{"text":"Question: Let m be (-7)\/(-4) - 1\/(-4). Let v = 0.183 - 1.073. Let y = v - -1.89. What is the nearest to y in -3, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1390633*-0.5\nAnswer: -695316.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aiia when four letters picked without replacement from iaaiai?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 + 40*q + 658. Let z be k(-12). Let d be 1 - -3*4\/2. Suppose 136 = d*n - 3*n. What is the greatest common factor of n and z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1320 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 33241771*i**4 - 143841*i + 37.\nAnswer: 398901252*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2875 a factor of 38971925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {l: 1, v: 1, a: 2, u: 2, i: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2905546731 rounded to four decimal places?\nAnswer: 0.2906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 11194111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -13256165 (base 8) in base 6?\nAnswer: -143414525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 13*s**2 + 7*s - 4. Determine u(3).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 60\/(-36))\/(3337\/(-639)).\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*l + 76*l - 1558 - 1744 = -782 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 16 = -o, 39*h + 24 = -o + 34*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2671, 11245, 25545, 45571, 71323, 102801, 140005?\n\"Answer: 2863*g**2 - 15*g - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/((1 - 5)\/2). Suppose -l - l + 16 = -a, -4*l - 2*a + 40 = v. Suppose l = 2*g - 5. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 10  (b) 46\/9  (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 5, -6, 74649 in increasing order.\nAnswer: -6, 5, 8, 74649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -80077*j - 641086. What is o(-8)?\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 528.0485 and -5?\nAnswer: 533.0485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f - 5*t - 15, -106*f - t = -109*f + 87. Suppose -2*x = -4*x + 70. What is the smallest common multiple of x and f?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*((x*x\/x**(9\/5)*x*x)\/x*x)\/x*x**(-16))**5)**(26\/5) assuming x is positive.\nAnswer: x**(-1794\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*h - 6*h**4 + 4*h + 0*h - 1 + (-2 + h + 2)*(7*h**3 + 12*h**3 - 6*h**3).\nAnswer: 7*h**4 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(-6*(sqrt(245)*2 + 3 - (0 + sqrt(245) + -5)) + 3))**2 + 3)*3.\nAnswer: 408240*sqrt(5) + 1171269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1234 a factor of 150053706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of -3*l + 2*l + 2*l**4 - 8*l + 6. Differentiate n(p) wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 5*q = -0*j - 3, -4*j + q = 45. Let i be j\/5 - 16\/(-40). Let u be i + 3\/(-3) + 8. Solve 2*l + u = n, 2*l = -0*l + 4*n + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of -i**4\/4 - i**3\/6 + 4*i**2. Let y be x(-1). Solve 0*g - y = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/2 + 433*j**2\/2 + 11655*j.\nAnswer: j*(j + 63)*(j + 370)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25204 + -25143.074. Let x = d - 61. Let m = -0.07331 - x. Round m to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 - 11*j - 3. What is the remainder when x(-6) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - 3c72?\nAnswer: -3c74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000050688 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -28*z - 81. What is s(-9)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-4)*6*(2 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -45*c. Let l(r) = 17*r. Determine l(g(y)).\nAnswer: -765*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of 5*w**7\/84 + 13*w**6\/6 - 125*w**5\/4 + 905*w**4\/6 - 1345*w**3\/4 + 765*w**2\/2 + 2*w - 99. Let m(x) = 0. Calculate x.\nAnswer: -34, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, m: 9, y: 3, n: 2}. Give prob of sequence myy.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*(-15)\/273 + (-4)\/(-14). What is the second smallest value in 5, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*w - 175*w**2 + 88*w**2 + 89*w**2 - 4*w + 16*w.\nAnswer: 2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 - 0 - (-28)\/(-7). What are the prime factors of ((-5*147)\/l)\/(5 + -4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*n - 2*n - 15 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -5*h - 8. Suppose 48 = h*m - 2*m + 3*w, -5*m = -4*w - 44. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 89 and 3382.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -2*m. Let c(l) = 42*l**2 + 8*l. Determine c(d(g)).\nAnswer: 168*g**2 - 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(2*(2*sqrt(15)\/(sqrt(3)*2))**2 + -2 + (sqrt(125) - (3 + sqrt(125)*1)**2)).\nAnswer: 50*sqrt(5) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 72*p. Let w be d(1). Suppose 0 = -5*r - 5*n + 875, -r - 4*n = -4*r + 560. What is the greatest common factor of w and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 460 divided by 115.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - s - 2*g + 37 = 0, -2*s + g + 754 - 831 = 0 for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 + 8*n + 7. Give q(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from imuzmsys. Give prob of sequence iu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 505\/9?  (a) -17\/75  (b) 0  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4028 - -4028. Solve -f + i - 8 = z, 2*f + 4*i = -0*i + 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 PM and 7:56 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -8*o - 84. Calculate the smallest common multiple of y(-12) and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(((sqrt(100)\/sqrt(2))\/sqrt(5))\/sqrt(2) - (sqrt(200)\/sqrt(5))\/sqrt(8)*2)**2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12.8043 - 27.2081. Let u = -40 - p. Round u to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10828771*q**5 - 9401897*q**2.\nAnswer: -649726260*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 69 + -163. Let v = t + 94.3. Suppose 3*g - 2 + 11 = 0. Sort 2\/17, -0.3, v, g in descending order.\nAnswer: v, 2\/17, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 45*l**2 - 173*l - 40. What is i(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(96)\/sqrt(2) - (sqrt(192)*1 - sqrt(192) - sqrt(12)))\/(sqrt(54)\/(sqrt(18)\/sqrt(2)) - 4*(sqrt(150) + sqrt(6))))**2.\nAnswer: 18\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, e: 2, z: 1, x: 6, p: 3, f: 4}. What is prob of picking 1 z, 1 p, and 1 o?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v + 12. Suppose -x - 4*w - 1 = 0, x - 19 + 17 = -w. Suppose -x*m = 4*b + 32, -3*m + b = -4*b + 41. Determine c(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - 3*w + 70. Calculate the greatest common divisor of w and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 471 = -2*a, 25*a - 479 = 23*a + 3*j. What is the greatest common divisor of 196 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -51 + 76. Let n = 273 - 244. Suppose -n*v + 8 = -s*v. Solve -5 = -v*i + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 396.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + 3 + (-42 - -57) + -78?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 7, r: 1, y: 2}. What is prob of sequence mry?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/126*-42)\/(28\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 9:52 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 - 4)*-13 + 0. Let x = t - 26. Suppose x*u = 5*u - 1090. List the prime factors of u.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -337  (b) 0.4  (c) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3372371 is divided by 678.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 2 a when four letters picked without replacement from {e: 3, a: 7}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13049.53 + -12927. Round t to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*13\/(-2))\/((-102)\/1190*(-119)\/(-102))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -8492*h - 5784. What is the hundreds digit of f(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 5365.702 millennia?\nAnswer: 5365702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9187603434610 + -28.\nAnswer: 9187603434582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/82)\/1*2550\/(-3400)?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-14)\/(-35) + (-33)\/(-5). Suppose k - 5 = -k + y, -2*k + u = y. Suppose 0 = -q - k*q + 40. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (7 - 9)*(-399)\/3. Let g be 5\/6 + f\/84. Solve r = g, 2*n + 4*r = 10 - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 3 + 0 + -18 + 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6522 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2588 = -10*l - 2448 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -283.975 - -281.27306. Let z = o - -2.7. What is z rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11608 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 13) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -2*u + 8. Suppose -18 = 4*b - 10*b. Suppose -5*d = -b*w - 5, -3*w = 4*d + 3 - 7. Is w smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6*(4982\/(-987) + 6\/(-21))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 257747\/12 + -21491. Let p = 746919\/308 - 16988\/7. Find the common denominator of l and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + 4*j - 3*j - 9, -2*j = 5*n - 14. Suppose 5 = n*c - 3. Suppose -22 - 2 = -c*l. Solve 0 = -p - 3*p - l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*c**2 + 4*c**2 + 3371678 - 3371678.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 1545570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-312)\/(-36) - (-7 + (-322)\/(-42))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-g + 1 - 1)*(1 - 5 + 2)*(-40 + 54 - 59)*(-4 + 2 + 1)*(4 - 1 - 1) in the form m + f*g and give f.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12 - -533454?\nAnswer: 533442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20 and 164908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -2026.\nAnswer: -1\/1013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 34 - (-4 - 2 - -17 - (-2 - -6))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.03108 - -798.66892. Let p = 838 - o. What is p rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 449 - 449 - 41*s**3.\nAnswer: -41*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 844 and 17302.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3300487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1939*z**3 - 3878*z**3 + 1931*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h**5 + 48*h**4 + 112*h**3 + 8*h**2 - 108*h - 56 = 0.\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/21 + ((-5)\/7 - -3). Suppose -y*w - 3*c = -19, -4*w = -3*w - 5*c + 23. Let q = 1749 - 40215\/23. Which is bigger: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 252 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 86818, 86966, 87114, 87262, 87410?\n\"Answer: 148*b + 86670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -331374*q - 2871565 wrt q.\nAnswer: -331374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 2*a - 3 = 0. Let n be a\/(-3) - (-6)\/(-18). Suppose n = 6*k - 5*k - 8. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.02 - -0.12. Let v = -0.3 + 0.01. Let y = v + 0.09. Which is the second smallest value?  (a) -0.1  (b) y  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -180301\/5 and 51\/25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 313 = y + 4*a, -a - a = -3*y + 897. Let b be (-4)\/30 + (-3)\/(-135)*186. Suppose -b*k + 198 = 26. Calculate the highest common factor of y and k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 + 11. Suppose c*r = 391 + 244. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37 is divided by (-49)\/(-4) - 15\/(-20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f**5 - 2*f**3 + f = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -54.7  (b) -10\/43  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -194 - -194.1. Let v = -0.17 - -0.2. Let h = 4.97 + v. What is the closest to 1 in y, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.9 - 0.5. Let t = r + -1.4. What is the biggest value in 1\/14, t, -4?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 - 43*y**2 + 62*y + 567. List the prime factors of i(47).\nAnswer: 109, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1622932 - 22931.2?\nAnswer: -1645863.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 64663 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -317*i**3 + i + 1. Let v be g(-1). Suppose -4*q = 3*k + 334, -118 = 5*q - 5*k + v. Let c = q + 123. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.291 + -124.709. Let q = 124.99929 + r. What is q rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21 - 30. Let o(r) = -r**3 - 11*r**2 - 19*r - 9. Let s be o(n). Solve s = -2*y - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 10:24 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*n - 3*n + 4*n)*(-6*n**3 - 4 + 4 + (-n**2 - 3*n**2 + 3*n**2)*(4 - 1 - 10)*(-4*n - n + 2*n)) to k*n**4 + o*n + u + i*n**3 + b*n**2 and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/3  (b) -0.5  (c) 132041\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from epymeyqmqqyyymepmm. Give prob of picking 1 m and 3 y.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 377650759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -160\/9*x**2 + 0 + 40\/9*x**4 + 16\/3*x**3 + 4\/9*x**5 - 256\/9*x = 0.\nAnswer: -8, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 687113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -25084191 divided by -25084191?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((k*k**1*k)\/k)\/k)**(11\/3))**(-2\/27))**(-4) assuming k is positive.\nAnswer: k**(88\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.027647491 rounded to 3 decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 6, -394, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (1430\/2860)\/((-58)\/8)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 672 by 3.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -5*sqrt(171) + 1)**2.\nAnswer: 120*sqrt(19) + 4291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (7\/((-196)\/12))\/(12\/(-21))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6832 and 8113?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/119772 and -145\/6804?\nAnswer: 7545636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114 = 54*z - 600 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 5, 2*z + 5 = -4*j + 31. Let r(t) = -t + 8. What is the lowest common multiple of j and r(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-8)*(-8)\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*y**2 + 22*y - 4.\nAnswer: -2*(y - 1)*(9*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1112, 1205, 1308, 1427, 1568, 1737, 1940, 2183?\n\"Answer: l**3 - l**2 + 89*l + 1023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*z - 10*z = 2, -q - 3*z + 2 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*w - 69 = -2*w. What is the second derivative of 134 + 2*h**2 - 134 - h**w - 291*h - 162*h**2 - 86*h**2 wrt h?\nAnswer: -6*h - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 225*d**4*m - 93*d**2*m**2 + d*m + 4*d - 2390*m**2 wrt d?\nAnswer: 2700*d**2*m - 186*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2984658 divided by 214\nAnswer: -13947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 334\/22 - (-4 - (-276)\/66). Suppose -4*u - 53 + 109 = 0. Is u < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 - -13. Suppose 0 = 5*g - p + 5*p - 25, -3*p = -q*g + 20. Suppose 0 = 2*d - 15 - g. What is the greatest common factor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -200111 (base 3) to base 7\nAnswer: -1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1352*d + 2055*d - 1025*d)*(4 - 5 + 0)*(3*d - 7*d + 3*d) to s*d**2 + q*d + u and give s.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.021081, -0.4, 0 in descending order.\nAnswer: 0.021081, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 283303.\nAnswer: 283303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*i**3 - 28*i**3 + 25*i**3 - 57*i**3.\nAnswer: -57*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27 + -6. Let y = 229782427.0000009 + -229782406. Let s = y - m. What is s rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11561 times -0.4\nAnswer: -4624.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of -7*u**2\/2 - 102*u - 61. Let d be t(-16). Is 12 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 829577 to the power of 1\/2, to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c + 1. Suppose -4*t + 8 = 96. Let d = t + 20. Let b(l) = l + 4. Suppose -2*j = -n - 3, 3 = -2*n + 1. Calculate d*f(m) + j*b(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 235453 (base 7) to base 5\nAnswer: 2332031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8410 divided by 4205?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -21 + 2ae7?\nAnswer: 2ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 3*s**4 + 40344*s**3 - 8689689*s**2 - 26351430*s - 17621400 = 0.\nAnswer: -13660, -2, -1, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -27 + 14. What is the remainder when (-5 + (-5 - f))*41 is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:13 AM and 5:22 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (130\/104)\/((500\/(-245))\/(-4)*7\/2).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a*a*(a**(4\/11)*a)\/a)\/a*a)\/a)\/a*a**(-2\/9)\/a)\/((a*(a**(-13)\/a*a)\/a*a)\/(a\/(a**(2\/15)\/a))) assuming a is positive.\nAnswer: a**(6439\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -14137 (base 9) to base 7\nAnswer: -36652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 - 9. Let i(v) = -1383*v - 1382*v + 2768*v - 2 - 8*v**2 - 12*v**2 + 21*v**2. Determine i(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1456800 by 321.\nAnswer: 485600\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 10*w**2 - 923*w - 936. Determine f(94).\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -5, -2, -1\/2, -6.7, 298?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14528898 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1417283*z**3 + 6*z**2 + 2*z**2 - 11*z**2 + 3*z**2 + 0*z**2 + 1417287*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 732*w - 1967?\nAnswer: 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 111201 (base 4) in base 6?\nAnswer: 10213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 185490 and 388842.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - 20) + (62 + -48 - (2 - 135))?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 87 + -610\/7. Let w be (2 - 0)*(-10)\/(220\/(-319)). Suppose 0 = -a - 4*d - 11, -w = -3*a - 2*a + d. Put 4\/9, a, 4, n in descending order.\nAnswer: a, 4, 4\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 384260, 384237, 384210, 384179?\nAnswer: 384144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -8345*w**2 + 220*w - 55. Let c(z) = -927*z**2 + 24*z - 6. Give 55*c(u) - 6*i(u).\nAnswer: -915*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d**2 - 128119355*d + 128119360 = 0. Calculate d.\nAnswer: -25623872, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16 + -14. Suppose -k*h = -h. Suppose h = -4*u + 16, -r + 56 = -4*u + 16. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the first derivative of -1\/2*l**2 - 6 + 2*l. What is u(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yygjggyglyg. What is prob of picking 1 l, 2 g, and 1 j?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, -21, -24, -27, -36, -57, -96?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 + 14*j - 5. Let v be z(-14). Let y be (-15)\/6*(-8)\/v. Which is bigger: -25\/6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8569*r - 135 = -8560*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.82947815 to 2 decimal places.\nAnswer: 1.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 785 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 5 - 9 = 0. Solve -c + 22 = s*t, 2*c = 2*t + 1 - 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (-10 + 0 + 9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2b9b5c7 (base 13) to base 15\nAnswer: -136e160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 150, 307, 474, 657, 862, 1095, 1362?\n\"Answer: g**3 - g**2 + 153*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26850267 and 315.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.6863 - -114.4063. Round r to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 129*a**2 + 59*a**2 - 14*a**2.\nAnswer: 174*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2726 and 203698.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the second derivative of -j**3\/3 - 3*j + 32. Let h(i) = -2*i**2 + 42*i. Calculate h(m(y)).\nAnswer: -8*y**2 - 84*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(5) + -5 - -4*sqrt(15)\/sqrt(3) - (3 + sqrt(10)\/sqrt(2) + (sqrt(5) - (sqrt(5)*-2 + sqrt(5) + 5))))**2.\nAnswer: -4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 33993 >= -578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 37\/(-333) - -1*1\/9. Solve b*u - 5*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -8\/5  (b) -112.8  (c) -0.1  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 2*d**2 + 8*d - 19. Let n(o) = -o**2 - 4*o + 9. Let i(g) = -2*k(g) - 5*n(g). Let q be i(-6). Sort -2, 0, q in decreasing order.\nAnswer: q, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*b - 5*l, 0 = b + l - 2. Solve -1 + 4*s**3 + 22*s - 5*s**4 - b*s**3 - 21*s - 3*s**5 + 6*s**2 = 0 for s.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1549788 divided by -129149\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 511*r**2 - 168*r**2 + 453*r**2.\nAnswer: 796*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23536*d**2*f**3*k**3 + 2*d**2*f - 13*d**2*k**2 - d*f*k**3 - k**2 + 1 wrt f.\nAnswer: 141216*d**2*f*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1.6, 2334, -10\/9, -0.52 in ascending order.\nAnswer: -3, -10\/9, -0.52, 1.6, 2334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2057049, 2057050, 2057051, 2057052, 2057053?\nAnswer: 2057054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -274 + 191. Let i be (5\/((-15)\/m))\/(-1). Let q = i - -28. What is the nearest to 1\/2 in 0.1, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1149654 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3706 - -29579\/8. Calculate the common denominator of -43\/22 and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54119?\nAnswer: 13, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 4*w = -2746, -2*y + w + 2731 = 2*w. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/(u\/((u*u*u**(-3\/7)\/u*u)\/u*u)*u))*u\/u**10)**(-4\/25) assuming u is positive.\nAnswer: u**(48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 161.06 + -163. Let c = -0.06 + s. Is c at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2565*a - 15*a**3 + 2 + 2565*a)*(0 + 0 + 3*a) in the form r*a + l*a**3 + w*a**4 + d + b*a**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - c = 15. Let y(g) = 2*g**2 + 3*g + 4. Let j(p) = -p**2 - p - 1. Calculate c*j(s) - y(s).\nAnswer: s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 68 - 2 - ((14 - (-11 + 10)) + -2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4682 or -4684?\nAnswer: -4682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/469623976 or -1?\nAnswer: -1\/469623976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 215738821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -115 - -114. Let c = 5088 - 5079. Put 0, j, -20, c in increasing order.\nAnswer: -20, j, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -2*z**2 + 15*z - 32. Give r(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 43*113 + 1 + (-177 - -168)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4 + 9 = 0. Suppose -129 = -3*p - 2*c, -2 = k*c + 13. Calculate the remainder when p is divided by 990\/40 + (-9)\/12.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 628, -23, -4 in descending order.\nAnswer: 628, -1, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppdpdppdpp. Give prob of sequence dp.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 l when three letters picked without replacement from lhhhll?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10*f*j**2*k - 3*f*j**2 - 2*f*k**2 + 3*j**3*k**2 - 23*j**3 wrt k?\nAnswer: -10*f*j**2 - 4*f*k + 6*j**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 592648.\nAnswer: 2, 7, 19, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/33 + 3\/((-33)\/79). Let o = 16 + g. Solve -1 = y - t, 0 = -y + 4*y + t - o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3016 + -2776. What is the smallest common multiple of x and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 14*b**3 - 238*b**2 + 17*b - 320. What is d(17)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + -2837848?\nAnswer: -2837844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-20))\/((-1)\/5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b and 1 x when four letters picked without replacement from {m: 1, x: 2, g: 1, b: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 383417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*i - 8*i - 400 = 0. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 301.574 to the nearest integer.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the second derivative of 19*n**7\/42 - 7*n**3\/2 - 31*n. What is the second derivative of k(i) wrt i?\nAnswer: 380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1522 is divided by 1458.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*g - 270 = 64*g + 162 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -10*c**3 + c**2 - c. What is a(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5502*v**2 - 5510*v**2 - 3*v + 3*v.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 55 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1727.135 minus 14143?\nAnswer: -12415.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 75927.1262 to the nearest ten.\nAnswer: 75930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13639.\nAnswer: 23, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 103602472?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of (-4)\/(12\/(-15))*9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of d**4 - 263*d**3 + 271962*d**2 + 422649522.\nAnswer: 4*d**3 - 789*d**2 + 543924*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -5*i - 2*r + 96390028, 3*i + 4*r = 96390038. Let g be 2\/(-7) - (i\/(-21) - 0). What is g rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 368, 509, 732, 1037, 1424?\nAnswer: 1893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (207\/15)\/(2\/(-10)). Let v = o + 193. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -180*x - 244*x + 3 + 47*x.\nAnswer: -377*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -93 + -63a?\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 94 - (1 - (1 - 3)). Suppose 3*d = 5*j - o, j + 0*d - 35 = -5*d. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, f: 3}. What is prob of sequence ff?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*f - 23 = d + 7*f, 0 = -5*f + 25 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 12*b**2 - 8*b**2 - b**2 - 4*b**2. Let n(a) = 55*a**2. Calculate g(n(c)).\nAnswer: -3025*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q + 17. What is the tens digit of z(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*k + 120. Let b = -16 - k. Suppose 5*a = b + 7. What is the least common multiple of 10 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/(-28))\/((-12)\/14)*(-60)\/(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -13 and 37692232.\nAnswer: -489999016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 6*p + 32. Let b be y(7). Suppose -69*k = -b*k. Solve k = -5*q - 2 - 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.329 + -1.071. Is 0.393 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*o - 173675550 = -16*o. Let p = o + -63954075. What is p rounded to the nearest 1000000?\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*2*(3*sqrt(75) + 0).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -3*n**3 - 94*n**2 - 11*n + 553. Give k(-31).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in -2, 11, 1\/6, 1\/7, -0.33286?\nAnswer: -0.33286","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1299419 is divided by 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(((-15)\/(-6))\/5). Let k(d) = 2*d**2 - d**2 + 2*d - 3*d + d**h + 3. Does 12 divide k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 407*v**2 - 76*v + 75. Let p be r(1). Suppose -400*q = -p*q. Factor -4\/7*w**3 + 0*w - 4\/7*w**2 + q.\nAnswer: -4*w**2*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 6*u**3 + 159*u**2 - 429*u + 174 = 0?\nAnswer: -29, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/477  (b) 2\/5  (c) 1\/2  (d) 5  (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 261 and 5843935?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.22 + 0.15. Is w less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g - 10. Let w(q) = -q. Give -u(r) + w(r).\nAnswer: -2*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 170\/12 + -10 + 10 + (-1)\/(6\/1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8308 - 5442. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2.16, 71, -2 in decreasing order.\nAnswer: 71, -2, -2.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 54641 + -2b9?\nAnswer: 54366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 13*w**2 - 4*w - 4. Let u(d) = -208*d**2 + 65*d + 65. Let x(p) = -65*a(p) - 4*u(p). Let n(i) = -62*i + 2 - 48*i - 2 + 100*i. Determine x(n(r)).\nAnswer: -1300*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-58)\/(-30)*6*215\/86*(-6)\/(-30).\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 2*p - 4*p + 4 = 0, q + 4*p = 8. Solve 2*r - 3*c - 5 = -q*c, 0 = 2*r - 2*c - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 2, 2.6, 4, 22, -7, 2\/17, -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -110010110000100 (base 2) in base 12?\nAnswer: -13058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 3)*(-3*a**5 - 10*a**5 - 7*a**5)*(-6 + 3 + 2).\nAnswer: -40*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129884221?\nAnswer: 3467, 37463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3642, 1, -3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 8329 = -5*q + 47549, 0 = 5*c + 25. List the prime factors of q.\nAnswer: 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of 1 + 0*m**2 + 2\/3*m**3 + 0*m. Let l(f) be the third derivative of -f**4\/12 - 3*f**2. Determine x(l(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + 4. Let d = 1 + -2. Let m(p) = p**2 - 8*p + 2. Let j be m(7). Which is the nearest to 1\/3?  (a) z  (b) d  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**2 + w**2 + w**2 + (2*w**2 + 0*w**2 - w**2)*(0 - 5 + 0)*(-2 + 2 - 1)*(-3 - 27 - 16).\nAnswer: -229*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 + 90 = -5*a. Suppose 4*x + 8*x + 16080 = 0. What are the prime factors of a\/5*x\/8?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1537.16 rounded to the nearest ten?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand t**5 + 2*t**5 - t**5 + t**5 + 2*t**3 - 2*t**3 + (2*t**4 - t**4 + t**4)*(1 - 2*t - 1) - 3*t - 3*t**5 + 3*t + 4506*t + 86*t**5 - 4506*t.\nAnswer: 82*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 39 + -40. Which is the nearest to g?  (a) -2\/3  (b) -7  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*w**3 + 50520*w**2 + 128066985*w + 2288866410.\nAnswer: 5*(w + 18)*(w + 5043)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 74 and 300218?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 287\/(-123)*16\/(-14)*8\/(-16)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -32\/44264869 and -5\/20801.\nAnswer: 2700157009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 29073\/2002 + 2\/4 - 15.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13428140 by 1220740.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.21  (b) 3\/5  (c) 1\/6  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 2*y + 3*y + 23 = 0, z = 3*y - 1. Suppose 6 = 2*m - 0. Solve -2 - m = -z*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**3 - 6*q**3 + 3*q**3)*(3*q - q + 0*q + (-2*q + 3*q + q)*(2 - 6 + 2) - 2*q + 0*q + q + 6*q - 4*q - 3*q)*(3*q - q - q).\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3368145*d**3*u**3 + 118407*d**3*u**2 - 6*d*u**2 - u wrt u.\nAnswer: -20208870*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*t + 14*t = 6. Find the second derivative of -17*k + k - 5*k**5 - t*k**5 + 7*k**5 wrt k.\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6\/(-8))\/(2\/(-16)). Let o = -19 - -25. Solve o + t = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 - 3*t**2 - t + 1. Suppose -26 = 3*n + 4. Let c = 7 + n. Let o be g(c). Solve 0 = -o*m + 2*m - 4, 3*f = -2*m - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 75 - -123. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18 and 88390.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 638 or 635?\nAnswer: 635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5502, -11009, -16518, -22029, -27542?\nAnswer: -33057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -7\/4, -6\/11, 47, -5, 101, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/2*18\/3. Let j = 0.1 - -0.1. What is the biggest value in -2\/5, i, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 278*d*v**2 + d*v - 72*d + 9072*v + 163501 wrt v?\nAnswer: 556*d*v + d + 9072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 3*y**4 - 78*y**3 - 22503*y**2 + 814218*y - 4062240 = 0.\nAnswer: -91, 6, 31, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 52605802 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 149 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -88409, -176860, -265309, -353756, -442201, -530644?\n\"Answer: c**2 - 88454*c + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-64)\/(-16) - (-1 + 8) - 0. Let g be 2\/k*72\/16. Let q be (0 - 3)*(-7)\/(-21) - g. Solve -8 = -3*c - q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 476173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, -2.9, -0.22, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**2 - o + 9. Let j be h(0). Suppose -x + j = -0*x. Calculate the lowest common multiple of (-4)\/14 + 23\/7 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 3:18 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide ((-24)\/(-18))\/(1\/27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*m + 3*m - 34*m - 28*m in the form j*m + z and give j.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 30*m + 23*m - 82*m + 25*m. Let y(k) be the third derivative of -k**5\/30 - k**2. What is y(f(w))?\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of -14 + 12 + (5 - -3) and 230.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1804975*i**2 + 2 - 3609959*i**2 - 2 + 1804978*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 - (-28 + -2 + 64)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1003 (base 4) to base 16\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) -11  (c) 8  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/40 and 25\/296?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.43 - 0.13. Which is the closest to 0.06?  (a) 4  (b) j  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4140945, -0.5, -1\/5, 0.02?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l + 17. Let k be g(11). Find the common denominator of -3 + 91\/(-6) + -1 and (-16 - -15) + 1\/k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*c**3 + 21679956*c**2 + 130079564*c - 151759524 = 0. What is c?\nAnswer: -5419983, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -100*k + 41. Let r(p) = 205*p - 83. Let o(a) = 7*h(a) + 4*r(a). Differentiate o(n) wrt n.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k - 8. Let u be n(6). What is the third derivative of -m**3 - 2*m**u - 14*m**2 + 11*m**2 + m**3 wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 3*v - 20. Let x be o(6). Let q be 3\/x*(-17 + 13). Let a be 15\/5*((-16)\/q)\/(-2). Solve -a*w = -0*w + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 23*q**3 - 14*q**2 - 29*q - 35. Let j(l) = 8*l**3 - 5*l**2 - 10*l - 12. Let o(i) = 17*j(i) - 6*z(i). Let y be o(-4). Round y to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200)*-2)\/sqrt(4) + sqrt(250)\/(sqrt(5) - sqrt(80) - sqrt(5) - sqrt(5)).\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 400 + -395. Solve -h*b - 18 - 12 = -5*g, 4*g - 22 = 3*b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2206765883?\nAnswer: 7, 163, 1934063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j + 4*j - 120 = 0. Let x = -19 - j. Suppose -x = 2*z + 5. Let v(w) = -w**2 - 6*w + 7. Determine v(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.035 + 0.265. Which is the closest to -0.1?  (a) p  (b) 1\/10  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (24\/(-20))\/(4\/(-10)). Let a = 973 + -529. Suppose p*t + a = -t. Round t to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 + -3. Let u be ((-21)\/15 - s)*5. What is the units digit of u\/(-8) + 14\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -3 + 105 + -115?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 13396 and 50.\nAnswer: 334900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 26213.08ng in kilograms?\nAnswer: 0.00000002621308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = -5*c + 2*g, -3*c - g + 5*g - 22 = 0. Let i(u) = u**3 + 7*u**2 + 7*u + 3. Let z be i(c). Let d = z + 4. Solve -14 = -5*o + d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -43, -41, -37, -31, -23?\n\"Answer: m**2 - m - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.71782 to two decimal places.\nAnswer: 4.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 9133, 9470, 9797, 10108, 10397, 10658, 10885, 11072?\n\"Answer: -p**3 + p**2 + 341*p + 8792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - 6)*5\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/25?  (a) 232  (b) 1\/88  (c) 1  (d) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1224 divided by -34.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, 0.31, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 34443 + -12079. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a week in minutes?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 3*i**3 + 7*i**2 - 2*i - 7. Let n(v) = 2*v**3 + 4*v**2 - v - 4. Let a(z) = 7*n(z) - 4*u(z). Find the second derivative of a(k) wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 2 - 3)*(4*o**2 - o**2 - o**2) - o**2 - o + o + 2*o + 7*o**2 - o + o to w + c*o + r*o**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 82 and 352?\nAnswer: 14432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(18) - -1*sqrt(18)) - sqrt(54)\/sqrt(12))\/((-1*sqrt(540))\/sqrt(10)).\nAnswer: 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2.594028 centuries?\nAnswer: 3112.8336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2053*u + 2062*u = 135. Let j(q) = q**3 - q**2 - q + 1. Let t be j(1). Solve -3*d - u = -2*r, t*d = -3*d + 5*r - 24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4342 is divided by 1442.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 117\/79880 and 33\/17957024.\nAnswer: 89785120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1615\/29 < -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 528 is divided by 148.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43 = p - 38 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3637\/5469 + -3\/1823. What is the nearest to -0.06 in 1\/3, 2, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1625736 divided by 6?\nAnswer: 270956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1739*g + 1774*g - 210 = 0. Solve o - s = -35 + 41, -3*s - g = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v + 637 + 575 = 0. Let u = 3845 + v. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -689180*w + 344571*w + 344564*w. Let p(s) = 3*s - 15. What is p(u(g))?\nAnswer: -135*g - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -134309444657715764530\/5296759 + 25356910642473. Let k = -129\/611 - j. Let r = -459413\/190718 - k. What is the common denominator of 11\/18 and r?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + (-26)\/(75\/((-7875)\/42))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -15 divided by -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -29, 6\/5, -3\/7.\nAnswer: -29, -1, -3\/7, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 5 + 2*k**2 + 6*k**3 - 2*k**2 - 2*k**2. Let i(n) be the first derivative of -n - 76443. What is c(v) + 5*i(v)?\nAnswer: 6*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a89 (base 15) to base 13.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 PM and 8:14 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 11) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and 1540.5545.\nAnswer: 154.05545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.02 times -0.77984\nAnswer: -0.0155968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32691611?\nAnswer: 1747, 18713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.04 - -3.04. Let u = -0.14 + 0.64. Let t = -5 + 9. Which is the nearest to -1?  (a) t  (b) u  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + 74. Suppose -4*g + 306 = 3*r, g + r - n = -2*r. Suppose -2*b + 4*m + 189 = -m, -g = -b - 4*m. Is b a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from unuttnnttntt. What is prob of sequence unun?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -339 divided by -670622.\nAnswer: 339\/670622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 133915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/((f**(-2\/7)\/f)\/f))\/f)**46)**(-9\/4) assuming f is positive.\nAnswer: f**(-1656\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 35  (b) -0.6  (c) -0.2  (d) 0.4  (e) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/(f\/f**5)*f*f\/f**(-2\/49) assuming f is positive.\nAnswer: f**(345\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**7*q*q*q*q\/q**(-3))\/(q**2*q\/(q\/q**(-9))))\/((q**(-2\/7))**(13\/3)*q**(4\/5)\/((q\/(q\/(q**2\/q*q)))\/q)) assuming q is positive.\nAnswer: q**(2461\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**0)**(-6\/5))**(-2\/27))**(-7\/6) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**3 - 3*j - 1. Let q(a) = 4*a - 39. Let z be q(8). Let p(y) = y**3 + 3*y + 1. Give z*p(k) - 6*g(k).\nAnswer: -k**3 - 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 - 5*h**2 + 4*h - 1. Let g(l) = -l**3 - 11*l**2 + 13*l + 6. Let y be g(-12). Calculate the smallest common multiple of r(y) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*l**2*s - 166*l*s + 781*l + 39*s - 4473 wrt l.\nAnswer: 8*l*s - 166*s + 781","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 301030 (base 7) to base 11\nAnswer: 35179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 16650\/99 + (-2)\/11. Suppose f = -2*f - x. Let p = f + 166\/3. What is the smallest value in p, -0.3, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) -2  (c) -2\/13  (d) -5  (e) 50  (f) -1\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-92)\/10 - (-24)\/120. Let d(a) = 10*a**2 + a - 1. Calculate the remainder when (-67)\/(((-6)\/x)\/(4\/(-6))) is divided by d(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 3 - 6 = 0. Suppose 0 = a - f*a + 308. What is the greatest common divisor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 1\/6, 2\/31, 1, -2\/13 in descending order.\nAnswer: 1, 0.5, 1\/6, 2\/31, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -23 - -32. Suppose 7*t - p = 12. Let o(n) = n**3 - 4*n**2 + 4*n - 4. Let r be o(t). Which is smaller: -7\/5 or r?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(114)\/sqrt(6) + (sqrt(209)*-1)\/sqrt(11).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 44 = 6*j. Suppose -j*u = -2*x - 16, 11*x - 5*u = 12*x - 27. Solve -x*l + 42 = 32 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 306832 is divided by 154?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from {k: 7, q: 11, f: 2}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 + -12. Which is the closest to 2?  (a) -0.1  (b) m  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -12035207 and -0.5.\nAnswer: -12035207.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -47, 11, 5 in decreasing order.\nAnswer: 12, 11, 5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 54751*a + 31 = 54748*a, 2*y + 2*a = -18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-293)\/112)\/(30\/(-1070)). Let t = r + -1511\/16. Calculate the common denominator of -79\/18 and t.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 12:54 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/9  (b) 3\/4  (c) -1766  (d) -4  (e) 8  (f) -5  (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**3 + 3*j**2 - 4*j + 3. Let z be b(-4). Suppose 3 = -2*u + 5*y, 4*u + 7*y - 2*y - 9 = 0. Solve z*x - 2*x - u = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13923 and 280917?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**6\/n*n**(-7))\/(n\/n**(-2\/3)*n*n\/(n\/n**(-7))) assuming n is positive.\nAnswer: n**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of 7*x**5\/60 - x**4\/18 - 7*x**3\/18 + x**2\/3 - 8*x + 17. Let u(s) be the first derivative of q(s). Factor u(n).\nAnswer: (n - 1)*(n + 1)*(7*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -105293036, -105293034, -105293032, -105293030, -105293028?\nAnswer: -105293026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*o - 80 + 233 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13464585 and 990.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 952 = 1008. Let h = 487 - z. Let a(d) = -2*d**3 - 5*d**2 - 4*d - 1. Give a(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 39268 - 39268 + 195*c in the form i + m*c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - h**3 + (0 + h + 0)*(h**2 - 2*h**2 - h**2) + 2*h**3 - h + h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/((s\/(s*s\/(s\/((s*s**(2\/7))\/s)))*s)\/s))**(6\/17))**41*s**(-2\/5)\/(s*(s\/(s*s**(-5)\/s))\/s)*(s**(-1))**(-4\/3) assuming s is positive.\nAnswer: s**(24166\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 9\/(-12) + (-15)\/(-4). Let d be (v\/(-6))\/((-2)\/20). Suppose 5*a - a = m + 8, -m = a - 2. Solve d*g = 2*p - 5 - 4, -3*p + 5*g + 6 = m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -20202, -22061, -23920, -25779?\n\"Answer: -1859*r - 18343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 133.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.86272 nanoseconds in seconds?\nAnswer: 0.00000000686272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 423 = 10*j - 9247. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1709 or 76898\/45?\nAnswer: 76898\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 - -2. Let n = f + -7. Let j = n + -2.0000072. Round j to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 601 + -545. Calculate the greatest common divisor of l and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a and 1 k when four letters picked without replacement from aaakaak.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 594\/(-363) + (-2)\/13 + (1260\/(-286))\/21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 + 3*v + 22. Let w(k) = 3*k**2 + 7*k + 45. Let m(y) = 5*c(y) - 2*w(y). Let b be m(0). Suppose 5*i - b = 5. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -138.56 + -288950.7\nAnswer: -289089.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 20 = -g. Suppose g*v + 12 = 64. Suppose 9*y - 13*y + 460 = 2*x, 4*x = -16. What is the greatest common factor of y and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 61948?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 2*t**2. Let r(k) = -102*k + 17. What is y(r(b))?\nAnswer: 20808*b**2 - 6936*b + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/2843014 or 0?\nAnswer: 1\/2843014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((1 + sqrt(98))**2 - sqrt(2) - (-5 + sqrt(2) + -1)).\nAnswer: 12*sqrt(2) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(-2)*(-48)\/(-84). Which is the smallest value?  (a) 2  (b) w  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11371, 5\/3, 0.1, 5, 1\/6 in descending order.\nAnswer: 11371, 5, 5\/3, 1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ebw when three letters picked without replacement from {b: 4, x: 2, w: 4, d: 8, e: 1}.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*b - 24 = -4*y, 2*y - 6*y + 4 = 3*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 26*b - 9*b - 15*b + 2*b + 0*b + 0*b + (-3*b - b + 5*b)*(0 + 5 - 3) - 2 + 2 - b + 0*b + 3*b - b - 2*b - 2 + 2 + b - 2*b + 2*b.\nAnswer: 6*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 153489.4 + -1.\nAnswer: 153488.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j + j + 4*j)*(2*j**2 - 2*j**2 - j**2) + 37*j**3 + 4*j**3 - 148*j**3.\nAnswer: -109*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.21820362 and -9.\nAnswer: -9.21820362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)\/sqrt(4)*2)\/(sqrt(891) + (sqrt(891) - sqrt(891)*4) + sqrt(891) + sqrt(891) - sqrt(11)) + (sqrt(242)*-3*5 + -3)**2 + -4.\nAnswer: 988*sqrt(2) + 54455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0015087 to five decimal places.\nAnswer: 0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 10) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -504 + 496 = r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -3  (b) 5056  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 257306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jwjtit. What is prob of picking 1 w, 1 j, and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28 + -12)\/8 - (-21)\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 6 - 5*f - f + (-3 + 1 + 0)*(-f - f + f).\nAnswer: -4*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*l**4 - 13*l**4 + 0*l**4 - 2*l**2 + (-2*l**4 + 3*l**4 + 0*l**4)*(2 - 3 + 2) + 0*l**3 - 2*l - 2*l**4 + 0*l**3.\nAnswer: -7*l**4 - 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-20)*(-595)\/(-34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 321926, 1287664, 2897228, 5150618, 8047834, 11588876, 15773744?\n\"Answer: 321913*r**2 - r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * 524.\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -450 + 462. Let r be (11 + -10)\/((-3)\/l). Let j = 38\/3 - 13. What is the nearest to r in 1\/9, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99 = -y + 31. Let k = y + 205. Suppose -z = -4*w + 883 + 508, -w - 4*z + k = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 73.9 + 21.1. Let j = 2063835 + -2063930.0079. Let d = j + s. Round d to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 - 155*s - 626. Let z be l(-4). Is z <= -332\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3159544 is divided by 87?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (26 - 12 - (-6 + -11)) + -6 + -3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -44, -75, -104, -125, -132?\n\"Answer: u**3 - 5*u**2 - 23*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 62*o**2 + 12*o**3 - 62*o**2 + (0 + 1 - 3)*(-o**3 + 0*o**3 + 2*o**3) - o**3 - 2 + 2 + 2*o**3 + 2 - 2.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -3*k + 56. Calculate the smallest common multiple of o(4) and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47464 (base 8) in base 13?\nAnswer: 92c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*q - 891 = -464, q = -2*k - 67 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90 = 22*v + 32*v + 36*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 + 8*n**2 + 7*n + 7. Let h = 27 - -6. Let v = -40 + h. Calculate b(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 - -47.1. Let t = z + -36.6. Let a be ((-2)\/(-4))\/(2\/(-4)). What is the closest to 1 in a, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4343030020 - -1?\nAnswer: 4343030021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3 - 16*y**2 - 152*y - 224.\nAnswer: 2*(y - 14)*(y + 2)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 207695957 and 54181554?\nAnswer: 1246175742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 18203, 18205, 18207?\n\"Answer: 2*q + 18201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -5284529.8 to the nearest one thousand.\nAnswer: -5285000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:14 AM and 12:51 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3 - 7\/5*n**4 - 1\/5*n**2 + 0*n - 3\/5*n**5 + 0.\nAnswer: -n**2*(n + 1)**2*(3*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 175*o + 13671. What is c(-78)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a**2. Suppose -5*w - d - 1 = -0, 3*w + 5 = -5*d. Let m(h) be the second derivative of 1\/3*h**4 + 8*h + 0*h**3 + w + 0*h**2. Determine m(l(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 123246, 123294, 123498, 123936, 124686, 125826, 127434?\nAnswer: 129588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -4*t**5\/9 + 20*t**4\/3 - 268*t**3\/9 + 124*t**2\/3 - 160*t\/9 = 0.\nAnswer: 0, 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*p + 9806 - 3*p - p.\nAnswer: -p + 9806","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 18*a - 136800 = 0. Is a a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.2172 - -0.215. What is a rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47237\/((-4)\/(-30) + 156\/180) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10079 is divided by 5019.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 79 + -53. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(-8)*r**(-3\/8)\/r)\/(r**1)**19 assuming r is positive.\nAnswer: r**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 122890, 247646, 372402, 497158?\nAnswer: 621914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-5 + 9 + -1) - (170 + -217).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/(-8))\/((-8)\/(-32)). Find the first derivative of -9*r**2 - 2 - 10 + 0 - w wrt r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 - 7*h**2 - 6*h + 5. Let o be m(-6). Suppose 2*s = l - 37, l - 6*l = -o*s - 100. Let f = s - -291\/17. Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 44329 and 101911.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -18*q**2. Let r(y) = -1724010*y. What is r(g(v))?\nAnswer: 31032180*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -70 - -1994?\nAnswer: 1924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -31 - -28. Let q(h) = -16*h**3 + 2*h**2 - 4*h - 2. Let f be q(y). What is f rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3, -27, -287, -891, -1953?\n\"Answer: -19*r**3 - r**2 + 106*r - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 1056 = -4*n - m, -m = 5*n - 5304. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.5, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -7 + 4 - t**2 + 4. Let k be p(0). Solve y + k = 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 62919.33 decades to millennia.\nAnswer: 629.1933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32063264 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1038915.124 - -0.005029\nAnswer: 1038915.129029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 3*s + 10. Determine v(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -c**3\/3 - 272*c**2 + 154801*c\/3 - 442128 = 0.\nAnswer: -976, 9, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 + -3203211311012?\nAnswer: -3203211311001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16576 is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*x**4\/7 + 184788*x**3\/7 - 11094606*x**2\/7 - 11648960*x\/7 + 22558776\/7 = 0. What is x?\nAnswer: -92454, -2, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 185 + -55. Calculate the remainder when w is divided by (7\/2 + 2*65\/(-26))*-46.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 430313 + -244060. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-3)\/6)\/((-2)\/(-20)). Let i = n + 8. Suppose 3*m + i = 18. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1055, 1093, 1159, 1253, 1375?\n\"Answer: 14*s**2 - 4*s + 1045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -213435335 (base 6) to base 16\nAnswer: -3a37ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1  (b) 0.4  (c) 721  (d) 3.9  (e) -2\/3  (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -3*f**2 + 4*f - 4. Calculate l(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1.8, -1\/3, -0.5, 64, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/60, -5, 0.1?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2072.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1250 - -1993. Let h = c - 739.71. What is h rounded to 1 dp?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67968 divided by -3?\nAnswer: -22656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16258 - -4929. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 55*h**3*k**3*x**3 + 8*h**3*k**2*x**2 + 2*h**3*k**2 - 38*h**3*x - 9*h*k*x**3 - k**3*x**3 - 565*k**3 wrt k?\nAnswer: 330*h**3*x**3 - 6*x**3 - 3390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o. Let s(r) = 4*r**3 + 7*r**2 - 2*r + 13. Let b(q) = -s(q) - 3*y(q). Let i(z) = 5*z**3 + 7*z**2 + z + 14. Let h(g) = 4*b(g) + 3*i(g). Give h(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*d + 2*a + 8, 2*d - 2*a - 2 - 2 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001101010101 - -10101101010?\nAnswer: 10100010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -202.7 + 204. What is the closest to 6 in 1\/7, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -647763 - -647296.273. Let x = a + 467. Round x to two decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14?  (a) 34  (b) -0.07  (c) -2\/13  (d) 2\/9  (e) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -11*g**2 + 916*g + 666. What is x(84)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 7, 1, 162, -380, -3 in decreasing order.\nAnswer: 162, 7, 2, 1, -3, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1\/10, -22, 1\/6, 0.3 in increasing order.\nAnswer: -22, -5, 1\/10, 1\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/(-22))\/(15\/(-10)). Which is the third smallest value?  (a) n  (b) 0.1  (c) -0.1  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*a**3 - 3*a**3 + 2 - 6*a**3 - 6*a**3 - 2*a to f + y*a**3 + t*a**2 + q*a and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 1 = v - 3*f, -3*v = f + 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**2 - 10*v - 9. Let x = -61 + 55. Determine b(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 82*l - 402. What is p(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4230636 (base 7) in base 3?\nAnswer: -221222222010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c + 6. Let o be j(-3). Let w(t) = 14*t**2 + 0 + 9 - 4*t**o + 5*t**3 + 19*t + 2. Let r be w(-11). What is the highest common factor of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (32 - -16 - 31) + -24 + 105\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v. Let q(c) be the third derivative of -2*c**2 + 0*c + 0 + 0*c**3 + 7\/24*c**4. What is q(f(n))?\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*g*t**3 + 112*g*t + 5*g + 218765*t**3 + t + 1389 wrt t?\nAnswer: 30*g*t + 1312590*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19 + -11. Suppose -p = -2*m + 2. Solve 4*x + 28 = -4*t, 3*x + m = t - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 + (2 - 1))*(-64)\/8. Let t be (0\/(-7))\/(n\/(-4)). Solve t = -10*o + 12*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*12*16\/12. Suppose -4*w - 10 = 3*n + 18, -30 = 5*n + 5*w. Solve -n*q + 0 = -a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 883987099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -10201222120 (base 3) to base 6\nAnswer: -1324453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -2*f**3 - 6*f**2 - 4*f - 7. Suppose 0*w + 5*p = 3*w + 26, 5*w - p = -36. Let s be c(w). Let i = s + 147. What is i rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 24 + 8 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 + 3\/6*-2. Let s be 15\/(-1 + -2)*44\/(-55). Put s, -3, 5, q in increasing order.\nAnswer: -3, q, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 8*n**3 - 21*n**2 + 46*n - 13. Calculate s(3).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -9*s - 4. Let x be v(-5). Suppose -25 - 25 = -10*t. Let a = x - t. Calculate the remainder when a is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 232478 times -2\nAnswer: -464956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2874 and 20608017.\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 2*p**2 + 7*p - 6. What is the hundreds digit of i(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19841 (base 10) in base 7?\nAnswer: -111563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(5 + (-3*(sqrt(396) + 1) + 2)*3*4)*-5.\nAnswer: 35 + 1080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9177238?\nAnswer: 2, 7, 655517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -156.963 + -0.037. Let z = -156.95 - p. What is the closest to 0.1 in -2, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 16735\nAnswer: -6694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 12*i**2 + 16*i + 15. Let d be k(-1). Suppose d*w - 21384 + 5874 = 0. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, -10, -46, -82, -118, -154?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 + 6*f + 6. Let o be x(7). List the prime factors of (o + 7)*8\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**1\/(h\/(h**(-1\/14)\/h*h*h))*h**(-1\/4)*h\/h**7)\/(h**(-1\/5)\/h**(-4))**9 assuming h is positive.\nAnswer: h**(-5533\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5217.\nAnswer: 3, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1251 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1001010110 (base 2) in base 7?\nAnswer: -1513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 302*n**4*q + 10*n**3 - 199*n**2*q - 24647*n - 60*q wrt n.\nAnswer: 3624*n**2*q + 60*n - 398*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + 65\/25)*-5. Suppose 0 = -6*z + 2*z. Sort 2, q, z in descending order.\nAnswer: 2, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*j + 2*j + 0*j)*(4*j - 3*j + 0*j) + 2*j**2 - 6*j**2 - 5*j**2 - 4 + 4 - j**2 - 1 + 4*j.\nAnswer: -12*j**2 + 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5247 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 n when three letters picked without replacement from dknknkqdckwkndkdcc?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 2*k - 180. Let b(z) be the second derivative of -z**3\/6 + 79*z. Calculate c(b(n)).\nAnswer: -2*n - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 5 = -17. Suppose 2*b + 3 = m*b. Solve o + 0 = b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1045 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f**2 - f - 1. Calculate i(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -2507*t**2 + 115*t + 575. Let m(p) = 66*p**2 - 3*p - 15. Let n(o) = -115*m(o) - 3*z(o). Let f(j) = 18*j. What is f(n(u))?\nAnswer: -1242*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004570127 to six decimal places.\nAnswer: -0.00457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 619?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2654 - 0.0654. Which is the second biggest value?  (a) 2  (b) 21\/4  (c) w  (d) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/11)*d)\/d**3*d**5\/d**(1\/2)*(d\/d**4)\/(d**(-1\/5)\/d)*d**4\/d**(-2\/3) assuming d is positive.\nAnswer: d**(1741\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100*g = -98*g - 12. Suppose -g*l + 159450 + 35352 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 + 20*l + 1173. Give c(-32).\nAnswer: 1557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 3*x - 3. Let s = 25 + -22. Let p be j(s). Solve -2*q + p = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes after 10:00 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15 or -143\/9?\nAnswer: -143\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -0.3  (b) -12\/19  (c) -2\/15  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 17 - 3*a - a - 7 + 3*a. Let h be k(10). Suppose -z + h*z = -8. Solve -3*j + x = z, -5*j + 5*x = -3*j + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.3 + 2. What is the nearest to 1 in v, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, -12, 0.05, 0.76, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 7 + 11)*(-2*s + 2*s - 2*s)*(-7 + 3 + 3) + (26 + 3 - 6)*(s + s - 3*s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1051 in 3\/7, -1243, 14, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(136)\/(sqrt(512) - sqrt(8)) - (sqrt(17) - -5*(sqrt(102)\/sqrt(6))**2).\nAnswer: -85 - 6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence shhs when four letters picked without replacement from hdsssdsdshssdsss?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26246, -209988, -708716, -1679924, -3281106, -5669756, -9003368?\nAnswer: -13439436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 236*j + 40. Let b(f) = -2*f - 2. Give 20*b(l) + i(l).\nAnswer: 196*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.9 - -5. Let x = h - 2.2. Let c = x + 0.1. What is the nearest to 0 in -0.4, c, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*i**4 - 661 + 632 - 11*i**4 - 2*i + 4*i**2 to the form v + r*i**4 + z*i**3 + x*i + q*i**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1245 + -1190. Calculate the greatest common factor of l and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 - -3. Let f be 3*s*2\/(-9). What is the tens digit of 44 + (2 - (-3 + f))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -43132530.999981 + 43132507. Let p = -24 - z. What is p rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13.9 - 13. Let n = 0.4 - t. Put -5, n, -1 in increasing order.\nAnswer: -5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -143*k - 43*k = 59*k - 245 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (7 - 15) + -11 - -20 - 34?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - k + 3 - 6, -2*r + 2*k = 0. Let g be (r\/3*4)\/(12\/(-54)). What is the highest common factor of 18 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = -5*j - 10, 5175*h + 5*j = 5171*h + 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 677*q + 1. Let r(k) = 1366*k + 2. Determine -3*r(p) + 5*u(p).\nAnswer: -713*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 7:55 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 - 9*p**2 + 6*p - 6. Let d(l) = -2*l**3 + 18*l**2 - 13*l + 13. Let n(w) = -3*d(w) - 5*f(w). Let o be n(8). Are o and -9\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30420 rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of 3\/4*d**2 - 32*d + 0 + 5\/16*d**3 - 3\/32*d**4 - 3\/32*d**5 - 1\/80*d**6. Find t such that m(t) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8 + -2 + -3 + -24. Let o = 26 + p. Suppose 3*t = 7 - 1. Solve t*u - 13 = -o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, -124, -271, -468, -709?\nAnswer: -988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + ((sqrt(39)\/sqrt(3)*6 - sqrt(13)) + sqrt(13) + (sqrt(130) + sqrt(130) + -3*sqrt(130) + sqrt(130))\/sqrt(10) - (-3*sqrt(13)*-3*-2 + 2)))**2 + 4.\nAnswer: -336*sqrt(13) + 7541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47.3 - 44. Let h = 76881\/4 + -19220. Which is the smallest value?  (a) z  (b) 0.2  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19494 divided by 2\nAnswer: -9747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*c - 11767 - 12751 = -35*c. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 3, -94813.\nAnswer: -94813, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4513510590 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 19*q + 1007. Let o be c(-53). Solve 4*u - a = 17, -u + a + 4 - 2 = o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26 - 15 + 59)*(2*i + 0 + 0)*(7 - 1 + 3 - 1 + 1 + 3 + (0 + 1 - 2)*(4 - 2 + 0)).\nAnswer: 360*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -3*c**2 - 3*c + 1. Let v(s) = -s**2 + 7*s + 19. Let d be v(9). Let h be k(d). Let z = h - -8. Solve -l = z, 3 = -4*x - 2*l + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23745, -47481, -71209, -94929, -118641, -142345, -166041?\nAnswer: -189729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in thirty-one fifths of a centimeter?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -310216*i*l + 11986*l + 3 wrt i.\nAnswer: -310216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 87, 205, 349, 519?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*v**4 - 8*v**3 - 1794822*v**2 + 27267455*v + 8 wrt v?\nAnswer: 36*v**2 - 48*v - 3589644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 + 42*b + 1. What is z(37)?\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23773.\nAnswer: 23773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(33\/55))\/((65\/(-15))\/13)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8157788*b**4*p + 2*b**3*p - 759*b*p + 4609 wrt b.\nAnswer: -97893456*b**2*p + 12*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**3 + 0*v**3 + v**3)*((2 + 14 - 4)*(1 - 1 + 2) + 2 - 4 + 6).\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 39, 58, 89, 132, 187, 254?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 3*i - 4. Let d(f) = -f**2 + 6*f + 6. Let z be d(6). What are the prime factors of n(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -17*q + 15. Let w(u) = -14*u + 13. Let o(a) = -2*s(a) + 3*w(a). Give o(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*s + 5*s - 4*s**2 + 6*s.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2\/3, -0.18, -4\/17, -81\/10, 2\/5, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 526390549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/18*2*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and 0.134?\nAnswer: -0.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 51, 103, 6 in increasing order.\nAnswer: 6, 51, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, -27, 1, -3.\nAnswer: -27, -5, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 228122507 is divided by 2530.\nAnswer: 2527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18 + 6 + 9 + n - 2*n**3 - 1 to d*n + z*n**2 + t*n**3 + j and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1220 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 333003 (base 4) to base 11.\nAnswer: 3039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1988\/1704*18\/(-14)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 3*d = -30. Suppose -5*j = -d*j + 115. Suppose -b - 5*i = -5*b + 12, -4*b = -3*i - 20. Calculate the remainder when j is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -3*n - 49. Let w be j(-27). Do w and 32 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r - 3. Let z be v(5). Suppose 15 = l - 3*j + 4*j, l = z*j + 12. Suppose 41 = 5*x - l. Solve 8*i + 3*h + x = 3*i, i + 4*h - 8 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (16 - 5480\/340) + (-3)\/((-102)\/(-166)). Sort 2, q, -12 in increasing order.\nAnswer: -12, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1471, 1479, 1485, 1483, 1467, 1431?\nAnswer: 1369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -576*h**2 + 2*h + 4. Let u be x(-2). Let t = u + 48373\/21. What is the common denominator of t and 11\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7372.283 centuries in millennia?\nAnswer: 737.2283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.3  (b) 6  (c) -1  (d) -1\/7  (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and -926.897.\nAnswer: 4634.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 3*h - 2*h + 810 = 0, 4*h - 4 = 0. Is 23 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 + 5*d**2 - 6*d + 13. Let j be w(-5). Suppose j = 3*h - 2*t - 947, -655 = -2*h + 3*t. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15150194 + 15749806. Round u to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 322168 = -23*g + 288632. What are the prime factors of g?\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 364, 11, -2 in descending order.\nAnswer: 364, 11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than or equal to -1\/179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 158941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14*b*f**3*l + 3*b*f**3 - 2*b*f**2 + f**3*l - 2*f**3 + 1711*f**2*l + 2*f**2 wrt f?\nAnswer: -84*b*l + 18*b + 6*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6298.000011724 - 6298. Round a to 7 decimal places.\nAnswer: 0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 26.134 centimeters?\nAnswer: 261340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 AM and 7:39 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10*(28 + 0 - (-2490059)\/(-88935)).\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28 and 2884?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 AM and 1:25 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 3*z + 28, -3*u = -2*z - 0*z - 32. Calculate the remainder when (3885\/28 - 5) + 2\/u is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3fe (base 16) to base 8\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c. Let x(g) = -g**2 - 1. Let l(d) = 9*d**2 - d + 11. Let k(q) = -2*l(q) - 22*x(q). Give -k(v) - 5*s(v).\nAnswer: -4*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/(-9))\/(4\/(-3)). Let h = 1.8 - -2.2. What is the third smallest value in h, 1, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/25, 2\/11, -9\/224, -2288 in ascending order.\nAnswer: -2288, -2\/25, -9\/224, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 49922352 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 3:35 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 + 24*p + 101. Let g(w) = 23*w + 104. Let u(f) = 4*b(f) - 5*g(f). Does 69 divide u(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**4 - 8695*y**3 - 34840*y**2 - 34860*y.\nAnswer: 5*y*(y - 1743)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2806164*t*u*z**2 + 662*t*u + 62*t*z**2 - 2*t*z - 11*u*z + 4291 wrt z?\nAnswer: 5612328*t*u + 124*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**2 + 15368*w + 14760964.\nAnswer: 4*(w + 1921)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-5)*(-30)\/36.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2\/3 - 425*x\/3 - 1248.\nAnswer: -(x + 9)*(x + 416)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -2\/7  (c) 435  (d) 0.05  (e) 5  (f) 0.06  (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the first derivative of -p**2\/2 - 584. Let s(y) = 475*y. Determine l(s(i)).\nAnswer: -475*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0, -4, 0.4, 2\/3, -9\/2, 5, 178?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1190613092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(10\/(-2)))\/(19\/((-133)\/(-14))).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 7669*c**3 - 7 + 2.\nAnswer: -7669*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(2\/((-24)\/(-5)))\/((-5)\/20).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 7}. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -3*n**2 + 5*n + 9 - 22*n + 22*n. Let x(a) = 2*a**2 - 2*a - 4. Let b = 12 - 17. Let y(s) = b*x(s) - 2*d(s). Differentiate y(k) with respect to k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -179 - -68. Let u = -36448 - -36336. Is n less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - (3 - 13) - 0) + -16 - (-2 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 836*p + 847*p + 1881*p.\nAnswer: 3564*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**3 + 10*d**2 - 94*d + 895. Let t be y(9). Solve -t = -66*i - 526 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.12 + 0.62. Let q = -0.59 + 0.49. Which is the closest to q?  (a) 3\/2  (b) 2  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.39*-3.\nAnswer: 1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -74, -1808, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - (6 + 33)) + -26 + 40?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 - (-4 - -3)) + 62*4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 AM and 5:55 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u**4 - u**3 + 10*u - 3 + u**3 + 6*u**3 + 6*u**2 - 18*u**2 = 0. What is u?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 - 4*u**2 + 4*u - 1. Let h be c(4). Suppose b + 4*t = -0 + 4, -3*t = -5*b - 26. Let k = h + b. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 9*i**4 + 4533*i**3 + 20889*i**2 - 34413*i + 8982 = 0.\nAnswer: -499, -6, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/17 and (1 - (-358)\/8)\/3.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*v**3 - 35*v**2 + 73625*v - 1351945 = 0. Calculate v.\nAnswer: -133, 19, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1180 is divided by 241?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -20*z**3 + 65*z + 8. Let t(h) = 56*h**3 - h**2 - 178*h - 22. Let y(u) = 11*b(u) + 4*t(u). Suppose i - 3 = -1. What is y(i)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of -38 + 19 - 56 - 9 + m**3. Let t(x) = 34*x**2. Give t(p(y)).\nAnswer: 306*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 + 3*l + 82. Let a(y) = -15*y**2. Give i(a(k)).\nAnswer: -225*k**4 - 45*k**2 + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -7*g**3 + 1001*g**2 - 6681*g + 2313. Determine i(136).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/h**6*h*h**1 assuming h is positive.\nAnswer: h**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-1*104\/(-39)*315\/(-280))\/((-2)\/40)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 569861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/(-42)*108\/48.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -155 or -157?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1015556 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z + 7. Let k(s) = -s**3 + 5*s**2 + 4*s - 2. Let c be k(3). Let n = -23 + c. What is the least common multiple of n and f(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -540550 (base 7) in base 4?\nAnswer: -112323133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(156)\/((sqrt(588) - (sqrt(588) + 3*sqrt(588))) + sqrt(588) - sqrt(588)) - (sqrt(26)\/(sqrt(288)*-4))**2).\nAnswer: -sqrt(13)\/21 - 13\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n**4\/7 + 3684*n**3 + 4514820*n**2\/7 + 2238064*n\/7 - 2250960\/7 = 0. What is n?\nAnswer: -166, -1, 1\/2, 3390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p and 1 c when four letters picked without replacement from {p: 5, c: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 2) + 17 + -19 - (-15 + 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (33 - 36)\/((-1)\/1). Solve -1 = g*o + o + 3*v, 3*v = -o + 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.4  (b) 3\/25  (c) 42  (d) 1\/2  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8*5711.79.\nAnswer: 45694.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 190813.44 microseconds?\nAnswer: 0.003180224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -182*a - 21*a - 94*a - 13*a as r + y*a and give y.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 2*b**3 - 3052*b**2 + 702690*b + 382213800 = 0.\nAnswer: -244, 885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/18 and 101\/7638.\nAnswer: 22914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5670, 5667, 5664, 5661?\nAnswer: 5658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9615 + -9615.4. Which is the third biggest value?  (a) l  (b) -8  (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90.96688 less than 35681956?\nAnswer: 35681865.03312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, n: 3, q: 1, h: 1, c: 1}. Give prob of sequence qhc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 21209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-112)\/1904*51)\/((-2)\/(-24)*-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2221121 (base 4) to base 6.\nAnswer: -122105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (80\/(-100))\/(2\/70). What is the remainder when 115 is divided by 3 - ((-150)\/(-200))\/(1\/f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5435 divided by 1912.\nAnswer: -5435\/1912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1894 - 1910.454. Let i = o - -16.5. Which is the smallest value?  (a) 4  (b) -2  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22304 + 181*w + 128*w - 44598 + 102*w + 22294.\nAnswer: 411*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = 3*j - 12, 2*k + 3*j = -k + 6. Let c(v) = -v**2 + 5*v. Let n be c(k). Suppose 0 = -3*w - 2*w + 20. What is the greatest common divisor of w and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 16\/7?  (a) -8291  (b) -1\/4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-4)*-2 - -17. Let o = 23 + g. Let i be (6 - 19)\/((-1)\/2). Calculate the greatest common divisor of o and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -3.3, 5, -4, 3\/7, 53, 164?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/44 + (-177)\/(-66).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.250142 years to months.\nAnswer: 3.001704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 166 = 5*o - 644, 3*f = -17*o + 500. Solve -c = f - 158 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (1 + 0)*(-9)\/63*7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25552559.\nAnswer: 379, 67421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3 and 4829.\nAnswer: 4832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 420 and 1050?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ahkh when four letters picked without replacement from ahhhhka.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -4*i. Let y(g) be the third derivative of g**4\/24 + 5*g**2. Give q(y(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -4*l**3\/3 + 12*l**2 + 64*l + 208\/3 = 0?\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -k - u, -3*k + 5*u - u = 11. Suppose f - 2 = 5*w + 28, -w - 4 = 0. Let s be 46\/f - 10\/(-25). Put -3, k, s in descending order.\nAnswer: s, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1245125244 (base 6) to base 15.\nAnswer: 147596a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-40 - 23 - 8)*(2*u**3 - 2*u**3 + 2*u**3).\nAnswer: -142*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 518?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 10) to base 14.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 + 2*i - 2. Give y(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*j**3 - 2*j**3 + 5*j**3 + j**3 - 7*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*b - 12*b + 2 = 2*r, 0 = r - b - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -124 - -194. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of k**3*o**2 + 31614795*k**3*x + 2747*k*o**2 + 3*k*o*x - 61*k - 12*o*x wrt k.\nAnswer: 6*k*o**2 + 189688770*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(2 + (sqrt(68) - (-3 + sqrt(68) + 0)) - (sqrt(68)*-2*-1 + 4 + (sqrt(68) - (sqrt(68) + -1))))*-5)**2 + 3.\nAnswer: 61203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23747\/198 - -1115\/9. Find the common denominator of -109\/42 and i.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14 + -13.02. Let r = z - -0.02. Let k = 1 - r. What is the closest to k in -4, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 7, t: 6}. Give prob of picking 1 j and 1 t.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2396, -2390, -2388, -2390, -2396, -2406?\nAnswer: -2420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/j**(-18)*j)\/j)\/j*j\/j**(1\/9))**16 assuming j is positive.\nAnswer: j**(2720\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6538441 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 + 3*x**2 + 7*x**2 + 20*x - 22 - 5*x**2 - 7*x**2 - 18*x**2. Let z be p(-21). Let o(q) = -4*q**3 - 2*q - 1. Calculate o(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = l + 4*p + 3, -3*p = 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -71*t + 650. Let n be w(9). Let d(z) = -z + 38. Give d(n).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 801712.\nAnswer: 2, 89, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 6, -3, -5, 3 in ascending order.\nAnswer: -5, -3, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7812  (b) -0.5  (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g**4\/8 - 25*g**3\/8 + 177*g**2\/8 - 283*g\/8 + 65\/4 = 0. Calculate g.\nAnswer: 1, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 78, 85, 112, 171, 274, 433?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -712661 (base 10) in base 14?\nAnswer: -147a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 + p**2 + 13*p - 7. Let n be x(4). What is the greatest common divisor of n and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.329 + 0.112. Let t = l - -0.117. Which is the biggest value?  (a) 4  (b) 8.9  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3130543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*z + 20*z = 252. Let c be z\/((-9)\/12*-2). What is the common denominator of -79\/40 and 36\/(-126) - (-1007)\/c?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*x**2 - 20*x**2 + 4*x**2 - 3*x**2.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*s - 7*s = s - 1198425. What is the ten thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, -2\/11, 3 in decreasing order.\nAnswer: 3, 2, 1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 662\/55 + -7\/11. Suppose -q + 9 = 4*l, 3*q + q = l + 19. What is the common denominator of y and (1\/5)\/(l\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1167 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 4544.\nAnswer: 4544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 2*f**2 + 15*f + 13. Determine s(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 3*m + 6 = 0, 2 = p - 2*m + 6. Suppose -4 + p = -l. Suppose 2*o = l*o. Which is smaller: o or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-80)\/(-28))\/((-2)\/(-7)). Let y = -9 + o. Let b be ((-84)\/(-20) + -2)*y. Is b > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*c - 68 = -3*x, -3*x - 11*c + 8*c = -7*c - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*i + 18 - 4 = -2*r, 5*i - 11*r + 6*r + 5 = 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*b**3*t - b**3 - 305*b*t + 2*b wrt b.\nAnswer: 24*b*t - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2142421042 (base 5) in base 14?\nAnswer: -89237c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 873272802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 34 + -32. Find the third derivative of 10*y**4 + 5*y**2 + 0*y**2 + 3*y**b - 5*y**4 wrt y.\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5687 or -5686?\nAnswer: -5687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 5*q - 4. Let h = q + 6. Suppose -34408 - 55841 = -1335*d + 12546. Calculate the greatest common factor of h and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = -a. Let k be a + -3 + 24\/8. Solve 4*y - 2*y - 8 = k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5395*q**3 - 764138 + 764138 + (-2 + 4 + 0)*(-1 + 1 - q**3).\nAnswer: -5397*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, -314, 4, -42, -7 in decreasing order.\nAnswer: 4, 2, 1, -7, -42, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 - 7. Suppose y = 62*x - 63*x + 6, 5*x + 4*y = 24. Let l = -0.9 - -0.8. Which is the nearest to l?  (a) x  (b) n  (c) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118229 is divided by 946.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 415 + -96. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(5))*-2 - (2*sqrt(40)\/sqrt(8))**2) + 2 - ((1 + sqrt(15)\/sqrt(3) - (sqrt(20)\/sqrt(4) + sqrt(5))*-1) + -5 + -1)**2.\nAnswer: -94 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -5*p**2 + 32*p - 4. What is s(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 186\/434 - (122\/42 - 2)\/(663\/765)\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-19) - 1974\/(-1786)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00085778595 to 5 dps.\nAnswer: -0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -2) + -9 + -1 + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + -3 + (4 - 1). Suppose 5*m + 0*m = 0. Suppose -5*t + 2 = -4*t. Solve -h + n = m, 4*l - 5*h = -1 - t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4532.\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 93 + -103?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33466 (base 11) to base 3.\nAnswer: -2110111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/286 and -123\/130?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 90936611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -36*d**3 - d - 1. Determine q(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -181*u + 7. Let p be s(-7). Suppose 4*a - p = -3*x - 0*x, -x = -a + 315. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*g**2 + 3*g**2 + 2*g**2 - 67*g**3 + 63*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 19*g**2 - 8*g + 3. Let x be y(3). Calculate the highest common factor of x and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 14, -29 in descending order.\nAnswer: 14, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = r + 64. Suppose -b - r = -3*w + 12, 3*w - 13 = 4*b. Suppose w = 4*g - 5. Solve -g*h = -7*h + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 201*p**3 + p**2 - 13*p + 11. Let t be n(1). Solve -197*x + t*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, j: 5, g: 1, f: 1, y: 1, x: 3}. What is prob of picking 1 j and 1 x?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 + -9. Let h(p) = p**2 + 4*p - 3. Let v be h(c). Suppose v*f = 5*f - 42. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ycqyyiqcccybciqy. Give prob of sequence biiq.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(330)*2)\/sqrt(6) - sqrt(220)*-3)\/(-1*3*sqrt(539)).\nAnswer: 16*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 - 8*t**2 + t - 5. Let f be x(8). Suppose f*b = 2*b + 5. Suppose 0 = b*k + k - 456. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the second derivative of 7*u**5\/20 - 13*u**3 - 16*u**2 - 44*u + 1. Let c(r) be the first derivative of q(r). Differentiate c(t) wrt t.\nAnswer: 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 117485244?\nAnswer: 2, 3, 229, 14251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1001*u**2 - 540*u**2 - 414*u**2.\nAnswer: 47*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/1263  (b) 1  (c) 3  (d) -0.4  (e) -4  (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3609 is divided by 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 82 - 12*b**2 + 2*b**4 + 4*b**3 + 61 - 2*b + 14*b**2 - 128 in the form v*b**4 + n*b**3 + x*b + o + r*b**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -4*r**3 + 3*r**2 + 3*r + 3. Let a(s) = -5*s**3 + 4*s**2 + 4*s + 4. Let y = 10 + -10. Let t = -3 + y. Calculate t*a(w) + 4*p(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -111610, -222619, -333608, -444571, -555502, -666395, -777244?\nAnswer: -888043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, -4\/7, -1\/3, -0.5, 114753, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 24205700 rounded to the nearest ten thousand?\nAnswer: 24210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 51 + 11. Let i be (3\/4)\/(s\/80). Solve i*m + w + 6 = 23, 3*w - 19 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 995 is divided by (10*(-3390)\/(-600))\/(2\/4)?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*g + 55*g - 20 = 0. Suppose 149 - g = -3*m. Let u = -23 - m. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*t**4 - 14110861*t**3 + 123215312*t**2 wrt t?\nAnswer: -96*t - 84665166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -23*p - 19040 + 19040. Let y(m) be the first derivative of -2*m**3\/3 - 1. What is i(y(w))?\nAnswer: 46*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 2*r + 7. Suppose 5*u + 70 = 10*u - 5*h, -u - 5*h = 4. Let n(g) = -g - 4. Determine u*n(p) + 6*j(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 232683 (base 16) to base 8.\nAnswer: 10623203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10672 + 16464. Calculate the remainder when g is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1697423 is divided by 1086.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(2\/25)*s**16)**3 assuming s is positive.\nAnswer: s**(1206\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24057 and 81741?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and 37.\nAnswer: 14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*s**5 - 576*s**4 - 3*s**3 + 92507*s**2 wrt s?\nAnswer: 480*s**2 - 13824*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/10 - 7088\/70. Let n = -102 - p. Which is smaller: n or 1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c\/(c*c**0)*c)\/c**(-9))\/(c*(c*c**(-8))\/c*c*c**(2\/25)) assuming c is positive.\nAnswer: c**(423\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 168803826 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1320 and 59895.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 4 - -5) + -23 + 7 + -1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {p: 17, x: 3}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 817666317\/4 less than or equal to 204416580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 3*h + 4*t, -4*t + t = -4*h + 69. Solve 4*n - p = 2 + h, 2*n + 5*p - 3 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -31 - -10. Let f = g + 11. What is the units digit of f*(3 + (-57)\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8, -14, -58, -130, -236?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*w**3 - 25 - 16*w**3 + 15*w**3 in the form r*w**3 + j*w + d + n*w**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.979 + 0.081. Let d = q - 0.06. Which is the nearest to -0.1?  (a) -0.2  (b) -2  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8554558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32964?\nAnswer: 2, 3, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/(972\/(-45))*-3.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1818 divided by 25?\nAnswer: -1818\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 16\/5 + 2\/(-10). Suppose -2*d + 3*d - 23 = 0. Let f = d + -17. Solve f*p = y*p - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 385268178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 4:30 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -118 - -129. What is the lowest common multiple of 58 and s?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-34)\/6 + 4\/6. Let o(i) = -i**2 - 14*i + 10. What is the units digit of o(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10100022011 (base 3) in base 9?\nAnswer: 110264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.9 * -53.13.\nAnswer: -100.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - 0) + -26 + 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 25*u**2 + 3*u + 1. Let y(h) = -h**2 + h - 3. Let c(v) = w(v) + 2*y(v). Let b(i) = -24*i**2 - 6*i + 6. Give 5*b(d) + 6*c(d).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1785 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 26186 times -16899?\nAnswer: -442517214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o - 2 + 1 - 3*o)*(-99 - 120 + 48).\nAnswer: 171*o + 171","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 23ddcd (base 14) in base 9?\nAnswer: 2273245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 - 8*a**2 + 6*a + 9. Let i be t(7). Let u = 46 + -136\/3. Factor -1\/3 + w - u*w**i.\nAnswer: -(w - 1)*(2*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 496 and 372?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 317349726?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 90\/(-12)*6\/(-9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 183, 188, 193?\n\"Answer: 5*v + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z + 9. Let d be h(-6). Let x be ((-39)\/(-12) - d)*12. Solve i + x + 1 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*v + 86 = -154. Let t(f) = -2 - f - 3*f + 1. Let m(k) = -2*k. Determine v*m(d) - 2*t(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3291539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001697 rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3807818 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 3*u = -0*c - 41, 5*c = 5*u - 105. Calculate the remainder when 4\/c + 2424\/39 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 92234 and 4310.\nAnswer: 461170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 75450664?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of 0*w + 0*w**4 + 0 - 17\/6*w**3 + w**2 - 1\/3*w**5. What is the derivative of i(m) wrt m?\nAnswer: -40*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/22 - (-24)\/(-11). Let p be a*(21\/(-6))\/1. Let y = p + -2. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-25*a**2 + 27*a**2 - 81*a**2)*((-3*a + a + 0*a)*(4 + 8 - 4) - 4 - a + 4) as c*a**2 + b*a + y + x*a**3 and give x.\nAnswer: 1343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 402, 403, 402, 399, 394, 387, 378?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -171*0.171.\nAnswer: -29.241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -44 + 31 + -7 + 57\/(-3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3465)\/770*(-8)\/(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 7*g**2 + 27*g - 3. What is the tens digit of f(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1889038 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 76\/7*g + 52\/7 + 23\/7*g**2 - 1\/7*g**3.\nAnswer: -(g - 26)*(g + 1)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14 - 9. Suppose -z - m*i + 9 = -3*i, 2*i + 27 = 3*z. What is the remainder when 25 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 v when three letters picked without replacement from nnnnnvnnvmmnmvnvmkmn?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -0.030383736.\nAnswer: -3.030383736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 31 - 24c?\nAnswer: -21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 48 divided by -16\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 19424 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -3*h + 6*h. Let q = -12 - h. Is 2 a factor of 2\/((-4)\/q)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*n - 15 = -3*s + 25*n, -2 = -s - 2*n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 + 11 - (3 + -2 + 3). Solve 0*x - 20 = -2*x + 4*w, k*x - 3*w = 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Suppose 38*b = -2065 + 17263 + 85958. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96975*z**3\/2 - 9309603*z**2\/2 - 111715344*z - 3456 = 0. Calculate z.\nAnswer: -48, -1\/32325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1685493?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(24\/(-9)))\/((-12)\/176*2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 209\/1268400 and 41\/3920?\nAnswer: 8878800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-25 - -16)\/((-45)\/10). What is the smallest value in -2, m, -3.21?\nAnswer: -3.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x + 1222 = 1090. What is the remainder when 771 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 - 90*f**2 + 1300*f - 53. What is p(18)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of s**6\/135 - 4*s**5\/45 - 7*s**4\/54 + 62*s**3\/27 - 16*s**2\/3 + 3723*s. Determine h so that a(h) = 0.\nAnswer: -3, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 - -6. Let d(s) = s**3 + s**2 - s. Let p be d(g). Suppose -3*f + 31 = -4*q, 3*f + 4*q + q - 22 = p. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of p**5 - 8330*p**3 + 2*p**2 + 3*p + 39433?\nAnswer: 60*p**2 - 49980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -491 - 4?\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2681\/(-49) - 2\/7. Let k = 53 + u. Which is the third biggest value?  (a) -0.4  (b) k  (c) 2\/3  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ps when two letters picked without replacement from gpsks?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1882*j**3 + 2 + 1 - 3.\nAnswer: -1882*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -9*y - 22. Suppose -n = 5 - 2. Calculate the remainder when 49 is divided by k(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 times 275?\nAnswer: -5225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2194 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 885 and 2065?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 302, 2009, 6598, 15497, 30134, 51937, 82334, 122753?\n\"Answer: 238*z**3 + 13*z**2 + 2*z + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 35828 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*u + 48 = 11*u. Factor 0 - 1\/3*t**u + 0*t.\nAnswer: -t**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -36 + 75. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94575 is divided by 368?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1001110110101 (base 2) to base 12.\nAnswer: 2b05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1122537 divided by -374179\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3447*j*q**3 + 5*j*q + 501*j wrt q.\nAnswer: -20682*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 13*c**2 + 3 - 4 to t + w*c**2 + x*c and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 + 39*i**2 + 212*i - 7380. Give j(39).\nAnswer: 888","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n\/n**(1\/11)*n**(1\/4)*n\/n**(-4\/5)*n**(-8) assuming n is positive.\nAnswer: n**(-889\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -g**3 + 1383037*g**2 + 17979664*g - 19362700 = 0. What is g?\nAnswer: -14, 1, 1383050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5, -1, -4, 1 in decreasing order.\nAnswer: 1, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.117  (b) 3\/2  (c) -304  (d) -0.1  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -16*m**3 + 19*m**2 + 53*m - 1. Is v(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 129 + -73. Let w = i - 34. Let k = w - 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -4, -2, -1, 6 in decreasing order.\nAnswer: 8, 6, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29 - 29.065. What is m rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 5\/4366?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - -1) + (0 - 1). Let a = -272\/9 - -3028\/99. Is d less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.008*-9.2.\nAnswer: -0.0736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*w - 26*w = 24. Let z = -12 + 11. Let q be (0 - z)*((3 - -11) + 6). Calculate the greatest common factor of w and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5376 is divided by 322.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 340, 0, 95.\nAnswer: -7, 0, 95, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3580298 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 + b - 5. Let j be r(0). What is the tens digit of (-151*(-2)\/j)\/((-2)\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.2287 + -3.7713. What is the closest to b in 1\/3, -0.1, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 5  (b) -0.1  (c) 0.2  (d) -57  (e) -5  (f) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 3, 5, 4, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*4*1\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1481, -8, 7 in decreasing order.\nAnswer: 7, -8, -1481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 + 3*d + 6. Let m be z(-5). Suppose -66*v + 20 = -67*v. Let t be 2\/(-15) - m\/v. What is the third smallest value in 0.5, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(7) + 2) - (sqrt(7) - (sqrt(7) + sqrt(7) + 0 + sqrt(14)\/sqrt(2))))*3 - (-4 + (sqrt(700) + 1 + sqrt(700) + 1 - -6*sqrt(700)*1)**2).\nAnswer: -44818 - 323*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1194 divided by -15\nAnswer: 398\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 4*v - 125633 = 0, -1626 - 23512 = -h - 3*v. What are the prime factors of h?\nAnswer: 13, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/4406715 and 23.\nAnswer: 4406715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zpzcgzggbpbggzg. What is prob of picking 1 c, 1 z, 1 b, and 1 g?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 10 = 2. Suppose 4*n + 12 + d = 0. Let y be 45\/(-84) - n\/14. Which is bigger: y or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 + c**2 + 13*c + 71. What is the tens digit of h(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -665 or -193?\nAnswer: -665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/2898*-6*(-7)\/2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 320961 and 249.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 22213491 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*d + 0*d + 6*d**2 + (2*d**2 - 2*d**2 - d**2)*(3 + 1 - 6) + 3*d**2 + 0*d**2 - 4*d**2 + 2*d**2 + 2*d**2 + 0*d**2 - 3*d**2 - 4*d**2 + 3*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 + 3*f + 4. Give y(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1680 and 5029374.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -21 + 28. Suppose 0 = q - c*q + 6. Suppose 3*n = 11 + q. Let b(l) = l**3 - 4*l**2 - 4*l + 5. What is b(n)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 3*g**2 + 7. Let a(n) be the second derivative of -n**4\/4 - 3*n**2 + n. Let z be (1 - 3)*(-3*12\/9 + 2). What is z*f(v) + 5*a(v)?\nAnswer: -3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 7, -0.2, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*y + 10*y - d - 16, -3*y - 3*d - 30 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 + 10*l + 9. Suppose -12 = -3*p + p. Let g be t(p). What is the highest common factor of g and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - 1. Let q be (-2)\/4*t - -1. Let s = 9 - 12. Sort q, s, -1 in ascending order.\nAnswer: s, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 23892.9mm?\nAnswer: 23.8929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 7. Suppose -15 = -b + 3*g + 13, b + 3*g = -y. Calculate the remainder when 36 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = -3*v + 4*y + 28, v - 5*y - 24 = 0. Let m(l) = -4 - 5 + v*l + 4*l + 1. Let h be m(6). Calculate the greatest common factor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 19\/5 + 1\/5. Suppose 3*b + 0*b + 15 = x, 3*x - 4*b = 30. What is the greatest common divisor of s and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -517 - -17063\/33. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4054034?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 17*2*(-4)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 185.6 + -168. Let n = -0.065 - -2.765. Let v = n - z. Round v to 0 decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 4*o + 13 = -1, -b - o = 3. Which is bigger: b or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.24 times -469?\nAnswer: -2926.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 - 3*c**2 - 4*c - 1. What is the remainder when 2\/((-4)\/(-31))*2 is divided by o(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i + 3*i + 0*i)*(-2413*i - 1565020 + 1565020).\nAnswer: -4826*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -145 and -145 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/1938 and -149\/18?\nAnswer: 5814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*h + 6*h - 4*h - 3*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(112) + (sqrt(112) - (sqrt(112) - sqrt(112)*-1) - sqrt(112) - sqrt(112) - sqrt(112)) - sqrt(112))\/sqrt(4))\/((sqrt(16)*-1)\/sqrt(4)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 67455169885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4309.04 + -4309. Let a be 1\/(-4) + 38\/56. Let i = 85 - 85. What is the closest to n in a, -3\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 - -1 - 3 - -6. Suppose -2*b + 279 = -o*h, 2*b - h = 6*b - 537. Calculate the highest common factor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*m**3 - 1777824 + 1777824 - 4*m**2.\nAnswer: 3*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)*1*2)\/(sqrt(11) - sqrt(352)\/sqrt(2)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**3 + 15*q**2 + 2*q + 10. Let h be ((-18)\/8)\/(3 - 21\/8). Let w be k(h). Let l = 156 + w. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of -v**4\/12 + v**2\/2 - 56*v + 24. Let k(m) be the first derivative of o(m). Let j(l) = 3*l**2 - 6. What is j(u) + 4*k(u)?\nAnswer: -u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 402 = 6*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 times -4080\nAnswer: -8160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-u**3 + 4*u**3 + 6*u**3)*(-2 - 1 + 2)*(-22 - 16 + 14) as n*u + m*u**2 + x + r*u**3 and give r.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/2*1)\/((-2534)\/157108).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n + 12. Let q(a) = -2*a + 25. What is -4*q(v) + 7*x(v)?\nAnswer: v - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/20)\/((-24)\/(-4))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 58, 195, 460, 895, 1542?\nAnswer: 2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000265899 to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*v + 570 = -103*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.031 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 86 or 33?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of 24\/5*v**5 + 0 - 2\/3*v**3 - 2*v**4 - 23*v + 0*v**2 + 6\/7*v**7 - 52\/15*v**6. Let d(c) = 0. Calculate c.\nAnswer: -1\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (17 - 14)\/(9\/(-6)). Let g(x) be the third derivative of -x**6\/60 + x**4\/24 + x**3\/3 + 10*x**2. What is g(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 22736, -5, 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 + (-3*60)\/(-5). What is the highest common divisor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) 72  (c) -4  (d) 297\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10\/(-15)*999\/117. Is f equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -58 - -58. Let h(m) = -4*m - 3 + 3*m + r*m + 43. Let i(s) = -8. Let p(x) = 2*h(x) + 11*i(x). Calculate p(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 7*c = -18. Let q = c + 22. What is the highest common factor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51 - 87 = 18*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, -30 in ascending order.\nAnswer: -30, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 71 + 17 = 0. Suppose 4*z = -12, x - 5*x - 4*z - 112 = 0. Let y = x + p. What is the remainder when y is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 5*m + 5 + 52, -5*o + 3*m + 81 = 0. Let w = 246 - 378. Let x be (-1 + 4)*w\/(-2). What is the greatest common divisor of x and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6512694 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1584)*2)**2 - 1*sqrt(11)*2.\nAnswer: -2*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44, 32, 0, -64, -172, -336, -568, -880?\nAnswer: -1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 + 6*v - 14. Let f be z(3). Let j be 1\/(-2) + 109\/(-2). Let a = 36 - j. What is the highest common factor of f and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of -1\/12*g**4 + 0*g - 7\/6*g**3 - 3*g**2 + 0. Let s(x) = 4*x + 13. Determine -11*n(a) - 6*s(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 16) to base 15\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {u: 2, v: 7, x: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2621165541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*k**3\/7 - 429*k**2\/7 - 366*k\/7 + 8520\/7 = 0. What is k?\nAnswer: -142, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 93\/170518 and 93\/4.\nAnswer: 341036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 6, 2, -238?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4 - 3910\/855) + 4\/18. Let p = s - 233\/798. Let u = p + 3\/70. What is the biggest value in u, -0.1, -3\/8, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 + 119 = 5*h. Let u = 39 - h. Let f be u\/75 - 419998\/(-15). Round f to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -518, -986, -1264, -1172, -530?\n\"Answer: 30*p**3 - 85*p**2 - 423*p - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(33)\/(-4*sqrt(11)) + (sqrt(3) - (sqrt(147) - -1*sqrt(147))))*2)**2.\nAnswer: 8427\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:49 PM and 2:06 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 4*k**3 + 5*k**2 + 6*k + 6. Let a(d) = d**3 + d**2 + d + 1. Let l(g) = 6*a(g) - y(g). Give l(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (433 - 86*n - 433)*(7 - 3 - 5).\nAnswer: 86*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/(j**(-1\/14)\/j*j)*j*(j\/(j\/(j**21*j*j)*j))\/j*((((j*(j**(-14)\/j)\/j)\/j)\/j)\/j)**(1\/31) assuming j is positive.\nAnswer: j**(9761\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 166844566*i*u + 1251*i - 10028 wrt u?\nAnswer: 166844566*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 - 4*v - 3. Let x = -19 + 22. Suppose x*k + 4 = k. What is s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -27*i + 249. Suppose -10*a + 78109 = i*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 26 - 21. Which is the smallest value?  (a) x  (b) 4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n**4 + 190*n**3 + 8520*n**2 + 16450*n + 8125 = 0.\nAnswer: -25, -1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -2*j**2 - 496*j + 498 = 0?\nAnswer: -249, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 0 + 7176*h**2 - 6660*h**2 in the form q*h + c*h**2 + a and give c.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 149253798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 4*c**5 + 28*c**4 + 40*c**3 = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (36\/1914)\/(((-51)\/(-561))\/(((-2)\/2)\/(-1))).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p + 6. Let f be b(-10). Let o(q) = -q**3 - 2*q**2 - q - 24. Let d be o(f). Let u be (-77400004)\/3 + d\/9. Round u to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/1 - -2 - -11. Let t(r) = -6*r**2 - 13 + 5*r**2 - 7*r + 2*r**2. List the prime factors of t(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22541731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -6590, -6506, -6366, -6170, -5918, -5610?\n\"Answer: 28*h**2 - 6618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -2\/3, -2\/9, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 4*l + 4*l - 20*l - 10*l - 24*l + 3*l.\nAnswer: -43*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 24 + -6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1178*o - 1181*o = -k - 2, -5*o - k = -14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 81*k - 565. Determine q(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*g - 4*g + 7*g - 12134*j + 12139*j + 210, 16*g + 40 = -3*j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 - 14. Let o(n) = -15*n**2 + 5*n**2 + 8*n**2 + 6*n**2. Give o(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1*6*1\/2. Let v = 11 - 8. Suppose -j = v*i - 21, 4*j - 3*i = -0*i + 39. What is the greatest common factor of j and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*z + 231 = 7*z. Suppose 3*h - 84 = -z*h. Sort -3, h, 3 in descending order.\nAnswer: h, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 595327 = -5*l, -5*q + 893*l + 992225 = 888*l. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -4*t**2 + 7. Let r(f) be the second derivative of f**4\/12 - f**2 - 87*f. Let g(k) = 4*p(k) + 14*r(k). Let n(j) = -21*j**2. Calculate g(n(c)).\nAnswer: -882*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oyo when three letters picked without replacement from oyymymyoooonoooooon.\nAnswer: 220\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 5844424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 28 = -0*c + 3*o, 0 = -2*c + 4*o - 86. Let y = 45 + -71. Calculate the common denominator of y and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.226537 kilograms to tonnes.\nAnswer: 0.007226537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 1257*t**2 + 2*t - 3*t + 3*t - 618*t**2.\nAnswer: -1875*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -277, 4597, -0.4, 0.2, 2 in descending order.\nAnswer: 4597, 4, 2, 0.2, -0.4, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2121 and 198807.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1050915, -1051157, -1051399, -1051641, -1051883?\nAnswer: -1052125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.99 - 1.99. Let l = -3.035 - -0.035. What is the nearest to 1\/3 in 0.4, l, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 56 = 2*y, -y - 2*l = -3*y + 58. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -266, -250, -230, -206, -178?\n\"Answer: 2*b**2 + 10*b - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20710 and 9215?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, r: 13, g: 2}. What is prob of sequence rr?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 58, 76, 120, 202, 334, 528?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9146*o**2 - 36615*o**2 + 9146*o**2 + 9188*o**2 + 9137*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95 = -32*u - 97 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 4\/7, -11\/3, 6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6686 - 13364 - g**2 - 5845*g + 6678 to q + t*g**2 + x*g and give x.\nAnswer: -5845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2002212 (base 4) to base 8.\nAnswer: -20246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8002935 is divided by 85.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28 - 29. Let d be (3\/24*4)\/(j\/(-4)). Is 0.09 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from ddwdddwdddddwd?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4744652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) -2  (c) -11294  (d) 4  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/9?  (a) -1  (b) 2  (c) -18669\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 61626 + -61624. Factor 50*l - 250 - 5\/2*l**x.\nAnswer: -5*(l - 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 489 + -8?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from {m: 3, u: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -971\/10 - -94. Suppose 8 = 4*i - 8. What is the common denominator of 2\/i - 2277\/(-1056) and m?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*y**5 + 1346*y**4 - 2*y**3 - 77*y**2 - 118*y - 1?\nAnswer: -420*y**2 + 32304*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/((z*z*z**(-2\/5))\/z)*z*z*z)**(2\/25)*z*z*z*z*z**(-6)*z\/((z*z**5\/z)\/z) assuming z is positive.\nAnswer: z**(-581\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136)\/(sqrt(8)\/sqrt(2)))\/((sqrt(24)*-2)\/sqrt(12)) + (sqrt(204) - -1*sqrt(204)*1)\/(sqrt(24)\/sqrt(2)*5).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + 17 + (-10 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -0.2, 0.019, 26\/23 in descending order.\nAnswer: 26\/23, 0.019, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -347*v + 221*v + 34100 = 649*v for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l = -12*l + 12. Let n be (-2)\/(0 + l\/(-4)). Solve 0 = n*d - 20, 0 = -4*b + d - 10 - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 3 = -4*x, -2*d = -4*x - 7*d + 5. Suppose -17*w = -1333274 + 1333240. Solve p + p + w = x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1111101010000 - -1010001?\nAnswer: -1111011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 68358894 and 4.\nAnswer: 136717788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of -s**4\/4 - 11*s**3\/3 + 13*s**2\/2 + 20*s + 6519. Give d(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1800 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1.0899 and 97.35?\nAnswer: 98.4399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*z**2 - 45 + z + 49 - z to v*z**2 + x*z + s and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*d + 195 = -4*a, 5*d - 9*a + 11*a - 6 = 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 23209*c + 898. Is z(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2204 divided by 1?\nAnswer: -2204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1863 = -100*p + 17*p + 5183 - 2158 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -6*h + 17 + 4. Let l(x) = -x**2 + 4*x + 1. Let f be l(3). Solve -f = o - h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 33742*q - 33756*q. Put q, -576, 4 in descending order.\nAnswer: 4, q, -576","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 144*g**3*n**3 + g**3 - n**2 + 30 wrt n?\nAnswer: 864*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 582*o**2 + 38. Let p(j) = 2*j**2. Give s(p(f)).\nAnswer: 2328*f**4 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 36567748 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssnsyyssscysnsc. Give prob of picking 1 y, 1 s, 1 n, and 1 c.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 3*g - 9 = 0, -i - 3*g + 1 - 4 = 0. Let m = -7 + 2. Which is the closest to 2\/3?  (a) i  (b) 5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 41*q**2 + 2*q + 1. Determine d(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 212\/(-15) + (-5 - 77\/(-15)). Let i = -13 - l. Let m be 3\/(-1) + 275\/66. Is i at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-u**3 + 3*u**3 - 3*u**3)*(u - u - 2*u)*(3 - 3 + 1)*(1 + 1 + 1) to the form q + o*u**4 + f*u**2 + b*u + w*u**3 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1467*c + 246945 = 1535*c - 242655. Is c a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 2005348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(1\/6))**7*c\/c**(-1\/4)*c**(-9))**(-21) assuming c is positive.\nAnswer: c**(553\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 15 = -5*h, -24*h = -23*h + 2*n. Suppose 400 = h*a + 10*a. Solve 6*o = -1 + a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 246*t**2 - 2*t + 243 wrt t?\nAnswer: 492*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 4, g: 9, o: 6}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 - -17. Suppose 0 = -10*h + 204 - g. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/(-3) - 81\/3. Let r = -12 - c. Let s = -8 + r. Calculate the remainder when 27 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 258.5026 plus -0.3?\nAnswer: 258.2026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 16190 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: In base 7, what is 13 + 52?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 PM and 10:21 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, f: 4, y: 4}. Give prob of sequence ffyf.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -238 - -240. Find the second derivative of 9446*i**p - 9446*i**2 + 4*i - 14 - 21*i**3 - 1 wrt i.\nAnswer: -126*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21.037+-0.4\nAnswer: -21.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112) + 3)**2 + 4 + sqrt(112).\nAnswer: 28*sqrt(7) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1.27  (b) 0.03  (c) -2\/13  (d) 4  (e) 2  (f) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.3  (b) 8  (c) -4  (d) 3\/2  (e) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 3*a**2 - a + 1. Let s be t(1). Let y(v) = -20 + 21 + 13*v**3 + s*v - 2*v**2 - 3*v. Calculate the least common multiple of 2 and y(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 175385356 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -2*x**2. Let n(m) = 26223*m**2. Determine n(t(w)).\nAnswer: 104892*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 812122 is divided by 423.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*c + 17*c = -5*c. Solve -2*v - 4 = -2*x, c = -2*x - v + 4 - 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-14))\/((72\/24)\/(-3)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.26 - -0.84. Let p = y + -1.091. Round p to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2*t**2 + 8*t + 4. Does 14 divide u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 - 11*y + 2. Let d be h(11). Let v(w) = w**3 - 2*w**2 + 2*w - 1. Let a be v(1). Let o(c) = a - 3 + d*c**2 + 3. Let p(u) = 14*u. What is o(p(t))?\nAnswer: 392*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 8807037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 648*r + 1276. What are the prime factors of z(14)?\nAnswer: 2, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1211499 + 1211499 - 627*r to j*r + d and give j.\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-13970)\/(-9779))\/(50\/238)?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 3*u**3 - 14*u**2 + 11*u + 4. Let d(p) = -4*p**3 + 15*p**2 - 11*p - 4. Let t(c) = -2*d(c) - 3*j(c). Let k = -129 - -140. What is t(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 17*l + 49. Let b be g(-3). Let z(r) = 8*r**3 - 3*r + 3. Let q(k) = 7*k**3 - 2*k + 2. Calculate b*z(a) + 3*q(a).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 939078?\nAnswer: 2, 3, 7, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 5*k - 7 = 0, 4*d + k - 5 - 6 = 0. Put d, -5, -1 in ascending order.\nAnswer: -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 2*h + 13 = 3*y, 12 = 3*y - 3*h. Suppose -2*n = 3*r - 13, -r = y*n - 0*r - 9. Sort -1, n, 5.\nAnswer: -1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-279)\/(-4) - 1\/(-4). Suppose 10 + k = -5*g. Let m = g + 27. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of c**3\/3 - 22*c. Calculate j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -35*f**2 - 14*f - 2. Let k(i) = 11*i**2 + 5*i. Let b(h) = -16*k(h) - 5*u(h). Suppose -4*v + 2*v - 20 = 0. Give b(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.5*2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:53 PM and 3:42 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = r + 2*r. Suppose -o + r = -3. Suppose 4*x - 1 = 11. What is the remainder when o is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2150 + 551 = -123*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 - 8*s**2 + 4*s - 6. Let v be m(4). Let c be 12\/v + 32\/(-18). Suppose -86*r + 84*r = 4*x + 20, -5*r + 15 = -3*x. Is r greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 470 and 47.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 - v - 1. Suppose 0 = w - 2*n - 2 + 7, 4*w + 3*n = 24. Let k(x) = -1 - 4*x + 3 + x**2 - 7 + w. Suppose 10 - 4 = 6*y. Determine y*k(r) - 2*b(r).\nAnswer: -r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 11 = 5*v - 29, -2*c - 2*v + 10 = 0. Let d be -4 - (38\/(-9))\/c. Sort 5, 48, 3, d in decreasing order.\nAnswer: 48, 5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 459871 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes before 6:47 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.01, -0.2, 2, 97, -1\/4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 3 k when four letters picked without replacement from {k: 4, e: 2, z: 8}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express p + p**3 - 28*p + 26*p - p**2 + 18*p**4 in the form x + f*p**4 + o*p**2 + j*p + w*p**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.7458 - -0.2458. Which is the nearest to p?  (a) 0.9  (b) 8\/5  (c) -4\/3  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/7*49\/42?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o - 40 = -2*o. Differentiate 9 + 5 - 3 + 8*f**o wrt f.\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2229522665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 965 + 44291 = 0. Suppose 0 = 26*v - 17*v - u. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 2, -3, 0, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 12:11 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.64088 + 0.63. Let l = 0.01 + i. Round l to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70.073 plus 0.7?\nAnswer: 70.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -13. Suppose -r + 5*m = 2*m + z, 0 = 4*r - 4*m + 4. Suppose -r*w - 5*o = -4*o - 46, 4*w = -5*o + 38. What is the remainder when 57 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:10 AM and 5:42 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -362 (base 8) in base 9?\nAnswer: -288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 130 and 487990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**2 + 4*p + 1. Let s be j(3). Let t = 2\/133 + -139\/399. Which is the nearest to t?  (a) 0.4  (b) 0.1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of k**5\/30 + 11*k**4\/12 + 14*k**3\/3 + 32*k**2. Differentiate p(h) wrt h.\nAnswer: 4*h + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -31*i - 327. Give c(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*r**3 - 72046348*r**2 + 228219461.\nAnswer: 6*r**2 - 144092696*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 7:22 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-4\/5)\/((s\/s**16)\/s)*s**(9\/4)*s\/(s*s\/s**(2\/3)*s) assuming s is positive.\nAnswer: s**(967\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 22.77296 litres?\nAnswer: 22772.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 87373999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 1372679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 233 + -178.5. Let p = -55 + q. Sort p, -2\/5, -7 in decreasing order.\nAnswer: -2\/5, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -82 - -103. Let d(n) be the first derivative of -4 - 38*n**2 - 7*n + 48*n**2 - c*n. Differentiate d(m) wrt m.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6 - 6\/(0 + 2). Suppose -i*u = 11 - 86. Solve 5*g + u = -0*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.03402 millennia to centuries.\nAnswer: 70.3402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1 + 0.2. Let b be (12\/(-32))\/((-18)\/40). Let k be 31\/11 - 14\/(-77). What is the nearest to l in b, -2, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 29936 + -29923. Which is the closest to 0.1?  (a) 2\/9  (b) n  (c) -0.33  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -5, -6, -19, -50, -105?\n\"Answer: -n**3 + 6*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccczrzjziju. What is prob of picking 2 z and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1422515 + 4?\nAnswer: -1422511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1355*y - 1 + 1 + 5983314*y**2 - 5984622*y**2 wrt y?\nAnswer: -2616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 - -24 - (-1 + 17 - 1) - -29.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 - 60*a - 817. Calculate j(-38).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the first derivative of -b**3\/3 + b**2 + 3*b + 7. Let n(t) = t**2 - t - 1. Determine 3*n(o) + x(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*f + 33004 = -9*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 916.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 823426 is divided by 178?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - (-34)\/8) + (-1)\/1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/924 and 83\/23685354?\nAnswer: 47370708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/7 + 32\/(-14). Let t be 3\/u - 94\/(-60). Let a(i) = -i**3 + 5*i**2 - 4*i - 1. Let l be a(4). Is t != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**2 + 18*c - 22. Let k be d(16). Does 8 divide 2034\/k + 19\/(855\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 14 and -0.112894?\nAnswer: 14.112894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1284*i**4 + 514*i**5 + 2190*i - 643*i**4 - 641*i**4 wrt i.\nAnswer: 10280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 526 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 21*k + 60. Let b = 0 + 3. Suppose b*q - 294 = -k*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/27 and -97\/174.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 4)*(m**2 - m**2 + m**2)*(-1 - 5 - 1).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -5*q + 3*a + 2*a, -5*q = 28*a - 82*a - 181 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does -207757125\/4 = -51939282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is dc (base 15) in base 12?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1301*i**3 + 14042*i**2 - 14042*i**2.\nAnswer: -1301*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -34 - -41. Let i(h) = h**3 - 6*h**2 - 6*h - 5. Calculate i(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -6*i - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -469b1 + -1538?\nAnswer: -47ee9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.16114 rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -194 by -4.\nAnswer: 97\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 20*a**5 - 3*a**4 - 3*a**3 - 10*a - 3. Let k(h) = h**4 + h**3 + h + 1. Let c(b) = -3*k(b) - o(b). Find the second derivative of c(j) wrt j.\nAnswer: -400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2713661082 to the power of 1\/3, to the nearest integer?\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2\/3 + 21157*j + 317380\/3.\nAnswer: -(j - 63476)*(j + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 2*q**4 - 4*q**3 + 3*q - 4. Let m(n) = -6*n**4 + 11*n**3 - 8*n + 11. Let c(i) = -11*j(i) - 4*m(i). Find the second derivative of c(u) wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 49218 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/(-84)*(-49)\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46509 divided by -5?\nAnswer: 46509\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 1430?\nAnswer: 1430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.4 - -0.1. Let v = 6 + -4. Let j(i) = -i**3 - 3*i**2 + 9*i + 11. Let d be j(-1). Which is the third biggest value?  (a) z  (b) d  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*r - 40*s = -72*r - 42*s - 10, -4*s = -3*r + 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.9517 minus 170.67?\nAnswer: -172.6217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from vvvyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2399639 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 106*w + 318 + 318 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -546116, -1092263, -1638410, -2184557, -2730704, -3276851?\n\"Answer: -546147*n + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 351 + -311. Is y equal to 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 + 2*p**2 + 3*p + 2. Suppose x - 5*u = 17, -24*u = 4*x - 21*u + 24. Let o(b) = -b**3 - 3*b**2 - 4*b - 3. Give x*t(z) - 2*o(z).\nAnswer: -z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -41 - -47. Sort -1, -4, i, 3 in ascending order.\nAnswer: -4, -1, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73006056146 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.3, 17508, 2\/19, 5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 27*b**2 - 25*b - 4. Is o(3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 0 - 3 = 0. Solve -5*v = 5*o - 10, -p*v - o + 6 = -6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -105, -443, -1001, -1773, -2753?\n\"Answer: x**3 - 116*x**2 + 3*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-3)*6*2. Let b(r) = -5*r - 4. Give b(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2\/1124125 - 73078641\/5910649250. Calculate the common denominator of -54\/77 and y.\nAnswer: 36806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 9\/2 of a centimeter?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3, 13, 101, 4, 7, 0 in descending order.\nAnswer: 101, 13, 7, 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 11*g**2 + 3*g**3 + g**3 + 15 + 24 - 12 + 13*g - 3*g**3. Let i be y(-10). Let v(x) = x**2 + 4*x. Calculate v(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2100\/43 - -1267583\/25972. What is the common denominator of (((-18)\/(-30))\/(-3))\/(1\/7) and z?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -854, -831, -808, -785?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 270*d**6 + 1701*d**5 - 17*d**3 + 10095942*d**2.\nAnswer: 32400*d**3 + 102060*d**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 13 + 63. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16983.\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q - 1. Let m be 1\/(((-6)\/9)\/(4\/(-3))). Let j(n) = -n**3 + 3*n**2 - n - 2. Let i be j(m). What is g(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 3*w + 2*o + 16328 = 0, 0 = w - o - 16321. What are the prime factors of w?\nAnswer: 2, 3, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of -1\/6*g**3 + 1\/30*g**5 + 1\/126*g**7 + 1\/6*g**2 - 53*g - 1\/30*g**6 + 0 + 1\/18*g**4. Solve m(x) = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/((f*f\/f**2*f)\/f))\/f)**31\/(f*(f*f**(1\/2)*f)\/f*f*f*f*f**6*f))**(-47) assuming f is positive.\nAnswer: f**(1175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -439*d + 6591 = 632*d + 130*d - 5419 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, d: 1, n: 1, a: 4}. Give prob of sequence aa.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1955635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 - -5.97. Let p = -612.6 - -613. Which is the fourth smallest value?  (a) s  (b) 2  (c) p  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -o + 2, -l - o = 2*o - 4. Let j(q) = 2*q**3 + 4*q**2 - 4*q + 1. Let s be j(l). Solve 0 = 5*c + 20, s*z - 2*c - 2 + 0 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 17871.5956 and 0.3.\nAnswer: 5361.47868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -38398*a - 115141. Determine y(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -139*-97.5577\nAnswer: 13560.5203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 h when three letters picked without replacement from {v: 1, z: 7, h: 5}?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1\/7, 0.5, 1896, 0.141, 2\/9, -3?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 + -1476aa1?\nAnswer: -1476aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.023375 to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 32085 + -20402. What are the prime factors of b?\nAnswer: 7, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -6 - 6. Suppose -540 = -122*i + 110*i. Let h = r + i. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -873*h + 1794*h - 921*h - 2438*h**2 + 15902*h**2.\nAnswer: 13464*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, 0.1, -9.\nAnswer: -9, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 113315 divided by 131?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 304073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -12) + -26 - -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-13)\/(78\/20)*(-4050)\/125)\/(36\/(-24))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1222735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15993*t**2 + 15629*t**2 - 31622*t**2 + 3*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 1257 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 8*d**2 - 6*d - 1. Let q(z) = -z**3 - 9*z**2 + 7*z + 2. Calculate -6*p(c) - 5*q(c).\nAnswer: 5*c**3 - 3*c**2 + c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4, -0.01 in increasing order.\nAnswer: -3, -0.01, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -3*f**5 + 3*f**4 + 78*f**3 - 78*f**2 - 75*f + 75 = 0.\nAnswer: -5, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -8 - -7 - (1 - 31)\/(-2). Let a = m - -18. Solve 0*i - 2*i = a*y + 2, 0 = y + 5*i + 21 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 860141995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((132\/21)\/(-2))\/(((-96)\/(-42))\/16)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-1 + 0 + 34\/(-4))*-20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 6 + 3)*(-x**4 - 2 - 4*x**3 - x**3 + 3).\nAnswer: 5*x**4 + 25*x**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 2 + p**3 - 3 + (2 - 2 + 2*p)*(-8*p**2 + 98*p**2 - 2*p**2).\nAnswer: 177*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 51066 - 531?\nAnswer: 50635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 (base 8) in base 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1*(2\/(-8))\/((-305)\/10370)\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 29988271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 87*z**2 + 146*z**2 - 22*z**2 - 21*z**2 - 49*z**2 + 102*z**2 + (-2*z**2 + 0*z**2 + 3*z**2)*(-2 + 2 - 1) as r*z + v*z**2 + k and give v.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6787 is divided by 748.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -904 + 901. What is the closest to 1 in i, -0.047, -5?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 246?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 - 2. What is the first derivative of d*b + 4 - 29*b - 17*b**3 + 20*b wrt b?\nAnswer: -51*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of q**5\/20 + q**4\/3 - 2*q**3\/3 + q**2 - 3*q. Let j be s(-5). Let k be (-1*4)\/(j\/9). Solve -k = -3*d - d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 - 415*c - 34500. Give x(-71).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-6)\/(-9))\/((-10)\/(-6)))\/(31\/124)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -50218 by -8.\nAnswer: 25109\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 244418708 to the nearest integer?\nAnswer: 15634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -783, 1690, 10677, 29436, 61225, 109302?\n\"Answer: 543*z**3 - z**2 - 1325*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + l + 21 + 79, -4*o + 5*l + 405 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96*o + 761 = -437 + 334 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 46*i + 327 + 409 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sffffdfssffsfsdf. Give prob of picking 3 f and 1 d.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0065919484 to four decimal places.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1182 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -11249, -22599, -33949?\n\"Answer: -11350*l + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, t: 2, p: 1}. Give prob of sequence ptt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/15))**(2\/75)*(j\/(j*(j\/(j*j\/j**17*j))\/j))\/(j\/j**(13\/3)) assuming j is positive.\nAnswer: j**(-11996\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*i + 1125 = -73*i - 20*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + q**4 - 2)*(-q - 4*q + 3*q + (3 + 2 - 3)*(5*q + 0*q - 6*q) + (-3 + 7 + 2)*(-16 + 16 - 7*q)).\nAnswer: -46*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the third derivative of -7*j**6\/120 - j**3\/6 + j**2. What is the derivative of m(a) wrt a?\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tttjtttj.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x**2 - 10*x + 5. What is u(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 3*a + 161 = 0, -483 = -0*n - 3*n + 3*a. Suppose -5*r = -24 - n. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (133\/95)\/((-84)\/(-3000)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 109597*d**2 - 2921*d + 6*d**3 - 5*d**3 - 109597*d**2 as x*d**2 + k + g*d**3 + q*d and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, b: 1, q: 2, e: 1}. What is prob of picking 1 l and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 5, 1376 in descending order.\nAnswer: 1376, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117) + (-5*sqrt(117) + sqrt(117))*-6 + sqrt(117) - sqrt(117)) + sqrt(117))\/((sqrt(9) + -5*sqrt(9))*4).\nAnswer: -13*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 790 and 3076418?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1922\/(-154721)*1*7?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of 0 + 0*h**5 + h + 0*h**3 + 1\/15*h**6 - 1\/6*h**4 + 0*h**2. What is the third derivative of s(l) wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (209*p - 67*p + 274*p)*(4 - 2*p**2 - 4) in the form q*p**2 + o*p + t + i*p**3 and give i.\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, e: 1, l: 1, v: 1, b: 1}. What is prob of sequence evb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 255\/306 - (-1)\/(-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -347459.22 rounded to the nearest one thousand?\nAnswer: -347000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(304) + -1*(1 + sqrt(304)))*-4 - (5 + sqrt(304) + sqrt(304) + -2*sqrt(304) + sqrt(304) + 3 + sqrt(304)*1))**2.\nAnswer: 64*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - z + 12 = 0. Suppose 0 = -z*d + 17*d - 180. Solve 2*u - d = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -6*(sqrt(11) + 0) - (sqrt(176)\/sqrt(4) + sqrt(11) + (sqrt(33)*2)\/sqrt(3))**2) + 1.\nAnswer: -278 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 2*q**2 - 12*q + 1. Suppose -4 = -r + 2. Let t be n(r). Suppose 2*h - 5*m - 10 = -t, 0 = -2*h - m + 27. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4436 and 8872?\nAnswer: 8872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 32 = r + 2, q = 3*r - 20. Solve 5*s = -r*w + 20, -4 = 5*s + 4*w - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 - -14. Suppose -r*v + 2*c = 380 - 1918, 1517 = 4*v + 5*c. Suppose -4*l + 381 + v = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from asslalllaaasa.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11232 + -6090980885.\nAnswer: -6090969653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 + 8*i**2 + 18*i - 13. Determine c(8).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24360 and 31604055?\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 4*u + 8, 5*m = 10*m + 5*u + 10. Suppose 5*o - o + 4 = 3*d, 2*o - 16 = -3*d. Put d, -5, m in descending order.\nAnswer: d, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**1)**38*(f\/f**0)**(-2\/7))\/((f**(2\/7)*f)**(-14)\/(f**(-2\/7)\/(f*f*f**(-1\/11)*f))) assuming f is positive.\nAnswer: f**(4044\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 + 22*p**2 - 45*p + 19. Calculate b(-24).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 171226 (base 9) to base 16.\nAnswer: 19da3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 plus 1656?\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 42 + -24. Let k be 1\/(l\/8 - 2). Suppose -1 = k*r - 21. Is r > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1177, 2165, 2933, 3451, 3689, 3617?\nAnswer: 3205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 48, 185, 410, 717, 1100?\n\"Answer: -f**3 + 50*f**2 - 6*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from {p: 1, x: 5, r: 3, z: 4}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 307188699.\nAnswer: 3, 102396233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - -2. What is the third smallest value in -2, 2\/7, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -3*a - 4*w - 262, 6 = -2*w. Let h = -40 - a. Solve -u - 2*p - h = 0, 4*u + 3*p + 9 = -6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 2 v, and 1 n when four letters picked without replacement from {p: 1, n: 4, o: 3, v: 2, t: 1, g: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-32)\/12*(-18)\/8. Let h = -9 + y. Is h + 0 - -2 - -890 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38954734 a multiple of 2702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/26)\/((-2)\/((-8)\/(-3)))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 982953.6t in kilograms?\nAnswer: 982953600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*m**3 - 126*m - 49*m - 382*m + 78*m.\nAnswer: 2*m**3 - 479*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -137*y + 135*y = -d + 8, 5*d = 2*y + 16 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -30*m + 29*m - 222*m**3 + 71*m**3 + (0 - 2 - 1)*(-3*m**3 + 5*m**2 - 5*m**2) as q*m + y + r*m**3 + i*m**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/90 and 4\/27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 4*w + 6. Let t(p) = -p - 9. Let o be t(w). What is the units digit of (4\/o)\/((-12)\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 532*w**3 + 20 + 52*w**4 + 131*w + 6*w**5 + 168*w**2 - 37*w - 392*w**3 = 0 for w.\nAnswer: -5, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 - k**2 + k. Let s be (15\/5)\/(1 - 0). Is l(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/2 and -30\/371.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-715)\/52)\/(31\/(248\/2)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/w**(-1\/13)*w)*w\/w**(1\/7))**(3\/8) assuming w is positive.\nAnswer: w**(-15\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 27903504847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.37 - -0.37. Let p = m + 2.135. Round p to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -217.1 - -217. Which is the biggest value?  (a) k  (b) 5\/3  (c) 2\/5  (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 15*o**2 + 103*o - 10. Give r(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10339 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 63269 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -276890.907 to the nearest 1000.\nAnswer: -277000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 42165266 (base 7) to base 5\nAnswer: 1403000134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.0030064 from -0.0337961.\nAnswer: -0.0368025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2*n)*(17 - 12 + 30)*(-12*n + 19*n + 31*n).\nAnswer: 2660*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -28*y - 1. Let k(g) be the first derivative of -g**5\/120 - 4*g**3\/3 - 37. Let o(b) be the third derivative of k(b). What is o(r(a))?\nAnswer: 28*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -772 and -307.\nAnswer: 237004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 22293109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5576457 years in centuries?\nAnswer: 0.005576457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -0 - 23. Suppose 3*m + 30 = 5*o + 3, -5*o + q = -2*m. Factor -c**2 + 2*c**3 + 0*c**2 + 0*c**o + 3*c**2.\nAnswer: 2*c**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (3 - -17) + -36 + 18 + 1 + 17?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2\/(-12) - (1 + 1453\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 33*a - 10. Let k be n(4). Suppose -2*b - k = -3*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 210*g**2 - 21*g - 21. Let h be ((-21)\/315*-10)\/(1\/(-3)). Let b(s) = -21*s**2 + 2*s + 2. Calculate h*y(j) - 21*b(j).\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hff when three letters picked without replacement from ddchccfvddhhvvrhfr?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -26 - -41. What is the nearest to -0.2 in -2\/11, b, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2\/9 - 1141084*j\/9 - 162759086882\/9.\nAnswer: -2*(j + 285271)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 102015 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((1215\/(-30))\/27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q - 9. Let m be j(-11). Let x(o) = 7*o + 7. Let a = 127 + -68. What is the remainder when a is divided by x(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*d = -22*d + 40. Find the common denominator of ((-14)\/d)\/((-3)\/18) and -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 3*v**2. Let n be m(-1). Suppose 0 = 169*y - 162*y - 56. Solve 4 = n*q - 2*a, -a = 3*a + y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 30*y. Let f(k) = -k**2. Give m(f(q)).\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 22\/(616\/42)*(-19 + -55)*(-1)\/(-3)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 29993*o + 389869. Calculate t(-13).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -65*l**2 - 40*l + 40. Let u(t) = -5*t**2 - 3*t + 3. Let s(a) = 3*n(a) - 40*u(a). Let q(y) be the third derivative of y**5\/60 - 2*y**2. Give q(s(r)).\nAnswer: 25*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 4976*z - 510. Is 11 a factor of q(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 497859 to the power of 1\/2, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93764?\nAnswer: 2, 11, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -37 + -3818?\nAnswer: -3852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*q - q + 20*q to the form o + i*q and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10\/(1 - -1) + -2. Suppose -3*l + l = 3*p - 115, -l + 59 = k*p. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7990, 7545, 7098, 6649?\nAnswer: 6198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t + 27 = 195. Suppose t*s = -3*s + 162. Solve 2 = s*a - 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:25 PM and 8:31 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 104*s + 1262. Calculate b(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -19 - f + 19 + (-1 + 4 - 1)*(5*f - 3*f + 0*f) + 309*f - 179*f - 226*f.\nAnswer: -93*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -862, -989, -1104, -1201, -1274, -1317, -1324, -1289?\n\"Answer: t**3 - 134*t - 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 + -4. Let c be 215\/45 + y\/18. Solve -34 = -c*x - 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-6)\/(-2))\/(18\/24))\/(-3)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-28)\/126 - (-298)\/(-198)) + 2.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 80, 4, 5.\nAnswer: 4, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (55\/(-30) - (-5)\/(-20))\/((-15)\/60). Let u(v) be the first derivative of 22 - 1\/9*v**3 - 5\/3*v**2 - h*v. Suppose u(j) = 0. What is j?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/r**(2\/7))**3\/((r\/r**(-2\/27)*r)\/r**2) assuming r is positive.\nAnswer: r**(958\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -1531*w - 257328. Calculate u(-167).\nAnswer: -1651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.5, 3686, -3, 3\/2, -0.007?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from {e: 1, v: 18}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55 - 204*q**2 - 53 + 100*q**2.\nAnswer: -104*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 424141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -431 - 190 = -73*b + 1496 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of m**7\/210 + 77*m**6\/120 - 236*m**5\/15 + 179*m**4\/2 + 528*m**3 - 2261*m**2. Factor u(x).\nAnswer: (x - 6)**2*(x + 1)*(x + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, -9, -5\/2, 30, 0.106?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3 - u**2 + 1. Let p(s) = -24*s**3 + 5*s**2 - 5. Calculate -5*f(q) - p(q).\nAnswer: 29*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 194 and 485.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 92296746 and 214245.\nAnswer: 461483730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/22 and -3\/21256.\nAnswer: 233816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -44\/21 and 101\/70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -21*k**2 - 142*k + 374. Determine d(-9).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 166 + -464441?\nAnswer: -464242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxejnjnnajnjnjte. What is prob of picking 2 j and 1 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 f when three letters picked without replacement from blxltfltftblllltw?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27650*t - 1 = s + 27652*t, 3*s + 7 = -2*t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -100101001110110111001 (base 2) in base 12?\nAnswer: -4aa049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the second derivative of c**4\/12 + c**3\/3 - 11*c**2\/2 + 97*c. Let o be h(3). Find s, given that 1\/6*s - 1\/6*s**o + 1\/2*s**3 - 1\/2*s**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 + 11*n - 16. What is w(-13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -44*k**3 - 12*k**2 + 9. Let m(n) = -11*n**3 - 3*n**2 + 2. Let p(z) = 9*m(z) - 2*x(z). Find the third derivative of p(w) wrt w.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4968 - -9490. What are the prime factors of h?\nAnswer: 2, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 70 + -75. Let q be 2\/7*(-308)\/(-220). What is the closest to q in f, 1, -3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6087 - -24343\/4. What is the third biggest value in -23, c, -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of 11*r**2 + 1\/4*r**4 - 2\/105*r**7 + 0*r - 2\/9*r**3 + 0 + 1\/504*r**8 + 7\/90*r**6 - 8\/45*r**5. Factor y(z).\nAnswer: 2*(z - 2)*(z - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1829?  (a) 434  (b) 5  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 473056 times -0.2?\nAnswer: -94611.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.5, 2, -8, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, h: 1, x: 2, g: 1}. What is prob of sequence xhkg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3410333393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*o**4 - 1205*o**3 + 40550*o**2 + 380960*o + 799200 = 0. Calculate o.\nAnswer: -270, -4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -4*p. Let g(k) = 64*k. Determine g(x(i)).\nAnswer: -256*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -129775 - -0.5\nAnswer: -129774.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (40\/25)\/(60\/150).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2435824 to the power of 1\/2, to the nearest integer?\nAnswer: 1561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 53375964 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.84 + -0.84. Which is the closest to 1?  (a) -0.2  (b) -2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1535 is divided by 743.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5\/7?  (a) 2  (b) -2\/15  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus 90847?\nAnswer: -90849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 68, 18, 2086, -1.\nAnswer: -1, 18, 68, 2086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -126 + 138 + 3 + -39?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2 + 400*d - 402.\nAnswer: 2*(d - 1)*(d + 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3 - 3139513*t**2\/4 + 308017129881*t\/2 - 154008368721\/4.\nAnswer: (t - 392439)**2*(4*t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 + 6*l**2 + 4*l - 6. Let y be h(-5). Let f be ((-2)\/(-22))\/(11\/(-22)) - 2240\/1232. Sort -3, 2, y, f in increasing order.\nAnswer: -3, f, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -85 + 133. Suppose 28 = 8*s - 68. Calculate the greatest common factor of s and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 38 - ((-7)\/3)\/7*-6. Calculate the highest common divisor of 168 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y. Let z(p) = 12*p. Calculate 4*r(s) - 2*z(s).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:20 PM and 7:58 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-3))\/((-48)\/72)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -28*v + 297. Solve 0 = 12*r - v - 49 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 728*w**3 - 249*w**3 - 243*w**3 - 247*w**3.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12 + 16. Which is the second smallest value?  (a) v  (b) -1  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 243*b - 2*b**2 - 561*b**3 - 517*b + 274*b + 785 wrt b.\nAnswer: -1683*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 + 50*b**2 - 7*b + 13. What are the prime factors of t(-44)?\nAnswer: 3, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -968*m**2 - 5*m + 3419*m**2 - 963*m**2 - 1487*m**2.\nAnswer: m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*((t*(t*t**(-14))\/t*t)\/t)\/t*t)**(1\/41))**(-27) assuming t is positive.\nAnswer: t**(324\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 3*c**3 + 3*c**2 + 35*c - 96. Let t be m(5). Is 1586\/3 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000005973 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 222807854 to the power of 1\/3, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 15b + -14856b?\nAnswer: -148410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*u**2 - 12*u**2 - u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -2*v + 453. Suppose 64 + v = 5*t. Calculate the remainder when t is divided by (12\/(-8))\/(6\/(-88)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-40)\/15)\/((-4)\/6). Suppose -4*z + 0*z + 2*y + 10 = 0, -4*y + 16 = h*z. Let s be (1*-2)\/((-2)\/25). Solve z*t - s = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a - 1. Let h(k) be the third derivative of -k**4\/8 + 4*k**3\/3 + 8*k**2 - 10*k - 4. Let g = 14 + -13. Determine g*h(b) + 5*j(b).\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45053332.\nAnswer: 2, 17, 19, 34871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the second derivative of 2*k - 5\/6*k**3 - 1\/20*k**5 + 0 + 0*k**2 + 0*k**4. What is the second derivative of w(b) wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -133 - -50. Let g = 83.1 + m. What is the second biggest value in 1\/7, 7, g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of n**4\/4 + n**3 - n**2 - 4*n - 164874. Let v(t) = -t - t + t**2 - 1 - 2*t**2. Let k be v(-3). Determine f(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-85)\/17 + 83\/17.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 57 - 70. Let r = c - -13.00092. What is r rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -275*f**5\/4 - 224665*f**4\/4 + 17916995*f**3\/4 + 36733645*f**2\/4 - 14107050*f + 500625 = 0.\nAnswer: -890, -3, 2\/55, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 116350 and 1791790.\nAnswer: 8958950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -5*f + 164, y - 2*f = -0*y + 51. What is the remainder when y is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 383918 or 383915?\nAnswer: 383915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3470003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2014200300 (base 5) to base 9\nAnswer: 7556845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*h = -8 - 19. Let k be (-9)\/((-135)\/3036) + h\/(-5). Calculate the highest common divisor of k and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*y - 34*y = -10. Suppose 0*q - 716 = -y*q + 2*p, -3*p = 9. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -3*w - 17, 2*w + 28 = -2*k + 6*k. What is the second derivative of 9*r + 5*r**k + 0*r**5 - 4*r**5 + 0*r**5 wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-12)\/(-7) - 30\/(-105). Suppose 296 = h*t - t. List the prime factors of t.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/88 and -13\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -337 at most as big as -51175\/152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r - 4. Let p be y(-8). Let n(h) = h + 6. Let d be n(-6). Solve 0 = p*i - d*i - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 308 divide 1111452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1178101, 1178051, 1178001?\n\"Answer: -50*c + 1178151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 35438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -268 + -35?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -112864*m**2 - 173*m + 96 wrt m.\nAnswer: -225728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/7, -3, -0.1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10.16 - 10.56. Which is the second smallest value?  (a) 2\/3  (b) 0.39  (c) s  (d) -5  (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 229901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 + o - 36. Let x be b(0). Let h = x - -116. Calculate the greatest common divisor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 3544*c + 2. Let j be m(1). Let n be 2\/3 + j\/27. Let t = n + -62. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - v + 5. Let c be x(0). Suppose c*j - 8*j = 0. Solve r = -j - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 4*o - 10992, -5*r + 22*o = 24*o - 13754. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 2*d**2 + 7*d + 3. Suppose -2*r - 6 = z, 8 = -2*r - 3*r + z. Let t = r + -4. Let h be g(t). What is the greatest common divisor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - 0. Suppose -2*x + 4 = 2*r, 0 = -4*x - x - r + 10. Let v be (g\/(-6))\/(x\/30). Put v, -5, 4 in descending order.\nAnswer: v, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*k - 589 - 13631 = 0. Solve 385 - k = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 16*g = 18*g + 38, -2*o = -g - 25. Calculate the remainder when 970 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 467359?\nAnswer: 41, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1298*j**5 + j**3 + j**2 + 25*j + 3 wrt j.\nAnswer: -77880*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 + d**2 + 24*d - 25. What is c(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2333 - 10?\nAnswer: -3003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 502190436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 2 - 2 + p**4 - p**3 + (3*p**2 - 5*p**2 + 0*p**2)*(-3*p**2 + p**2 + 3*p**2) + (1 - 8 + 1)*(9*p**4 + 21*p**4 - 24*p**4).\nAnswer: -37*p**4 - p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 80*q**4*t**3 + 77876*q**3*t**3 + 4577*q*t**3 - 110*q*t + 2*q wrt q.\nAnswer: 960*q**2*t**3 + 467256*q*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the first derivative of -104 + 0*v - 44\/3*v**3 + 5*v**2. Find the second derivative of j(i) wrt i.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 0.4  (b) -1  (c) 13  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17001532 to the nearest integer?\nAnswer: 4123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45 is divided by (-12)\/(-8)*1\/(9\/138)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -180512, -361121, -541730, -722339?\nAnswer: -902948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00795737448 rounded to six decimal places?\nAnswer: -0.007957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 274*p - 265. What is y(4)?\nAnswer: 831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 50670.59km in nanometers?\nAnswer: 50670590000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 25296.8 - 25297.0481518. Let j = -0.298152 - u. Let p = -0.05 - j. What is p rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 224454405?\nAnswer: 3, 5, 7, 79, 27059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 12*n - 10*n. What is the greatest common divisor of n and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(2299))*5 + (sqrt(2299) + sqrt(2299)*-1 + sqrt(2299))*-3)**2.\nAnswer: -440*sqrt(19) + 9296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(147) + (sqrt(147) - (sqrt(147) + 2)) + sqrt(147) + 0 - (0 + sqrt(147) + sqrt(147) + 2))**2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 258 divide 62334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 32433006*n**5 + 865*n - 72735.\nAnswer: 648660120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 4*q + 38, j + 1225 - 1199 = -4*q. Determine d, given that -6*d**j + 6\/11*d**4 + 0 + 24\/11*d**3 + 36\/11*d = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 5802, 0.4, 3\/4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 3*j = 14, 7*j - 4*j - 22 = -2*w. Suppose 6 = -4*x - 2, n + x = -w. Sort -3\/5, -2\/11, n, -0.01 in descending order.\nAnswer: -0.01, -2\/11, -3\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82\/(-66) - (-6)\/(-66)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 24641 (base 9) to base 10\nAnswer: 16561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from oyyyofyyyfcyy?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -10.77 and 393265385326?\nAnswer: 393265385336.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - j - 25 = -6*j, 15 = 4*k + 3*j. Suppose 3*z - 49 - 113 = k. What is the least common multiple of ((-63)\/(-18) - -2)*(-8 - -12) and z?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3)\/6)\/((-2)\/204). Let v be -4*(2 - q\/6). Let z(l) = 24*l - 943. Let y be z(42). Calculate the greatest common divisor of v and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(80) + 1 + sqrt(80))**2.\nAnswer: -64*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of -h**4\/30 + 7*h**3\/15 - 6*h**2\/5 + 29*h. Let n(r) = 0. Calculate r.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5.53 + 3.56. Let b = 0.03 - j. Let c = -1.9 + b. Do c and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:08 PM and 11:12 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 56 - 17 - 17 - 22 + 2*n + 34*n**3 to u*n + w + k*n**2 + g*n**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 2*b**2 - 5*b - 2. Is l(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1904 and 408?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.3 + -0.2. Let o = 1.8 - 12.8. Let y = o + 8. Which is the second smallest value?  (a) y  (b) d  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2021012 (base 4) in base 10?\nAnswer: -8774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 150728 divided by -9.\nAnswer: -150728\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1145031 + -324332?\nAnswer: 420255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16057 + 754680\/47. What is the second biggest value in -0.5, r, 18?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ahaaaaaahhhhhphpv. Give prob of picking 1 h and 1 v.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2153440?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 PM and 7:23 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 5*r + 50 = 15, -4*c + 74 = -2*r. Suppose b = -3*b + c. Let k(f) = f - 8*f + 0 + b. Let x(v) = -8*v + 6. Give 6*k(w) - 5*x(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**3 - 2*w**2 + 2*w + 2. Let b = -25346 + 25340. Let a = 2 + 1. Let r(o) = -7*o**2 + 6 - 3*o**a + o + 6*o + 1. Give b*r(u) + 21*k(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 + (2 - -3) + -4. Let x(p) = p**3 - 2*p**2 - 3*p + 2. Let d be x(3). List the prime factors of z*(-5 + 2) + d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 620 is divided by 200.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56313\/3 + -3*91\/39?\nAnswer: 2, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*(-6)\/(-9) - 3. Is o\/(9\/282)*(-9)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -8*f - 12. Let x be w(-2). Let z be (-135)\/(-126)*x\/(-10). Which is the nearest to 0.4?  (a) z  (b) 10  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1300)\/160)\/13*6\/(-5)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3171 and 9?\nAnswer: 9513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of 2*q**2 + 8\/3*q**3 - 22 + 1\/5*q**5 + 5\/4*q**4 + 0*q. Determine h so that l(h) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 5*u - 20, 0 = 3*h - 2*u - 2*u + 16. Let d = 13 - h. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 - -1639?\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 78147 divided by -8683?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 - 22. Suppose -4*t = -5 - 3. Put o, 4, t in descending order.\nAnswer: 4, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-74 - -75)*(-24)\/(-42). Which is the second biggest value?  (a) -0.2  (b) -4\/7  (c) -0.01  (d) y  (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the second derivative of -g**5\/10 - g**4\/12 + 5*g**3\/6 - g**2\/2 + g. Let z be a(-3). Find the third derivative of -z*y - 9*y**2 + 29*y - y**3 wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1182471637 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/1452 and 8\/627.\nAnswer: 27588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3\/50  (b) 0.1  (c) 0.17  (d) 0  (e) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15.54 - 105.54. Let i = -4\/29 - 5\/174. What is the second smallest value in i, n, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*b = -35*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*k = -9448 - 20840 - 37552. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 - 4*f**2 - 4*f - 1. Let z be a(-4). Suppose 2*t + t = z. Let l(u) = u**3 - 4*u**2 + u - 4. What is the remainder when l(t) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 7) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**12)\/(t*t*t*t\/t**14*t)*(t*t\/(t\/((t*t**(2\/7))\/t*t))*t)\/t**(3\/13))**(-16) assuming t is positive.\nAnswer: t**(-36480\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(34)\/(sqrt(18)\/sqrt(9)) - (-5 + sqrt(170)\/sqrt(10)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + -2. Let i be (-1 - -7)\/((-3)\/(-2)). Suppose -16 = -2*v + 4*p, i*p = -s*v - p + 13. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 PM and 12:55 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (1*sqrt(88)*-1 + sqrt(88))\/((sqrt(72)*2 + sqrt(72) - sqrt(72))\/sqrt(9)) + (sqrt(88)*1*-1)\/(sqrt(8) + sqrt(8) + -6*sqrt(8)*2).\nAnswer: sqrt(11)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137639 is divided by 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -15*p + 39\/7*p**2 - 21 - 3\/7*p**3 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.014619166073 to six dps.\nAnswer: 0.014619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 93116056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(832) + 4)**2 + -1)*-3.\nAnswer: -2541 - 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*a + 5 = -11*a. Let m be 2 + -86000004*(a + (-27)\/6). What is m rounded to the nearest 1000000?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 89*g - 264. Determine o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 5*i + 140, 108 = w + 3*w + 3*i. Let s = w - -14. Suppose 3*d + s = 5*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -531123 (base 7) in base 4?\nAnswer: -112113333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 667 - 669.1. Let s = -4.634 + -0.366. What is the nearest to 0 in s, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12188 and 40348?\nAnswer: 11176396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -5362093?\nAnswer: -5362093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 4 - 3*x)*(2 + 0 + 6) + 218*x + 65*x + 120*x - 141*x + 146*x in the form q + j*x and give j.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -4\/77  (b) 12.4  (c) 0  (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -2\/21  (c) -0.3  (d) 1  (e) -68  (f) -117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*q - 11592 = -21*q. Suppose 6*w = q - 228. Let x(r) = 35*r**2. Calculate the remainder when x(1) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15418, -30837, -46256?\nAnswer: -61675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 33 = -5*q, 72*q = 77*q + 3*a - 31 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 125 by -415.\nAnswer: -25\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 16765206233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - a - 1427 = 0, 3*o + a - 414 = 1009. What are the prime factors of o?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggia when four letters picked without replacement from gaigi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 130*n**2 - 348*n + 2476. List the prime factors of w(7).\nAnswer: 2, 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {j: 2, p: 1, e: 2, z: 8, w: 7}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*m = 2*m - 29*m. Let y be 4\/(-6)*(-9)\/(-8). Is y <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 47*m**2 - 8*m**5 - 47*m**2 + m**5 - 3*m**4 + 3*m**4 + (3*m - 2*m - 3*m)*(m**4 - 5*m**4 + 5*m**4) - 4*m**5 + 3*m**2 - 3*m**2.\nAnswer: -13*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(425)*-1 + sqrt(425) + -5)**2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -q**3 + 5*q**2 + 1673*q - 1677 = 0. What is q?\nAnswer: -39, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2451614, 2451599, 2451584, 2451569, 2451554?\nAnswer: 2451539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 8  (b) 0.061  (c) 229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-48)\/14*5\/(35\/(-14))*(-2191)\/(-626).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -53722 - -8?\nAnswer: -53719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 106505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 292 - 360 = 17*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3759140275?\nAnswer: 5, 11, 53, 23447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-47)\/141*1*15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 11*b**2 + 1. Let s(m) = 5*m**2 - 12*m + 30. Let u(o) = o**2 - 2*o + 5. Let k(x) = s(x) - 6*u(x). Calculate k(w(r)).\nAnswer: -121*r**4 - 22*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 275 = 912. Let k = i + -600. What are the prime factors of k?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/30)\/((-3)\/(-5)). Let j(r) = -2*r - 10. Let q be j(-7). Let t be (q + 57\/(-12))\/3. What is the closest to t in 0.4, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -467 + 1992. Suppose -x - 2255 = -14*d. Calculate the highest common divisor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5689.\nAnswer: 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**2 + 25*n + 9. Let l(g) = g**2 - 48*g - 18. Determine -5*i(a) - 3*l(a).\nAnswer: 2*a**2 + 19*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-14) + -13 + (-676)\/(-91)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 269*n**2 - 15*n**2 - 131*n**2.\nAnswer: 123*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1535 and 254105.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 242, 476, 708, 938, 1166?\nAnswer: 1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -9814 bigger than 0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*i + 22*i - 33 = 27 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-21)\/4 - (-2)\/8. Let m(x) = x**2 + 7*x + 5. Let g be m(o). Let f = 0 - g. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11224169.\nAnswer: 11, 1020379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 14 + (-56 - 2) + -23\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 695 divide 9597719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 - 218*j + 9192. Determine g(161).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - g - 2*g = 0. Let z(w) = w**3 + 6*w**2 - w - 5. Let x be z(-6). Solve -4*s + 3 + x = g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -3 - 2*w + 4*w**2 + 25*w + 2. Let k(r) = r**2 - 55*r + 288. Let c be k(49). Let i be y(c). Solve 2 = i*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63338.\nAnswer: 2, 11, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 + 15*t**2 - 11*t - 30. Let i be g(14). List the prime factors of (i\/3)\/(-1) + 90.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.08 - -0.38. Let f = d + 4.5. What is f rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 74, 70, 64, 56, 46?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6363.\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/(-27) + 1136\/72 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -20642, -5, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4528 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/76 and ((-10)\/1580)\/(133\/5997) - 116\/(-406).\nAnswer: 6004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 21 - 7 = 2*g, -2*i + 20 = 4*g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 13) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 0 + 3 - 2)*((-112 + 9*s + 112)*(4*s + 4*s + 0*s) + 0*s**2 - 4 - 3*s**2 + s**2).\nAnswer: 140*s**3 + 70*s**2 - 8*s - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 6*l + 10*l - 77490. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14 - -2. Let j be ((-8)\/u)\/((-4)\/(-9)). Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.4 + 1.387. What is p rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 244 = -4*t - 0*t, 4*q = 2*t - 116. Let h = t - 60. What is u in 25*u**2 - 22*u**4 + 3*u**4 - 30*u**4 + 55*u**3 - 10*u - 21*u**h = 0?\nAnswer: -1\/2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = -5154 + 5161 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 154154 and 343497?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -423 - -32240?\nAnswer: 31312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 246 is divided by (-1 - 1065\/(-55)) + (-76)\/209.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11383481 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 999*c + 1. Let x be o(1). What is x rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 - -2)\/(1\/101). Suppose 964 - 124 = 5*n. Let v = g + n. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -3*f**2 - 3*f. Suppose 0 = -3*d + 12 - 6. Suppose -16 = 3*x + d*j, -j + 3 + 0 = -4*x. Give k(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h**3\/2 + 44689*h**2\/2 - 249425932*h - 4747162502 = 0. Calculate h.\nAnswer: -19, 22354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 26*x**2 + 4*x - 41. Let c(g) = 52*g**2 + 8*g - 83. Let d(s) = -2*c(s) + 5*l(s). List the prime factors of d(-6).\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3, -1, 5, -44\/7, -2\/9 in descending order.\nAnswer: 5, 3, 0, -2\/9, -1, -44\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 194.07 rounded to 0 dps?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-1482)\/702*(-6)\/76\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -731 - -735. Let c(m) = -7*m + 94. Let v be c(j). What is the greatest common factor of v and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 30001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {l: 6, g: 5, n: 2, v: 2, y: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 PM and 12:31 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 12:25 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, x: 10, s: 2, w: 2, u: 4}. Give prob of sequence sluu.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 8:09 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 56 - 1528\nAnswer: -1472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 0*n + 303 = 3*n, 4*n = -j - 81. Let o = -775\/8 - j. What is the common denominator of o and 9\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -611.886 - 0.114. Let j = z + 611.999997988. What is j rounded to seven dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -17) + (-43 - -27) + -35.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*h + 225 = 34*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, h: 1, b: 1, i: 1, f: 6}. What is prob of sequence fh?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99607.\nAnswer: 99607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*j + 35 - 31 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + 1a8a?\nAnswer: 1a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 233*i + 4388. Determine n(-21).\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 27\/(-18)*28\/(-3). Suppose 0*u - 2*u + 5*m = -25, 4*u = -2*m + q. What is u rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/7, -0.3, 2\/7, 230, -6191, -0.1?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 33363 = -236203. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.64308 litres to millilitres.\nAnswer: 8643.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-6)*o\/(o**(-1\/3)\/o)*o)**(1\/8))**(-2\/13) assuming o is positive.\nAnswer: o**(2\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20.59996218 - -20.6. Round o to six dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 divided by -59?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-64)\/5 - 10\/50. Let c = d + 24. Solve -5*g + c + 4 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 22*l**2 + 18*l - 59. Let q(o) = -o**3 + 2*o - 21. Let c be q(0). Let n be k(c). Solve -n*g - 9 = 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hshhhshhsh.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*b + 1. Suppose -5*t + 2 = -b*a - 204, 0 = -4*a + 8. Let m = t + -8. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 times 690\nAnswer: -3450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -93126*j**3*v**3 - 45*j**3*v**2 + 2*j**3 - j**2*v**3 - 1752*j**2*v**2 - j**2*v + v**2 + 99*v wrt j?\nAnswer: -558756*v**3 - 270*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2075*d**2 - 6037*d**2 + 5 + 1552*d**2 as i + n*d + x*d**2 and give x.\nAnswer: -2410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 22447577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1783 - 1744. Calculate the highest common divisor of 988 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 + 3*w**2 + 2*w + 1. Let u be 6\/3*(-6)\/(-4). Let s be h(u). Let g(d) = -d**3 + 6*d**2 + 8*d - 4. What is the units digit of g(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 + 4*q - 5. Let y be x(-5). Suppose -3*k = -y*k - 21. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -9*i + 1446935. Suppose 3*s - z = -i, 2*s + 3*z = -s - 206685. What is s rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 282656619 divided by 1.\nAnswer: 282656619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1561*g*h**2*q**3 - g*h**2*q**2 + 14*g*h**2 - g*h*q**2 + g*q**3 + 90860*h*q**3 wrt h?\nAnswer: 3122*g*q**3 - 2*g*q**2 + 28*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8380 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the second derivative of z**3\/3 - z**2 - 5*z. Suppose -4*k - 2*j + 20 = 2*j, -5*k + 5*j = 5. Calculate l(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -6*x - 7 + 5*x + 9*x. Let p(z) = -z + 1. Let s(g) = 2*m(g) + 14*p(g). Let i(r) = 2*r**2 - r**2 - 2*r**2. What is s(i(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 5*i = -240, -8*x + 5*x = 4*i + 116. Let r = x + 172. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -115 divided by 5.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -6*s**2. Let x(m) = -101*m**2. Calculate x(u(j)).\nAnswer: -3636*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2243*n**3 - 1710*n**2?\nAnswer: -13458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 36 + 222. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -938136 divided by -469068?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**2 + 59*r + 184. Determine c(52).\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 531 is divided by 31.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -76 - (607 - 666)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 2) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16 - -16) + 1 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q. Let c be z(-3). Let r = 6 + c. Let i = 14 - r. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from nrnrnnrrnrrrnrnnnnrn?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - ((-47 - -14) + 13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 8*s**3 - 2*s + 5*s - 2 + 12*s**3 - s**3. Let r be i(1). What is the greatest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 2*d = -14, -6*d + 5 = -7*d. Let g(p) = p + 4. Let y be g(i). Solve -l + 3*a + 11 = 0, -5*l + y + 2 = a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 61, 121, 211, 343?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from ffvzf.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (14 - 14 - 6*x)*(x - 6*x + 2*x) as q*x + i*x**2 + o and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -431 (base 6) in base 3?\nAnswer: -20001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 11 + 644d?\nAnswer: 645e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8100 + 8102. Which is the fourth smallest value?  (a) 585  (b) -3  (c) t  (d) -4\/5  (e) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (388\/3 - (-1)\/(-3)) + -1. Solve 123*f = q*f - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3248*g**5 - 33*g - 124 wrt g.\nAnswer: -64960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 731, -2, -1, 2, -4 in descending order.\nAnswer: 731, 10, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {b: 1, p: 1, t: 8, m: 1, w: 2, h: 1}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of f**5\/10 + 3*f**3\/2 - 3*f**2. What is the first derivative of i(k) wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39538650 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -34*c + 36*c. Suppose -h - d + 118 = -0*h, 5*h + c*d - 592 = 0. Suppose h = 5*g - 396. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 3*k**2 + 0*k**2 + k + 5*k + 4*k**2 + 0*k. Let w be 3\/12 - (-34)\/(-8). Let s(n) = -8*n**2 - 6*n. Let y(o) = w*s(o) - 5*i(o). Factor y(a).\nAnswer: -3*a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 378837 is divided by 38.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2028 is divided by 83?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -849\/22 + 408\/11. Sort 3\/5, 1.3, -14, o in increasing order.\nAnswer: -14, o, 3\/5, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-2*(sqrt(180)\/sqrt(10) - 1*sqrt(8)\/sqrt(4)))**2 + -4)*-2.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + 11110011100010011000?\nAnswer: 11110011100010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 125\/1414014 and 16\/168335.\nAnswer: 7070070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/306 and -139\/36?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**2\/2 + 10551*d + 12329880.\nAnswer: 3*(d + 1480)*(d + 5554)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.04 - 2.04. Which is the third smallest value?  (a) w  (b) -0.2  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 876.1318g to kilograms.\nAnswer: 0.8761318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 59150 = -11*i, 2 = -3*y + 11. What are the prime factors of i?\nAnswer: 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30001332213 (base 4) to base 2\nAnswer: -1100000001111110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -3*s**2 + 8 + 6*s**2 - 256*s + 260*s. What are the prime factors of r(-5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - g + 19 = 0, b + 5 = 4*b - g. Let i(v) = v**3 - 2*v**b + v - 4*v**2 + 0*v**2 + v**2 + 3. Let o be 2\/5 + 17\/(-5). Give i(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7143, 22103, 47037, 81945, 126827, 181683, 246513?\nAnswer: 321317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.96 + -0.08?\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/((sqrt(320) - (sqrt(320) - (sqrt(320) + sqrt(320) + (sqrt(320)*-1 - sqrt(320))))) + sqrt(320)) + -4*sqrt(6)\/(sqrt(14)\/sqrt(7)) + 0)**2.\nAnswer: 675\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 - 10*m**2 + 63*m - 7. Give b(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 3*o - 814 = 0, 2*o = 5*i - 376 - 435. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9*o**4*t + 4*o**4 - 2*t + 1 wrt o?\nAnswer: 36*o**3*t + 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**2\/7 - 7491*t\/7 + 12780.\nAnswer: 3*(t - 2485)*(t - 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(3\/7)\/(z**(-3\/2)*z*z))\/(z**(2\/5))**(-5\/14))\/((z\/(z*z**(-2)*z*z))**(1\/30)*z**0*z**4\/z) assuming z is positive.\nAnswer: z**(-41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from {t: 1, c: 1, w: 2, r: 1, e: 5}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25 + -52. Let x = d + 27.000011. What is x rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*b + 30 = 4*b + 8 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 2) + -29 - (16 + -26)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 12) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*a + 10 - 31*a - 37*a - 10.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {n: 1, p: 2, j: 2, e: 5, o: 10}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from inniifn. What is prob of picking 3 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**2 - 3*i + 1. Let b be d(1). Is b at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - i + 2*i = -270, -v - 4*i + 144 = 0. Suppose -9*u + 98 = -v. Suppose -4*w + 10 - u = 0. Sort -1, -5, -3, w.\nAnswer: -5, w, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10365689*k**3 + 33*k**2 - 2322 wrt k.\nAnswer: 62194134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of x**5\/30 - 3*x**2\/2 + 2*x. Let u(i) be the first derivative of c(i). Let n(k) = 3*k**2. Determine u(n(l)).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6121317 and 222.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1260) + -1*sqrt(1260))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven fifths of a millennium in decades?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -242 + 975. What are the prime factors of m?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 4*l - 20 = 0, 10 = -2*u + 2*l - 4*l. Are u and -2\/33 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 - 15*b**2 - b + 16. Let g be a(15). Let u(m) = 432*m - 5. What are the prime factors of u(g)?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 + 10. Let r be (-2 + (5 - 3))*(-1)\/2. Differentiate z + r - c + 5 wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/1)\/((-17)\/(-34))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j**2 + 8*j - 29. Let o be a(-7). Find the second derivative of -o*n**2 - 17*n**2 + 5 + 8*n - 18 + 3 wrt n.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 74 in -3, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -35.3 - -31.3. Which is the smallest value?  (a) i  (b) 19  (c) 1  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-38)\/16 - (-13 + 11). Which is the nearest to -0.3?  (a) 0.5  (b) z  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 60 and 75.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of b**3 - b**2\/2 - 23. Give m(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m + 10*m - 6 = 0. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 143  (b) -2  (c) 9.59  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 325822, 651615, 977408?\nAnswer: 1303201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 e, and 1 b when three letters picked without replacement from {n: 2, b: 2, e: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9.2 + 6. Let w = -3 - b. Let d = 4.8 - 0.8. Put w, d, 0.5 in descending order.\nAnswer: d, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -259 (base 11) in base 7?\nAnswer: -615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 126588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -5. Let k = -7.59 + 3.59. Which is the third biggest value?  (a) k  (b) r  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x - 1. Let j(l) = -3. Suppose q = 4*q - 9. Suppose -11 = -5*v - 4*h, 2*v + q*h = v. Let r(i) = v*p(i) - j(i). Let k(w) = -w. What is k(r(n))?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yl when two letters picked without replacement from vxyhvlxxvyva?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 76 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/(-60)*30\/(-48)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*d - 10*d - 6*d = 27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**15)**6\/(s**(-11))**(-3\/2) assuming s is positive.\nAnswer: s**(147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4124911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 3*b**2 - 428*b + 11771. What is d(32)?\nAnswer: 1147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 4*f = -4*l + 9, -1 = -3*l - 5*f. Suppose 5*g + 3*m + m = 199, 2*m = l*g - 76. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*p + 35*p - 38*p + 1 - 1.\nAnswer: 17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 10*u - 6*u. Let r be (-4*3\/u)\/6. What is the nearest to 0 in -1, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -16 in -4, -4.6, -0.6, -1?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 123162 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 610*r + 262*r - 279*r**2 + 4228*r**2 - 872*r.\nAnswer: 3949*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 24*f - 32*f. Suppose f*a = -k - 1146 + 4268, -4*k + 12481 = 5*a. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 17 = 4*u, 0 = -3*y - 2*u - 2 + 21. Let n be 2 - ((-24)\/y)\/2. Let x = 8 - n. Solve p = -p - x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (-7 - (1 + (-9 - -6)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37 divided by -2.\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1\/621 - -2137\/1242. Calculate the common denominator of (20736\/(-390))\/8 + 2\/(-13) and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-4) + (-6)\/((-60)\/35). Let w be f\/(-6)*(-36)\/((-3)\/(-3)). Suppose 4*s + w = -78. Which is bigger: -25 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**3 - 5*z**2 - 2*z + 4. Let q be t(-2). Let x = 10 + q. Solve -5*m + 9 = o, -o = -2*m + o + x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 10 = -2. Suppose -28 - a = -4*h. Suppose -5*t + h = -3*t. What is the remainder when 6 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 + 6 + 9 + 208*d**2 - 101*d**2 - 104*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 149) + (63 - 6) + (-37 - 2)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (-3 + -2)) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 30 = 74. Let l(y) = -y**3 - 9*y**2 + 20*y - 11. Does 6 divide l(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - x + y = -18, -x = 4*y - 12. Are 4 and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**2 - 18*w + 37. Let b be f(15). What is the common denominator of 54\/(-80) + b\/48 and 25\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/12 and 37\/66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 + 11*k**2 + 10*k + 17. Let w be q(12). Sort -1, 3, -4, w.\nAnswer: w, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 13664 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-8\/5)\/((f*f**(-20)\/f)\/f))**2)**(-28) assuming f is positive.\nAnswer: f**(-5432\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five eighths of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002047198208 to 7 dps.\nAnswer: 0.0020472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 - 27*s - 19. Let c be m(-26). Suppose 2*h + c*h - 423 = 0. Calculate the remainder when h is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, -6, 5 in descending order.\nAnswer: 5, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 122*a - 127*a - 40 = 0, -4*a - 4 = -3*q - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 7) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2*d + 3. Let o(n) = n - 1. Let b be o(5). Let s = b + -2. Suppose -s*z - 6 = 2. Give u(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of -4*f**3\/3 - 3*f**2\/2 - 400. What is s(-3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 11:03 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 + -18. Suppose v = -15*p + 13*p + 4. Suppose p*u + 342 = 4*x, -2*x - 4*u + 169 = -3*u. What is the greatest common factor of x and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44661 is divided by 163?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 27.6851 tonnes in nanograms?\nAnswer: 27685100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/5)\/((-26)\/65*-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11667713 (base 10) to base 12.\nAnswer: -3aa8195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 9)*(-2 - i + 2) - 3*i - 5 + 5.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -119, -253, -401, -569, -763, -989?\nAnswer: -1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -147 + -3. Round s to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 PM and 11:58 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pmmimipppphpnimpn. Give prob of sequence pi.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/14 and ((-1 + 11)\/((-8)\/(-10)))\/(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*t - 44*t = 2*y - 18, -31 = -5*t - 3*y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 AM and 8:16 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 85 = -5*x, 0*r + 47 = 3*x + r. Suppose 2 = 3*p - x. Let s = p + 22. What is the highest common factor of 42 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 23*v**2 - 4*v - 12. Let y(s) = 19*s**2 - 4*s - 10. Let d(r) = 5*m(r) - 6*y(r). Calculate d(-9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-801)\/117 - -7 - 3\/(-65)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20455\/176 - -1933\/16. What is the common denominator of i and -7\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -n**5 + 52*n**4 - 686*n**3 + 3332*n**2 - 5145*n = 0.\nAnswer: 0, 3, 7, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k - 4 = -18. Solve 2 = k*y + 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/u**(2\/5)*u*u*u**(2\/79)*u*u*u*u**15*u*u*u**(-4\/7)*u assuming u is positive.\nAnswer: u**(63744\/2765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 25 + 16 + -20 + (2 - 5) - -6\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -5*f**3 + 180*f**2 + 187*f - 322. Give a(37).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*m**2 - 7*m**2 + 0*m**2 - 32 - 4*m**2 as n*m**2 + y + x*m and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 366 - 2229 - 597 - 1207 + 8166*a with respect to a.\nAnswer: 8166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -417 divided by -139.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3694c - -6?\nAnswer: 36953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.3905, 2\/5, -0.02, 1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9432664?\nAnswer: 2, 19, 62057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 208374381 to the power of 1\/2, to the nearest integer?\nAnswer: 14435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + 0. Suppose 0 = -m*u - u + 18. Let s be 28*((-45)\/21 - -3). Calculate the greatest common divisor of u and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 11) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1091, 4441, 10093, 18107, 28543, 41461?\n\"Answer: 10*m**3 + 1091*m**2 + 7*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 565 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 5*i - 285 = 0, 2*d - 5*i = 4*d + 121. Let j = 61 + d. Suppose 0 = -3*h + 2*c + 22, -2*c - c = 2*h + 7. Solve j + 13 = h*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -766 + 766.8. Let n = -28 + 26.9. Let k = l + n. Which is the smallest value?  (a) -1.9  (b) -4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-32)\/(-10) + 58581\/4245\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 25\/41, 9, 4, -0.3, -8, 2\/3 in descending order.\nAnswer: 9, 4, 2\/3, 25\/41, -0.3, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 + 62*g**2 + 282*g - 118. Determine f(-57).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-4) + 2\/20. Let b = -127 + 1141\/9. Let q = 3.2 + -3.7. What is the smallest value in q, b, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/35 and 62\/685.\nAnswer: 4795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 2*c = -39. Suppose 0 = -4*a - 2*k + k + c, 21 = -2*a + 5*k. Differentiate -11 + 9*v**2 - 8*v**2 - 18*v**a wrt v.\nAnswer: -34*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 2*k - 14 = 4*k, -578*u + 583*u + 2*k + 14 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 8, 2\/5, -5, -1559, 0 in decreasing order.\nAnswer: 8, 2\/5, 0, -2, -5, -1559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 95 and 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 + 3\/(-3) + 2 + 2. Suppose 3*t - z*s - s = 171, -3*s + 189 = 3*t. What is the remainder when 296 is divided by t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*p**2 + 24 - 45*p**2 - 72*p**2 - 7*p**2.\nAnswer: -108*p**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1*33*(-34)\/(-106590)\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 3*g = -o - 55, -4*g - 2*o = -58. What is the biggest value in 4\/5, -0.5, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-w + 2*w + 0*w)*(2 + 1 - w - 5*w) as j + t*w + a*w**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-2\/3)*w**(-1\/2)*w**0*w**(-1\/4) assuming w is positive.\nAnswer: w**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 + 3*d - 9. Let v be k(-7). Solve p - v = 4*s, -3*s + 2*p = 10 + 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -v - 4*x + 25, -3*v = 4*x - 26. Suppose -l - 79 = -v*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4132213?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 302*b**5 + 2614*b**3 + 7861896*b wrt b?\nAnswer: 6040*b**3 + 15684*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of r**4\/4 + 8*r**3\/3 + 7*r**2\/2 + 2*r - 1. Let j be o(-7). Suppose z + j*z - 24 = 0. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54084749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-18))**47 assuming o is positive.\nAnswer: o**(-846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 294 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5485, -22374, -50689, -90430, -141597?\nAnswer: -204190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -62 - -63.46. Let h = -0.16 + o. Which is the closest to h?  (a) 4  (b) 5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14405 (base 8) to base 2.\nAnswer: -1100100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 7038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a decade in years?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -47093\/63 + 2242\/3. Let f = m + -1\/9. Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:29 AM and 2:29 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**3)**(-10\/11))**(-21\/5)*(w**(-2\/9)\/w*(w**(1\/7)*w)\/w)\/((w*w*(w**(-1)\/w)\/w)\/w*w*w\/w**(-2\/7)) assuming w is positive.\nAnswer: w**(6992\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2032*x = 2033*x - 1. Let t be (-2)\/(-2)*148038\/282. Let a = -525 + t. Is a greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*p + 27. What is the units digit of ((-16)\/(-56))\/((-4)\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - -0.1. Let p = -0.1 - 3.9. Let k = p + -1. What is the closest to s in k, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**2 - 25*f + 12. Determine b(7).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*o = -123 - 21. Suppose -3*q - o = 4*v - 43, -10 = -2*q. Find the first derivative of -64*d + 32*d**v + 64*d + 17 wrt d.\nAnswer: 128*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/((-54)\/(-15) - 3). Suppose y*z = -4*m + 32, -3*z + 0*z = -4*m. Solve -m*w = -4*w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -4. Let n = z + -2.8. Let d = 10.9 - 6.9. Which is the nearest to -1?  (a) n  (b) -2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -38*k - 13 + 22*k - 2 - 11*k**2 + 4*k + 10*k**2. What is b(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 3*c**2 + 21*c - 2. Is r(-9) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 179517 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*4*4\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.02625587 - 0.02623. Round g to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from akakkkkaakaka. Give prob of sequence aa.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 855 - -1556. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14861966?\nAnswer: 2, 7, 1061569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1))**36\/((i**(-3)*i)\/((i*i*i**(4\/5))\/i))*(((i\/((i*i**(-1)\/i)\/i))\/i)\/i**(-1\/3))\/(i**(-1\/3)*i**(-2)*i) assuming i is positive.\nAnswer: i**(-428\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 4*v + 76528, -n - 11*v = -10119 - 15304. Is 75 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 7, g: 2, t: 7}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -565*j - 22 = -563*j - 4*u, 4*j + 4*u - 4 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 - 6*o**2 + o + 3. Let s be -6*(-1 + (3 - 3)). Let q be j(s). Calculate the greatest common factor of 81 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v**5\/3 - 12407*v**4 + 346518152*v**3\/3 - 1038648940*v**2 + 923155296*v = 0. What is v?\nAnswer: 0, 1, 8, 18606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 601*d - 598*d + 3*w - 30 = 0, -2*d - 8 = -2*w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/6, 3, -382?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -5011\/29811?\nAnswer: -5011\/29811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of s**4\/4 + 25*s**3\/3 + 143*s + 55. Differentiate l(c) wrt c.\nAnswer: 3*c**2 + 50*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m**2\/9 - 8*m\/9 = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 124145891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 187 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-175)*273)\/(6\/10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -68*f + 583. List the prime factors of b(-55).\nAnswer: 3, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -51b + 1840?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -969, -970, -973, -978, -985, -994, -1005?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 48095743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 - -2. Differentiate 7*x**2 + 0*x**2 - y*x**2 - 4 - 8*x**3 wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (33\/(-165))\/(4\/10)*0. Solve h = -11*b - 78 + 56 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of 9\/16*m**2 + 0*m - 11\/8*m**3 - 3\/8*m**4 - 36. Suppose o(g) = 0. Calculate g.\nAnswer: -3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2))**(1\/14)*v**(-1\/3)*v*v**(-2\/5)*v assuming v is positive.\nAnswer: v**(118\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 198, 942, 2194, 3966, 6270?\nAnswer: 9118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -195*h = -193*h - 46. What is the second derivative of -252*v**3 + 252*v**3 + h*v**5 + 10*v wrt v?\nAnswer: 460*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of d**4\/6 + 296*d. Let a(z) = 554*z**2. What is u(a(t))?\nAnswer: 613832*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (6 + 0) - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a + 8*a**2 - 1399 + 1399 + a.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1423 + -636. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -6*q - q**3 + 11*q - 6*q - q + 6*q**2. Suppose h - 20 = -3*h. Calculate r(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 911925.9 grams?\nAnswer: 911.9259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 198\/(-77)*(-35)\/(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 1:53 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 385892310?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 18262*w. Let t(u) = u**2. Calculate t(m(h)).\nAnswer: 333500644*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -3\/20, 5\/24 in ascending order.\nAnswer: -3\/20, 5\/24, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-11 - -9)\/((-4)\/6) + 1659997. What is w rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 62*n**2 + 2*n - 5*n - 9*n + n**3 + 0 + 5 - 55*n**2 to the form i*n**3 + p*n**2 + h*n + w and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (2 - -5) - (-802 - -806).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-1 + (sqrt(704) + 2 - sqrt(704)) + 3)**2 + 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*a**2*l**3*w - 490*a**2*l**3 + 2*a**2*l*w - 2*a*l**3*w - 3*a*w + 4*l**3*w - 45*w wrt a?\nAnswer: 10*l**3*w - 980*l**3 + 4*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 132*z + 607. Let o be w(-5). Are -25 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1001120001 (base 3) in base 12?\nAnswer: -1006a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 31625 and 172928375.\nAnswer: 2875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*i**3 + 635676*i**2 - 60*i - 49340544 wrt i.\nAnswer: -6*i**2 + 1271352*i - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 32 = 7*b. Suppose 0 = 5*m + 2*i - 60, -30 = -b*m + 3*i - i. Suppose 0 = -8*p + m*p - 6. Solve 0 = 5*u - 0*u - 4*g + 20, -p*u - 2*g = -10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -385.6 and 16.5?\nAnswer: 402.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 795.58505 rounded to 1 decimal place?\nAnswer: 795.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 3*d - 4 + (2 + 1 - 1)*(-2 + 2*d + 2) - d + 1 - 1 + 0*d - 2*d + 6*d + 3*d + 2 - 2)*(-7 - 68 + 9).\nAnswer: -858*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48150.\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 5*l + 10039, -3*u + 30182 = -1174*l + 1176*l. What is the greatest common factor of u and 518?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 61 = -179. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 2 - 6)*(-8*h - 6*h**2 + 8*h)*(3 - 3 - h**2).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iisipiqziqapsiqiisqs. Give prob of sequence szia.\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, 2\/11, -4696, 3, -3, -2\/3, 116?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (3 + 3 + sqrt(76) - sqrt(76)) + -1)**2 + 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the third derivative of -d**6\/120 + 5*d**5\/12 + 17*d**4\/24 - d**3\/3 + 14*d**2 - 2. Find the second derivative of a(t) wrt t.\nAnswer: -6*t + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 377893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 50589347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42735 divided by 8547.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15\/4*w + 3\/4*w**2 + 9\/2.\nAnswer: 3*(w + 2)*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3372 + -10)\/41 + -44.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 5 = 29. Let q(f) = f**3 - 8 - 9*f + 5*f + 8*f**2 - 4*f. Calculate the remainder when q(x) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -294*i + 265*i = 232 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5\/2  (b) 9\/2  (c) -6.6  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 429 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 - 6*n**2 + 3*n + 10. Let t be h(-7). Let u be (-7657)\/t + (-2)\/4. Let q = 284 + u. Is 26 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 12) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 42 + (-84 - (-21 + 62)) + -47.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 2*w**3 - 9*w**4 - 11*w**4 - 2*w + 16*w**4 as z*w**2 + y*w**4 + x*w**3 + u + l*w and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12009442*k**2 + 2 - 2 + 3720735*k**2.\nAnswer: -8288707*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 5  (b) 2.7  (c) -1  (d) -185.7  (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.653733 * -0.4.\nAnswer: -1.4614932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 + 18 + -2 - -48.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-3)*(18\/40)\/((-1)\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {r: 5, i: 4, q: 6}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1646024390073 and -0.01.\nAnswer: -1646024390073.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 473145 and 473129 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 1238 = -3*b + 2*u, -3*b + 1263 = 3*u. Is 52 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w**(-26)\/w))**(-7))**(-1\/21) assuming w is positive.\nAnswer: w**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 175 and (-9711)\/(-39) + 3\/3.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h - 9*h + 5 = 0, -5*h - 945 = -5*u. Let n = 309 - u. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77) + (sqrt(77) + (sqrt(77) - (sqrt(77) + 1*sqrt(77))*-3) - sqrt(77)) + (sqrt(77) + -1*sqrt(77))*-2)\/(sqrt(1575)*-1 - sqrt(1575)).\nAnswer: -4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 6. Suppose 3*v - 10 = -g*v. Calculate the least common multiple of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -0*f - 4*p - 1155, 5*f - p = 1170. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30 + 126. Suppose -4*y - 860 = 4*u - 9*u, u - k = 4*y. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 200736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(7) - (-1 + sqrt(7) + 0) - (sqrt(7) - sqrt(175)*1))**2.\nAnswer: 8*sqrt(7) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 - c**2 + 3*c + 3. Let w be j(0). Suppose 119 = w*p + 5. What is the greatest common divisor of 95 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 3*m + 24, 3*r - m + 3 = 17. Find the second derivative of 2*i**2 - 4*i**5 - 4*i**5 - 8*i + 5 + r + 10*i**5 wrt i.\nAnswer: 40*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-388072)\/(-555795) + (-2)\/3 and 85\/138.\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 860 = 172*t - 688 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (5\/(-15))\/(1\/(-3)). Let t = 2928 + -32176\/11. Let o = -202\/77 + t. Which is the closest to z?  (a) 1  (b) -1  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 804808442 to the power of 1\/2, to the nearest integer?\nAnswer: 28369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 941 - 949.2. Let h = v + -33.8. What is the fourth smallest value in -4, h, -1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28*l**3 + 180*l**2 - 324*l + 108.\nAnswer: -4*(l - 3)**2*(7*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -12*s**3. Let n be m(1). Let q be 1\/2 + (-390)\/n. Calculate the highest common factor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 times -0.18891\nAnswer: -0.0056673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 take away -502219?\nAnswer: 502345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32248472 to the nearest integer?\nAnswer: 5679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/9 - 75\/(-27). Which is the closest to -1?  (a) n  (b) 0.1  (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1080 = 5*l + 2*l - 1087. Solve t + 3*d - 9 = 0, -3*t + l = -4*d + 13 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 621*u**4 + 2*u**3 + 71*u**2 - 34*u - 5623?\nAnswer: 7452*u**2 + 12*u + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 101, 6, -14.7, 0.2?\nAnswer: -14.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, 30, 91, 186, 321, 502?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**13*w*(w\/(w**(-1\/41)\/w*w))\/w assuming w is positive.\nAnswer: w**(575\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-1\/7)\/n*n**(-1\/20)\/n*n**(-1\/7)\/(n**(-11)*n) assuming n is positive.\nAnswer: n**(1073\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-13)\/(-2)*(7 - 9). Let u = 15 + q. Solve 4*x + 3 = 7*x + 3*t, t - u = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -11*m + 2. Let y(s) = 2*s**2. Give y(r(h)).\nAnswer: 242*h**2 - 88*h + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = -4*v + 3*j, -5*v + 29 = 6*j - 2*j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 95*u**3 - 3*u + 46*u**2 - 93*u**3 - 16*u**2 + 33*u**2 to q*u**3 + v + c*u**2 + m*u and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 382*q + 3072 = 385*q. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -7*x - 5. Let j be s(9). Let p be j\/(-12) - (-2)\/6. Solve 2*n + 4*v = 3 + 3, p = -4*n + v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3102, -3144, -3186, -3228, -3270, -3312?\n\"Answer: -42*x - 3060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, p: 5}. Give prob of picking 3 p and 1 l.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 924?\nAnswer: -1\/462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 691\/6?  (a) -6  (b) 2\/7  (c) -294\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -9*y - 5. Let m(x) be the third derivative of -x**4\/3 - 2*x**3\/3 - 4*x**2. Give -4*d(r) + 5*m(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5161, 20508, 45897, 81172, 126177, 180756, 244753, 318012?\nAnswer: 400377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 1942 = -11556. What are the prime factors of l?\nAnswer: 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the first derivative of 17*x**5\/5 - 8*x**3\/3 - 17. What is the third derivative of n(j) wrt j?\nAnswer: 408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 + 5. Let s(h) be the second derivative of -h**5\/60 - h**3\/2 - h**2 + 2*h. Let m(v) be the first derivative of s(v). Give -3*i(t) - 5*m(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1d38b0 (base 14) to base 9.\nAnswer: -1865420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4.4 in 1.1, 0.6, -642?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - 1f300d?\nAnswer: -1f300c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*a + 14. Factor 41*m - 13*m - 13*m + a*m**2 - 12*m.\nAnswer: 3*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 123906 or 123830?\nAnswer: 123906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 - -393?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 20 = -2*s. Let f(b) = b**3 - 5*b**2 + 3*b - 11. Let i be f(s). Solve i = -0*a - a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1984.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 60*j - 235 - 245 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence puy when three letters picked without replacement from {u: 2, p: 1, y: 7, g: 7, x: 2}.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -46\/244905 and -13\/30.\nAnswer: 489810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - d - 6 + 0 = 0, -5*s - 60 = -4*d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 140 a factor of 1539296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 600737 or 600753?\nAnswer: 600737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1d1 + -38a2?\nAnswer: -36b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g + 16. Suppose -4*o + 15 = -m - 4*m, 5*m + 15 = 5*o. Suppose -z - z = o. Give n(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17 - -45. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.03, 0.04, 4, -4, 0.07?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 534594322 less than -101437?\nAnswer: -534695759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3278488?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/(220\/(-16))*250\/(-2700)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -3 + 3 + t**2 + 3 + t. Let q = -8 - -11. Suppose 2*z + 4 = 2*n - 2, q*n = z + 9. Determine m(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -53*t**4 + 44*t**3 + 36*t**2 - 7*t - 5. Let x(q) = -55*q**4 + 43*q**3 + 36*q**2 - 8*q - 4. Let n(v) = -4*k(v) + 5*x(v). Find b, given that n(b) = 0.\nAnswer: -2\/3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-5 + (-370)\/(-75))*3. Let w = -838 + 839. Which is the closest to 57?  (a) 5  (b) p  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = -8*i - 85. Let s = 60 - i. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -43*z + 347. Let i(r) = 15*r - 125. Let s(u) = -11*i(u) - 4*p(u). Give s(13).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-7) + 94\/(-84). Let p(x) = -7*x + 19. Let n be p(0). Let d = 20 - n. Sort i, d, -1\/4 in ascending order.\nAnswer: i, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-6*(-1)\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*u + 17*u + 4682 = 5*d, u - 1584 = -5*d. What are the prime factors of u?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + 3*t - 5*t)*(-76*t - 614658 + 614658).\nAnswer: 228*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (21 - (17 + 19)) + (143 - 77)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - 3*x - 60, -3*w - 2*x = 2*x + 65. Let y = -26 - w. Let g = 6 + y. What is the third smallest value in 0.5, g, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-244)\/16653)\/((-72)\/78).\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p + 3. Let f be a(0). Let x(o) = 5*o - 3*o + o**f + 4*o**2 - 4 + o - 4*o. Let c be x(-3). Solve -q - c = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o + 0*o - 5*o)*(-3 - 3*o + 3) + 3*o**2 + o**2 - o**2.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 36 + -56. Let k = 123 - 179. What is the units digit of (k\/p + -2)*30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 16*r**2 - r + 5. What are the prime factors of t(-3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -782 - 737*o + 367*o + 365*o + 784.\nAnswer: -5*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = r + 12. Is r\/((-12)\/176 - 0) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 543 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49062 divided by -6.\nAnswer: -8177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 5999 = 11*j - 13*j, -3*f - 14998 = -5*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 + 8*r + 9. Let s be c(-7). Let l(w) = w - 1. Let j be l(s). Which is bigger: 3 or j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**4 + 4*b**4 - 3*b**4)*(3 + 2*b - 3) + 231*b**5 - 2073 + 2073 + (b + 3*b - 3*b)*(-2*b**4 - 4*b**2 + 4*b**2).\nAnswer: 233*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1862075394?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -315 + 1838. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 155 - 35. Calculate the highest common factor of 192 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (5*(-3*sqrt(208))**2 - (sqrt(208) - ((sqrt(208)*1)**2 - sqrt(208))*5) - (-2*(-2 + sqrt(208))**2 - (3*sqrt(208) + 5)**2)).\nAnswer: 64*sqrt(13) + 12724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38208.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 231116 at least 231133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4209915?\nAnswer: 3, 5, 43, 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -0*g - 44. Let c = -7 + g. What is the smallest common multiple of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 8*u**2 + 5*u - 14. Let r(q) = q**2 + q - 1. Determine -d(m) + 6*r(m).\nAnswer: -2*m**2 + m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 343958889 or 343958887?\nAnswer: 343958889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - 89 - -72) + 0 + 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -111\/88 and 75\/286.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -2*v + 3. Let u(f) = 3*f - 3 + 4 - f. Let x be u(2). Give m(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 5352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 484 divide 207152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4550.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 11 = -4*p, -p = c - 2 - 4. Suppose 5*r - c = 4*b, -4*b = r - 15 + 4. What is the second smallest value in 4, r, -1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/33 - 13\/11. Let x be w\/(0 - (-10)\/(-4)). Suppose 0 = l + l. Which is smaller: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(272)*1 - (-4 + 0 + sqrt(17) - sqrt(17)) - (-4 + ((sqrt(17) - sqrt(68)) + -4 - sqrt(17))).\nAnswer: 12 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 203 + -126. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(833)*-1 + sqrt(833) - sqrt(833))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 267 + 134 = -112*j - 159 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 223652294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*r**2 + 9498*r - 15 - 9496*r + r**3 + 4 + 22 to l*r**2 + f*r + x + n*r**3 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3435, -13711, -30911, -55095, -86323, -124655, -170151?\nAnswer: -222871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 6  (b) 0.065  (c) 0  (d) 0.4  (e) -15908\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 26199992 = -4*u, -4*y + 3*u + 26199994 = -0*u. Round y to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -1. Let n(c) = -7*c + 1. Let f(r) = 5*m(r) + n(r). Let u be f(-4). Suppose -5*a + 16 + u = 0. Solve 3*o - a = 7*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/6*17)\/((-17)\/(-51))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 46699 + -46665. Which is the nearest to -0.1?  (a) q  (b) -2\/9  (c) 0  (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -15*b**3 - 4*b**2 - 7*b - 18. What is the remainder when h(-3) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 514, 525, 536?\n\"Answer: 11*v + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -151 + 153. Let m(r) = -r + 87 + r - 84 - 5*r - r**a. What is m(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 116*v - 7268. Give x(63).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -6 - -7 - (-1 + 2 - 6). Suppose 0 = -u*c + 11*c - 50. Solve -2*n = j + 3*n + 30, 0 = j - 3*n - c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 - t + 19. Let f be z(0). Let o(n) = n**2 - 7*n + 1. Let b be o(4). Let r = b + f. Which is bigger: r or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*f + 31*o - 32*o - 14, 242 = -4*f - 39*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 47 = 4*a - 5, 4*p = -2*a. Let w(c) = -c**3 + 7*c**2 + 8*c + 12. Let f be w(a). Solve 3*r + r = f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -60 + 88. Suppose -21 = -5*k + 6*k. Let d = k + a. What is the greatest common divisor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -110\/79 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -155 (base 10) to base 14.\nAnswer: -b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 590*x**2 - 40695*x - 1035.\nAnswer: 5*(x - 69)*(118*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kokkokokktkkokkoo. What is prob of sequence kot?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 5*m - 220, 3*m - 114 = -2*t - t. Suppose 0 = -8*b + 231 + m. What is the greatest common factor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.062  (b) 12  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*y + 4*s - 244, 0 = -5*y - 5*s - 903 + 1218 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58.37222 millilitres to litres.\nAnswer: 0.05837222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/8 + (-38 + 496\/10)\/((-24)\/15)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 36*p**3 - 3*p**2 - p + 2. What is c(-1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - p = 35, 10 - 1 = -k + 2*p - 0*p - 9 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 + 4*g**2 - g - 7. Let k = -4 + 0. Let j(h) = -h**3 - 5*h**2 + h + 8. Let d(i) = k*c(i) - 3*j(i). List the prime factors of d(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 42 + -24. Let x = 26 - q. What is the highest common divisor of x and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18457994.\nAnswer: 2, 9228997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*g**4 + 168*g**3 + 1504*g**2 + 4440*g + 3100 = 0. Calculate g.\nAnswer: -31, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 83 + -28. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9634 divided by 3198\nAnswer: 4817\/1599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -14*n - 1. Let d(u) = -5*u. Calculate 7*d(c) - 2*m(c).\nAnswer: -7*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-1))**(2\/153))**(-2))**(-22) assuming c is positive.\nAnswer: c**(-88\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 - (-62)\/(-6) - (-351512)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 874 divided by 43391\nAnswer: 874\/43391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/(9\/15) + 6. What is the hundreds digit of 146 - (12\/3 + j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 839192, 839194, 839196, 839198?\nAnswer: 839200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m**5 + 1650*m**4 - 58170*m**3 + 416800*m**2 - 614625*m - 1091250 = 0.\nAnswer: -1, 5, 30, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/13, 805, -1, -0.4, 2, 0.1, 1\/85?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82 = 11*n - 27 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -3*y + 8. Let b be o(10). Let f = -18 - b. Suppose -7*p + 3*p + f*t = -104, 3*t = -4*p + 125. Calculate the remainder when p is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 221836738 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1336115994 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 999.7409 litres to millilitres.\nAnswer: 999740.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**2 + 2. Let d be i(-2). What is the biggest value in d, -0.08, -2\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -10\/451 and -49\/84419.\nAnswer: 928609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -349  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(132)*-4 - -4*2*sqrt(132))*3)\/((sqrt(120) + 1*(sqrt(120) - (-2*sqrt(120) - sqrt(120))) + sqrt(120))\/(sqrt(640)*2 + sqrt(640))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 803067, 3212478, 7228171, 12850152, 20078427, 28913002?\n\"Answer: n**3 + 803135*n**2 - n - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1265*q**3 - 40*q**2.\nAnswer: -5*q**2*(253*q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 228\/(-48) + (-1)\/4. Let a(w) be the second derivative of 0*w**2 + 5*w - 1\/2*w**4 - 1\/2*w**3 + 0 - 1\/20*w**5. Determine a(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 67, 149, 245, 361, 503?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 3066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1947*y - 2814*y + 8744*y - 1970*y - 1979*y.\nAnswer: 34*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - 8*i**2 - 8*i + 1. Let a be s(9). Does 10 divide 942\/a + -1 + (-52)\/(-65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 + -58 + 11\/(-5) + 6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 - 10*t**2 - 8*t. Let u be s(-7). Calculate the lowest common multiple of 7 and (-1 + 20)\/((-13)\/u).\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -183*g - 45. Let u(n) = 95*n + 20. Let k(f) = -18*u(f) - 8*z(f). Let q(a) = 17*a**2. Calculate k(q(x)).\nAnswer: -4182*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*y + 746 + 88 = -405 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - -3. Suppose 2*l + 2 = y + u*l, 0 = 4*l + 4. Calculate the least common multiple of 18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 214961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 2*a**2 + 6*a + 4. Let q be n(-5). Suppose -95*h = -20*h - 8*h - 536. What is the greatest common divisor of q and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36 and 801756?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -13*h. Let j(u) be the second derivative of u**5\/60 - 2*u**2 + 9*u. Let y(l) be the first derivative of j(l). Calculate y(n(d)).\nAnswer: 169*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 443 is divided by 150.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (1 - (-395)\/10)*(14 - 8) is divided by 96.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -266 + 268. Is -550 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 45022297?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of 25*n**2\/2 - 25. Let h(y) = -8*y. Give h(u(k)).\nAnswer: -200*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/(-8))\/(((-1395)\/(-60))\/(-31))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1435*k**4 - 52*k + 6?\nAnswer: -17220*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hmll when four letters picked without replacement from {l: 1, m: 1, h: 1, f: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 909\/(-606)*(-10)\/3. Let b = -40 - -33. Put b, 3, r in decreasing order.\nAnswer: r, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 80\/60*(-6)\/(-4). Let w(l) be the first derivative of -2 + 0*l + 4\/15*l**3 - 1\/5*l**y - 1\/10*l**4. Factor w(t).\nAnswer: -2*t*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -4427 and -23\/62 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5041475 (base 9) to base 7.\nAnswer: 31550510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -207*t + 1513337*t**2 + 207*t.\nAnswer: 1513337*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -236 - 22. Let v = o + 711. Let f = 790 - v. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-72)\/30)\/((-1)\/(-5)). Let b be 3\/(-10)*-5*z\/90. Let w = -3 - -1. Sort b, 0.3, w, -2\/11 in ascending order.\nAnswer: w, b, -2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 132507256 and 895.\nAnswer: 662536280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s + 5*p = 3*s - 30, 3*p = 3. Let g be s - -4 - (4 - 3). Is -409*(3 - (8 + g)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + (-3)\/4)\/(14*340\/(-5712)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1376*g*k**4 - 5173*g*k**2 + 2*g + 24*k**5 + k + 2 wrt k?\nAnswer: -33024*g*k + 1440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-3\/11)*v*v**4*v)\/((v*(v*v**(-2\/33)\/v)\/v)\/(v\/(v*v**(3\/4)))) assuming v is positive.\nAnswer: v**(665\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 46620685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1152 + 1156. Let h(n) = 4*n - 11. Determine h(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5828 (base 11) to base 6\nAnswer: 55233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*s + 0*s + 3*s + (-s - 2*s + 6*s)*(14 + 55 - 37) to o*s + j and give o.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 508 at least as big as 479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j**4\/5 - 3*j**3\/5 + 3*j**2 - 17*j\/5 + 6\/5 = 0. Calculate j.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in -557\/25, -1, -5, -0.5, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 3*g + 3*o - 9, 5*g - 11 = 2*o. Suppose -20 = -4*n, -b - 2 + 13 = -g*n. Let j = 20 - b. Which is greater: -7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3295?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (1772\/19492)\/((-1)\/11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32132212 (base 4) to base 5.\nAnswer: 3344202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8322, -16642, -24962, -33282, -41602, -49922?\nAnswer: -58242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 - q - 2. Let u(a) = -a**2 + 7*a + 2. Let h be u(7). Let f be b(h). Solve 3*p + 4*i - 8 = -p, -5*i + 10 = f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 39 - 36. Let i(y) = -4 + 5*y**3 - y**3 + 3*y**2 + 0 - 2*y - w*y**3. Determine i(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d**3 + 639222*d**2 - 639222*d**2.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fourty-two fifths of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11310133102 (base 5) to base 3.\nAnswer: -220102011012011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = -5*t + 8*t + 9, -m = 3*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the second derivative of 2*k**7\/21 + 2*k**6\/15 - 2*k**5\/5 + 52*k. Let l(i) = 0. What is i?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 247 - 3?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven halves of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - x + 6214 = 0, 4*d + 248 = 2*x + 5222. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 16\/(-10)*(652\/(-8) - -4). Let u = p - 74. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60, -53, -46, -39, -32, -25?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9001 or 33.7?\nAnswer: -9001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 982 = 4*h - 2*m, -4*h = m - 946 - 27. Suppose 5*y - 334 = -h. What is the smallest common multiple of 22 and y?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/9)*l*(l\/(l*l\/(l\/(l**(-6)\/l))))\/l*l*(l**(-2))**(-12\/19))\/(((l**(-2\/3)*l)\/l**6)\/(l\/(l**2*l)*l**(4\/11))) assuming l is positive.\nAnswer: l**(24587\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxxo when four letters picked without replacement from {o: 5, l: 4, x: 4, e: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4896 and 4171752.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 2) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 67*h - 64*h - 19254. What is h rounded to the nearest one hundred?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 882\/(-4788)*(-8)\/(-6)*6\/(-14).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 47*h - 3. List the prime factors of q(2).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssxsxsxssxs. Give prob of sequence sxss.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 1:43 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 4, -0.4, 0.13, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 1 + 9. Let p = -12 + n. Let j(i) = -i**3 - 7*i**2 + 8. Does 5 divide j(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -15 - -26. Let c(z) = z**3 + 26*z**2 - 57*z - 36. Let a be c(-28). Let w(r) = r + 12. Let k be w(a). Solve 3*x + k = -b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**2 - 30*k + 22. Does 17 divide i(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4510 and -5151.9817005?\nAnswer: 641.9817005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-126)\/(-18))\/(2\/(-2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1264 and -0.5.\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 2 - 5 - ((-1 - -22) + -10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-28 + -2)*(-3)\/9. Calculate the highest common divisor of 20 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/5248 and -3\/118244?\nAnswer: 3783808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 56, -834, -2318, -4396, -7068, -10334, -14194?\nAnswer: -18648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 8:16 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 52731925, 210927706, 474587343, 843710836, 1318298185?\n\"Answer: 52731928*m**2 - 3*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3517801, 3517638, 3517461, 3517264, 3517041?\n\"Answer: -h**3 - h**2 - 153*h + 3517956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -248 + 366. Suppose -r - 2*s = -t, 11 = -2*r + 3*s + 219. Calculate the smallest common multiple of 14 and r.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1672 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -70*b**3 + 6*b**4 + 70*b**3 + (0*b + 0*b - b)*(2 - 2*b**3 - 2) + 0*b**4 + 2*b**4 + 0*b**4 + 117*b + 20*b**4 - 117*b.\nAnswer: 30*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2. Let b be l(-4). Suppose -3*p - 12 = 0, 5*r - b = r + 2*p. Let i = r + 5. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.11?  (a) -2  (b) 344  (c) -3\/7  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 354 divide 279240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 7.599818 micrograms?\nAnswer: 0.000000000007599818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nia when three letters picked without replacement from wnain.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1411 and 111.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.29 - 5.71. Let a = -5.902 + 0.002. Let l = a - h. Is l greater than 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-12)\/5)\/(-2)*-280. Let o = y + 1698\/5. Find m, given that -14\/5*m**3 + 0 - 4\/5*m - o*m**2 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (3 + 1 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**2 + 6*g + 2 - 4 - 1. Let a be 2\/(15\/6 - 2). Does 2 divide h(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 2*u**3 + 9*u**2 + 5*u - 1. Let j be b(-4). Is 688 + -4 + 3 + (-6 - j) a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 273 - 53*l - 550 + 277 + 6*l**2.\nAnswer: 6*l**2 - 53*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 289591?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from igoiggmiorxoxgi. What is prob of sequence rom?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/(-144)*4004\/(-21) and -13\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -22*x**2. Let u(k) = -97723*k - 3. Calculate u(n(h)).\nAnswer: 2149906*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 2*c - 0 - 1, -4*f + 4 = 0. Let o be 81\/12*8\/c. What is the highest common divisor of o and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 196550 and 2450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -227\/2613 + 2\/201. Suppose 5*g + 4*q = 21, -q - 1 = -g - 4*g. Is g smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of 3*j**7\/280 - 11*j**4\/24 + 4*j**3\/3 + 13. Let h(a) be the third derivative of b(a). Differentiate h(y) with respect to y.\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*5*((-4*sqrt(153)*2 + sqrt(153))*5 + (sqrt(153) - (sqrt(153) + (sqrt(153) + 1 - sqrt(153) - sqrt(153))))*-3*1)*6)**2.\nAnswer: -615600*sqrt(17) + 198846900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -2*h**3 + 3*h**2 + 8 - 2 + 3*h**3. Let g be 14\/(184\/(-48) + (-1)\/(-3)). Determine m(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91809.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18*h + 38*h + 11*h + (-2 + h + 2)*(5 - 2 - 1) + 93 + 63*h - 93.\nAnswer: 132*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2507 and 452203?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {l: 4, c: 3, x: 2, g: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (-2 + 1 + -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10301 + -21115?\nAnswer: -31420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -360, -375 in descending order.\nAnswer: 2, -360, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:20 AM and 10:34 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -19788 divided by -3\nAnswer: 6596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2*j**2 - 3*j**2 + 0*j**2 + j + 3*j - 3. Calculate m(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of 0*f**4 + 0*f + 1\/30*f**5 + 2*f**2 + 0*f**3 + 0. Let g(w) be the first derivative of -2*w**3\/3 + 1202. Calculate g(d(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of w**5\/60 + 3*w**4\/8 + 13*w**3\/6 - 4*w**2. Let z = -12 + 1. Is 13 a factor of n(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1 - 2 - 30\/(-42). Let h = 8 + -7.7. Which is the third smallest value?  (a) h  (b) p  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = t + 10. List the prime factors of (-24193)\/(-117) - t\/(-18) - 1.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 19478*q**2 - 38958*q**2 + 19470*q**2. Suppose 2*w + 5*i = -1, -i - i - 6 = 0. Let k(m) = 5*m - w*m + m. Give t(k(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2140 - 1734. What is the greatest common divisor of k and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, a: 4, w: 3}. Give prob of sequence aw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*j - 8*j + 12*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 0 + -1 - (-18 + 22)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -551444, -551447, -551448, -551441, -551420?\nAnswer: -551379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/159 or 11245?\nAnswer: 4\/159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 41 + 51 = 4*l, 83*l - 88*l = 5*s + 100 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 PM and 5:32 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -2243495\/66 smaller than -33991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -407.51 + 7.51. Let d = o - -399.02. What is d rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkw when three letters picked without replacement from hwokkookkhhwokk.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8060.89 millilitres to litres.\nAnswer: 8.06089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 3*y = -2*n - 11, 5*y - 37 = n for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18326?\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9587*p - 9587*p + 399*p**3.\nAnswer: 399*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17 - 2) + -24 + (-121 - -48).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1403 - 95 = 83*q + 328 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31322 (base 4) to base 14.\nAnswer: -478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 3  (c) -6734  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6 + -7 - (1 - (2 - -1)). Let s be (((-15)\/(-160))\/3)\/h. Is s greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -4*v + 3. Let k be i(2). Let w(b) = -17*b**2 + 7*b. Let p be w(k). What is p rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 391\/10166 + 1045\/(-130).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0811 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2804341*h**5 + 2*h**2 + 4*h + 459058 wrt h?\nAnswer: -168260460*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 16 + 2*y**3 + 2*y**4 + 2*y**2 - 8 + 7 as c + h*y**2 + n*y**4 + b*y + j*y**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24998789 is divided by 2986.\nAnswer: 2983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2615624 + -151?\nAnswer: 2615473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2224*n. Let y(a) = 7*a**2. What is b(y(f))?\nAnswer: -15568*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 2.26087ml?\nAnswer: 0.00226087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*j + 34*j - 875*j**2.\nAnswer: -875*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 642 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - -1. Let v be (0 - 0)*(-4)\/12. Suppose -5*u - 5*j - 5 = v, -12 = 4*u + j + 1. Which is the closest to k?  (a) -0.3  (b) u  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 16) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i**2 - 6*i - 33. Calculate t(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 15, y: 4}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*f**3 - 6*f**2 + 6*f**2 + (2*f - f + 0*f)*(-6*f**2 + 0*f**2 + 4*f**2).\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 8*o - 1. Let w(m) = m. Let y(h) = f(h) - w(h). Suppose 3*j + 1 = 4. Determine y(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tpwwwwwtwwwowo. Give prob of sequence opt.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the third derivative of 153*p**2 + 0*p + 0*p**5 + 187\/6*p**3 + 0 - 91\/120*p**6 + 0*p**4. What is the first derivative of m(q) wrt q?\nAnswer: -273*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -98 - -105. Let v be 42\/9*6\/o. Solve 8 = g - v*t, 2 = -3*g + 6*g - t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 1903 = -5*u, 3*u - 2*u - 389 = -2*f. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -2*t + 17*m - 21*m, 3*m = 5*t - 132. Put -3, t, -4 in decreasing order.\nAnswer: t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ggmrg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 21*c - 14*c - 11*c - c**4 wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + 2*d. Suppose -y = -d - 2. Factor -3*p - y*p**2 + 6*p**2 + 5*p + 2*p**3.\nAnswer: 2*p*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1833409 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 0 = -76*f + 93*f - b - 114, 0 = 6*f - 2*b - 2*b - 22 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 879 + -854. Find the third derivative of -12*i**5 - r*i**3 - 45*i**5 - 248*i**2 - 61*i**2 + 25*i**3 wrt i.\nAnswer: -3420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/212701272 and -119\/7596474?\nAnswer: 212701272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1601 divided by -1601?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 + p + 1. Let y(z) = -8*z**2 - 9*z - 5. Let d(w) = 16*w**2 + 19*w + 9. Let s(c) = -2*d(c) - 5*y(c). Calculate 4*s(b) - 28*t(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2146.90631 plus -3.007496?\nAnswer: -2149.913806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 AM and 9:01 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-405)*5*2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*k - 8*k + 4*k)*(2*k**2 + 3*k**2 + 8*k**2).\nAnswer: -208*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1141222369*t**5 + t**2 - 3*t - 23565914 wrt t?\nAnswer: 68473342140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 84 and 58002.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*r**2 - 31*r**3 + 4*r**2 + 43*r**3.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*z + 8 = -8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49179 + 15*g + 49179.\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9097 - 7760. Which is smaller: 1329 or m?\nAnswer: 1329","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53030 - 41671 - 72043 = -19*g. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (60\/(-80))\/((-5)\/(-28))*5.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(162)*1)**2.\nAnswer: 18*sqrt(2) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 1, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t = 6 + 2. Let m = -3217\/14053 - 2\/1081. Which is smaller: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 51 - 22. Let c(p) = p**2 + 10*p - 28. Calculate the remainder when o is divided by c(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2597849269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-4 + sqrt(847)))**2 + (-6*(sqrt(7) + -1 - sqrt(7)) - (-2 + sqrt(7) + -4)).\nAnswer: -1409*sqrt(7) + 13820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 5 - (2 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 4:29 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the third derivative of 3\/200*z**6 + 2\/175*z**7 + 0*z**3 + 0 + 1\/150*z**5 + 1\/336*z**8 + 0*z - 3*z**2 + 0*z**4. Factor l(b).\nAnswer: b**2*(b + 1)**2*(5*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 98 and 56?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -64, 3, -745 in decreasing order.\nAnswer: 3, -64, -745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 25\/4 of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:37 AM and 10:54 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = 4*i - 58, 37*l - 85*l - 86 = -38*l - 6*i - 22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/2*(7 + -1). Suppose b + k*b = 0. Let i = 244 + -243. Which is smaller: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/11 or -5691466?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 1\/2, 0, 2\/5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1446*y**2 + 726*y**2 + 733*y**2.\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 10*m**2 - 9*m - 26. Let i(a) = 2*a**2 - 26. Give 4*i(w) - x(w).\nAnswer: -2*w**2 + 9*w - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**3 - 5*c**2 + 3*c - 7. Let x be k(5). Suppose x*j - 21 = -5. Solve -44*f**3 + 33*f**2 + 29*f - 8 + 15*f + 38*f**j - 11*f**2 - 52*f**4 = 0.\nAnswer: -1, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -274297.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b - -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + -9 + 12 + (3 - -8) + -28?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 759*x. Let y(w) be the first derivative of -3*w**2\/2 + 1882. What is o(y(u))?\nAnswer: -2277*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 5*p**2 + 1. Let d(z) be the first derivative of -2*z**3 - z**2\/2 - 2*z + 2. Let x(h) = -2*d(h) - 3*o(h). Let x(l) = 0. Calculate l.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 674097 is divided by 29244.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 + 5*v - 4. Suppose 4*d + 15 = 7*d. Let r be o(d). Let t(l) = -l**3 - 8*l**2 - 8*l - 7. Let n be t(-7). Sort n, 11, r in increasing order.\nAnswer: r, n, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 489 is divided by 294?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1568*k**3 - 2 - 1569*k**3 + 2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 12241660 to the power of 1\/3, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -3763 (base 13) to base 3\nAnswer: -101202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, b: 2, m: 2, n: 4}. What is prob of sequence mnkm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10\/9?  (a) 7\/10  (b) -0.204  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 35 + -26. Suppose 8 + 0 = 4*s. Suppose 5*u - s*m + 4*m = -3, 4*u = m + 8. What is the greatest common factor of k and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 109554120 divided by 255\nAnswer: 429624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 32\/73, -0.1, 0.4, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 + 4*r**2 - 4*r - 1. Let f be o(5). What is the common denominator of 52\/143*f\/8 and -23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 - 31) + 205 + -239\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 2*t**2 + 3*t + 3. Let u(b) = -b**2 - 2*b - 2. Let l = 12 - 10. Calculate l*c(o) + 3*u(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12.958 - -0.782. Let u = -1.54 + l. Let s = -26.5 + u. Round s to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*y + 123*y + 2990 = -24*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = 4, 3*f - 2*l + 0*l = -4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 556?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 255546457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.606334, 3, -3\/5?\nAnswer: 0.606334","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5567, 4529, 1713, -3769, -12805, -26283, -45091?\nAnswer: -70117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 53*i - 17. Let x be v(7). Let d = x - 191. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2098400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((2 - 1)\/5)\/(2\/10). Let c(x) = -x**3 - 6*x - 5. Let i(p) = p. Determine d*c(n) + 6*i(n).\nAnswer: -n**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -7 + -b?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-4 - -2 - (4 + 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 283555895 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 39 divided by 2215\nAnswer: 39\/2215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/2 + 850*n**2 - 724197*n\/2 + 720801.\nAnswer: -(n - 849)**2*(n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 49684057 or 49684044?\nAnswer: 49684057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 + -28158602.\nAnswer: -28158601.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -312716.681 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -272, -580, -886, -1190, -1492, -1792?\nAnswer: -2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 373978451 to the power of 1\/4, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 64888.06 millilitres?\nAnswer: 64.88806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2345 - 2138. What is the greatest common divisor of k and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 53*c - 6*c**3 - 45*c - 8*c**2 + 31*c**2 - 15*c**2 - 14*c**2 in the form l*c**3 + r + u*c + x*c**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -8, -45, -106, -191, -300?\n\"Answer: -12*c**2 - c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/22  (b) 0.5  (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 1, 0.5, 0.1, -7 in increasing order.\nAnswer: -7, 0.1, 0.3, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from {s: 1, w: 2, m: 1, r: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1062784944 a multiple of 6396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 213464 is divided by 13341.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 228*h - 169*h - 68*h + 3 + h**2. Let u = 10 + -5. Determine r(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 - 14*t**2 + 14*t - 6. Let c be z(13). Let v(f) = -8*f**3 + 55*f**2 + 9*f - 3. Let o be v(7). Is c bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 111339.46357 to the nearest 10.\nAnswer: 111340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 3163*f - 31. Let b be u(4). Let t = b + -8975. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -62*m + 195. Let i be h(3). Calculate the highest common divisor of i and 78.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -115 + 131. Suppose 0 = -12*j + h*j - 264. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3430, -14354, -32574, -58090, -90902, -131010?\n\"Answer: -3648*j**2 + 20*j + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.06, -111, -76\/5 in ascending order.\nAnswer: -111, -76\/5, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 2 = -3*b, 4*b + 10 = 5*c - 2*c. Let w = 1.83 - 1.03. What is the second smallest value in -0.03, b, w?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13707 - -13701. Let c be (-2)\/9 + 0\/(-3). What is the second smallest value in 1, 4, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 269253613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -23.8 * -2742.63.\nAnswer: 65274.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**3 + 58*f**2 + 126*f - 380. Give o(60).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 4*r = s - 4, -8 = -5*s + r. Differentiate 3 + 4*t**2 + 3*t**2 - 2*t**s with respect to t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -0*a + 264. Let o be (6\/(-8))\/((-3)\/a). Suppose o + 3 = 4*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 8*r**2 + 51*r + 110. Calculate t(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 18 = -7*s, 4*l = -s - 38 + 14. Let b be 1 + 0 + (-2 - -1). Sort l, b, 5 in decreasing order.\nAnswer: 5, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -397*k - 2. Is w(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*i**2 + 33*i**2 - 11*i**2.\nAnswer: 56*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6\/949 + -46537\/5694. Calculate the common denominator of ((-37)\/12)\/(2\/6) and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4636*r**3 - 4639*r**3 + 9269*r**3 - 836.\nAnswer: -6*r**3 - 836","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8275 less than 0.09?\nAnswer: -8274.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -205 = 452*r + 247. Let p(n) = 35*n - 4. Determine p(r).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34079611 and 4437.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 + 5. Let p = h - 0. Put p, -3\/5, -3 in increasing order.\nAnswer: -3, p, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7.9 - -7.71. Let s = v - -3.99. Let f = s + -3.8. Put -3\/5, -7, f in descending order.\nAnswer: f, -3\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11741226 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/10 + 2990\/(-75). Let f = -40 - w. Let v(k) = -5*k**2 - 14*k - 12. Let s be v(-1). Which is smaller: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 3 s when four letters picked without replacement from vvsssssvsss?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*u + 28*u + 13*u to the form m + w*u and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**6*w*w*w**11*w)**(-43)*(w\/w**(1\/6)*w*w\/w**1)\/((w\/(w*(w*w*w**1\/w)\/w*w))\/(w\/(w**7*w*w))) assuming w is positive.\nAnswer: w**(-5185\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1855 - -1860. Solve 0 = -s*a - g - 14, a - 2*g = -0*a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 24*q**5 - 11*q**5 + 18*q**5 + (2*q**2 - 2 + 2)*(-3*q**3 - q**3 + 2*q**3).\nAnswer: 27*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 45 + 61 = 3*y, 5*n + 5*y - 25 = 0. Let x = -919\/7 + 131. Suppose -5*k - 5 + 20 = 0. Which is the closest to n?  (a) x  (b) k  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63.76 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 PM and 12:56 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1773 and 46689?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 148068132691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1957834786.\nAnswer: 2, 978917393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 - 6*t**2 + 3*t + 4. Let f be k(6). Suppose -23 = -5*c + f. Let j be ((-3)\/(c\/(-15)))\/1. Solve -j*m = y, m - 5*y - 26 = -0*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 597632 and 4928.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 13*d**2 - 67*d + 6. Let u(z) = -66*z - 4219. Let k be u(-64). Give j(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 174*l**3 + 4*l + 242. Let g(w) = 353*w**3 + 7*w + 484. Let f(t) = -7*c(t) + 4*g(t). Differentiate f(i) with respect to i.\nAnswer: 582*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.528 in 5, 11, 1, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-1\/8))**15\/(o**(-2))**(-1\/4) assuming o is positive.\nAnswer: o**(131\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = -2*n - 5*u, -5*u - 384 + 349 = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 23 (base 11) to base 6\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-18)\/((-3)\/(-1))*(1 - -1). Let u be (-3)\/(-2)*(h + 14). Let v(l) = -l + 58*l**3 - 25*l**u - 22*l**3 + l**2 - 1. What is v(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3971 + -3947. Calculate the smallest common multiple of 424 and d.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 10*o - 4. Let g = -101 + 102. Suppose 0 = 5*v - 29 + 4. What is the smallest common multiple of v and t(g)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 141066 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 236047 or 235414?\nAnswer: 235414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -q + 2*q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -4*d**3\/5 + 54*d**2\/5 - 168*d\/5 - 98\/5 = 0.\nAnswer: -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are -6246 and 0.0551 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60\/(-5) + -35 + 35.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4.2 + 3.46. Let x = w - -4.64. Let g = 3.900023 - x. What is g rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.74 + -1.96. Let m = 3.6 + d. Let p = -37\/2 + 19. What is the biggest value in m, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 819?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 + 1. Suppose 0 - 2 = -l, 0 = -4*z + 3*l + 14. What is the least common multiple of z and (-12 - -5)\/(a\/1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -240 + 24*w - 3\/5*w**2.\nAnswer: -3*(w - 20)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1897 + 1938. Suppose 10 + 30 = 4*a. Differentiate a*w**4 + 41*w + 4 - v*w wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/11)*t\/(t*t*t**(5\/6)))**(4\/7) assuming t is positive.\nAnswer: t**(-38\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwwwpwwwwwww. Give prob of sequence ww.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 513223273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 447337324?\nAnswer: 2, 7, 15976333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 2*c + 130 = s, 3*s + 97 = -c. Let o = 12 + -59. Let x = s - o. What is the remainder when x is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -2*x + 4. Let r(c) = c. Let k(f) = -h(f) - 3*r(f). Calculate the remainder when 2 is divided by k(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31729?\nAnswer: 31729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*(2 - 1)*-2. Let v be (2\/(-3))\/(d\/(-9)). Let t(i) = 2*i - v*i + 3*i. Let w(c) = -7*c**2. Calculate t(w(q)).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -120100120 + 202?\nAnswer: -120022211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 25\/9 - (-56)\/252. Let u(t) = 2*t**3 - h*t**3 + 0*t**2 + 5*t**2 + 5 - 4*t**2 + t. Calculate u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the third derivative of 10*x**2 + 1\/2*x**3 + 5\/24*x**4 + 1\/30*x**5 + 0*x + 0. Let u = 37 - 39. Let v(t) = t**2 + 2*t + 1. Calculate u*i(z) + 5*v(z).\nAnswer: z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b - b + 0*b + (-3*b - 2*b + 3*b)*(4 + 2 + 0))*(-2*b**3 + b**3 + 2*b**3).\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 148899?\nAnswer: 3, 49633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/13338 and -103\/111150.\nAnswer: 333450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -2*8\/64*56*1\/2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(1\/3)\/i**(-1\/2))**(-29)\/(((i\/i**0)\/((i**(-6)*i)\/i))\/(i**(-2\/13)\/(i\/i**(1\/3)))) assuming i is positive.\nAnswer: i**(-2495\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 5)*(-3 + 2 - 1)*(3*x + x - 2*x)*(-5 + 1 + 1 + (-6 + 5 + 3)*(-3 - 3 + 1)).\nAnswer: -156*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -305*b = 12*b - 195550960. Round b to the nearest one thousand.\nAnswer: 617000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, 5\/3, 2, 0 in decreasing order.\nAnswer: 2, 5\/3, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 10011829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, 4, -157 in descending order.\nAnswer: 4, 1, -5, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 AM and 8:23 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**25*k*k)\/k)\/(k\/(k*k**(-4\/3))) assuming k is positive.\nAnswer: k**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of 0*r**4 + 0*r**3 - 37\/2*r**2 + 0 - 14*r - 31\/20*r**5. Find the first derivative of c(g) wrt g.\nAnswer: -93*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -7*k**3 + 19*k**2 - 13*k - 3. Let g(h) = -64*h - 36*h**3 + 68*h**2 + 6*h**2 - 16 + 22*h**2. Let p(l) = 3*g(l) - 16*r(l). Factor p(z).\nAnswer: 4*z*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 433526, 867054, 1300580, 1734104, 2167626, 2601146, 3034664?\n\"Answer: -f**2 + 433531*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 732610891 times -3\nAnswer: -2197832673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 236 - 30190?\nAnswer: -29954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -824*h - 1015*h + 2654*h - 811*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 12:18 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3602 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - 34 - ((0 - -10) + -34)) + (1 - 13).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-9)*((-2548)\/(-168) + -15)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -14*j**4 + 16*j**3 + 70*j**2 + 24*j. Let z(o) = -2*o**4 + o**2 + o. Let n(a) = -v(a) + 4*z(a). Solve n(q) = 0.\nAnswer: -2, -1\/3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 8:26 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2247 - 2247.2. Sort 7, j, 15\/8, 3\/2.\nAnswer: j, 3\/2, 15\/8, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y + 4. Let b be (-3 + 4)*(6 + 0). What is z(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1465*d - 2465*d + 1000*d + 213*d**2 - 2.\nAnswer: 213*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -24024634*v**5 + v**4 - 3*v**2 + 5331721?\nAnswer: -1441478040*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 5*t - 785 = 0, 3*l + t - 2307 = 2*t. Suppose 0 = 43*y - 301*y + 18060. What is the highest common factor of l and y?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1262.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-381)\/18)\/(3\/(-12)). Let s = t + -83. What is the biggest value in 3, -1, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 5. Suppose 2*b = -5*d - 3, 3*b = n*d - 9 - 7. Differentiate 38*o + d - 41*o + 3 with respect to o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*(-17)\/30 - (-6)\/45. Let x = -8\/385 - 157\/385. Which is the closest to -2?  (a) 3\/2  (b) x  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -64, -124, -194, -280, -388, -524, -694, -904?\n\"Answer: -g**3 + g**2 - 56*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x + 6. Let r be i(8). Let s be (-1 - r) + (6 - 5). Suppose -45 = -s*t + 5. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 31022185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*p + 10*p - 95. What is z in -12*z**4 - 2*z**p - 99*z**3 - 95*z**3 + 184*z**3 = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -92524 take away -3078447856?\nAnswer: 3078355332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 1 = 3. Suppose -3*h + 0*h = 5*m + w, 0 = -5*h - 2*m + 3. Sort h, 4, 5.\nAnswer: h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of -s**7\/280 - 7*s**6\/480 + s**5\/40 - 15*s**2 - 41. Let f(b) be the second derivative of z(b). Factor f(j).\nAnswer: -j**2*(j + 3)*(3*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 6356, 6367, 6384, 6407, 6436?\n\"Answer: 3*t**2 + 2*t + 6351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 4 - 13)*(-47 + q - 3*q + 49 + 5*q**2) as x*q**2 + v*q + w and give x.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 185622769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2844 divided by 158\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**4 + 1145*r**3 - 5815*r**2 + 8175*r - 3510.\nAnswer: 5*(r - 3)*(r - 1)**2*(r + 234)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -6*d + 2. Let p = -8 - 2. Let c be r(p). Suppose 4 = -f + n + 28, -3*f + c = -n. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a**3 - 3306*a**2 - 1290822*a + 1294130 = 0. Calculate a.\nAnswer: -1019, -635, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 102 - 93. Let j = -7 - -31. What is the remainder when j is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 56850, 56858, 56890, 56958, 57074, 57250, 57498, 57830?\n\"Answer: 2*l**3 - 6*l + 56854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 2*w = 4, 3*w - 3 = s - 9. Let x be (4\/(-3))\/(48\/(-108)). What is the third derivative of s*k**x - 2 + 3*k**2 - 4 + 6 wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/6  (b) -17  (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11647861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -106*g**3 - 7*g**3 - 68*g**3 + 46*g**3.\nAnswer: -135*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + -1. Suppose 0*a - 38 = -4*a - 3*u, -2*a + 4*u + 30 = 0. Let z(y) = -y + 8. Let n be z(a). Sort n, -1, v in decreasing order.\nAnswer: v, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kskssyysyyysskks. Give prob of sequence yyy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6226 - 6391. Sort 0, m, -9 in decreasing order.\nAnswer: 0, -9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(180)*5*-5)\/(sqrt(36)*-2).\nAnswer: 1 + 25*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -38 - -34. Which is the smallest value?  (a) l  (b) -0.3  (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -368, -694, -1000, -1286, -1552?\n\"Answer: 10*j**2 - 356*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 10*z**3\/9 + 146*z**2\/9 - 142*z\/3 - 34 = 0.\nAnswer: -17, -3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 348976.\nAnswer: 2, 17, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/23 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43070 = 1346910*a - 1346545*a for a.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.7 times 7\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2077 and 46766?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 - 5*s**2 + 3*s. Calculate w(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 105 and 5679228.\nAnswer: 198772980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.05 + -1.6. Let y = r + -0.95. Which is the closest to 2.1?  (a) y  (b) -4  (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58603.\nAnswer: 58603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 352 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*b = 386 + 28 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(0 + sqrt(2057) - sqrt(2057))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -300*(-17)\/(-8500)*(1 + (-272)\/(-3)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1 and 1979.\nAnswer: 1978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 474213 or 474211?\nAnswer: 474211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -42435\/36146 - 2\/583. What is the common denominator of 11\/310 and h?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 + 15*d - 17. Let i be g(14). What is the second smallest value in -5, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 52 and 23252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 648740 divided by 129748?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = -5*x + 4, -3*k - 3 = -4*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 195.133 + -0.133. Let w = 194.999834 - o. Round w to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 6:18 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -217670 and -9.\nAnswer: 1959030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5049 and 33704319?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 3 j when four letters picked without replacement from {j: 8, p: 4, o: 1}.\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/41877 and 97\/213192.\nAnswer: 2345112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + f - 87 = 0, -53*p = -56*p - 4*f + 78 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-65366)\/(-686))\/(6\/679) - 3\/18.\nAnswer: 41, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -a*d - 1731*a + 1330*d wrt d?\nAnswer: -a + 1330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-15)*70\/(-40)*1?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/j**(-1\/3))\/((j*j**1)\/j))**(-5)\/(j\/(j**0\/j)*j*j**5*(j*j\/(j\/(j*j\/((j**(2\/7)\/j)\/j))))**36) assuming j is positive.\nAnswer: j**(-3872\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 21927065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1207 (base 13) to base 14.\nAnswer: cd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + (-25 - -27)\/(-2 - 0). Suppose 3*s - 5*s = 4*z + 94, -5*s + 73 = -4*z. Is z at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of 11*g**4\/24 - g**2 + 76. Let y(b) = -b**2 - 8*b. What is y(i(v))?\nAnswer: -121*v**2 - 88*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - ((5 - -17) + -9)) + (4 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 153*z - 10548 = 159*z. Let l = z - -2661. Calculate the highest common divisor of l and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 + -54. Let u be 77\/z + (2 - 0). Factor -1\/6*g**3 + 1\/6*g - 1\/6*g**4 + u*g**2 + 0.\nAnswer: -g*(g - 1)*(g + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 4*r**3 + 2*r + 1. Let y(j) = -32*j**3 - 17*j - 7. Let l(f) = 51*n(f) + 6*y(f). Differentiate l(v) with respect to v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -25*m + 3. List the prime factors of k(-10).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -220*x**4 - 5*x**3 - 61*x**2 - 10*x - 5. Let k(v) = v**3 + 2*v. Let y(p) = j(p) + 5*k(p). What is the third derivative of y(b) wrt b?\nAnswer: -5280*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -4*c - 11, -4*u + 7 = -13*c + 14*c. Let o(i) = 5*i**2 - 11*i - 4. Let q(v) = -2*v**2 + 6*v + 2. Calculate c*q(a) - 3*o(a).\nAnswer: -5*a**2 + 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -j**4*m + 86668*j**2*m + 16887*j + m - 3 wrt j?\nAnswer: -12*j**2*m + 173336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*h = -20 - 34 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -15\/151 and -77\/4506.\nAnswer: 680406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -203464686 divided by -359\nAnswer: 566754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the second derivative of 0*z**2 - 1\/6*z**3 + 3*z - 13. Let o(l) = 175*l**2. Calculate a(o(c)).\nAnswer: -175*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 - 7 + 5)*(q**3 - 3*q**3 + 0*q**3) + 30 - 1188*q**3 - 174 + 1189*q**3 as l + m*q**3 + x*q**2 + h*q and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -61688592 by 6442.\nAnswer: -9576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -126*s + 95*s + 1116. Let v = -3 - -3. Calculate the least common multiple of v + 33 + 1 + 2 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g**(2\/11)\/g)\/g)\/(g*g**(2\/19)))\/(((((g*g*g**(-3))\/g)\/g)\/g)\/((g\/(g\/(g**(-2\/21)\/g)))\/g)))**(16\/3) assuming g is positive.\nAnswer: g**(-71536\/13167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1345 + -1272. What is the greatest common factor of 2701 and g?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -133123 - -3?\nAnswer: -133120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5665 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.08?  (a) -0.3673  (b) 1  (c) 16  (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of 21*h**4\/4 + 2. Let z be m(1). Let d be 70\/z*3\/2. Solve d = n + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11304 is divided by 2257?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**3\/5 + 26*l**2\/5 + 6*l.\nAnswer: -2*l*(l + 1)*(2*l - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 + 5\/(120\/3692). Let b = q + -1430\/9. Calculate the common denominator of b and (-8)\/4*154\/8.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -848113\/1175 or -723?\nAnswer: -848113\/1175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 2 v, and 1 f when four letters picked without replacement from pgggvpgiieppefeeivep.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/(((l\/(l**14\/l)*l)\/l)\/l))\/l**3*l**(-6\/11)\/l**17 assuming l is positive.\nAnswer: l**(-61\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4786, 9725, 14702, 19735, 24842, 30041?\n\"Answer: 3*x**3 + x**2 + 4915*x - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.2 - 2.8. Let i = -940.60044 + 944.6. Let w = i + d. Round w to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 5*s - 28. Let y be ((-4)\/s)\/(40\/180). Let v be 7\/(21\/195) - y. What is the greatest common factor of v and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 + r + 1. Suppose -2*s = -3*s. Let z be y(s). Let b = -1 - -2. Is b equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 155006 = 5*h, -4*i + 0*i = -3*h - 93008. What is h rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 402 + -398. Sort 2, -3, -5, o.\nAnswer: -5, -3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-15 - -9) + -6 - -18)*628\/6. What is the greatest common divisor of q and 7379?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -4*p + 284, 4*p + p = 4*z + 355. Let g = p - 10. Suppose -5*s = -134 - g. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 12:07 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 3*c - 38 = c, -5*c - 10 = 0. What are the prime factors of 65 + (m - (-8)\/(-2))?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jl when two letters picked without replacement from {r: 6, f: 1, j: 5, h: 2, l: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 3*q = 19, 0 = -s + 4*s - 4*q + 52. Let m be s\/6*6\/(-4). What is the closest to -2\/5 in 2\/11, m, -3\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -0.3, -2\/7, -172 in descending order.\nAnswer: 5, -2\/7, -0.3, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 + 3*b**2 - 3*b. Let g = -48 + 216. Let t be g\/(-40) - (-2)\/10. What is c(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4087.7 and -3?\nAnswer: 12263.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 274 is divided by 44?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14299 + 14301. Which is smaller: i or -0.603?\nAnswer: -0.603","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 152 and 16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/(-1092)*-14*-129?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -4*x - 21, v + 4*x = -0*v - 15. Suppose -1 = -c + v. Which is smaller: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -164 - 481 + 170 = 95*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*a = -27 - 198. Solve -a = 17*v - 14*v, k + 3*v = -18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 + 3*h**2 + 2*h + 2. Let n be s(4). Let i be (n\/4)\/((-3)\/54). Let y be (-44)\/(-126) - (-6)\/i. Sort y, -0.4, 2 in decreasing order.\nAnswer: 2, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/552900 and 53\/33174.\nAnswer: 1658700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 198736117.\nAnswer: 1613, 123209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -39269f (base 16) to base 3\nAnswer: -21001021202222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 87642?\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165695357 is divided by 640?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -6 - -8891083787\nAnswer: 8891083781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12988.\nAnswer: 2, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1126754 is divided by 243?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(165) + (sqrt(165)*2 - sqrt(165))*4)\/(sqrt(3) + ((-1*sqrt(30))\/sqrt(10) - sqrt(3))))\/(4*-4*(sqrt(1331) - (sqrt(1331) - -2*sqrt(1331)))).\nAnswer: 25*sqrt(5)\/352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 6*k**3 - k + 3*k + 3*k**3 - k as g*k**3 + o + f*k**2 + v*k and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -305 + 302. Let n(c) be the third derivative of 0 - 1\/24*c**4 + c**2 + 0*c**3 + 0*c. What is n(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 87 divide 393501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 534717.9s in minutes?\nAnswer: 8911.965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 360351692 to the power of 1\/2, to the nearest integer?\nAnswer: 18983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/208 and 79\/160.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 3:45 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8.8 + -8.6. Sort 5, v, 13 in decreasing order.\nAnswer: 13, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24332 (base 6) to base 4\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -25*p - 704. Calculate f(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**3 - x**2 - 4*x + 4. Let l = 4 - 0. Let s(h) = -10*h - 1. What is the remainder when d(l) is divided by s(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 2*f + 6. Let c(d) = 26*d**3 + 17*d**2 + 17*d. Let n(u) = -9*u**3 - 6*u**2 - 6*u. Calculate f*c(a) + 17*n(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 105051008 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 6 = -4. Let s(z) = -10*z - 3*z**2 + 15*z + 2 + h*z**2. Give s(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153)\/sqrt(75))\/(sqrt(3) + -1*sqrt(27)))**2.\nAnswer: 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2\/857 + 16259\/10284. Let i = -3 + 3. Calculate the common denominator of k and (-103)\/(-12) + (2 - i).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - -2. Suppose -4*x + m = -2*a - 5, 4 = 2*a - x. Let h = -6 + 6. Solve 0 = a*z - h - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(363)*2 + sqrt(363) + sqrt(3) + (2*sqrt(33))\/sqrt(11).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3500)*3)\/((sqrt(7) + sqrt(63))*-3).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-13 + 13)\/(-8 - -3). Let l(v) be the third derivative of -7\/6*v**4 - 10*v**2 + 0 + 4\/3*v**3 + t*v - 4\/15*v**5. Solve l(y) = 0 for y.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 647*z - 1303. Calculate k(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/19602 and 23\/10692.\nAnswer: 117612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*k + 162 = -30 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((d\/(d*d*(((d**(-2\/3)\/d)\/d)\/d)\/d*d))\/d)\/d)\/d*d)\/d)**(45\/4)\/(d**6\/d*d*d**(-7))*((d**(-2\/7))**(-2\/71))**47 assuming d is positive.\nAnswer: d**(-4715\/1988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3193293 is divided by 1064422?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (7 - 3)\/8*-48. Let o be (-9)\/(-12) - (-2034)\/s. Does 5 divide (4 + o\/8)*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 0*m - 12. Solve 0 = -m*n + n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 183199, 183203, 183207?\n\"Answer: 4*c + 183195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (5 - (-4 - -6)) - -1 - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 237, 756, 1547, 2598, 3897, 5432, 7191?\n\"Answer: -2*k**3 + 148*k**2 + 89*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*u = 13*u - 637 + 91 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 3*m - 2. Let w be m\/(-2)*(-61 + 14). Let n = w - -128. Is 35 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from rgrrlvrntlllllrgnrgv.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -2376*d + 16780. Give f(7).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2368595 is divided by 3080.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1468314.\nAnswer: 2, 3, 27191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/((-3)\/13 + (26010\/(-3393) - -8))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 1. Let g(y) = y + 10. Let p(d) = g(d) - 2*m(d). Let k be p(-8). Suppose k = 32*h - 31*h - 1. Do h and -1\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*w - 3424 - 3418 - 3*w + 6843.\nAnswer: -18*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -696414*m = -696411*m - 7*j - 14 + 98, 12 = 4*j for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*n - 5*v = -40*n + 3318, 8 = -4*v. What are the prime factors of n?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -11 - 3*132\/(-36). Let g(c) be the first derivative of 1\/72*c**6 - 1\/48*c**4 + 1\/30*c**5 - 1\/18*c**3 + 0*c + i*c**2 + 11. Suppose g(u) = 0. What is u?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000050422987 rounded to seven decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47718?\nAnswer: 2, 3, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 209 (base 13) to base 5\nAnswer: 2342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (11\/1 + -1)*-1. Let r be 62\/(-51) - j\/15. Let y = -2\/17 + r. Sort y, -5, -0.2 in descending order.\nAnswer: -0.2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-199)\/(-2))\/(2\/4) + -4. Let h = 308 - q. What is the remainder when h is divided by (-10)\/35 - (-536)\/14?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*k + 103643 - 3*k - 6*k**2 - 103643.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 3*d**3 - 9*d**2 + 3*d + 3. What is k(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 + 8*v**2 + 7*v + 15. Let t(g) = g**2 - 2*g + 1. Let o(w) = s(w) + 2*t(w). Give o(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6261.2 not equal to -102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 453*r**2\/4 + 989*r\/4 = 0.\nAnswer: -989\/453, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2ad - 3?\nAnswer: -2b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 PM and 9:04 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -51*2419\/(-8364)*4?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -186, 1186, 2560, 3936?\nAnswer: 5314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2511, -3762, -5857, -8796, -12579?\nAnswer: -17206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 246 = 21*w - 39*w, 3*w = c + 43 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 84871?  (a) -0.4  (b) 0.2  (c) -4  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/197?  (a) -1  (b) 0.27  (c) 5  (d) 2  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -18*d**2 - 228*d + 90882. Determine t(65).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*s + 28*s + 12*s = -288 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 5*i = i. Suppose 3*o = r - i*r - 16, o + 8 = r. Solve l = 0, r*n - l - l = 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -6*v + 2. Let f be x(0). Suppose j - 3 = -0, f*z + j - 1807 = 0. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.58  (b) 48  (c) -9  (d) -0.4  (e) 7\/11  (f) -2\/11  (g) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 3*y**2 + 4*y. Let b be c(-6). Let t be 1\/((-1)\/210*-10). Calculate the highest common factor of t and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c - 2*c - 3*c**2)*(0*c - 2*c + 3*c) + (-4*c**2 + 0*c**2 + 2*c**2)*(3*c + 0*c - c).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 474700 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - -72?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of g**4\/4 + 7*g**3\/3 + 7*g**2\/2 + 24*g + 13. Let p be t(-6). Sort -5, p, 2 in ascending order.\nAnswer: -5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.9 + -2.06. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 + 7*f**2 + 10*f + 9. Suppose 0*j = -4*j - 24. Let v be s(j). Suppose -7*n - 134 = 5*k, -5*k - 32 = 19*n - 18*n. Is n at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -519 - -251. Let u = 292 + i. Solve -16 = -8*d + u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 41 + (-306)\/9 + 76\/(-10)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2640 + 4183. What are the prime factors of q?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 9*r - 3. Let a be x(1). What is the derivative of -a*c - 4*c - 18 - 3*c wrt c?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8301*z**3 + 16583*z**3 - 8305*z**3.\nAnswer: -23*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4432)\/(-128) - 35 - (-1)\/8. Suppose 2*j - 20 = -4*n, -4*n + 12 = -3*j + j. What is the third biggest value in j, 6\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 10 = 5*k, -4*k + 5*j + 42 = 34. Put 72, 48, k in descending order.\nAnswer: 72, 48, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 4*u = 14, -431*u + 56 = 2*z - 413*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-403618)\/(-20) - (3\/70 - 17\/119).\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**3 - 97*y**2 + 96*y - 1. Determine m(96).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 653906 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -8*((-36)\/32)\/(-3). Sort w, -1\/4, 2.4 in descending order.\nAnswer: 2.4, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 - 3. Suppose 2*p - p + 14 = -4*l, -12 = -4*p + l. What is the remainder when t is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + 82 + (-201 - -12)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -514*l = -8753 + 3613 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*g**3 - 114*g**2 + 45*g + 78 = 0 for g.\nAnswer: -13, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3070571 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2 + g**3 - 15*g**2 + 10*g - 7 + 5*g. What is the units digit of a(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.9 - 0.9. Let x be (-1)\/(((945\/14)\/9 - 6) + -3). Which is the biggest value?  (a) x  (b) j  (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -28*t - 4. Is 8 a factor of s(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 800?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2054.2 - -2054. Sort -2.8, -4, -1, j, -5.\nAnswer: -5, -4, -2.8, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 + -14 + 2 + -9 + 4 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11619678*a**2*d**3*t**3 - 3*a**2*d**3*t - a*d**3*t**3 + 3*a*d**3 - 5*a*d**2*t**3 - a*d + 1191*d**2*t**3 - 10*d**2*t wrt a?\nAnswer: 23239356*d**3*t**3 - 6*d**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 7190?\nAnswer: 7190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = 4*u, q + 2*u - 44*u - 78 = 2*q - 29*u for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1218981652 to the power of 1\/2, to the nearest integer?\nAnswer: 34914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -3*s**4\/4 + 759555*s**3 - 192411204411*s**2 + 52293708958320*s - 3555017152151232 = 0?\nAnswer: 136, 506234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*j - 2*j = 24, -6*t + 12*j - 15*j = 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -356, 3\/5 in descending order.\nAnswer: 3\/5, -8, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -3*p. Let r(h) be the first derivative of 0*h + 1 - 5*h + 3*h. Let y(a) = a**2 - 9. Let g(d) = 18*r(d) - 4*y(d). Calculate o(g(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from kkjkjkjjmmmj.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 640461967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0448 and -0.19878.\nAnswer: 0.008905344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -6*(5\/3 + -1 - 1). Find the common denominator of -1\/2 and (d\/(-22))\/(4\/(-16)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1391, -1394, -1399, -1406, -1415, -1426?\nAnswer: -1439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -25*r**2. Let o(x) = 45*x. Calculate o(m(j)).\nAnswer: -1125*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 26578, 53200, 79824, 106450, 133078, 159708?\n\"Answer: t**2 + 26619*t - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1507983127 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -7 + 6*w + 3*w**2 + 14 - w**3 - 12. Let z be f(4). Suppose 3*x + 667 + 248 = z*u, -5*u + 4*x = -1527. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y + 7. Let s be f(-6). Suppose 3*g - 2*g + z = 4, 5*z + s = 2*g. Let n = 5 - 0. Sort n, 1, g.\nAnswer: 1, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 311532 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -48448, -48548, -48648, -48748, -48848, -48948?\n\"Answer: -100*l - 48348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*a - 10 = -28 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 3)*(5*b - 3*b - 4*b + b - 4*b + b + 0 - 2*b + 0 + (1 - 1 + 2*b)*(-2 + 1 - 1) - 3 + 3 - 2*b + 9*b + 12*b - 46*b).\nAnswer: -37*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.020739 rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.1 + 0.3. Let n be (-1)\/(-25 - -27 - 2\/2). What is the second biggest value in n, p, 27?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -113.57 and -2.\nAnswer: 227.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 15*z - 12*z - z + 10.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*l**2 - 1 - 267*l + 3 + 268*l)*(-8*l + 6*l - l - 2).\nAnswer: 54*l**3 + 33*l**2 - 8*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -287 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -787 + -10?\nAnswer: -797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 4*s + 23, 4*k = -2*s - k - 17. Is 33 a factor of s\/21 + 970\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 8*n**3 + 4*n + 22. Let l be i(4). Calculate the greatest common factor of 7040 and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 25\/8 of a microgram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20270 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -35231745 and -2?\nAnswer: 70463490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -17 in -1\/4, -0.02, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 4591423?\nAnswer: -2\/4591423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from igiigiiggiigii. Give prob of picking 2 g and 1 i.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -21*m**2*x*z**2 + 5*m**2*x*z + 2*m**2*z**2 - m*x - 7*m + 24*z**2 wrt x.\nAnswer: -21*m**2*z**2 + 5*m**2*z - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -369*b = -361*b - 31816. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*f**2 - 4*f**2 - 6*f**2.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 22*b - 1. Let d be w(2). Suppose 29 + d = 4*u. Calculate the least common multiple of u and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 243.8 and 0.994.\nAnswer: 242.3372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12150 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 962286160 and 17688.\nAnswer: 5896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38079489.\nAnswer: 3, 7, 359, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -141*m + 138*m + 86*m + 747 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 6:28 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 185390100 a multiple of 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -3*t**3 - t**2 + 41*t - 38. Let p be n(3). Let c(o) = -3*o**2 + 6*o + 2. Let f(a) = -4*a**2 + 7*a + 3. What is p*f(b) + 6*c(b)?\nAnswer: 2*b**2 + b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33685529?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 + (2 - (1 + 0)). Suppose 0*s + s = l. Is 38*5 - (s - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*h**3 + 61 - 32 - h**3 + 30 + 40 to the form c*h**2 + i + x*h**3 + n*h and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -383432 divided by 2.\nAnswer: -191716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*1*sqrt(2352) - (-3 + -1*sqrt(2352))) + 5 + sqrt(2352)*1 + 5 + -4)**2*2.\nAnswer: 7056*sqrt(3) + 230658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 7 = 3*i. Let b(a) = a**3 + 4*a**2 - 8*a - 5. What is b(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.554 take away 0.5?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100020222122 + 12?\nAnswer: 100020222211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -4*w + 3*w - 5, -4*d + 20 = -4*w. Let i = 4 + d. Solve 0 = -k + 5*k - i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -417367 (base 8) to base 13.\nAnswer: -4b363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 313592.\nAnswer: 2, 39199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -5*u - 23. Let d be i(-5). Put -31, -3, d in descending order.\nAnswer: d, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-22)\/143)\/(40\/(-65)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 731 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 123012231 - -3?\nAnswer: 123012300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 357 - 353. Let l(o) be the third derivative of -n*o**2 - 1\/60*o**5 - 1\/24*o**4 + 1\/3*o**3 + 0*o + 0. Factor l(b).\nAnswer: -(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 27 + 28. Let u(k) = -7*k**3 - k**2 - 6*k - 6. Let v(j) = -13*j**3 - 2*j**2 - 11*j - 11. Calculate z*u(r) - 6*v(r).\nAnswer: r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -80060 at least -80060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1.81478*-0.0454\nAnswer: 0.082391012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 12*k**3 + 5364*k**2 - 16173*k - 163613256 = 0. Calculate k.\nAnswer: -599\/2, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 5 + 4)*(1 - 1 + 2*g)*(2 + 4 - 3)*(0 + 0 + g).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*z**2\/3 + 82*z\/3 + 28 = 0. Calculate z.\nAnswer: -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.384+-0.00443\nAnswer: -0.38843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 18899805*x**4 + 6674495?\nAnswer: 75599220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 + 29*k + 170. Let l be p(34). Sort 6, 1, -5, l in decreasing order.\nAnswer: 6, 1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 14  (b) 5  (c) 129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13 + 0 + 24*z**2 - 23 + 13 to the form x*z**2 + p*z + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/40)\/(46\/(4600\/(-2075))).\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2337\/13 or -0.701?\nAnswer: -0.701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -649 by -2973.\nAnswer: 649\/2973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 151 + (-4 - 1\/(-2))*12\/(-21). Is y <= 119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 109 = -4*i, 0 = -3*i - 2*a - 16 + 96. Suppose 4*w = -3*d - 23, 5*d - w + 7 = -16. Let r = d + i. What is the greatest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((4\/18)\/(330\/99))\/(6\/(-18))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, -2, -0.135, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10195 is divided by 204?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 + -18?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of -4*w + 0 + 7\/9*w**3 - 49\/72*w**4 - 1\/3*w**2. Let a(d) = 0. What is d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -1. Let x(l) = -l**2 - 9*l + 8. Let i(w) = -2*q(w) - x(w). Is i(-15) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23790\/((-1647)\/9)*(-1)\/25.\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23, 38, 53, 68?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 54669050518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.3 plus -1770?\nAnswer: -1766.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*h - 40528 = 113192. Is 82 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -5*z - 2*x, x = z - 5088 + 5094 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -655 (base 9) to base 11\nAnswer: -448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/110*-15*(-400)\/(-180)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15, 234, 833, 2004, 3939, 6830, 10869, 16248?\nAnswer: 23159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*i - 2*z = 22*i + z + 14, 3*i = -2*z - 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1702 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-11) + (-273)\/231. Sort -1\/11, 1\/5, h, -4.\nAnswer: -4, h, -1\/11, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 174*o + 190*o + 192*o - 558*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of -i**6\/120 + i**5\/20 + i**4\/8 - i**3\/3 + 2*i**2. Let y = -13 - -32. What is the remainder when y is divided by o(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.985139 to two decimal places.\nAnswer: -13.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 95461184 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**1)**(-1\/5)\/((k*k**(-4))\/k**6))\/((k\/k**(-1\/10))\/(k\/k**(-4)))**(12\/5) assuming k is positive.\nAnswer: k**(454\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kpkkykkppp. Give prob of sequence ky.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -2*f - 49. Let d(r) = 3*r + 50. Let h(t) = -5*d(t) - 4*z(t). Let k be h(-8). Factor 0 + 0*n - 1\/4*n**k.\nAnswer: -n**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 151 - 146. Solve 4*i + 21 = -c + 2*c, 30 = -5*i + k*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 1, 5*a = 2*l - 11. Suppose -2*v = -3*u + l*u - 1478, -2*u - 739 = -v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/3, -2\/5, -2, 0.19, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14699487283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24173, -24153, -24133?\nAnswer: -24113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(4\/11)*q*((q*q**(1\/2)\/q*q)\/q)\/q*q assuming q is positive.\nAnswer: q**(41\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 2 w when four letters picked without replacement from {x: 4, q: 2, g: 4, n: 1, w: 2, r: 7}.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1373, 3272, 5169, 7064?\n\"Answer: -a**2 + 1902*a - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gfoocwo. Give prob of sequence fcg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -20?  (a) -5  (b) -173  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 35  (c) -3\/4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.1 + 0.4. Let b = -44 - -42. What is the second biggest value in q, b, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.05 * 14\nAnswer: -28.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -217 at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 + -17. Let f = -2 - 2. What is the third biggest value in -1\/5, k, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 0.3  (b) -2\/975  (c) -4  (d) 1  (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*y**2 - 7*y**3 + 11*y**2 + 3 + 20*y**3 in the form s*y**3 + v*y**2 + w*y + t and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z. Let r(h) = -58*h**2 + 4*h - 2. Let u(g) = -115*g**2 + 10*g - 5. Let t(p) = -5*r(p) + 2*u(p). Give d(t(a)).\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-65)\/(-13)*(-24)\/20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -153 (base 13) in base 16?\nAnswer: -ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -181\/14 or -12?\nAnswer: -181\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 478*f**3*k**2 + 7*f*k**2 - 138858*k**2 wrt f?\nAnswer: 1434*f**2*k**2 + 7*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 5 - 4)*(15*m + 13 - 13)*(-5*m**2 - 35*m + 35*m + (-5*m + 5*m - 4*m)*(-m - m + m)) to x*m + t + g*m**3 + y*m**2 and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6702\/4*(-22)\/(-33).\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/10*(5 - (-205)\/(-40))*-4*-45?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {y: 2, k: 1, e: 2, d: 1, t: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 11, f: 1, q: 3, t: 2, m: 1}. Give prob of picking 1 m, 1 f, and 1 t.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 + (9 - 7 - 6). Let a be (-4)\/6*252*l\/3. What is the highest common divisor of a and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -f**3 + 206102*f**2\/3 - 183196*f + 274792\/3 = 0.\nAnswer: 2\/3, 2, 68698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 1267*z + 275. Is k(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -736, -748, -760, -772, -784?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2869483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 3*v - 6 = 0, m - 2*m = 4*v + 8. Let j be (1\/(-4))\/(15\/36). Let a = -660 - -659.9. Sort m, a, j in ascending order.\nAnswer: j, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 3911*t + 62572. Give a(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-21134997)\/(-1508) + (1 - 2\/8 - 2). What is h rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 1 = -w + 2*a, a = -2. Suppose -8 = -2*u - w. Suppose 5*y - u*d - 14 = 0, -15 = -5*y + 7*d - 2*d. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o + o - 47*o**5 - 3*o**5 - 4*o**5 + 4*o**5 + 1 + o**5 - 1 + (o**2 - o**2 - 2*o**2)*(-3*o**3 - o**3 + 5*o**3).\nAnswer: -51*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -5*f**2 + f - 9. Let l(u) = u**2 + 2. Determine 6*l(i) + p(i).\nAnswer: i**2 + i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -5, 29 in ascending order.\nAnswer: -5, -1, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 74732101.77 rounded to the nearest 100000?\nAnswer: 74700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.4728 to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -9 + 1 - (-317 + 320) - 25\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from rhchc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2 - 2552894*b + 2552892.\nAnswer: 2*(b - 1276446)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1241*80.\nAnswer: -99280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of -24 - 30*x**2 + 38\/3*x**3 + 0*x. Find the second derivative of j(q) wrt q.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.2, -0.31, -4\/5 in decreasing order.\nAnswer: 2, -0.2, -0.31, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 124, 131, 138, 145, 152?\n\"Answer: 7*l + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.1?  (a) -5\/3  (b) 2  (c) -7\/8  (d) -0.3  (e) 11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**2 - 8. Let b(i) = 0*i**3 - 10*i + i**3 - 12*i**2 - i + 19. Let u be b(13). Let g be (0\/(-1))\/((-9)\/(u\/10)). Give a(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18778145, 18778143, 18778141, 18778139, 18778137, 18778135?\nAnswer: 18778133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 5*c - 12. Suppose 0 = -q - c*r + 29, 5*q - 3*r = -0*r + 181. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -594 = -2570*z + 2588*z for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 + 1746*d + 1640*d + 13588*d + 16.\nAnswer: 16974*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -0.0215  (b) -5651  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(1\/3)*i*i)**(-47))**(-12))**(9\/4) assuming i is positive.\nAnswer: i**2961","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -1\/6, 12.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2340 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8264.0000018214 + -8264. Round q to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o\/(o*o*o**(-7\/5)\/o)))\/((o\/(o*o\/(o**(-23)\/o)))\/o))\/((o\/o**(-4\/9))\/((o**1*o)\/o)) assuming o is positive.\nAnswer: o**(1132\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-1 + (sqrt(2448)*2)**2 + -1 + 1 + sqrt(2448)).\nAnswer: -9791 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 47 + 81. Suppose -a = -4*m - 5*d, 0 = -0*m - 4*m - 3*d + 136. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 - 5*r + 3. Let y be a(-5). Let g(i) be the first derivative of -1 + 0*i - 2\/3*i**y + 0*i**2. Let f(c) = -c. Calculate g(f(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -649518.94 to the nearest one hundred.\nAnswer: -649500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 476 - 473. Solve 0 = -5*l + 18 - j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*2*-40*(-11)\/176. Sort -17, -1, c, 0.\nAnswer: -17, -1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -2, 0, -3\/8 in decreasing order.\nAnswer: 0.4, 0, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 49 + 1235\/(-190) + 3\/2\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2191*x + 2190*x + 2202*x + 2187*x - 8746*x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 2*i + 3. Let l(f) = -8*f - 12. Suppose 50*g + 26 = 37*g. Determine g*l(z) - 9*w(z).\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1176*x - 1405*x + 1145 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -37*n**2 - 6*n**2 + 4*n**2 - 9*n**2. Let a(m) = -10*m**2 - 12*m - 4. Let d(q) = -23*q**2 - 27*q - 9. Let i(f) = 9*a(f) - 4*d(f). What is g(i(p))?\nAnswer: -192*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 12*p. Let i(h) = -105*h. Give a(i(z)).\nAnswer: -1260*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 12:52 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6.3 - -6.4. Let n = 1 - -1. What is the second smallest value in 2\/11, n, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 0*b + 0*b**2 - 5*b - 1 + 4 + b**3 - 5*b**2. Let i be f(6). Let o = -3 + i. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwwhwwwwwwww. Give prob of sequence hw.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*b + 11*k + 41, -601*b - 17 = -606*b + 9*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -5*d. Let b(g) be the first derivative of g**5\/40 - 14*g**3\/3 - 14. Let s(c) be the third derivative of b(c). What is s(m(t))?\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes after 11:22 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 6*x = 139, 0*f + 3*x + 21 + 21 = -6*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t**5 + 1974*t**4 + 266247*t**3 + 8686656*t**2 - 134170020*t - 142592400 = 0. Calculate t.\nAnswer: -489, -90, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 3)*(1 - z**3 - 1) + 2*z - z**3 - 2*z + 7*z**2 + 1 - 8*z**2 - 30*z**3 + 8*z**3.\nAnswer: -25*z**3 - z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7.3 + -7. Put d, -6, 2 in descending order.\nAnswer: 2, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -37*j + 55. Let l(n) = 21*n - 28. Determine 4*k(i) + 7*l(i).\nAnswer: -i + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the second derivative of p**5\/20 - p**4\/2 + 2*p**3\/3 + 7*p**2\/2 + p. Let n be c(5). Differentiate -3*b - n - 2*b + 7*b wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 + -1657?\nAnswer: -1652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*u + 0*u + 1 + 3*u)*(-3875 + 3882 + 27*u + 278*u + (3 - 4 - 1)*(4*u + 0*u - 2*u)) to the form f + o*u**2 + h*u and give h.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1633 is divided by 303.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -5*k**3 - 5*k**2 + 11*k. Let g = -3 - -5. Let n(m) = -m**3 - m**2 + 2*m. Let w = -332 - -321. What is g*d(a) + w*n(a)?\nAnswer: a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.007377531 to 6 decimal places.\nAnswer: -0.007378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8 + (-12)\/(90\/(-15)))\/(3\/(-5)). Let k(q) = -4*q + 7. What is k(z)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((3\/27)\/1)\/((-17)\/34)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t**3 - 378*t**2 - 7068*t + 2888 = 0 for t.\nAnswer: -38, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.01 + 0.01. Sort -3, 6, v in decreasing order.\nAnswer: 6, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.5 - -2.5. Which is the closest to 0.1?  (a) 2\/9  (b) -2  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -171*u**2 - 14*u**3 + 9*u**3 + 10*u**3 as a*u + d*u**3 + l + t*u**2 and give t.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-6))\/(4*(-3)\/(-48)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6 - -2)\/(3\/(-33)). Let m = -555 + 559. Calculate the greatest common divisor of h and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*u**3 - 4*u**3 - u**3)*(494 - 130 - 223) to the form a*u**3 + g + x*u + y*u**2 and give a.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, 1\/3, 0, -2 in decreasing order.\nAnswer: 2\/3, 1\/3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3657616 is divided by 1078.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7 take away 46036971.934?\nAnswer: -46036971.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fkkfkfkknfkkffknk. What is prob of sequence nn?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10303 + 10591. Calculate the remainder when b is divided by 88.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 404 = 2*c, -14*q + 19*q - 251 = -c. Solve c = v + 218 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3341773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 5 - 118*v.\nAnswer: -118*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (116*g - 104*g - 59*g)*(g**2 + g**2 - 5*g**2) - 2*g**2 + 6*g**2 - 7*g**2 - 5*g**3.\nAnswer: 136*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 + 4*z**2 + 8*z - 8. Determine m(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(2\/3))**(2\/93)\/(z\/z**(-1\/2)*z**1\/z))\/(((z**(-6)\/z)\/z**(-2\/9))\/(z**(-4)*z**(-4\/7))) assuming z is positive.\nAnswer: z**(929\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -301, -310, -281, -196, -37, 214, 575, 1064?\nAnswer: 1699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((0 + sqrt(171) + sqrt(171))*-1 + sqrt(171) + sqrt(171))**2 + -1*sqrt(171)*5 + (-4*sqrt(171)*-2)**2 + (-3 + sqrt(171) + -2)**2.\nAnswer: -45*sqrt(19) + 11135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*s**3 - 72 - 72 - 3*s**3 + 2*s + 0*s + 66*s**2 - 65*s**2 to the form n*s**2 + l*s**3 + c + i*s and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kgkx when four letters picked without replacement from ggkgkxxgkkxxgkkkkgk.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/51 + 116*(-15)\/(-340). Solve -13*w = -a*w + 8*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 + 4 - 0) + -21*(-2)\/(-126)*93?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/((-4)\/(-8) + (-2)\/(-4)). Let p = -3.4 + 3. Sort p, k, -3 in increasing order.\nAnswer: k, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 42573, 42417, 42261, 42105, 41949?\n\"Answer: -156*p + 42729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -37 + 17. Let s = 11 + f. Let x = s + 9.3. Which is the biggest value?  (a) x  (b) -3\/4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (-2)\/12)*((200\/8)\/(-5) + -33)?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = -4*s - 19, -10 = 3*s - 2*b - 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 5836 = -734*d, -2*d - 34 = -1483*t + 1485*t for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 6*a**2 - 7*a. Suppose -4*p + 28 = 5*n, 5*n + 2*p - 39 = -15. Let k(g) = -10*g**2 + 10*g**2 + g**2. Calculate n*k(t) - c(t).\nAnswer: -2*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11*17\/(-748)*(-72)\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*v - 1, v = 3*i + 31. Let w(j) = j**3 + 11*j**2 - 2*j - 3. Is w(i) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.784+-16.186536419\nAnswer: -16.970536419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 308 + -307.99997339. Round j to six decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 721887.\nAnswer: 3, 41, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-161)\/(-14) + -12)*-46994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/(o\/(o**8*o))*o)\/o*o)\/o*o*o\/(o\/((o\/o**(8\/5))\/o)))**(-11\/3) assuming o is positive.\nAnswer: o**(-154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n**2 - 9 + 9)*(10 - 10 + 6*n)*(-2*n**2 + 2 - 2).\nAnswer: 48*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-5\/3)*b\/(b**2*b*b))**(-33))**(5\/6) assuming b is positive.\nAnswer: b**(385\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a - 2. Let y(g) = 2*g**2. What is y(q(v))?\nAnswer: 2*v**2 + 8*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 211021120 (base 3) in base 5?\nAnswer: 1004432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.21 - 0.21. Which is the nearest to 0.5?  (a) 0.5  (b) z  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 20 - 8. Let n = 24 - k. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 AM and 8:52 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 508367440.\nAnswer: 2, 5, 7, 307, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (15\/20)\/((-7)\/4). Let m = -62.1 + 58.57. Let s = m - -3.53. What is the closest to 0.2 in -1\/5, s, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 966, 7990, 27336, 65262, 128026, 221886, 353100?\nAnswer: 527926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -191, -186, -177, -164, -147, -126?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 162*u**2 - 31*u - 33. Let v be y(11). Suppose -v = -75*l + 31*l. Does 23 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -11*u - 315. Let v = 12419 - 12448. Give y(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 52 * 6548.8\nAnswer: 340537.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*j**4 - 4*j**4 - j**4 + j**4 - j**4 + j**4 + (j**4 - 2*j**4 - j**4)*(-4 + 0 + 3) - 9*j**4 + 4*j**4 - 4*j**4 + (j**3 + 0*j**3 - 3*j**3)*(1 - 1 + j).\nAnswer: -7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -77, -200, -369, -584, -845, -1152?\nAnswer: -1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 2. Suppose 25 = 5*a - 5*v + 50, 5 = -a - 4*v. Sort u, 1\/4, a in increasing order.\nAnswer: a, u, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1022, 1502, 1982, 2462?\nAnswer: 2942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 87586896 to the power of 1\/2, to the nearest integer?\nAnswer: 9359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 156107?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 + 13. Let a be (-1 + 0)*s + (10 - 5). Let c be 21250\/3*6*1*a. Round c to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j**3\/4 - 117*j**2 - 11805*j\/4 + 3069 = 0 for j.\nAnswer: -124, -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3269 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes before 7:18 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -126, -100, -62, -18, 26, 64?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30600968 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-17)\/(-357)*7)\/(4\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 314*b**4 + 1911*b**3 - 1911*b**3 + (3*b**4 - 2*b + 2*b)*(-3 - 3 + 4).\nAnswer: 308*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 3 = 4*d. Let c(r) = -5*r - 1. Let f(m) = m + 1. What is d*c(b) + 2*f(b)?\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26*a**2 + 30 - 30 to u + n*a**2 + z*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 990\/(-10) - (11 - 12)\/(1\/14)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41.554 minus 477.708?\nAnswer: -519.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.18 + 12.18. Let n = -13.2 + z. Let j = n + -8.8. Is j smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 2*j + j, -2 = 3*c - 4*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 26*b**3 - 146*b**2 + 3360*b\/13 - 1800\/13.\nAnswer: 2*(b - 1)*(13*b - 30)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 10478.2 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -91401, -365537, -822431, -1462083?\n\"Answer: -91379*b**2 + b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 + 3*q + 6. Let k be p(0). Let l(t) = 6*t - 33. Let i be l(k). Solve 0 = j + 2 + i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 3, u: 2, i: 1, e: 6, j: 1}. Give prob of sequence ueub.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 544 - -622?\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -381 + 371.95. What is f rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u - 27 + 57 = 0. Suppose u*y = -0 + 10. What is the lowest common multiple of 32 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18414 + 18519. Let c(k) = -k**2 - 16*k - 13. Let a be c(-12). What is the highest common factor of a and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - 39. Let c = k + 39.335. Round c to 2 dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23184 - 23183.51154. What is p rounded to 2 dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 336 and 1752.\nAnswer: 24528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 222479, 222482, 222485, 222488, 222491?\nAnswer: 222494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/11, 1\/3, -2\/11, -4\/5, -109?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -17175\/8*t - 9*t**5 - 7509\/8*t**3 - 1221\/8*t**4 - 19485\/8*t**2 + 375\/4 = 0. What is t?\nAnswer: -5, -2, 1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.798513306 rounded to four decimal places?\nAnswer: -0.7985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-108)\/8 + -1)*1210\/11. Let y = 2677 + s. List the prime factors of y.\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 538843369*g**5\/4 - 538889795*g**4\/4 + 46427*g**3\/4 - g**2\/4 = 0.\nAnswer: 0, 1\/23213, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((2\/1)\/(-12))\/((-14)\/42)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -820, -1650, -2480, -3310?\nAnswer: -4140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57.5*3.\nAnswer: 172.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.1 and 4\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 14*c**2 - 6*c + 16. Let n(f) = 47*f**2 - 20*f + 47. Let d(u) = -10*l(u) + 3*n(u). Determine d(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 3*o + 12 = 0, 3*o = n - 20. Let d(q) = 33*q**2 + q - 1. Let z be d(1). What is the greatest common divisor of z and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5995 divided by -11?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 43441*u**4 - 2977*u + 174568038.\nAnswer: 173764*u**3 - 2977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 38 * -22\nAnswer: -836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = 6*a + q, -7*q + 3*q + 21 + 16 = 5*a + 27 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 2 = 2*q. Suppose 2*s = 4*b - 33 + 11, -6 = 2*s. Let z = 9 - b. What is the lowest common multiple of z and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 304 + -151?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5\/(-2))\/(11\/(-22)). Solve -w - 4 = -5*x - 19, 4*w = n*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, v: 1, k: 1, y: 1, d: 2, n: 2}. Give prob of sequence ny.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4 and 297280032891?\nAnswer: 297280032887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-60)\/(2820\/47))\/13\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 82*o + 4. Let s(m) = 8*m. What is -b(f) + 4*s(f)?\nAnswer: -50*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 108 + -105. Suppose 4*b + 0*b - 19 = -m, -l*b - m + 15 = 0. Solve 2*s + 2 = -b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-11)*d*d*d\/d**22 assuming d is positive.\nAnswer: d**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 143331275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/158 and 5\/61996.\nAnswer: 4897684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**2 + 6*c - 16. Let b be y(-11). Let a = 66 - b. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2152 = -12*g - 1960. Sort g, 3, 0, 5 in descending order.\nAnswer: g, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.08 - 0.62. Let b = 0.3 - q. What is the smallest value in b, 0.5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104269049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c - 1d?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-80)\/(-13) - 18\/117. Let b(i) = -9 - 15 - 7 + i + 25. Give b(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of n**4*y**3 - 2863*n**4 + n*y**3 + 755*n*y**2 - 2*n wrt n?\nAnswer: 12*n**2*y**3 - 34356*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1911  (b) 2\/7  (c) 0.07  (d) -4\/7  (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 30454750*2.2\nAnswer: 67000450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 320c (base 14) to base 2.\nAnswer: 10000110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 885 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14.279412 + 0.720468. Let o = 0 - 15. Let h = p + o. Round h to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 122956*k**2*t - k*t + 1313*k - 18*t - 2 wrt k.\nAnswer: 245912*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3\/5  (b) 24  (c) 79  (d) -0.1  (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -2*x - 2 + 3, 2*b + 3*x = 19. Suppose -7 + b = -z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 equal to 1534\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 0*c = 5*c + 6, 5*c = -10. Suppose -t = 2*l - 2, -2*l - m = -0*l. Solve i = -i + t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 AM and 8:25 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 6 + 12 = 0. Suppose 28 = 2*t + 4. Suppose t*i = q*i. Solve 2*g = 5*h - 15, 4*g + 5*h + i = 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 63, 0.0196, 0.5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in twenty-seven halves of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from hhafahhhzhhzhhhhzfz.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 138 + 5\/3*((-3128)\/(-460) + -8)?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2 + 11*z + 10. Let a be l(-10). Suppose 5*g = 3*y + 46, -g + 3*y - 7*y = a. What is the greatest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 978*v - 29 = 5*c + 975*v, -5*c - 33 = -v for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 3924652.\nAnswer: 1569860.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 8*c**2 - 17*c - 15. Let l(m) = 2 + 0 - 1. Let k(x) = -6*l(x) - s(x). Let d(r) = 2*r**2 - 4*r - 2. Let v(a) = -9*d(a) - 2*k(a). Factor v(q).\nAnswer: -2*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000002835078868 rounded to seven dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (-6)\/15 + -5*14\/10\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = 122*r - 121 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 8*k**3 - 9*k**2 - 9*k. Let o be x(-8). Round o to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -232, -204, -126, 26, 276, 648, 1166, 1854?\n\"Answer: 4*i**3 + i**2 - 3*i - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 8. Which is the nearest to g?  (a) 0.3  (b) 1\/9  (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of i**2\/2 + 2*i - 2. Let p be t(-3). Let w = 444 + -444.1. Put 0.03, p, w in ascending order.\nAnswer: p, w, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-88)\/14)\/(-4) + -1. Let n be ((-13)\/(-26))\/((-3)\/6). Sort n, x, -4, 0.5 in descending order.\nAnswer: x, 0.5, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 711623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -470, -966, -1462, -1958, -2454?\n\"Answer: -496*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 266\/66 + 29\/290*-40.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, -21, 4, -2 in ascending order.\nAnswer: -21, -5, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-19)\/(l\/l**(-29)))\/(((l**(3\/5)*l)\/l)\/l*(l*l**27)\/l) assuming l is positive.\nAnswer: l**(-378\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = p + 2*i, p - 2 + 9 = 4*i. Let x = 1 + p. Let n(w) = 3*w + 6. Let c(f) = -3*f - 7. Let z(l) = 4*c(l) + 5*n(l). Determine z(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1479*d**4 + 2*d**5 + 47 + 1480*d**4 + 4*d**5)*(1 + 1 + 0).\nAnswer: 12*d**5 + 2*d**4 + 94","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = -3*n + 3*f, 2*n = 3*n - 2*f - 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06 * 49.89.\nAnswer: 2.9934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (514*i**2 - 688*i**2 + 423*i**2)*(-64*i + 5*i**2 + 66*i - 3*i**2 + 1) as g*i**3 + l + c*i**4 + z*i**2 + f*i and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110000011100 + -1010?\nAnswer: 110000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (-2 - 7) + -2 + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 255 = -5*h, 5534*h + 30 + 72 = 20*u + 5537*h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*w - v = -8, -2*w - 4*w + 2 = -3*w - v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8 or 0.05?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.9 and -113993.\nAnswer: -102593.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8576 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -3*h**2 + 11*h - 19. Determine s(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*1*(3*1*(sqrt(720) + -2))**2*5.\nAnswer: -32580 + 2160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 39 = 12. Let z = 714 - 597. Calculate the highest common factor of z and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y**2\/2 - 5159*y\/2 + 2887665 = 0 for y.\nAnswer: -6105, 946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -484*b*n**3*o - 4*b*n*o + 91*b - 14*n**3 - 12*n**2*o - 3*n**2 + 5*n - 12*o wrt b?\nAnswer: -484*n**3*o - 4*n*o + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - k - 78 = 0, -4*g + 57 = -6*k + 7*k. Solve 27*n = g - 69 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 69 and 219911280?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or -1078614.5?\nAnswer: -1078614.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 10361*c**3 - 20722*c**2 - 41444*c. Let t(n) = n**3 - n**2 - 2*n. Determine -d(r) + 20722*t(r).\nAnswer: 10361*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/(-143) - 400\/(-44).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 60  (b) 1\/14  (c) 3  (d) -1  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 234449\/1725273 + -357\/3454. Find the common denominator of -71\/2220 and p.\nAnswer: 19980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + q**2 + 1 + (-2 - 2*q + 2)*(-q - 5*q + 4*q))*(2*q - 2*q - 2*q**3) + 86*q**5 - 1897*q**3 + 1897*q**3 - 1.\nAnswer: 76*q**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 1:26 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04, 6, 4 in decreasing order.\nAnswer: 6, 4, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -2*o**2 + 7*o + 8. Let x be r(8). What are the prime factors of 30\/4*x\/(-24)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16149241 and 1528.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 23 + 1 + 1 + -5. Suppose m - k = -15. Suppose -176 = -13*h + m*h. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 170 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/25*-5 - -6. Let r(m) = 23*m + 8. Let x = -3 + 6. Let q be r(x). What is the highest common factor of q and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.077, 4, -0.4?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 3*i - 6. Let m be n(6). Let s = -10 + m. Suppose 5*p + 3 = -2*r + 8, s*r - 3*p - 29 = 0. Solve r = 3*o - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -16013*q + 96069. What is z(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.8097 - -0.1903. Let j = -139 - -139.8. What is the closest to 0 in 3, j, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2398, 2, -5, -16, 0 in descending order.\nAnswer: 2398, 3, 2, 0, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21 - -35. Let u be i\/42 + (-14)\/(-3). Suppose 0 = -0*b - u*b + 65. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kih when three letters picked without replacement from khkhi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/2544 and 23\/52588296.\nAnswer: 105176592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of -n**6\/6 - 121*n**3\/6 + 587*n**2\/2 + 185*n. What is the first derivative of m(q) wrt q?\nAnswer: -20*q**3 - 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3 + (4 - -5) + 3. Let g = -21 + 16. Let d(j) = j + 15. Let b be d(g). Is k at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - r)*(-r + 0*r + 0*r) + (-3*r**2 + 1 - 1)*(-17 + 4 - 8).\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 7\/(-14)*(7 - 1). What is the third smallest value in 65, m, -2\/7?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*u - 5*u. Suppose 5*v - 2*v - 189 = u. Suppose 0 = -6*f + 3*f + v. What is the remainder when 62 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 divided by 289?\nAnswer: 7\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6928, 28613, 65056, 116257?\nAnswer: 182216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 14 = 4*p, 17 = -0*x - x - 3*p. Calculate the remainder when 31 is divided by x + -1 + (19 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the second derivative of -2*y + 7 + 95\/6*y**3 + 61\/2*y**2. What is the derivative of m(o) wrt o?\nAnswer: 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 965312 + -438483. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 5*n + 109 = 0, -5*u + 5*n - 3*n = -287. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10.5 + 5.8. Let c = -5 - t. Let w = -0.5 - c. What is the closest to 1 in w, 5, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*p - 92 = -95*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 2*h = 2*h - 22, r - 23 = -3*h. Is 34\/4*r\/13 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/219, -0.5, 8, -0.336, -1\/12 in descending order.\nAnswer: 8, 2\/219, -1\/12, -0.336, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 - 10 - 3 - 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -43*s - 8. List the prime factors of w(-1).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/26 + 3200\/(-9360)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(54)*-1)\/(sqrt(363) + -2*sqrt(363))*-2 + 4 + 2.\nAnswer: -6*sqrt(2)\/11 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 249496847?\nAnswer: 19, 23, 151, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 25 = -265. Suppose o = a - 6*a + p, -5*a + 52 = 4*o. Suppose -197*v - 164 + 766 = -186. Solve 0*q = v*q + a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(-3) - 16\/(-12). Suppose 3*n - 8 = z. Solve 0 = n*p - 9, 3*y + 0*p - 2*p = 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1001110001100110 (base 2) to base 12\nAnswer: 1b206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 4*l - 4 = 0, -3 - 5 = -2*l. Solve u = 4*n - 11, 2*n - m = 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*t**5\/15 - 52*t**4\/15 + 1712*t**3\/5 + 10304*t**2\/15 - 388864*t\/3 = 0. Calculate t.\nAnswer: -62, -20, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zrzggrarr. What is prob of sequence razr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01914 rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002261757 rounded to 4 dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -4  (c) 337  (d) 0.1  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - -43615?\nAnswer: 43622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:24 PM and 9:00 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the first derivative of -1\/2*i**2 - 2\/3*i**3 + 1 + i. Factor k(p).\nAnswer: -(p + 1)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 6*i - 4. Calculate the remainder when g(6) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4098, -3879, -3506, -2973, -2274, -1403, -354, 879?\nAnswer: 2302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 + 37*c**2 + 163*c + 1969. Calculate i(42).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 143343961 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -80, -168, -258, -350, -444, -540, -638?\n\"Answer: -l**2 - 85*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2804*y**3 - 1545?\nAnswer: -8412*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 AM and 9:39 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/53900 and -20\/1519441.\nAnswer: 151944100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00007165 to 6 dps.\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-12)\/54 - (-306820)\/45. Suppose -3*z + k = -16327. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of -2*o**3 - 2. Let a(w) be the third derivative of w**5\/20 - 2*w**2. Give h(a(j)).\nAnswer: -54*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -32.35 + 33. Let v = 0.25 + p. Which is the third biggest value?  (a) 3  (b) 5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -35348 + 50779. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/134 and 95\/154.\nAnswer: 10318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -40*g*q**5*s - 2*g*q**3*s - g*q**2 + 7*g*q*s - 4*g*s - q**3 - 3*s wrt q.\nAnswer: -2400*g*q**2*s - 12*g*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(1*-2*sqrt(833))**2 + 0 + (1 + sqrt(68))*2.\nAnswer: -6662 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*d**2 - 27*d + 156 = 0. What is d?\nAnswer: -13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19 - 16. Let l = 6 + 12. Let o = l + -37\/2. What is the second smallest value in 0.5, o, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 307401549 divided by -13.\nAnswer: -23646273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 10772309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23.8379 litres to millilitres.\nAnswer: 23837.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 1098 = -p. Let a = p + -58. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1073111860 divided by -106354.\nAnswer: 10090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*v + 33 = -3*f, 4*f + 4 = -3*v - 20 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 - 18. Suppose f = 2*a + 3*a - 25. Suppose -74 = -a*l + 106. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*f + 957 = -10*f - 29*f for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.5 + 0.6. Let n be ((-2)\/2 + 5)*(-2)\/(-4). Suppose 0 = -4*r + 2*a + 1 + 9, -4*a = r + n. What is the biggest value in -0.3, i, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r - 2770412. Let y(k) = 2*k. Give p(y(j)).\nAnswer: -4*j - 2770412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -551228328 divided by -850661?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5850\/1125 - (-1)\/(-5). Solve -n*c - 4*l = -7, -1 = 4*c - l + 2*l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 - p + 29. Suppose -7 - 9 = -2*m - 3*t, -8 = -m - 2*t. Calculate the lowest common multiple of m and s(0).\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 102532, 411211, 925682, 1645945, 2572000?\nAnswer: 3703847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -564724*d**2 - 82*d + 82*d.\nAnswer: -564724*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 4*t - 415. Let s = 26 - 26. Let d be c(s). What is d rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4567 - 1112. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 + (43052\/(-16))\/(4\/(-32)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -261, -519, -777, -1035, -1293?\nAnswer: -1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 52*t**6 - 41*t**5 - t**4 - 87*t**2 + 11*t wrt t?\nAnswer: 6240*t**3 - 2460*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17 - 17. Suppose n - 5*j - 276 = k, -141 - 129 = -n + 2*j. Suppose 3*q = h + n, h - 262 = -2*q - q. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95 is divided by 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than -2\/787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -24*-23*114\/(-13984)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-72)\/9*(15\/6)\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-12)*b**20\/b)\/(b**(2\/11)\/(((b**(2\/3)*b)\/b)\/b)) assuming b is positive.\nAnswer: b**(214\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 2356713.01 to the nearest 1000.\nAnswer: 2357000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 24*r**3*s**2 - 23*r**3*s - 1460*r**3 - 13*r**2*s**2 - 89445*r**2*s wrt r?\nAnswer: 144*s**2 - 138*s - 8760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-1*sqrt(85) - sqrt(85)) - sqrt(85))\/(sqrt(500)*-2) + -2*-5*(sqrt(272)*-2 + sqrt(17)).\nAnswer: -1393*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -4*c**2 + 1764864*c = 0.\nAnswer: 0, 441216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -113*p**2 + 8*p**2 + 20*p**2 + 15*p**2 + 3*p**2.\nAnswer: -67*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -153*k = -151*k - 3*w + 32, 500 = 5*k + 65*w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 18*b**2*k - 262131*b**2*y**2 + 26*b*k*y - 8*b*k - 2*b*y**2 + 642*k*y**2 wrt b?\nAnswer: 36*k - 524262*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12010292699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - 88*y - 6 = 150, -d = 5*y + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -115, -237, -375, -535, -723, -945, -1207, -1515?\nAnswer: -1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 223568 bigger than 223888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 46.0004 - 46. Round o to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 372280900 and 8?\nAnswer: 744561800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1471 + 1472.509. Is u at least -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -4*x - 945. Let n be 3\/(-2)*x\/(-126). What is the nearest to -0.1 in -3, -0.01, n?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24 - (-13 + (22 - -4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of g**7\/63 - 2*g**6\/15 + 13*g**5\/30 - 2*g**4\/3 + 4*g**3\/9 + 12*g - 1. Factor h(u).\nAnswer: 2*u*(u - 2)**2*(u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43, 447, 1543, 3673, 7179, 12403, 19687?\nAnswer: 29373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8432 and 372?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -463 + 263. Let p = r - -281. Let k = p + -53. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/((-1716)\/860 - -2). Suppose -3*y + 2*y + 2*h + 54 = 0, h - n = -5*y. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 36 = -3*w. Let b be 25\/(-5)*w\/5. Solve -4*o = -0 + b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1100) + -2 + sqrt(1100) + 0 + sqrt(1100) + -5)**2.\nAnswer: -420*sqrt(11) + 9949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 a factor of 6523100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 - u**2 - u + 2. Let i be n(0). Is i greater than 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5)\/(70\/88716614) + (4 - 3). Round b to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3890256*u**2 - 11*u - 512325.\nAnswer: 7780512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2091364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q - 317 = -1276. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6606327?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -65\/2 + 33. Let p = -385.1 + 385.6. What is the nearest to v in 0.03, -2\/11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 72 + -71. Let k be (-1 + t)*(-11)\/22*1. Which is the second smallest value?  (a) k  (b) 12  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-9) - 6\/(-27). Suppose 4*b - b - 9 = l. Suppose 6*j - r - 13 = 2*j, 12 = 4*r. Which is smaller: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 566*a**2 - 268*a**2 - 300*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 291.8638l to millilitres.\nAnswer: 291863.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 - 3*i**2 + i - 1. Let k(h) = -15*h**3 + 26*h**2 - 11*h + 46. Determine 11*f(r) + k(r).\nAnswer: -4*r**3 - 7*r**2 + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 + 2*i**2 - 2*i + 3. Let r be g(-3). Suppose -5*f + 50 = 5*q - 5, 5*q - 25 = r. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -533 - 5691522859\nAnswer: -5691523392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -15*a**5 - 6309*a**4 + 182226*a**3 - 849420*a**2 + 1198056*a - 354816 = 0. What is a?\nAnswer: -448, 2\/5, 2, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (14 + -16)*(1\/(-2) + -1). Suppose g*u = -v - 0 + 12, 5*u = 5*v - 20. Solve 4 = -2*a + v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 12, b: 1}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1\/95 + -179\/1045. Let b = 0.116 - -0.384. What is the third biggest value in -0.3, b, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/64 and -49\/57148752.\nAnswer: 228595008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 - 59 + 18 = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.5 - 0.5. Let b = -0.93 + -0.07. What is the closest to o in 0.2, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -52 + 5*s + 11*s**2 + 10 + 38 in the form q*s + x*s**2 + n and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -10*p + 7. Suppose -42 = 2*d + d. Let h(g) = -3*g + 2. Let x(j) = d*h(j) + 4*a(j). Let y(v) be the first derivative of 2*v**2 + 2. What is x(y(k))?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 13 = -4*b - 5*f, f - 17 = -5*b. Solve t = -5*k - 9, -3*k - b = t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000195367 to 7 dps.\nAnswer: -0.0000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/3 + 5945\/480. Let o = 57\/32 + q. Calculate the common denominator of 3\/(-1) + (-225)\/(-110) and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.6 - 0.1. Let x = 1.63 + -1.83. Which is the second biggest value?  (a) x  (b) 2\/11  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1178*d**3 - 112*d**2 + 4*d - 135706 wrt d.\nAnswer: -7068*d - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/11181988 and 35\/464304?\nAnswer: 134183856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in 2, 0, -5, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:07 AM and 6:58 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 47.046 - 40.29. Round l to 1 dp.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s**5\/3 + 28900*s**4 - 260182*s**3 - 3641668*s**2\/3 + 7052888*s - 7631184 = 0. Calculate s.\nAnswer: -43359, -6, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 80 + -80. Which is the closest to 3?  (a) -0.2  (b) -0.4  (c) i  (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -35978 or -35522?\nAnswer: -35978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 - 11*z + 4. Let s be p(-10). Suppose 0 = s*w - 10*w + 4. Is (3 - (5 + w))*-1423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -94816\/34821 - -200\/73. What is the common denominator of 151\/18 and c?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 4*t**2 - 570. Let z(q) = q. Give z(i(v)).\nAnswer: 4*v**2 - 570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 250 = -3*i, 4*i + 117 = 3*g - 646. What are the prime factors of g?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w - 6*w**2 - 5 + 2*w**2 + 3 + w**2. Let o(q) = -35*q - q**2 + 35*q + 2*q**2. Determine -5*o(x) - r(x).\nAnswer: -2*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 - u. Let k be f(-1). Let o = k + 2. Let q be 46\/6 + o\/6. Calculate the greatest common factor of 56 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 71.5757 + 1.3143. What is q rounded to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7015 (base 8) to base 11.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 249 = -q + 9, 3*q = 0. Does 48 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125*j - 222811 = 1183372 + 29067. List the prime factors of j.\nAnswer: 2, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -4*i + 3*s, 2*i - 2 = 4*i - 3*s. Let j be i\/(-3) - (-11)\/3. Solve 2 = j*w - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11930 or -2?\nAnswer: 11930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -24 + 275. What are the prime factors of c?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 21 - -1032663213?\nAnswer: 1032663234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.96 + -5. Let a = 0.06 - y. Suppose -25 = m - 5*t, -6*t = -3*t - 12. What is the closest to a in 1\/8, m, -2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -45056319, -90112620, -135168911, -180225186, -225281439, -270337664, -315393855?\nAnswer: -360450006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 - -5.975. Let k = f + -6.675. Round k to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, c: 1, s: 1, w: 6, l: 3}. What is prob of picking 1 w, 1 z, and 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 170, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 minus 2089407414343?\nAnswer: -2089407414315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((23 - 5) + 2 + -7 - -8) + -4\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k - 1. Let d(c) = 4*c + 13. Let a(j) = -11*j. Let i be a(1). Let b(n) = -7*n - 24. Let s(w) = i*d(w) - 6*b(w). Determine 8*f(o) + 5*s(o).\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 + 19\/(-7) + 38\/14. Suppose q*u = 5*g - 496, -16*g = -14*g - 3*u - 193. Calculate the highest common divisor of g and 505.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = 3*x + 644, -60 = k - 4*x + 55. Let n = k + 130. Solve -n*p = 3*t + 15, 4*p + 0*p + 15 = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (110\/33)\/((-1)\/3). Let f be 1 - v - (-8)\/4. Let d = -7 + f. Calculate the smallest common multiple of d and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 11111?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, d: 4, q: 5, w: 5, x: 1}. Give prob of sequence qwdy.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -2\/3 + 0*s + 2\/3*s**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 266603.3000016 - 266604. Let z = -6.84 - -7.54. Let a = x + z. What is a rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 4 = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 2*v**2 + 2*v - 3. Let p(y) be the second derivative of y**4\/12 + y**3\/6 - y**2 + 5*y. Let z = -3 + -1. Let j = 7 + z. Give j*p(x) - 2*r(x).\nAnswer: -x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3360 and 29295.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 108*l**3 + 805*l**2 + 2*l - 147846 wrt l?\nAnswer: 324*l**2 + 1610*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101000010000 - -10100101?\nAnswer: 101010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1617142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -188 (base 11) to base 15\nAnswer: -e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (119\/(-238))\/(7\/10)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*h = -25*h - 35. Suppose -4*r - 6 = 10, 3460 = h*z - 5*r. Let k = z + -475. List the prime factors of k.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the first derivative of -7\/4*a**4 + 0*a + 2*a**3 + 0*a**2 + 4. What is the third derivative of m(c) wrt c?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/3, -308, 2, -5\/8069?\nAnswer: -308","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 10695183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 4*n**2 + 4*n - 12. Suppose v + 2*f = 3*v - 216, -3*f - 538 = -5*v. What is the remainder when v is divided by b(3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 21110140 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 888.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w**5\/6 - 4*w**4 - 79*w**3\/6 - 9*w**2 = 0. What is w?\nAnswer: -2, -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111 (base 4) to base 10.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 229.34709us to minutes.\nAnswer: 0.0000038224515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -4\/5, 21570, -126?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/2)\/(u*u**1))\/(u**3\/((u\/((u\/u**(-4))\/u))\/u))*(((u*u**(-1))\/u)\/u)**(5\/4)\/(u\/(u*u**(2\/5)*u))**(2\/5) assuming u is positive.\nAnswer: u**(-286\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9702)\/924)\/((-8 + -4)\/4)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*d = -191 + 208. Put -0.2, d, 1.4 in increasing order.\nAnswer: -0.2, d, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -5*q + 30. Let r be q*(-2)\/(-10)*0. Solve -z - 3*z - 8 = r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -11 - (2 + (-4 - 0)). Let z be -2 - -2*(-15)\/b. Let t = 1 - 1.2. What is the third biggest value in t, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (28\/(-12))\/(3*1\/(-81)). Let w be 20\/((-3)\/(-5) + p\/45). Which is greater: 5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -x - 6. Suppose -3*s - 48 = z, s + 3 = x*z - 20. Let a = 14 + s. Sort a, -29, 0 in increasing order.\nAnswer: -29, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/20 and 32\/165.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(5\/(-45)*-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 - 21*w**2 + 16*w - 119. Let t be h(-21). Let c = t + 461. Let g(n) = n**2 + n + 4. Calculate the remainder when g(6) is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 37 + 650897\/65 + (-9)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1 + 0. Suppose 32 = -3*l - l + 5*s, 5*l - 3*s + 27 = 0. Let j be (-5)\/15*(4 + l). Is j greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 + 0)\/(3\/(49207 - 10)). Suppose v - 2864 = 5*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6d0b (base 15) in base 13?\nAnswer: a727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -3431631 equal to -3431667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -3*q - 30. Let c be v(-11). Suppose 4*b - 10 = -3*t, -c*b + 5 - 1 = 4*t. Let u(d) = -d**3 - 2*d**2 - 2. Determine u(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -28.54 - -2.54. Which is the smallest value?  (a) o  (b) -0.1  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, w: 3, t: 1, r: 3}. What is prob of sequence rt?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 38 = -2*q, 2*q - v = v + 26. Suppose -10*n = -q*n. Suppose 4*k - 227 - 125 = n. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, d: 1, c: 2, i: 1}. What is prob of sequence cp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.5, -0.03, 5, 2.\nAnswer: -1.5, -0.03, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3099 = -24*b - 315. Does 29 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 9392, 18735, 28028, 37271?\n\"Answer: -25*j**2 + 9418*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y\/(y\/y**(1\/3)))\/y)\/y*y)**(-29))**(-6\/17) assuming y is positive.\nAnswer: y**(-116\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1188)*-3)\/((sqrt(3) - sqrt(243)*2) + sqrt(3)) + (sqrt(121) - (3*sqrt(121) + sqrt(121))*3)\/(-2*sqrt(99) + sqrt(99)).\nAnswer: 115*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/6 - 8\/(-3). Solve h*z + 16 = -s - z, 0 = 5*s - 2*z - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1146 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.86 + -0.931. Let p = l - 0.029. Let z = 0 - -4. What is the biggest value in z, -2\/9, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 + -1021211201220221?\nAnswer: -1021211201220210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 11*s**2\/5 - 351*s\/5 - 32\/5 = 0.\nAnswer: -1\/11, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 + 19*j**2 - 6*j - 50. Calculate the remainder when 82 is divided by y(-19).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 2*d**2 - 3. Suppose -4*i = -4*m - 0*i, 6 = -m + 3*i. Let w be r(m). Solve -4*q = -j + w, 2*q + 2*j = 3*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -57833, -231341, -520521, -925373?\nAnswer: -1445897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, a: 1, q: 2, k: 1, g: 1, b: 1}. Give prob of sequence kgb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4887535 to the nearest integer?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 3 - 1)*(6*m**3 - 2*m**3 - 2*m**3) + (-305*m - 410*m - 69*m)*(-4*m**2 - m**2 + 6*m**2) to o*m**2 + d*m + g*m**3 + n and give g.\nAnswer: -782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/10 - ((-359)\/90 - -3). Let s = -1\/9 - j. Put -4, 1\/5, 5, s in increasing order.\nAnswer: -4, s, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 2*x. Suppose 2*p = -1 + 3. Let d be 1\/p - (-3 + 0). Put x, 2, d in decreasing order.\nAnswer: d, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 = -4*a - 197*c + 196*c, 3*c - 38 = -4*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -4*v - v**2 - 2*v + 2*v + 5*v. Let y(g) = 4*g**2 - g + 4. Give 2*i(d) + y(d).\nAnswer: 2*d**2 + d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 + -6c4?\nAnswer: -6c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4, 0.9, 1 in descending order.\nAnswer: 4, 2, 1, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1628\/110 + (-2)\/(-10). What is the highest common divisor of 240 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -2*f**2 - 360*f + 1098 = 0.\nAnswer: -183, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -46939 divided by 962\nAnswer: -46939\/962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + -5. Let p be -1 + (-2 + -2)\/2. Let j be (p\/(-9))\/(2\/z). Do j and -1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 45 + 499*s - 59 + 14 in the form w*s + t and give w.\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78 (base 10) to base 15.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h = 2*h + 5*v - 9, 6 = -3*h + 3*v. Let k = 3438 + -3438. Sort k, 3, 2, h in increasing order.\nAnswer: h, k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 808031 and 2492?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -383, -795, -1209, -1625?\n\"Answer: -m**2 - 409*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbzbzzbzzzzb. Give prob of sequence bbbz.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 PM and 5:54 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.07 + -1.93. Suppose -l + 3*p = -18, -2*p + 24 = 3*l - 5*p. Let w = 5.34 - 5.54. Which is the second biggest value?  (a) r  (b) 5  (c) l  (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/6  (b) 1  (c) -7\/20  (d) -0.5  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -8*y**2 - 3*y**2 + 12*y**2 + 5 - 4*y. Let g(f) = -f**2 - 4*f + 1. Let o be g(-3). Let v be d(o). Solve v*w - 2*q + 1 - 8 = 0, w - 2*q - 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 4*r = -60, 3*r = 2*d + r - 42. Let z(q) = -q**3 + 6*q**2 - 2*q + 5. Suppose -28 = -5*c - 3. Calculate the smallest common multiple of z(c) and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50*(-37)\/(-31080)*1*28\/35.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*f**5\/2 - 1145*f**4\/4 + 2775*f**3\/2 + 275*f**2\/4 - 1775*f\/2 - 270 = 0. What is f?\nAnswer: -27, -1\/2, -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3148630849769496 + 3148630849769496 - 2*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24358 and 10985458.\nAnswer: 10985458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -4*m - w, 4*w = -57*m - 51 + 178 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 420000 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r = -5*r - 4*n - 28, -2*r - 2*n + 2 = 0. Suppose r*w - 2*a - 765 = -a, 0 = -5*w + a + 956. What are the prime factors of w?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2408, 2404, 2388, 2354, 2296, 2208, 2084?\nAnswer: 1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1527133763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 256193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is a94 (base 15) in base 5?\nAnswer: 34024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 122844552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 186 and 247876?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the third derivative of 0*w**3 + 2*w + 12*w**2 + 0 - 295\/24*w**4. Let h(q) = -q. What is h(g(v))?\nAnswer: 295*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 19949227 minus 0.3022702?\nAnswer: 19949226.6977298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of -11*m**7\/630 - m**6\/180 + 52*m**2. Suppose u(s) = 0. What is s?\nAnswer: -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 2. Suppose 6*c - 15 = c. Let b be 228\/21 + -8 - c. Which is greater: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -36.12 - -38.12. Let p be 3 + -4 - 1\/(-3). Sort q, -12, p.\nAnswer: -12, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 614  (b) 4  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*a**(-1)*a)**(-1\/5)*((a**(1\/5)*a)\/a)\/a**1 assuming a is positive.\nAnswer: a**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 635 > 635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 - 11*h + 32. Let z be a(5). Let b(l) = -3*l**z + 36*l - 6 + 32*l - 62*l. Let t(s) = s**2 - s + 1. What is -b(j) - 6*t(j)?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*u**3 + 67*u**2 + 21*u**2 - 3*u**2 - 6*u + 8*u**3 + 16*u in the form p + o*u + c*u**2 + x*u**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -53, -54, -55?\n\"Answer: -k - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 + 10*h**2 - h + 1. Calculate v(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 0.1, -99533, -19 in descending order.\nAnswer: 0.1, -0.1, -19, -99533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -350 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2449, 2565, 2705, 2881, 3105, 3389, 3745?\nAnswer: 4185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 775109.07 to the nearest one hundred.\nAnswer: 775100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n + 104 = 15*n. Suppose n*f + 4*p - 20 = 11*f, p - 5 = 0. Suppose -5*h + 2*v = -11, 2*v = -f*v + 4. Solve -2*b - 6 = -2*i, h*i - 2*i = 3*b - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 24.77667 - -16.\nAnswer: 40.77667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the first derivative of 8*c**3\/3 - 4*c**2 - 3*c - 403. Let f(k) = -7*k**2 + 7*k + 3. Determine 6*f(z) + 5*p(z).\nAnswer: -2*z**2 + 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -595941.38593 + 595970.6. Let u = 329.21568 - a. Let y = u + -300. What is y rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of -f**2\/2 + 6*f - 2. Let u be d(5). Let r**2 + 1 - 3*r**3 - u - r**5 + 3*r**4 = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 - 7*s**2 + 12*s - 9. Determine y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 8 = -2*x. Let y be ((-12)\/(-16))\/(x\/56). Let m = -8 - y. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) -1  (c) -281.991  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 53998\/3 + 4\/6. What is h rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 at least -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p - 4*p + 2*p)*(9*p**2 - 18 + 18) + (0 - p + 0)*(2*p**2 - 3*p**2 - p**2).\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -14*m. Let x(z) be the third derivative of z**4\/8 - z**3\/3 + z**2. Let k(a) = -4*a + 3. Let g(v) = -2*k(v) - 3*x(v). Determine p(g(f)).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28629, 28623, 28617, 28611, 28605?\nAnswer: 28599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1389465*a**5 - a**4 - 2149113*a**2?\nAnswer: -83367900*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -63 - -66. Suppose 0 = 2*t - m*x - 7, -2*x + 7*x - 55 = -5*t. Suppose -4*s = 12 - 32, -3*n + 77 = -2*s. Calculate the remainder when n is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-15)\/(-6)*(2 + (-375624)\/(-30)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 858 and 870408.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2212214415 + -4?\nAnswer: 2212214411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 0. Let g be -3*5\/3 - 0. Sort 0, b, g.\nAnswer: g, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 - 6*s**2 - 5*s - 10. Let j be t(7). Suppose 3*k + j = 5*k. Let b(z) = 4*z + 2. What are the prime factors of b(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -44*(-2 - (-12)\/8). Calculate the highest common factor of k and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*i - 17*i - 17*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5032 - -5017. What is the third biggest value in 3\/7, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91*s - 86*s + 180*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3.97 + 5944.43033\nAnswer: 5940.46033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**3 - 36*o**2 - 33*o.\nAnswer: -3*o*(o + 1)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 3*p - 3 = 0, 559*p = 4*h + 564*p - 5. Let k(l) = l**2 - 8*l + 9. Let r be k(6). Put 27, h, r in descending order.\nAnswer: 27, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeeeeeeeeeeoeeeoe. What is prob of sequence eee?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -25 times 123\nAnswer: -3075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(13\/4)*j)\/j*j**(-34)\/j*(j**(-3\/2))**20 assuming j is positive.\nAnswer: j**(-247\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -270 + 290 + -3 + -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/3 + -11 + 8.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 0 - 20*38*(-6)\/24 and 76?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*b + 58*b - 40*b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 - -17\/2. What is the closest to -0.1 in 4, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**2 + 636*z + 26595. What is h(-45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -144.78 - -147. Let x = o - 1.72. What is the fourth biggest value in 18, x, -2\/9, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*i = -48*s - 964, 23 = -13*s + 18*s - 2*i + 84 + 21 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(-3)*(-18)\/4. Let l = c - -12. Calculate the highest common factor of l and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*w = 569 - 195. Put w, -51, 5 in descending order.\nAnswer: w, 5, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -6*i + 25. Suppose 2*h + 0*d - 18 = 3*d, -i*h + 3*d + 21 = 0. Solve h*a + 12 = 2*u + 5*a, 3*u = 3*a - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n - 6. Let b be t(9). Determine z so that 0*z**3 + 6*z**2 - 3*z - 6 - 2*z**b + 3*z**3 + 2*z**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*x**3 - 42*x**3 + 14*x**3 + 11*x**3 - 6*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 6*t**2. Let h(g) = 11*g**2 + 12*g + 4. Let j(d) = 21*d**2 + 22*d + 8. Let x(y) = 11*h(y) - 6*j(y). Determine m(x(i)).\nAnswer: 150*i**4 + 240*i**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 100080606 a multiple of 426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -7*q - 1. Let z be (-20)\/((-12)\/8 + (-1)\/(-2)). Let v(j) = -6 + 2 - z*j - 5 + 6. Give 11*t(c) - 4*v(c).\nAnswer: 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*r**2 + r + 10*r**2 + 10*r**2 + 2*r**3 to the form z*r + s*r**2 + t*r**3 + i and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 58 + -60. Let g be (-4)\/14 + 128\/154. Let l = g - 29\/33. Which is the closest to l?  (a) -4  (b) w  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1201402463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 4*j - 16, 2*n - 16 = -4*j + 3*n. Suppose s + 3*s + 4 = -j*m, 17 = 3*m - s. Suppose 0 = -2*f + m*f - 102. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = i - 0*i. Let f = i - 29. Let k = f + 27. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3 - 8*u**2 + 133*u + 1163. Calculate f(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*n**2 - 3*n**2 - 3*n**2)*(-2 + 4 - 1)*(-8*n**3 + 0*n**3 + n**3).\nAnswer: 7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (72\/(-66))\/(33\/((-3630)\/(-20))) + 6. Let u be (-3)\/((-2)\/(8\/(-11646))). Which is smaller: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 530448 and 16?\nAnswer: 530448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (36\/(-63))\/((-2)\/14). Suppose 0*n = -4*n + s + 19, g*n - 4*s - 28 = 0. Suppose n*p + 74 = 5*p. What is the remainder when p is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8655114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, p: 3, t: 1, o: 5}. What is prob of sequence pp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*x**3 - 260*x**2 + 672*x + 17856.\nAnswer: -4*(x + 12)**2*(4*x - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8352971.\nAnswer: 11, 41, 18521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/2)\/((-3)\/6). Suppose -90 - 78 = -7*j. Suppose 4*b = -w*b + j. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 334 = 6*s + 34. Suppose -q - 4*q + 38 = 3*c, 6 = q + c. Calculate the highest common factor of s and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -33 + 29 - (-7 - ((-57 - -3) + 0)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -811 (base 15) to base 6\nAnswer: -12224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = b + 13, s + b - 6 = 3*b. Solve 0 = -p - 4*p + 5*n - 35, s*p + n = -8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwwwyww. Give prob of picking 4 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/12 - 1369\/(-666)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - 15*l**2 - 14*l + 3. Determine t(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3\/12)\/(1\/8). Suppose 0 = -3*d - 3, g*d - 106 + 18 = -5*n. What is the least common multiple of 14 and n?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -5190, -5308, -5498, -5754, -6070, -6440, -6858?\n\"Answer: i**3 - 42*i**2 + i - 5150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the second derivative of f**3\/3 + 11*f**2 + 3*f. Let x be 0*2*5\/(-10). What is the remainder when j(x) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-14)\/2)\/63)\/(-10*(-1)\/3)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b**5\/8 + 3387*b**4\/2 + 79465*b**3\/2 + 306476*b**2 + 730464*b - 343808 = 0. Calculate b.\nAnswer: -2686, -8, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (8 + -9)\/((-4)\/5 - -1). Let y(l) = l**3 - 6*l**2 + 5*l - 1. Let k be y(5). Suppose -2*r = r + 12. Sort k, r, w in decreasing order.\nAnswer: k, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from gccccccgctttpt.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 - 6*t**2 + t - 3. Let y be w(6). Let f = -2 + y. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - -78. Let d be 2\/((12\/(-948))\/((-1)\/2)). Which is smaller: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from akkwe. What is prob of sequence awek?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 91 = 6*c + b, 2*c - 3*b - 50 = 0. Let d = 29 - c. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - -4 - -4 - 4 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - (-2 - 0 - -2)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 76362242503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 14) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 + 1. Let m be 12\/(-3)*3\/o. Which is smaller: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6.5*458.\nAnswer: -2977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -710*u + 100 = -735*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 2*y - 14. Suppose 0 = -0*t - 2*t - 4*z + 14, 0 = t - 3*z - 17. Let o be g(t). Solve -3*p = -3, -2*a - o = 5*p - 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.29 - -0.01. Let d = 42.5 + -37.5. Which is the nearest to m?  (a) d  (b) -2\/17  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/2 in 24, -5, 2\/11, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cckkcjckccccjcck. What is prob of picking 2 c?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + 16 - (0 + -2 - (1 - -1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -88838*c**3 + 44418*c**3 + 44419*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -817.56 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add 6074.71 and -505112302.\nAnswer: -505106227.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from {j: 1, f: 3, h: 1, s: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 131638?\nAnswer: 2, 13, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 212.9272 greater than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2988412 * 4\nAnswer: -11953648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 33529551 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-15)\/(-4))\/((-6)\/(-560)). Suppose 9*p + 993 = -1239. Let l = p + x. Calculate the highest common factor of 68 and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - p = 2, 3*q - 7*q + 3*p + 11 = 0. Let g = 58 + q. Let o be 8\/28 + g\/21. Solve o*y = 4*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w, 1 y, and 1 b when four letters picked without replacement from {t: 4, y: 6, b: 2, w: 6}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -2*v + 1. Let m be t(1). Let d be (m + 2)\/(3\/1). Let f = -1 - 4. Which is the nearest to -2\/3?  (a) f  (b) -1\/2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6398031*w**3 - 3199013*w**3 - 3199007*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 - 20*r**2 - r - 5. Let w be y(-20). Solve 2*g - w = -3*h, -5*h + 2*h = -2*g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -90*w**3 - 92*w**3 + 181*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -125 - 4*i + 126 + 111*i**2 + 0*i to q + b*i + f*i**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 291*q = 320*q + 15399. Let p(t) = t**3 + 20*t**2 + 31*t + 89. Let a be p(-20). Is a > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.5 and 2062.\nAnswer: -3093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 7, 4, -134, -4, 2 in decreasing order.\nAnswer: 7, 4, 2, -1, -4, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 4*t**2 - 5*t + 6. Let j(v) = -v + 1. Suppose -16*h - 114 = -194. Calculate h*j(w) - p(w).\nAnswer: -4*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 246872, 246964, 247056, 247148?\nAnswer: 247240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 2*v**4 + 3342*v + 1 + v**2 - 3371*v to the form f*v**4 + m*v + k*v**2 + c + x*v**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46 = -239*u + 79*u + 1874 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -9*d**2 - 3*d - 2. Let w(l) = -37*l**2 - 13*l - 9. What is -18*h(g) + 4*w(g)?\nAnswer: 14*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 2170126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*r - 18*r - 23*r - 74*r**2 + 60*r.\nAnswer: -74*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 492 is divided by 260?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2147046044)\/66 + (-6)\/(-63)*(12 - 5). What is c rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -4085*t**3 - 27*t**2 - 9*t. Let k(b) = 4086*b**3 + 30*b**2 + 10*b. Determine 9*k(q) + 10*l(q).\nAnswer: -4076*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 5*u = -230, -2*h = -5*h - 5*u - 138. Find the common denominator of h and 6 - (105\/(-25) - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 439 + -1a5?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4480127 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, f: 4, i: 2, v: 2}. Give prob of picking 2 f and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 12\/42 + (-46)\/14. Let w = l - -9. Let o be ((-12)\/(-8))\/(w\/20). Solve -6*k = -k - o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 7547  (c) 0.3524\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 197933.\nAnswer: 197933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 15355779 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/7450 and -49\/386804.\nAnswer: 9670100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -682 - -1?\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3, -2, -1, 0, 1?\n\"Answer: y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 - 210346?\nAnswer: -210354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -j**2\/5 - 298*j\/5 - 22201\/5 = 0.\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c*c*c*c\/(c\/(c*c\/(c\/(c*c*c\/(c**(-1)*c)))))*c)**(-27)*(c\/c**1)**(2\/53)*c**0\/c**(-3)*(c\/(c\/((c\/(c*c**(-1\/3)\/c))\/c)))\/c**(-2) assuming c is positive.\nAnswer: c**(-794\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -346 - -531. Suppose -2*x - 2*g + 59 = -g, 5*g = 5*x - v. Find the third derivative of x*n**4 + 9*n**4 + 31*n**4 - 110*n**4 + 36*n**2 wrt n.\nAnswer: -912*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1027419385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 16.15 and -0.05.\nAnswer: -0.8075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(450) + 2)**2 + 2 + -5 + -4 + (sqrt(250) - (sqrt(250) + (-1*sqrt(250)*-2 + sqrt(250) + sqrt(250) - sqrt(250))))\/sqrt(5).\nAnswer: 45*sqrt(2) + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 127883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*s + 5*w = -22, -106*s + 111*s + 3*w = -4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.4, 0.3, 0.84, -793 in descending order.\nAnswer: 0.84, 0.4, 0.3, -5, -793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -60.45999 and -2.\nAnswer: 120.91998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.1  (b) -0.07  (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -76*l + 32*l + 904772. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18672637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:20 PM and 9:56 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + sqrt(98)*1 + (sqrt(48)\/sqrt(6))**2)*-3.\nAnswer: -24*sqrt(2) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 35*p**2 + 645*p + 270.\nAnswer: 5*(p + 18)*(7*p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 2*q**3 - 445342*q**2 + 24777598608*q + 1513091086632 = 0.\nAnswer: -61, 111366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -7 + 0*g - 5*g + 4*g. Let k be u(-5). Which is the closest to k?  (a) 2\/7  (b) 0.5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of 2*w**3\/9 - 8*w**2\/3 + 32*w\/3 - 1. Factor z(i).\nAnswer: 2*(i - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - (-9 - 1)) + (-43 - (127 + -157))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 204 + -204.000095. What is o rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.10863725251 rounded to four dps?\nAnswer: 0.1086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -13*f - 2. Let p be (4\/(-12))\/(((-2)\/30)\/1). Let m(j) = -j**2 + 5. Let g(d) = -2*d**2 + 12. Let b(t) = p*g(t) - 12*m(t). What is x(b(s))?\nAnswer: -26*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + 5*x - 900. Suppose -24*z - x = -19*z. Let l = -0.65 - 0.35. Which is the smallest value?  (a) l  (b) z  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18016 (base 11) in base 4?\nAnswer: 12023122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-35)\/(-49))\/(((-10)\/35)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 2*a - 6 = 0, -7*r - 5 = -5*r + 3*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 4:04 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -6*f - 32. Let c(r) = -2*r - 11. Suppose -130 = 20*g - 2*m, 2*m - 4*m = -4*g - 34. Determine g*x(h) + 17*c(h).\nAnswer: 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-72)\/(-1056) - (-2)\/11\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, 156 in decreasing order.\nAnswer: 156, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 times -92.123?\nAnswer: 644.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2 + 1585732*q + 314318246978.\nAnswer: 2*(q + 396433)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2*v**3 + 51*v**2 + 62*v + 32. Let d be b(-24). Solve d*q - 12 = 276*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 7391 = -y, 29591 = 4*y + r + 2*r. Suppose -2*v - 3*v = -y. Let l = v - 1049. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 139540 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes after 3:11 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 + 10*l**2 - 8*l + 1. Let r be a(9). Suppose 3*k - r = k. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2 + 1. Let i(k) = -2*k**4 + 2*k**2 - 1. Let f = -2 + 3. Let p(u) = f*i(u) + 2*c(u). Differentiate p(n) wrt n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 4*x - 5*x + 10 = 0, 0 = 2*h + x - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*d**3 - 15*d**3 + 4 - 8 - 87*d**2 + 4 as c*d**3 + t*d + l + h*d**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 4*p = 3 + 1, -5*y + 8 = -3*p. Suppose 0 = r + 1 - y. Let u = -1 + r. Calculate the remainder when 3 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3302 (base 5) in base 3?\nAnswer: 121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 9*c**3 - c**2 - 9*c + 3. Let j(d) = -11*d**3 + d**2 + 11*d - 1. Let u(z) = -6*f(z) - 5*j(z). Give u(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1251936 divided by -625968.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 2*k = -3*i + 1209, i + 3577 = 3*k. Is k a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -81907.7 to the nearest 1000.\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 - 2*h**2 + 6*h - 5. Let t be n(-4). Let r = 755 - 752. Solve -2*o = r*o - g - t, 2*o = -5*g + 12 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -98*k**2 + 11961*k - 625. Give n(122).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*q - 973 = 215. Calculate the remainder when 2375 is divided by q.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -370209606*m**3 - 44876053*m**2.\nAnswer: -2221257636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m + 2 - 2 + (22*m - 6*m - 14*m)*(-4 + 1 + 2))*(2*m + 0 + 0).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 7 = -d, -14*j - 2*d = -10*j + 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 53 + -49. Suppose -v*u = u - u. Suppose -4*r + 651 - 139 = u. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -132*a**3*t + 379370*a*t - 8644*t - 9817 wrt a?\nAnswer: -396*a**2*t + 379370*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 152183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1368771069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of -13*z**6\/2 - 14*z**2 + 25. What is the second derivative of k(w) wrt w?\nAnswer: -780*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 232 and 48952.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 188*x - 9 = 185*x. Suppose -x*y = 4*d - 85, 17 - 48 = -y - 2*d. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3996, -3997, -3998, -3999?\nAnswer: -4000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1425, 1152, 881, 612?\n\"Answer: v**2 - 276*v + 1700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cuqzj. Give prob of picking 1 j and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((-1 + sqrt(288)*-1 + -5)**2 - (2 + sqrt(288) + 3*(sqrt(288)*5 - sqrt(288))**2)).\nAnswer: -13502 + 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 18190757 less than -6?\nAnswer: -18190763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 - 3*r. Let l be c(2). Let v = 4\/9 + 11\/36. What is the closest to l in v, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 1)*(1 + 1 - 1)*(2*w**4 + 312*w - 247*w - 4*w**4).\nAnswer: -2*w**4 + 65*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -18*b**3\/7 - 1728*b**2\/7 + 2*b\/7 + 192\/7 = 0. Calculate b.\nAnswer: -96, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 1\/10 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.175 - -0.275. Let o = 0.21 - y. What is the smallest value in 2, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 6*w**3 + w**2 + 2. Let o be a(2). Sort -1, 4, o, 1.\nAnswer: -1, 1, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m. Let d(p) be the third derivative of 5*p**5\/6 - 2*p**3\/3 + p**2 - 69. Give f(d(q)).\nAnswer: -100*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23303.7 - 25348. Let l = x + 2169. Let w = -119 + l. What is w rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*z - 24*z = 97. Let x = z + 158. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/2)\/(-4 + (-42)\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -54 - -129. Let s = 73 - g. Which is the nearest to -17?  (a) 0.2  (b) s  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 - 11)*2 + 2. Let h = v + 20. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 0 + 2*k - 3 + (840 + 27*k - 840)*(-3 + 5 - 3).\nAnswer: -25*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in twenty-five eighths of a kilometer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5762 is divided by 1920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25142 - -36105. Calculate the highest common divisor of u and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -50*g**2 - 6*g - 141. Let i(m) = 50*m**2 + 8*m + 142. Let o(f) = 3*i(f) + 4*l(f). Differentiate o(u) wrt u.\nAnswer: -100*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - 3273*q = -3275*q + 120, 0 = 5*g - 8*q + 380 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 30\/3 + 81\/(-9). Let c be (20\/80)\/(q\/8). Factor -8\/9*p + 2\/3 + 2\/9*p**c.\nAnswer: 2*(p - 3)*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -3*m + 10. Let d = 14 + m. Suppose -d*q - 64 = -y, 3*y - 6*y = -2*q - 142. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 998 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 34*z**2 + 9*z**2 + 9*z - 9*z + 8 to the form s*z**2 + n + c*z and give s.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssekyesssefhe. Give prob of sequence sy.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -0.5, 0.1, -3, -747\/10 in decreasing order.\nAnswer: 0.1, -0.4, -0.5, -3, -747\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 146*x**2 - 141*x - 5. Let b(h) = -144*h**2 + 141*h + 6. Let r(w) = -6*a(w) - 5*b(w). Find the second derivative of r(u) wrt u.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 65\/2 in 71\/5, 1\/4, -1, 0.037?\nAnswer: 71\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 29646107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 338\/9 in 9\/37, 0.1, -1?\nAnswer: 9\/37","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 3*a = 9, 0 = q - 0*a - 2*a - 12. Let w be (-3 + q)\/(1\/(-3)). Is 125 + -1 + 0 + w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes before 12:02 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -95296 divided by -5?\nAnswer: 95296\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 10 = 25. Let n(v) = v + 12. Let o be n(-10). Let w(k) = o - 4 - k**2 + 0 - k - 3*k. What is w(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d**5 + 420*d**4 - 8348*d**3 - 148436*d**2 + 8352*d + 148016 = 0. Calculate d.\nAnswer: -11, -1, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 7, k: 2, i: 3}. Give prob of picking 2 k and 1 i.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from etattotyyeyyeyootee. Give prob of picking 2 t.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1349 - 2369 + 1020 - 17*g**2 - 557*g**2.\nAnswer: -574*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 0.03, -3\/5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -219 + 132. Which is smaller: -0.2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 7*f**2 + 5*f + 5. Let d(s) = -3*s**2 - 2*s - 2. Let x = 3044 - 3048. Suppose -5*q = -0*g - 3*g + 47, -38 = 4*q - 2*g. Calculate q*d(v) + x*z(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n**2 + n**2 + 0*n**2)*(10*n**2 - 5*n**3 - 10*n**2) + 3*n**5 + n**5 - 2*n**5 + 2*n**5 - n + n + (3 - 2*n**2 - 3)*(n**3 - n**3 + 2*n**3).\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -48*b**2 - 21*b + 1. Let y(w) = -26*w**2 - 11*w. Let q(z) = 6*x(z) - 11*y(z). Determine q(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (16 - (-13 + -9 + 29))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 22 = 5*k, 0 = q - 0*q + 4*k - 11. Let v be (2 - q)\/(3\/(-24) - 0). What is the tens digit of v\/12*6*33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.04051 + 0.15949. Put 2, 1\/2, 10, -4, p in ascending order.\nAnswer: -4, p, 1\/2, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 + 1 = 3*i. Suppose -5*v - 1 = -46. What are the prime factors of 146\/i + (-2)\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-43)\/5 + 1)*((-294)\/(-70) - (-644)\/(-70))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/8 - (-105)\/(-28). Let z be (-5)\/(-3) + h\/(-12). Suppose 5*o = z + 3. Put 0.5, -2, o in increasing order.\nAnswer: -2, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 + -a018?\nAnswer: -a017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 13\/((-234)\/(-84))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 330 and 15410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 864 - 863.5. Put -0.1, p, -2\/23, -1 in increasing order.\nAnswer: -1, -0.1, -2\/23, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4649 is divided by 2246?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -471917 or -472032?\nAnswer: -471917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10053\/28 - 2887\/8. Calculate the common denominator of 139\/70 and u.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - (-31955)\/(-10703))\/1?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14653487261052 less than -92?\nAnswer: -14653487261144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -11536 divided by 1?\nAnswer: -11536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20222012110100 (base 3) to base 8.\nAnswer: 16103076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*r - 2*r + r)*(-1 - 3 + 2) + (2*r - 2 + 2)*(1 - 1 + 2))*(-1 + 3 + 1).\nAnswer: 42*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**2 + 7*z + 6. Let f be h(-7). Suppose f = 2*o, -5*o + 15 = -3*w - 0*o. Suppose w = 2*x + 37036 - 11636. Round x to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -30 + 39. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.9502758 - 3.95. Round t to 5 decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42569 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/6 - 4\/132. Suppose -4*x = 5*w - 16, 5*w - 12 = -9*x + 6*x. Which is bigger: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 311 in 0.05, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -37, -69, -105, -145, -189?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - 98*a + 20 = -102*a, 7*f = -a - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b**2 - 15*b - 8. Let g be p(8). Let u(t) = -5 + 2*t**2 - 3*t**2 + t + 5*t. Let z(i) = i. Let x(o) = -u(o) + 5*z(o). What is x(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7163 + 7163. Which is the nearest to -0.1?  (a) 2\/83  (b) 1\/7  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -13*f + 0*f + 10*f + 11*f. Let z(x) = x. What is z(q(s))?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 303*m + 321*m + 20931 = -316*m - 2569 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(4\/39)\/(j\/((j*j\/(j**(12\/13)*j))\/j)*j))\/(j*j**11)**(1\/35) assuming j is positive.\nAnswer: j**(-4318\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 11) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -2*t**2 + 7*t + 2. Let d(r) = r**2 - r. Suppose -5 = -v + 5*c + 18, 0 = 3*v + 5*c + 11. What is v*d(q) + p(q)?\nAnswer: q**2 + 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 - 10*c + 277. Suppose 258 + 80 = 26*u. Let f be p(u). Put 2, -4, f in decreasing order.\nAnswer: 2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 19438, 19436, 19452, 19492, 19562, 19668, 19816?\n\"Answer: s**3 + 3*s**2 - 18*s + 19452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -364422 divided by 10\nAnswer: -182211\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2096, 3175, 4254, 5333, 6412?\n\"Answer: 1079*g + 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the first derivative of 3*i**4\/4 + i**3 - 6. What is the third derivative of z(s) wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*p**2 + 1 - 5*p**3 + 14*p + 11*p**3 - 7*p**3 to the form r + u*p**3 + n*p + f*p**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 26 = 3*f, 7*u + 9 = 6*u + 2*f. Let j = 4.5 + -5. Which is the second smallest value?  (a) -4  (b) 2\/3  (c) u  (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times -5.62?\nAnswer: -1.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-90)\/(-18))\/(-2*(-4)\/(-16))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(4\/29)\/j**(1\/3)*j**(2\/25)*j\/j**(-5) assuming j is positive.\nAnswer: j**(12799\/2175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hxu when three letters picked without replacement from {r: 1, l: 1, p: 1, h: 1, x: 1, u: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 2. Suppose -1 = -z + k. Solve 0 = -4*g + 13 + z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.1233 rounded to one decimal place?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 349.1677 + -350.84. What is s rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of 4*z**3 - 315*z**2\/2 - 6*z + 211. Determine u(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n + 9. Let q be d(-7). Let c be (-33)\/((-165)\/(-70)) - -56. Solve 10 = -5*m + 4*x + c, 0 = -m - q*x - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1051316 + 53*l + 1051316 + 4*l**2 to y*l + k + f*l**2 and give y.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7690)\/390 - (-7930)\/390?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 59 divided by -12\nAnswer: -59\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 396653495 to the power of 1\/2, to the nearest integer?\nAnswer: 19916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1728 + 2977. Let f = n + -509. Round f to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14124 by 3.\nAnswer: 4708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 582488787?\nAnswer: 3, 194162929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -33927 + 60236. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/(k**(-12)*k)*k**(9\/4)*(k**(2\/21)*k)**(-20\/3) assuming k is positive.\nAnswer: k**(1751\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of -b**3\/6 - 73*b - 71. Let d(q) be the first derivative of h(q). Let s(w) = 7*w. Calculate d(s(i)).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*y - 184*n + 182*n + 30, 5*y - 5*n = -25 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the third derivative of 97*i**6\/120 - i**5\/60 - 5*i**4\/24 - i**3\/6 + 12*i**2. Let x be b(3). Let t = x - 1807. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 125 + -118.1. Let p = i - 6.89918. Round p to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 + 80. Suppose 5*y - 32 = m. Solve -4*i + 7 = y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**2 - 21876*o + 847080.\nAnswer: 4*(o - 5430)*(o - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-9)\/(10\/(5170\/(-33))). Let z(t) = -15*t**2 - 3*t - 2. Let j be z(-3). Let v = c + j. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01142516 rounded to five dps?\nAnswer: -0.01143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 549 + -545. Calculate the smallest common multiple of 1418 and d.\nAnswer: 2836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7 + 1804346?\nAnswer: 1804354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 + (3 - -1 - 3). Suppose -3*w - 3 = -3*d + 6, c*w - 5*d = -19. Solve w*y + y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 + 7. Let c be 3 + -1 - (b - 1). Is -2 - -19 - (c - 0) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (38 - 39) + 14 + (2 - (12 + 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.97801 * -0.3\nAnswer: 0.293403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 121011012101220 (base 3) to base 16.\nAnswer: 8301ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -297123*988\nAnswer: -293557524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 811 = s + 3*j, -15 = 3*j. Let a = s - 81. List the prime factors of a.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 - 5*o**2 + 2*o - 5. Let b be l(5). Suppose 0 = -b*i + i. Let h(d) = -d - 1. Calculate h(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g**3 + 0*g**3 + 3*g**4 - 5*g**4 + (3*g**2 - g + g)*(-4*g + 9*g + 2*g)*(10*g - 7*g - 39*g).\nAnswer: -758*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -25195248 at most -25195246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 6\/15115 and -9\/33017206.\nAnswer: 165086030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, 15, -1, 6, -4, -17 in decreasing order.\nAnswer: 16, 15, 6, -1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 7*t**2 + t + 12. Let i(n) = -4*n**2 - n - 6. Let m(k) = 5*i(k) + 3*j(k). What is the units digit of m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/3 or 3890?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = b + d, 0*b - b + 22 = -5*d. Suppose 19*u + b = 21*u. What is the least common multiple of 20 and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 76477?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -8. Suppose -3*n + 4 = -2*z - f, 0 = 5*n + 3*z - 32. Let q be 2*-1 - -1 - -8. Solve 5*k + 2 = 2*i + q, -n = 5*i - 4*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 30 = 5*n, m = -2*n - 9 - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 7, 214, -3, 2, 31, 5 in descending order.\nAnswer: 214, 31, 7, 5, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6.37 and 10.27849.\nAnswer: -65.4739813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -20*t**2. Let m(b) = 1242*b**2. Determine y(m(f)).\nAnswer: -30851280*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(325))**2*-3*-3.\nAnswer: 2923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -99 + 99. Suppose 3*u + 497 = t, 3*u + a*t = 5*t - 493. Let s = 305 + u. What is the remainder when s is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10250*k + 76*k**2 + 10250*k + 62*k**2 + 267*k**2.\nAnswer: 405*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -122101002102 (base 3) to base 13.\nAnswer: -bc861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 135768 divided by -24?\nAnswer: -5657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15729*b**5 + 65396*b wrt b?\nAnswer: 314580*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.7, -1\/48, -2.4 in decreasing order.\nAnswer: -1\/48, -0.7, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, d: 5, j: 3}. Give prob of picking 1 d and 1 j.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add -147.7 and 1.\nAnswer: -146.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 227231 is divided by 87?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3303234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d + 19 - 9 - 2 + 4. Let x(y) = 2*y - 13. Let b(i) = -3*s(i) - 4*x(i). What is the first derivative of b(j) wrt j?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12515 + -7440. List the prime factors of x.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 136 = -4*y, 5*y = 3*p - 5*p + 163. Let a be 1\/4 + 2\/(-8). Suppose a = 5*n - 55 - 25. Calculate the remainder when y is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(-9)*-3 + (-1 - -6). Suppose -19 = -2*r - 5*j + 14, -p*r + 54 = -2*j. Calculate the remainder when 124 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*q**3 - 79*q + 4*q**3 + 86*q)*(0 - 2 + 6) to c*q**2 + a*q**3 + k + r*q and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12574 or -12575?\nAnswer: -12575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -183 + 244. Suppose -w*b + 55*b + 30 = 0. Solve 4*j - 1 = -b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - -3. Let z(x) = -14*x**3 - 2*x - 1. Let k be z(-1). Let r be ((-15)\/(-10))\/(k\/4). What is the smallest value in r, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 75 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2874, -2973, -3036, -3063?\n\"Answer: 18*n**2 - 153*n - 2739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 6\/11  (b) 1\/10  (c) -1\/2  (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -44031 + 44031 + 168*w**2 - 643*w**4 + 731*w**2 wrt w?\nAnswer: -15432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*z + 70*z = 70. Which is the second biggest value?  (a) -0.2  (b) z  (c) 0.115  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13) + 6*sqrt(13)*-1 + -6*sqrt(13)*-1.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, m: 1, u: 1}. What is prob of picking 1 m and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2. Let y(k) be the second derivative of k**4\/4 + 7*k. Give w(y(s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 - (-4 + (-6)\/(-3)). Find the first derivative of o*p**2 + 2 - 1 - 1 + 3 wrt p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14*i**4 + i**3 + 116*i**2 - 974*i - 6.\nAnswer: 168*i**2 + 6*i + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 36 by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*n - 19. Let u = 28 - n. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25954967 is divided by 3451.\nAnswer: 3447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2231*s**2 - 739*s**2 - 756*s**2 - 740*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 161 + -157.26. Let s = 3.83 - n. Which is the nearest to 0?  (a) -3  (b) s  (c) 4\/9  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -16, 5, 1406 in decreasing order.\nAnswer: 1406, 5, 2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -17*f + 3. Let m(l) = -l - 1. Let r(n) = g(n) - 4*m(n). Let v(b) = -6*b + 3. Let o(q) = -3*r(q) + 7*v(q). Give o(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 3*n**2 + 425*n - 13. Let d(y) = 2*y**2 + 214*y - 8. Calculate -5*d(i) + 3*f(i).\nAnswer: -i**2 + 205*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 AM and 8:48 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-27)*j**14*j assuming j is positive.\nAnswer: j**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2787824 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1258, -2117, -3542, -5533?\n\"Answer: -283*y**2 - 10*y - 965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -194*j + 4736774 = -124951 - 2745209. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 + 2*m**2 - 2*m - 1. Let k be f(-2). Solve -q - 5*p = -15, -4*q - 5*p + 4*p + k = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13010144 - 0?\nAnswer: -13010144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**4 - 180*q**3 - 510*q**2 - 500*q - 165.\nAnswer: -5*(q + 1)**3*(q + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2912 and 204178.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3302 and 1397?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1229\/2 or -614?\nAnswer: -614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 88021.36 seconds?\nAnswer: 88021360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of n**3\/3 + 7*n**2\/2 + 9*n - 5. Let q be 1\/6 + (-74)\/12. Let m be u(q). Which is the nearest to 0?  (a) 0  (b) -1\/4  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-64)*-4*(-40)\/2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 - 6*u - 4. Let a(w) = w**2 - w + 0*w + 2*w. What is the remainder when z(-4) is divided by a(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -0*r - 5*l, -5*l = 0. Let a(o) = -o**2 + 6*o - 4. Let k be a(5). What is the derivative of j + k + r*j + j wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6*3\/(-9))\/(((-54)\/(-12))\/9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 9  (b) -12\/23  (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 1611720917?\nAnswer: -1611720916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u + 1. Let m(h) = -3*h + 14. Let b(d) = m(d) - 4*r(d). Let j = -8 - -26. What is the remainder when j is divided by b(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3411141322 (base 5) to base 7\nAnswer: -120634314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 2*a - 13, 5*a - 19 = -3*n - 9. Let y(x) = 2*x**2 + 3*x. Let q be y(-3). Sort a, 3, q in increasing order.\nAnswer: a, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -23*b**5 - 12*b + 12*b + b**5 - 4*b**4 + 4*b**4 + (-b - 1 + 1)*(0*b**4 + b**4 + 2*b**4).\nAnswer: -25*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5082 and 234.09.\nAnswer: -4847.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6.7*-159.\nAnswer: 1065.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -5201 (base 6) in base 11?\nAnswer: -959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12331 - -12413. Solve 3*f = t + 6, 3*t = -5*f + j - 86 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 256117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 2876805.874 to the nearest ten thousand.\nAnswer: 2880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 53 + m + m**2 - 34 - 30. Let t be j(7). Suppose -4*g + 3*i = -129, 6*i = g + i - t. Solve 5*s = -a + g, 2*s + 0*a - 2*a = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 62563670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -238*h - x + 5 = -240*h, h = -2*x + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3234?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = 5*q + 4*u - 20, 0 = 4*q + 4*u - 60. Suppose -564 = 2*r - 6*r. What is the lowest common multiple of r and q?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.9, 5, 371, 19, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.15 and -1?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (1 - (0 - 11)) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 - 1. Suppose c = -5*h - 3*o + o + 26, -10 = -3*h - 4*o. What is the remainder when (-2)\/4 + (-42)\/(-4) is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 5 = 0, 17*f - 18*f - 1 = 2*n. Suppose 0 = n*t + 8 + 4. What is the nearest to 1\/3 in t, -1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6859274 divided by 7?\nAnswer: 6859274\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 + 808*i + 9412. Calculate x(-12).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*r + 5*r + 1044 = 0. What are the prime factors of r?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - 7*q - 17 = -3*z, -21 = -5*z - 2*q. Let s(f) = -f - 6. Let k(c) = 1. Let l(b) = z*k(b) + s(b). Calculate l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 - 13*a + 44. What is x(-15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -183967207*p**3 + 584903977*p**2 wrt p.\nAnswer: -1103803242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -4*w**5 + 5*w**2 + 2*w. Let f(a) = a**5 - 35*a**3 + 35*a**3 - a**2 + 0*a**2 - a. Let y(b) = 2*f(b) + h(b). Find the third derivative of y(p) wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 28, -4, -36, -68, -100?\n\"Answer: -32*b + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.03 + 0.063. Let y = w - 0.0329971. What is y rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of -7*y**2\/2 - 12*y + 1. Let a be (-1)\/3*(63 - 30). Does 13 divide h(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 634, 836, 1384, 2452, 4214, 6844, 10516, 15404?\n\"Answer: 29*j**3 - j**2 + 2*j + 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1018*p - 985*p - 891 = 0 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 + 2)\/(-1) - -1. Suppose -t*x - 3*x = -10. Let u be (x - (3 - 2)) + 2. Which is the third smallest value?  (a) u  (b) -4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(3\/(-2))*1*-6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-9))\/((-10)\/(-45))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 16*r**2 + 2. Let u(k) = 5*k. Give n(u(a)).\nAnswer: 400*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11\/2, -3, -3339, -2\/13 in decreasing order.\nAnswer: 11\/2, -2\/13, -3, -3339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 29361480 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, c: 7, f: 2, y: 1}. Give prob of sequence cf.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 3) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 174851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1285264.46 and 0.2.\nAnswer: 1285264.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2*s**3)*(-4973 - 3078 + 1178 + 323).\nAnswer: -13100*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1220.367 days?\nAnswer: 105439708.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 870 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2836 - -4965. List the prime factors of v.\nAnswer: 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 + -11. Let f(v) = -7*v. Let j be f(s). Suppose -3*k = -4*d + 1, 3*d + j = 2*k - 7*k. Which is the third biggest value?  (a) 1\/2  (b) -0.5  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*l - 26 + 26 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-w + w + 6*w)*(-1 - 2 + 5)*((1 + 1 - 1)*(2 - 3 - 1) + 0 + 1 + 0 + 4 - 4 + 1 + 2955 - 1659 - 1686) to l + m*w and give m.\nAnswer: -4680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -15246 divided by -186\nAnswer: 2541\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 8, 3*v - 4 - 3 = -2*y. Suppose v + 2 = s. What is the derivative of -1 + z + s - 1 wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 4226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 92197124 to the nearest integer?\nAnswer: 9602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 - 14 = 2*u. Let f(b) = -2*b + 19. Calculate the remainder when f(-10) is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1652 + 20*r - 19*r - 1671.\nAnswer: r - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**3 + 2*y**2 + 8*y - 9. Let u be x(4). Let f(i) = -6*i**2 + 1. Let h(c) = 13*c**2 - 1. Give u*f(j) - 4*h(j).\nAnswer: 2*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 - (-55 + 48 + 15)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 70*l - 358. Let k be p(30). Suppose -k = -5*t - 262. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1387, -2783, -4181, -5581?\nAnswer: -6983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 592419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 4*a**3 + a. Let o be p(-1). Let y = -218233 - -218233.4. What is the third biggest value in -2\/19, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -6 + 9 + -1 + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138119 is divided by 325?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-84 + 105)*(-1)\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/11616 and 41\/4752.\nAnswer: 104544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-184)\/115*((-141)\/6 + (-12 - (-14 + -4)))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2496*g - 10559. What is d(-4)?\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*o**2 - 315*o - 4437 + 4416 + 294*o in the form g + r*o**2 + t*o and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 252541, 505113, 757685?\n\"Answer: 252572*j - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*o + 3*o - 910*o**2 - 4*o + 937*o**2 as b + g*o**2 + v*o and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = 3 - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -17*t - 19. Let k(y) = 8*y + 9. Let h(j) = -6*d(j) - 13*k(j). Calculate h(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14758.1 - 14758. Let o = 7 - 12. What is the closest to -2 in o, f, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n = 4*g + 20, 5*n - 6*g - 16 = 4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*c - 195*c - 207*c - 243*c.\nAnswer: -631*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1336 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1221?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46709 is divided by 3574.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2 + -1)\/4)\/(21\/84).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -626*t + 407 wrt t.\nAnswer: -626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27, -53, -79, -105?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2304*z**2 - 966*z.\nAnswer: 4608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times 1.684?\nAnswer: 3.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -32 - -41. Suppose -l*w - 8 = 37. Put -0.2, 3\/8, w in increasing order.\nAnswer: w, -0.2, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 104 and 22.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 + -1. Let s = v - 10. What is the smallest value in 0, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -766 (base 13) to base 14\nAnswer: -667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3*((-19)\/3 + 5). Suppose 0 = i*c - 17*c. Let x = 12 + 0. Solve -4*l + u = -u + x, -l - u = c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1195*z + 224*z**3 + 710*z**3 + 50*z**3 + 215*z**3 wrt z?\nAnswer: 7194*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*p + 7*p = 92282 - 15646. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 6*a + a. Let n(z) be the third derivative of a*z - 1\/5*z**3 + 1\/300*z**6 - 1\/12*z**4 + 0 - 1\/150*z**5 - z**2. Factor n(l).\nAnswer: 2*(l - 3)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 7212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(-2) - 6\/(-60).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 874484.7ng in micrograms?\nAnswer: 874.4847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 42.31 - 42. Let k = -0.41 + j. Which is the nearest to 0?  (a) k  (b) 4  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(209) - sqrt(209)*2 - sqrt(209))*-4 + sqrt(209) + -4*sqrt(209)*2)\/(3*2*sqrt(396) + sqrt(396)).\nAnswer: sqrt(19)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 8:16 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001745 rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 PM and 7:00 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/20 of a hour?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 20975?\nAnswer: 20975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 divided by -3769?\nAnswer: -7\/3769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 219780 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1380458305 is divided by 770?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q + 1. Let n be -5 + 7 + -25 + 11. Let y(m) = 38*m**3 - 12*m - 12. Calculate n*u(x) - y(x).\nAnswer: -38*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26, -139, -394, -845, -1546, -2551?\nAnswer: -3914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1925802 divided by 2?\nAnswer: 962901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, s: 3, u: 1, y: 6, z: 2}. What is prob of picking 2 s?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 - 17 - 3\/1. Let u be (-349460765)\/x - (-1)\/(-4). Let i = u + -26573038. Round i to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -1. Suppose -11 - 34 = -3*x. Suppose x = -29*o + 32*o. Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 14?  (a) 1  (b) -34.2  (c) -1  (d) 2\/3  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1292?  (a) -1  (b) -2\/7  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 3*k + 2 = k, 2*a = -2*k + 4. Solve a*w + 0*w - 1 = -3*o, 4*o - 2*w = -8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20813491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30 and 116940?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 270 and 2106?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 455 = 50*d - 95. Solve 9 = 4*j - d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -80066, -79967, -79868?\nAnswer: -79769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 518, 512, 506, 500, 494, 488?\n\"Answer: -6*y + 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 250 - 222. Let p = q - -452. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/5 < -9963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5129 + -5007. Solve 121*j - 2 = i*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -46*q**2 - 476959*q + 108194341 wrt q.\nAnswer: -92*q - 476959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 + 5*i**2 + 4*i + 6. Suppose -4*f - 20 = 0, -2*d = -2*f - 0 - 2. What is b(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18 and 637044?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 291\/97*10\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2909087 divided by 1.\nAnswer: -2909087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 3615719.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -4 - (-47 + 45)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23534409?\nAnswer: 3, 17, 569, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1314496789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of 5*w**2\/2 + 2*w + 4. Let c be p(8). Let t = 20 - 14. Calculate the highest common factor of c and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51025 + 51025 - 448*d**3.\nAnswer: -448*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14837 - -5837. Round q to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 155862521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 98965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -36b9 (base 14) in base 13?\nAnswer: -4483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 457 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -2b (base 12) to base 13\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**4 - p**4 + 3*p**4 + 10*p**4 + 2*p**3 - 2*p**3 + (p - 5*p + 5*p)*(-3 + 3 + 2*p**3).\nAnswer: 13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (60\/(-18))\/(140\/84)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 133*q - 41 = -2*t + 132*q, 4*t - 83 = -q. Let z = -24 + 97. Calculate the remainder when z is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 535624042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 835.2702l in millilitres?\nAnswer: 835270.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzx when three letters picked without replacement from xxzuxzxzxzzzzxxxxxxx?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**2 - 5*f**2 + 26*f**2. Let k(a) = 14*a**2. Determine k(b(c)).\nAnswer: 6776*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/673 or 0?\nAnswer: 1\/673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the third derivative of 0*c + 2\/15*c**5 + 0*c**4 - 1\/30*c**6 + 0 + 0*c**3 + 18*c**2. What is t in v(t) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 0.1416594  (b) 20  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1841 and 1315?\nAnswer: 9205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 542 = -0*w. Let v(o) = 7*o**2 + 84*o - 83. What is the remainder when w is divided by v(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 5, -1, -16525865, -3.\nAnswer: -16525865, -3, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 1 = 5. Suppose -5*w - 10 = -4*z, -2*z + 12 = 2*z - 4*w. Solve j - 31 = z*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**2 - m + 1. Let w(t) = 6 - t + t - 1444447*t**2 + t. Let j(q) = 4*a(q) - w(q). Let x be j(-3). Round x to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((-4*sqrt(700)*2)**2 + sqrt(700))*5.\nAnswer: 50*sqrt(7) + 223996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/18 - 7474\/(-444)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 9*j**3 + 2*j**2 - 1. Let g(q) = q**2 - 2*q + 3. Let b be g(2). Let f be (b\/(-9))\/(1\/3). Determine y(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the third derivative of -s**9\/60480 + s**7\/1680 + s**6\/240 - s**5\/15 + 5*s**2. Let o(g) be the third derivative of q(g). Is o(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 13, 26, 51, 94, 161, 258?\n\"Answer: l**3 + 6*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 40446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -6 + 8 + (-5 - -7) + 11\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(18\/((-12)\/(-2)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 743, 1447, 2613, 4241, 6331, 8883?\n\"Answer: 231*z**2 + 11*z + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes before 1:42 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 AM and 11:31 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1477086 divided by -26.\nAnswer: -56811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 2*j - 20. Let q be c(4). Let n be (q\/16)\/((-1)\/(1*8)). Find the common denominator of -3\/44 and n\/(-8)*2*(-84)\/(-66).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 55064 and 881024.\nAnswer: 881024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1220, 2404, 3546, 4646, 5704?\nAnswer: 6720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 AM and 3:14 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v**2 - 2*v - 5. Suppose 9 = -a + 19. Suppose a*g + 4 = 34. What is the least common multiple of n(g) and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oozzonzzz. What is prob of sequence ooz?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -35.2 + 35. Let j be (-2)\/(-1)*(-1)\/(-4). Which is the closest to 1\/2?  (a) -4  (b) u  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24480.933 months in centuries?\nAnswer: 20.4007775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a - 2. Let m be d(5). Let u(g) = g**3 + g**2 - 11*g + 4. Let j be u(3). Differentiate -7*r - m + j*r - 3*r**3 wrt r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 6 = 4. Factor 36 + 3*x**3 + 5*x**b + 1146*x - 1178*x - 2*x**3.\nAnswer: (x - 2)**2*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 964180094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 6. Solve -p*o - 2 = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.1 + 0.6. Let h be 1\/(-2)*(-3)\/(-6). Let k = 2 - 1. Which is the closest to k?  (a) -1\/12  (b) h  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 + 11*r + 31. Let a be l(-8). Suppose -9*z + a*z + 14 = 0. What is the smallest common multiple of 6 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48272340 is divided by 246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - t - 4 = x, x = -4*t - 4. Suppose 5*r + 16 = r + 3*g, -5*g + 15 = 5*r. List the prime factors of (1 - x)*(-1)\/r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*u + 2*u**4 - 3*u**2 + u - 8*u - u - 370 + 8*u in the form o*u**3 + h + r*u**2 + n*u**4 + a*u and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3207961 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1865 and 9698.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1625\/43 or 22?\nAnswer: 1625\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 4515450 divided by 15\nAnswer: 301030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of m**3\/6 - 38*m. Let k(c) = 45*c + 14. Let t(q) = 23*q + 6. Let n(s) = 6*k(s) - 14*t(s). What is n(d(p))?\nAnswer: -52*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5301 is divided by 1700?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**2. Let y be a(1). Let q be 0 + y*2 + 4. Let b(t) = -t**2 + 2*t - 2. Let j be b(q). Let x(o) = o**3 + 2*o**2 + 2. Give x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -36, -32, -28, -24?\n\"Answer: 4*r - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -133705 + 83431865\/624. Calculate the common denominator of l and 65\/12.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 7*r = 250. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 48\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 191288 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 111111 (base 3) to base 7\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2 + r + 2. Suppose 5*f + 11 = -0*n + n, n = -5*f - 9. Let j(o) = -o**2 - o - 1. Give n*i(h) + 3*j(h).\nAnswer: -2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -249*i - 1. Let o(r) = 34*r**2 - 242*r. What is t(o(q))?\nAnswer: -8466*q**2 + 60258*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -56 + 58 - 0\/(-2). What is the second derivative of 36*v**3 + b*v**2 - 74*v + 97*v + 196*v wrt v?\nAnswer: 216*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -99*i + 1173. Let c be m(0). What is the highest common divisor of c and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 + (6 - (18 + -15 + 7)) + 13?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 167948 and 681508?\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(-20))\/((-1)\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k = -6 - 4. Let w be (3*5\/(-15))\/(k\/36). Calculate the highest common factor of w and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -16*z + 320. What is p(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/1)\/3*2\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 18 = -12. Suppose d*i = i + 5*w - 10, 0 = 3*i - 5*w + 10. What are the prime factors of (1 + -2)*(i + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 2*g**3 - g**2 + g + 1. Suppose -4*w + 4*y = 24, 3*w + w - 2*y + 14 = 0. What is s(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 3 - 7. Solve -2*a - 30 = -4*b, 3*a + 5*b = -l*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122645146 to the power of 1\/4, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -4671056 divided by -1167764\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kukuk. Give prob of sequence ku.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13 and 2123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 15727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-37)\/(-10360)*35*2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 AM and 9:53 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the third derivative of k**5\/60 - 8*k**2 + 1. Let a(m) = -5*m**2 - 5. Let x(g) = -19*g**2 - 20. Let j(b) = -9*a(b) + 2*x(b). Determine j(t(v)).\nAnswer: 7*v**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 4*-0.36546\nAnswer: -1.46184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -3*z + 35, 0*r + 5 = 5*z - 4*r. Suppose 8545 = -z*b + 2840. Let m = b + 1992. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 57 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.37552867 and 3.\nAnswer: -1.12658601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 197508 and 3020.\nAnswer: 987540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2905935554 to the power of 1\/2, to the nearest integer?\nAnswer: 53907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 544 - 283 + 27*r - 290 wrt r?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9655, 9657, 9659, 9661, 9663, 9665?\nAnswer: 9667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.6347065ns in days?\nAnswer: 0.00000000000027354984375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 - -10. Suppose -30*c + 28 = -23*c. Solve -2*b = c*h + 8, 2*h - 4*b + i*b = -14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -326400 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 190075366 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 250*m + 1490. Let l(c) = 19*c + 114. Determine 3*g(i) - 40*l(i).\nAnswer: -10*i - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4*l + 105 = 0. Is 3 a factor of -2*l\/(-6) - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6047464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 517 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 28119460 and 501?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 2066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -30 + 29. Is ((-6)\/24)\/(u\/116) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6.2 - -6. Let h be ((-2)\/3)\/(14\/(-3)). Which is the second biggest value?  (a) -3\/8  (b) v  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2 - 6*l + 7. Suppose 5*v + w - 49 = 2*w, 2*v + 2*w = 10. What are the prime factors of d(v)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -1139658.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 280 and 12215?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001452 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -5 - (0 - (0 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 5*l = -29, -6*x - 2*l = -2*x + 14. Let j be -1*(-2 + x - -1). Find the second derivative of -3*n**4 + 3*n**4 - 3*n - j*n**5 wrt n.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -4*r + 4. Suppose -r*s + 20 = 2. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (316\/8)\/(-1) - (-2)\/(-4). Let x = m + 139. Let y(o) = 5*o - 1. Let j be y(2). Calculate the highest common factor of x and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 + 4*m**2 + 3*m. Let t be o(-2). Let g be (-6)\/(-4) - (-18199997)\/t. What is g rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62579?\nAnswer: 11, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*o + 2400 = -66*o - 99 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the third derivative of x**5\/30 - x**4\/24 - x**3\/3 + x**2. Suppose 6*z - 4*z = 8. Is d(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of -46*w**2 + 0 + 0*w + 0*w**4 + 3\/20*w**5 + 0*w**3. Let s(u) = 3*u**2. Calculate t(s(x)).\nAnswer: 81*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:36 AM and 1:11 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1928 a factor of 786624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30247*g = -25324*g + 127998 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from cixxcccxicxcic.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 302657, 302722, 302789, 302858, 302929, 303002, 303077?\n\"Answer: q**2 + 62*q + 302594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 719 - 1979 = -49*w + 13*w for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1\/106 - 22\/477. Suppose -v + 5 = -3*y, -4*v + 1 = -5*y - 5. Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1189.186 and -0.5.\nAnswer: 594.593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as -3\/289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -22304110.\nAnswer: 1\/22304110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 194607054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from slxseeqehssssesxsqsh.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7670 and 28028?\nAnswer: 8268260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -32*c**2*j**3 - 2*c**2*j**2 - 151*c**2 - c*j - j**3 wrt j?\nAnswer: -192*c**2*j - 4*c**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1815 (base 11) to base 5\nAnswer: -33230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 2*d - 6*d + 10, -5*v = 5*d. Find the common denominator of (-2)\/v + (-726)\/(-210) and 25\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52806.\nAnswer: 2, 3, 13, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15 - -17) + (-3 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 586 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 166*u + 7. Suppose 0 = 3*a + 20 - 53. List the prime factors of k(a).\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -1 - 6*c**3 + c**3 + 2*c**3 + 2*c**3. Let j(x) = -x**3 - 2. Let t(m) = -2*j(m) + 3*p(m). What is the derivative of t(o) wrt o?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14\/7 - (34758\/(-4))\/(36\/96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 572 in 2, 3, -337?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 2, -5, 8, 0.\nAnswer: -7, -5, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -379, -375, -369, -361?\n\"Answer: b**2 + b - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -810 = -y - 5*b, -y + 780 = -4*b + 3*b. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87 is divided by -8 + (-6)\/12*-124.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 322 a factor of 430562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y**4 + 45*y**3 + 115*y**2 + 75*y = 0 for y.\nAnswer: -5, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/636 and 655\/262 + 0 + 111\/(-216).\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*n + 2*n - 39 + 129 - 46 - 38 in the form w + m*n and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1256)\/14 + (-12)\/42. Let q be (-1 + s)*240\/(-140). Let g = 218 + q. What is the greatest common factor of 34 and g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.16 and -20.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r - 68 - 130. Let u = 154 + r. Suppose -8*a + u = -72. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -5  (b) -0.0179  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 666414 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + 23 + -31 - (-2 - 49).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-12))\/(-3*(-8)\/96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 98528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1005 plus -0.06?\nAnswer: 0.0405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + -6*(sqrt(448) - (sqrt(448) + sqrt(448) + sqrt(448) + 1 + sqrt(448) + -3)) + 1*(-1*(1 + sqrt(448)) + 3))*-5)**2.\nAnswer: -95200*sqrt(7) + 3241700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104*d - 235*d = -96*d - 48580. Is d a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 256901?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -0.1, 2\/63, 1\/2, -51\/8, -0.5, 3?\nAnswer: -51\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 6998492247 and -49.097?\nAnswer: 6998492296.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -4*d + 86, -2*o + 3*d + 61 = 2*d. Suppose 0 = r - 4*r + 30. What is the highest common factor of r and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 609046960 >= 609046960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 75 = 2*c, -s = -4 + 3. Let m = -36 - c. Let v(r) = r + 3. Calculate the least common multiple of v(6) and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -51.5 and -0.4?\nAnswer: 20.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 3*f**2 - 144*f + 36. Is s(-22) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -146, -211, -276, -341?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 78 and 858?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 145330 is divided by 18166.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -527000 to the nearest 10000.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 428, -0.1, -0.4, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13 - 5. Let m = k + -14. Let h = m - -12. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 718672 and 3413692?\nAnswer: 13654768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = c - 2952 - 2558, -3*h = 4*c - 22047. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 - 106. Let z = b - -102. What is the greatest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13*5 - (-12 + 11)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10522, 42098, 94726, 168406, 263138, 378922?\nAnswer: 515758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 118, 237, 356, 475, 594, 713?\n\"Answer: 119*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/10, -0.4, 0.6, 1\/4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 192 = 60. Let g be -2 - 4\/((-12)\/69). Calculate the highest common divisor of j and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 285807 times 0.07?\nAnswer: 20006.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -32308 + 33386. What is the lowest common multiple of l and 847?\nAnswer: 11858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2806.8 - -2243. Round k to the nearest ten.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 202 + -190. What is the highest common factor of 150 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*y - 3*d, -4*y = -4*d + 2*d. Suppose -408 + 538 = -y*q. Does -64 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1547138604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(((-41)\/(-2))\/(-41))*(-7)\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*l - 14 = 526. Suppose 150*b**3 - 98*b**5 - l*b**2 - 18*b**4 - 22*b**4 - 55*b**4 - 17*b**4 = 0. What is b?\nAnswer: -2, 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 214, 217, 220, 223?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 1 + 13 = -2*q, -3*u + q = -8. Let n(i) = i - 1 - 5*i + 3*i. Let m be n(-3). Solve m*g + 2*o = u*g + 2, 3 = -3*g - 3*o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 200539\nAnswer: 1\/200539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 5*y**5\/4 - 22*y**4 + 91*y**3 + 125*y**2\/2 - 369*y\/4 - 81\/2 = 0.\nAnswer: -1, -2\/5, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11121303 - 2?\nAnswer: -11121311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.07, -3, -0.03, 5.\nAnswer: -3, -0.07, -0.03, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 - 62*s**2 - 1053*s + 12217. Determine o(74).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 287000 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6249 - (3\/3 + -8 + 4). Suppose 7*x = -5*x + t. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10a (base 14) in base 15?\nAnswer: db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 4 = 4*g - 6, -1 = g. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 30*q - 464. Give r(14).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**5\/12 + 7*c**4\/12 - 11*c**3\/12 + 5*c**2\/12.\nAnswer: -c**2*(c - 5)*(c - 1)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - -9. Calculate the smallest common multiple of 468\/26 + (1 - 12) and i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.04681 - 0.0470189. What is g rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -9559 + 183?\nAnswer: -9386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24542.\nAnswer: 2, 7, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 561641268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -96, -138, -160, -162?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 - 2*u**2. Let v(y) = -5*y**3 + 15*y**2. Determine 15*n(l) + 2*v(l).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -1*(sqrt(72)*1)\/(sqrt(72)\/(-1*sqrt(12))).\nAnswer: 1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2076536699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p + 1 - 1)*(3 - 3 + 2) + 516*p + 425*p + 1137*p.\nAnswer: 2080*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 996 + 5457713.991.\nAnswer: 5458709.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 d when three letters picked without replacement from {w: 1, d: 12}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l**(-2))\/((l*l\/((l\/l**(-3))\/l))\/l*l))\/(l**(-2\/9)*l*l**0))\/((l**(2\/7)\/l)**47*(l\/l**0)**(-1\/61)) assuming l is positive.\nAnswer: l**(126089\/3843)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -13151*p - 20. Let z(r) = r. Calculate z(k(c)).\nAnswer: -13151*c - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 259106 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 49 - 27*u + 45 - 69*u - 94 to the form v*u + g and give v.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 0*b + 14\/11*b**3 - 10\/11*b**4 + 0 + 2\/11*b**5 - 6\/11*b**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 296 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * 41.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2107781, 4215562, 6323329, 8431076, 10538797, 12646486, 14754137, 16861744?\n\"Answer: -w**3 - w**2 + 2107791*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 PM and 6:37 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34782?\nAnswer: 2, 3, 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 AM and 10:46 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 21 + 53 = 5*p, -58 = -3*p + 5*s. Calculate the lowest common multiple of 24 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1635.4796 minus -54?\nAnswer: -1581.4796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7651 + -7795. Which is smaller: -123 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -7340, 177 in increasing order.\nAnswer: -7340, 3, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.57968 millilitres in litres?\nAnswer: 0.00857968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 3 = -2*k + 4, 4*k + 2*i = 10. Suppose -4*u + 86 = -3*d, -31 = 4*u + 3*d - 129. Let h = u - -2. Solve -4*y - 10 = k*r, -5*r - h = 3*y + 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61 is divided by 117\/4 + (-10)\/40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -151119.\nAnswer: 4\/151119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -95460*m**3 - m + 95462*m**3 + 509 + 6477 + 2757 to the form u*m**3 + h*m**2 + w + t*m and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 4631*j + 97060. What is l(-21)?\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5434 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**2 + b + 3. Suppose -5*c + 26 = 4*u, -5*u + 2*c + 30 = 14. Let k be 4 + (5 - (16 - u)). Calculate y(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.025 and -110043.\nAnswer: -110042.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(891) + -3 - sqrt(891) - sqrt(891))**2 + sqrt(88)\/sqrt(512).\nAnswer: 433*sqrt(11)\/8 + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = -4*b + 28. Suppose -5*s + 5*z = 40, -23 = 5*s - z - 3. Let o(k) = k + 5. Let d be o(s). Solve -1 - b = d*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*o**2 - o**3 + 2*o + 67 - 67 - 2*o**4 + (2*o - 3*o + 3*o)*(-3*o**3 + o**3 + 0*o**3) in the form w*o**4 + l*o + d*o**3 + u + g*o**2 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 6*z - 2*z + 121 = 0, z = -2*v - 242. Let f = 109 + v. Let d be 9\/f + (-210)\/(-216). What is the closest to 0.2 in 1\/17, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 22*m + 146 = 54. Which is the second smallest value?  (a) 0.2  (b) -12\/289  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 28*a + 106. Let g(f) = -90*f - 320. Determine 5*g(c) + 16*t(c).\nAnswer: -2*c + 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/6560 and -29\/181712.\nAnswer: 1817120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, -22, -17, -11, 2.\nAnswer: -22, -17, -11, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 4 + 2. Suppose m = 4*h, -m - h - 7 = -c*m. Put 0, -2, m in increasing order.\nAnswer: -2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3 - 25587*c**2 + 163635255*c + 491136075.\nAnswer: (c - 12795)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18508 and 136262?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y**2\/4 - 363543*y\/2 - 2181267\/4 = 0. Calculate y.\nAnswer: -3, 727089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 plus -0.2264?\nAnswer: -0.7264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 4*s - 834, 688 = -f + s + 267. List the prime factors of (3070\/(-4))\/((f\/34)\/25).\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -2*t**3\/13 + 16*t**2\/13 + 168*t\/13 = 0.\nAnswer: -6, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*o - 8*o + 216. Let b(r) = -r**2 + 5*r + 41. Let y be b(o). Solve y*f = -2*w - 31, -2 = 4*w - 3*f - 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 3) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -812*l - 246*l + 1030*l.\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85 = -4*t + 5*m, 13*m - 122 = -5*t + 17*m. Calculate the least common multiple of 5139 and t.\nAnswer: 51390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/(-3)*(-5 - -3). Let p(z) = z**2 - z. What is the remainder when p(b) is divided by (-6)\/(-10) - (-312)\/30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, y: 2, a: 6, f: 2}. Give prob of picking 2 f, 1 e, and 1 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 141232652 divided by 6419666.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 16332907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*u**3 - 118539*u**2 + 118539*u**2.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**2 - 10*d - 280. Give i(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2\/71 - -217\/142. Which is smaller: d or 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -171188*u**3 + 188268*u.\nAnswer: -1027128*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 9:24 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 213539.\nAnswer: 213539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 4*f - 759 = -3*v, -1260 = -5*v - 5*f. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -387, -378, -369, -360, -351?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 103007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 209\/66 + 6\/(-4). Which is the second smallest value?  (a) 0.5  (b) -3  (c) 5  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 620 - 428. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 10*i + 107. Let u be a(-12). Let z = u - -84. What is the remainder when z is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13380 divided by 5.\nAnswer: 2676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145*o = 148*o - 840. Calculate the remainder when o is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 161*f - 166*f = -4*z + 41726, -5*f = 4*z - 41746. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -3*u + 26. Let p(i) = -3*i + 27. What is 5*g(c) - 4*p(c)?\nAnswer: -3*c + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**2 + 7*t + 5. Let q be (-3)\/(-3)*(-3 - -2). Let i be (8\/q)\/(-1) + -2. What are the prime factors of k(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/i**(-6\/7)*i\/(i*i**23*i*i)*i)\/((i\/(i**(-6)*i))\/((i\/(i*(i**(9\/8)*i)\/i*i))\/i)) assuming i is positive.\nAnswer: i**(-1695\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5\/2  (b) 7  (c) 13128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**2 - x + 8. What is the units digit of v(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 482742786 a multiple of 504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 863819 and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - 5*x - 687. Let o = 781 + x. Is o\/10 + 1\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 3:04 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*k - 4*q = 79*k + 14, 1 = 2*k + q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - (-1)\/(-2))\/((-2)\/4). Put 5, 15\/13, z in descending order.\nAnswer: 5, 15\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 89 + -1a826?\nAnswer: -1a76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(50\/(-5)))\/(136\/(-85))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 103 + -2 - (9 + -10 + 15 + 6 - 12)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2, 3, -0.1, 32, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(700) + -1 + 3)**2 + 2 + -2 + 1.\nAnswer: 40*sqrt(7) + 706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0  (b) 6  (c) -6  (d) 0.3  (e) 120  (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and -186733385?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4 + 3 + (-2)\/2. Is 3\/r + (-835)\/(-10) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -43\/2, -66 in increasing order.\nAnswer: -66, -43\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - ((1 + -6 - 1) + (-238 - -270)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of -q**4\/8 + q**3\/6 - q**2. Give w(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - p - 3. Let q = 25 - p. Let f(j) = 6*j + 12. Let h be f(2). What is the highest common divisor of h and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 + -1 + 0 + -11. Let g(w) = -7*w + 8. Let s be g(-2). Suppose 18 = -4*l - s. Is l smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 2*g**3 - 16 + 123*g + 18*g**2 - 19 - g**3 - 111*g. Calculate the smallest common multiple of o(-17) and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 331330202 - 0?\nAnswer: 331330202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2715*p*z**2 - 16*p*z + p - 13*z**2 + 4*z - 3547 wrt p.\nAnswer: 2715*z**2 - 16*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + 5. Let l = 10 - z. Suppose 2*a + l = 24. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -2, 5 in ascending order.\nAnswer: -2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1012115 (base 6) in base 5?\nAnswer: -3022211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in -1.1, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 468*z - 65 + 126 - 57.\nAnswer: 468*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes before 11:53 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4a (base 11) to base 2\nAnswer: -110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 + 4*k**2 - 2*k + 4. Suppose -o - 3*i = 15, 3*i + 0 + 3 = 0. Let f be 0 - 1 - 48\/o. Calculate the smallest common multiple of 18 and b(f).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 196, 767, 1718, 3049, 4760, 6851, 9322?\nAnswer: 12173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1846315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes before 7:07 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-4*sqrt(85)\/sqrt(5) + sqrt(51)\/(sqrt(15)\/sqrt(5))).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 2829645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8552401349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1154545, 1154535, 1154503, 1154437, 1154325, 1154155, 1153915, 1153593?\nAnswer: 1153177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -33*g*i**3 - 2*g*i**2 - 30*g*i + 607*g - 356*i**3 wrt i?\nAnswer: -198*g*i - 4*g - 2136*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b - 4*b = 42. Let l = b - 3. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/216 and 97\/816.\nAnswer: 7344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2  (b) -7\/281  (c) 4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppop when four letters picked without replacement from popppppp?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p\/(p**(-12)\/p))\/p)\/p**13)**39*(p**(-1\/11)\/(p\/(p*p*p**(-11)*p)))**(-1\/4) assuming p is positive.\nAnswer: p**(454\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -5*c**3 + 28*c**2 - 5*c + 11. Let m(n) = n**3 + 3*n**2 - n - 1. Let h(p) = 5*m(p) - y(p). Let j(g) = 3*g**3 - 4*g**2 - 5. What is 2*h(r) - 7*j(r)?\nAnswer: -r**3 + 2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -69 - -61. Let j be ((-249)\/(-9))\/(3\/(-9)). Let a = c - j. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3665323 (base 8) to base 3.\nAnswer: 1220022222202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((2 + -1 + -1 + sqrt(450))*2*5 + -5 + 1)**2.\nAnswer: -3600*sqrt(2) + 135048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-27)\/((-2268)\/48) - 133752\/(-7) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wmm when three letters picked without replacement from fmffwjm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*n = 12*n + 9*n + 836 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4 and -0.396715.\nAnswer: -4.396715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -9. Find the second derivative of 14*d**5 - u*d**5 + 15*d**5 + 5*d**5 + 28*d wrt d.\nAnswer: 560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -36127, -36118, -36109, -36100?\n\"Answer: 9*z - 36136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -65 - -286. Let y be (z\/221)\/(2\/(-6)*-1). Factor -2\/3*o**2 + 2\/3*o**y - 4\/3*o + 0.\nAnswer: 2*o*(o - 2)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*y + 6*y + 5*y as b*y + l and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/g**(1\/17))\/g)\/(g**13\/g)*g\/g**(-2)*g**(3\/11) assuming g is positive.\nAnswer: g**(-1456\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3472*a**3 - 699*a + 34 + 1858*a**3 - 20 - 2236*a**3 - 16 wrt a.\nAnswer: -23100*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 93205132?\nAnswer: 1\/23301283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (30\/(-25))\/(4\/(-50)). Suppose 0 = -3*h + a + 5, -a + 4*a = -3*h - j. Put h, 3, -2 in descending order.\nAnswer: 3, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 532, -10615, -5 in increasing order.\nAnswer: -10615, -5, 532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-2 + -2 + -4 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 436 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 24, 44, 88, 168, 296, 484?\n\"Answer: 2*k**3 + 6*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*w - 5*g + 1161 - 1071, 0 = 2*w - 5*g + 60 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -67, -140, -215, -292?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 933459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 2*i**3 + 39*i**2 + 18*i - 19. Let z be x(-19). Solve u + u - 8 = z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 10 = -2. Suppose -3*k + 4500000 = -d*k. Round k to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6*(5 + 68\/(-12)). Let h(l) = -2*l**3 - 9*l**2 - 3*l + 2. Let k be h(f). Which is the second smallest value?  (a) -1  (b) k  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 535 divide 751409503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1084999*a - 932729 wrt a?\nAnswer: 1084999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 31302817 a multiple of 779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -64666 + 98841. What are the prime factors of f?\nAnswer: 5, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((-2 + 3)*(-2)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/130 and -49\/102.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 8:54 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 560873759 to the nearest integer?\nAnswer: 23683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1879*v**4 + 98874*v - 98874*v + (0*v**3 + 0*v**3 - 2*v**3)*(-2*v + v - 3*v).\nAnswer: 1887*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 12:48 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-9)*d\/(d\/d**(-1))*d*(d*d**(-12))\/d*d\/(d\/d**35)*d assuming d is positive.\nAnswer: d**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in 0.4, 3, -1\/3, 44\/59, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence znh when three letters picked without replacement from {e: 3, s: 3, n: 2, b: 1, h: 2, z: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/2686482 and 82\/351.\nAnswer: 104772798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/15)\/x)**(-12)\/(x*x\/(x**(-1\/5)\/x)*x\/x**(-3\/14)*x) assuming x is positive.\nAnswer: x**(517\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**3 - 3*c**3 + 3*c**3)*(1 + 2 - 2) - 3*c**3 - 1 + 3 + 6*c**3.\nAnswer: 2*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -5*z. Let v(k) be the second derivative of -3*k**3\/2 + 5*k. Give -11*j(f) + 6*v(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 3*u - 2. Let c(v) = -22*v + 54. Calculate 2*c(t) + 14*i(t).\nAnswer: -2*t + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20363.\nAnswer: 7, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2345*l*p**3 - l*p**2 - 99358900*l*p + l + 3*p**3 - 310*p**2 wrt p?\nAnswer: -14070*l*p - 2*l + 18*p - 620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 33743 - 1518358\/45. Find the common denominator of 80\/924 + (-4)\/7 and b.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 divided by 37767?\nAnswer: 13\/37767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/135394560 and -94\/315?\nAnswer: 135394560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 - 11*g**2 + 12*g + 7. Let f be y(-12). Let z(s) = s - 4. Let j be z(6). Let c = 1 + j. Solve -3*a + f = -c*h + 2*h, -2*h - a = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 6 = -6*b + 7*b, 0 = 5*b + 4*s + 12. Let y(f) = -6*f - 3 - 4 - f**2 + 1. Calculate y(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven eighths of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 200 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 369137215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 23054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*c**3 - 234433*c - 5042451 wrt c?\nAnswer: 9*c**2 - 234433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/4*(-20)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*j - 55 + 13. Suppose 0 = 54*w - 60*w - j. Let l(u) = u + 2. Calculate l(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 - 3*m**2 + 4*m - 10. Let f(u) = u**3 - 3*u**2 + 5*u - 13. Let k(l) = -4*f(l) + 5*t(l). Determine k(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6063*a*l**6 + 3*a*l**4 + 337*a*l**2 + 240*a wrt l?\nAnswer: -727560*a*l**3 + 72*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 2824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -16.73, 4\/3, 0.4, 2\/157.\nAnswer: -16.73, 2\/157, 0.4, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 - 34*x**2 + 5*x - 45. List the prime factors of n(34).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(-5) + (-1)\/(-1). Suppose 7*b + 10*b + 26*b = -215. What is the closest to s in b, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/64 and -157\/264?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of 8*n**4 + 1\/2*n**2 + 0*n**3 + 20*n + 24. Find the second derivative of w(s) wrt s.\nAnswer: 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y - 3*i - 834, -17*y + 1117 = -13*y + i. What is the remainder when y is divided by 60?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.2  (b) -3\/10  (c) 0.3  (d) 0.01  (e) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 9:50 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0.4, 64 in decreasing order.\nAnswer: 64, 4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 19869199 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -115533 - -3?\nAnswer: -115530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, q: 9, s: 4}. Give prob of picking 1 q and 1 d.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from efwfffffwlffl.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 + 5*i - 2. Let r be g(4). Suppose -b + 93 = 4*c + 14, 0 = -b + r*c + 49. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3\/4 + 32543*v**2\/4 - 66186360*v - 66194496.\nAnswer: -(v - 16272)**2*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 288.9999871 - 289. What is o rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 12\/25 of a millennium?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -481*o**5 - 3*o**4 - 15763*o**3 + 48936318*o**2.\nAnswer: -28860*o**2 - 72*o - 94578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -10  (b) -33388  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13.985 + -14. Let z = -8.085 + j. What is z rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -717, -1441, -2171, -2907, -3649?\nAnswer: -4397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**3 - 14*u**2 + u + 10. Let g be 12 + 6\/((-3)\/(-1)). What are the prime factors of v(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from biblvxclxvvv.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 356 divide 46837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 + 24 + 14 - 3 + 13*l to i*l + r and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {i: 2, z: 1, e: 1, p: 1, u: 1, c: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -540269, -539859, -539449, -539039, -538629?\n\"Answer: 410*g - 540679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/21*(-10)\/((-30)\/3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -32, -61, -88, -113, -136?\n\"Answer: a**2 - 32*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -639*v**2 + 318*v**2 + 322*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 18 (base 9) to base 2\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 3:49 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2 - 47916919*j.\nAnswer: -j*(j + 47916919)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of t**3 - 2*t**2 - 2*t - 1. Suppose -5*g + 25 = a, 2*g = 3*a + 34 - 7. Is q(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -301*y + 299*y = s - 4, -s - 8 = y - 3*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from qqqxqxqqxxqqxxqqqq?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6517849002?\nAnswer: 2, 3, 7, 5171, 30011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - -384?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, -5, -10 in decreasing order.\nAnswer: 1, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 + 3*s + 1. Let x(o) be the first derivative of o**3\/3 + o**2 + 2*o - 51. Calculate 2*t(h) - 3*x(h).\nAnswer: -h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4233*r**3 + 934*r**2 wrt r.\nAnswer: -25398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -2\/3, 4, -2 in decreasing order.\nAnswer: 9, 4, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 53524087 to the power of 1\/2, to the nearest integer?\nAnswer: 7316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -3*s + 2, -2*s + 0 = 3*t - 6. Let o = 24 - 57. Let q be (-121)\/o - (-6)\/(-9). Solve s = -4*z - 2*c + q*c + 1, 3*c = 5*z - 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + -1 + -3 - sqrt(33)\/(sqrt(6)\/sqrt(2))) + (sqrt(66)*1)\/sqrt(6) + 1.\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*a - 8*a - 8*a)*(2*a**3 - a**3 - 3*a**3).\nAnswer: 22*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.2685*-13\nAnswer: -3.4905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7759, 7720, 7655, 7564, 7447, 7304, 7135?\nAnswer: 6940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26776328329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 31023 and 6511?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5*1 - (-5)\/(-5). Let z be (((-36)\/20)\/3)\/((-6)\/390). Suppose -z*c + 25*c = 0. Solve -20 = -s*r - c*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -6909, 1 in increasing order.\nAnswer: -6909, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -971 by 7080.\nAnswer: -971\/7080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddddodhehddedddz.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1ccb724 (base 14) to base 2\nAnswer: 110111001110001011100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 41516859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28\/3*l**2 - 32\/3*l**3 + 0*l - 4\/3*l**4 + 0 = 0 for l.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m**4\/4 + 89*m**3\/4 + 969*m**2\/4 + 3515*m\/4 + 1925\/2 = 0. What is m?\nAnswer: -77, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 109607 or 109606?\nAnswer: 109606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 388*s**3 - 82292*s**2 + 41132*s**2 + 41160*s**2.\nAnswer: 388*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*h = -23*h. Suppose 5*t - 391 - 84 = h. Suppose 0 = -5*l + t - 25. Calculate the least common multiple of l and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u**2\/3 - 570*u = 0. What is u?\nAnswer: 0, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.5713059 centimeters?\nAnswer: 5.713059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(3645))\/sqrt(9))**2 - (sqrt(40) + 1*sqrt(5760) + sqrt(5760) + sqrt(40))\/sqrt(8).\nAnswer: -26*sqrt(5) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 2*q**2 - 2*q - 1. Let z be t(-1). Find the second derivative of 12*i**2 - z*i + 6*i**2 - 8*i**2 + 3*i**2 wrt i.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -65*u - 4949 + 4949 as k*u + v and give k.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/(-15))\/((-2)\/(-10)). Let s(w) = -8*w - 10. Let p be (-4)\/(-7) - (-270)\/42. Let n(z) = 15 - z - p - 9 + 0. What is v*s(o) + 18*n(o)?\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 - -43471\nAnswer: 43471.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 5*g**3 + g**2 - 2*g - 2. Let y(v) = -25*v**3 - 5*v**2 + 11*v + 11. Let n = 648 + -670. Determine n*q(i) - 4*y(i).\nAnswer: -10*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 1208 = -5*u, u = -4*c - 74 + 330. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-92)\/(-92)*1\/8\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11941628?\nAnswer: 2, 107, 27901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2187 and 989016.\nAnswer: 720992664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1037 = 8*r + 1117 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (7 + (-1 - 17))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 397 + -228. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 826387284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 392737 is divided by 1785?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2700) + (sqrt(2700) - (sqrt(2700) + 1)))**2.\nAnswer: -60*sqrt(3) + 2701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 62, 5, 7.9 in increasing order.\nAnswer: 5, 7.9, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 369 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -8017.692 rounded to the nearest ten?\nAnswer: -8020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 5*g + 3. Let l be o(5). Suppose -5*j + 0*j + 15 = 0, 4*k - 2*j = 894. Let z = k + -155. What is the greatest common factor of z and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((-3*sqrt(1539)*3 - sqrt(1539)) + (sqrt(1539) - (-3 + sqrt(1539))*2)))**2.\nAnswer: -4752*sqrt(19) + 745020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2 - 14 - 5*t - 10 + 0 wrt t.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5065830 divided by 230265?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1210, 2398, 3586, 4774, 5962, 7150?\n\"Answer: 1188*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 e when three letters picked without replacement from {u: 1, p: 2, e: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m**4 + 218*m**3 - 1260*m**2 + 2488*m - 1648 = 0.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 93 - 91. Which is the third smallest value?  (a) h  (b) -3\/2  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 6:34 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -249*l**2 - 254*l**2 - 255*l**2 + 1011*l**2 - 251*l**2. Let r(h) = 3*h**2 + 1393. Determine k(r(z)).\nAnswer: 18*z**4 + 16716*z**2 + 3880898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -233, -2598, -7089, -13706, -22449, -33318, -46313?\n\"Answer: -1063*g**2 + 824*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 93 - (1\/(-2) + 6\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25 + 28 + 16 - 5*a**3 - 69.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5)\/((-15)\/6)*1. Suppose a = -g*n - 37, n - 5*a + 2 = -0. Let i = 21 + n. Solve -6 = i*l + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92 - 4*k - 21 - 22 + 135.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.16500027 - 0.165. Round n to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -43.2 + 17.1. Let k = 6025 - 6032.3. Let j = b + k. What is j rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/10062 and -37\/1806.\nAnswer: 70434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6621 is divided by 812.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6\/17, 1\/7, 1.14, 10, 1, -1 in ascending order.\nAnswer: -1, 1\/7, 6\/17, 1, 1.14, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/48*7*(-38)\/(-133)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*c**2*g*p**2 - 15*c**2*p**4 + 3*c*p**2 + 8*g*p**3 + 2*g*p**2 - 15*g*p - 2*g - p**4 wrt p.\nAnswer: -360*c**2*p + 48*g - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of c**3\/3 - 3*c**2\/2 + 2*c - 40. Let t be w(2). Suppose -5*i + 16*i - 539 = t. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (-55)\/165*18\/2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*d - 14. Let s = -11 + 21. Let j = s - d. Solve -j*f + 4*n - 4 = 25, -4*f = -3*n + 23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p**10*p)\/p)\/(p\/(p\/(p\/p**(-2))*p)))\/(p**(-2\/3)*p)**(-15))**(3\/4) assuming p is positive.\nAnswer: p**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/10 - 56\/10. Let s = m - -3. Let o = s + 16. Calculate the highest common factor of 143 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*q + 11 = -106. Suppose 0 = -q*r + 4*r. Solve -5*n = 2*l + 29 - 9, r = 2*l - 5*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9848?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1382*u**2 - 32*u**3 + 1382*u**2.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = b + 21, -3*h + 8 = -0*h + 4*b. Let f = -177 + 178. Calculate the highest common divisor of h and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 2*g**3 - 3456280*g**2 - 34563022*g + 38019300 = 0.\nAnswer: -11, 1, 1728150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -44*o**3 + 7*o**2 - 2*o. What is the units digit of x(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11.94 + -0.06. Let g = 10.9 + z. Round g to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t and 1 a when four letters picked without replacement from {t: 14, a: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 440 and 758615.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 9 + 11. Let t be (j\/(-10))\/(10\/100). Let o(r) = r**3 + 4*r**2 + r + 7. Let d be o(t). Solve -5*q - 3 = d*l, -3*q = -5*l - 4 - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 70 + -56. What is the derivative of -139*r**4 - r + 112*r**4 + r - j wrt r?\nAnswer: -108*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vyzh when four letters picked without replacement from yyziihinizzyzyv?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 32986290 - -355.3274\nAnswer: 32986645.3274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(85)*6)\/(2*sqrt(5)*1))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 4, -4, 3, -2 in decreasing order.\nAnswer: 4, 3, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 291686684 to the nearest integer?\nAnswer: 17079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 156 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 1720001*y - 5. Let f be g(5). What is f rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes before 2:05 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 6, 5*d - 4 = 3*d - 2*z. Suppose 0 = -5*u - p + 264, d*p + 204 = 4*u - p. Does 26 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1)\/s*s**3*s*s\/(s\/s**(-2\/15))*s*s**(1\/2))**(1\/4) assuming s is positive.\nAnswer: s**(101\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -338.\nAnswer: -3\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -3*r**2 - 4*r + 2. Determine z(4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/6*(-6)\/4. Let g(i) = -2*i + 1. Calculate the remainder when 18 is divided by g(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -4*h**2 + 15*h + 23. Let p(f) = 2*f**2 - 7*f - 12. Let v(g) = 7*p(g) + 3*q(g). Is v(-6) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of j**3\/30 + 3*j**2\/20 - 2*j\/5 - 6. Factor l(t).\nAnswer: (t - 1)*(t + 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes before 8:51 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.114 - 0.476. Let k = -0.5900132 - b. Round k to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**2 + 11*f - 2. Give z(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5 and 1745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 2339 = -4*f + 2271, 7*f - 2*b = -28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*n + 81*n**4 - 78*n**4 + 2*n**3 - n**3 - 1 to t*n**3 + f*n**2 + g*n + z*n**4 + c and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 43993549 to the power of 1\/3, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does -94 = -18326\/195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*-2)*3)\/(sqrt(256)*-2).\nAnswer: -9*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaaaaaaaa. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 - 11*b**2 + 12*b - 11. Let l be p(11). Calculate the greatest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 1  (b) -6  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {s: 4, m: 4, h: 2, n: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-8)\/(-12))\/((-6)\/(-27)). Suppose 0 = -2*q - 7 + d. Let t = -1 + 1.1. Which is the nearest to -2?  (a) t  (b) -2\/19  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1132 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2016 = -626*q + 698*q for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -38*k - 3. Let s(d) = 1. Let m(j) = n(j) - 3*s(j). Let y be m(3). What is the hundreds digit of (-1*10\/8)\/(1\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 5) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102*h - 346464 = 30*h. What are the prime factors of h?\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*(n\/n**(-1))\/n*n*n**(-1\/6))**(-1\/4) assuming n is positive.\nAnswer: n**(-17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 7:05 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the third derivative of -o**7\/840 - o**6\/180 + o**5\/30 - 7*o**4\/24 - o**3\/6 - 6*o**2. Let h(v) be the first derivative of k(v). Does 6 divide h(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from gwgwmgwwwwg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89 = -2*i + 3*b, -8*i + 9*i + 4*i - 7*b - 206 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 5*n - 7*n + 15, 0 = 3*n - 2*g - 70. Solve 2*m + 4*j - 8 = 0, -m + 3 = -5*j + n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - -1. Let v be (k\/6)\/((-6)\/9). Let c = -6 + 9. Sort c, v, -2\/5.\nAnswer: v, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r + r**2 - 3*r + 0*r**2 + r**2 - 2*r**2 + (r + 0 + 0)*(-2*r + r - 2*r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-135 - (4 - 1))*1. Let z = -78 - r. Let f = z - 56. Let n(x) = -x**2 + 4*x + 1. What is n(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w - w - 7 + 9)*(-2 + 0 + 0) - 4*w - 3 + 3.\nAnswer: 2*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1ff76c (base 16) to base 13.\nAnswer: -584726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 26304, -83, 1, 0, -5, -2 in descending order.\nAnswer: 26304, 1, 0, -2, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuud. Give prob of picking 2 u and 1 d.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 19152 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 126617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**3 - 4*n**2 - 4*n - 1. Let o be j(-3). Suppose o*t = 6*t. Which is the second biggest value?  (a) -1\/6  (b) -2  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o - 1. Let i(b) = -6*b + 13. Let h(x) = -3*x + 6. Let m(k) = -5*h(k) + 2*i(k). Calculate -2*m(t) + 7*u(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -25931*i**3 + 26878*i**2 wrt i?\nAnswer: -155586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 + -2 + 0 + 5. Let j = c + 3. Suppose o + 4 = -z, -z - j*z - 25 = 0. What is the closest to o in -1\/8, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 101*m + 6874 - 14550 for m.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 + 4*z**2 - 2*z - 6. Let m be u(-4). Let f(c) = 0 + 0 + 8*c**m + c**3 - 4 - c. Suppose 42 = -5*l - x, 50 = -5*l + 2*x - 7*x. Calculate f(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 - -10. Let v(h) = 5*h + 13. Let p be ((-3)\/(-2))\/((-35)\/(-70)). Let w(k) = -9*k - 25. Let z(d) = p*w(d) + 5*v(d). Give z(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/12*1820\/(-65).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of 407*u**4\/4 - 6155*u**3\/3 + 1274. Find the third derivative of g(y) wrt y.\nAnswer: 2442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*c**3 - 52 + 52.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**3 - 24*u**2 - 2*u + 113. List the prime factors of l(-25).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5058, 5061, 5064, 5067, 5070, 5073?\n\"Answer: 3*q + 5055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 556*i - 946*i = 780 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from gwqgggwqqqqwggwwgg?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132)\/(sqrt(12) + 1*sqrt(12) + sqrt(12)) + sqrt(11))*3 - (-1 + (sqrt(891) + 3*sqrt(891) + sqrt(891) - sqrt(11)))**2)*-5 + 0.\nAnswer: -460*sqrt(11) + 106485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 32861.66 millilitres?\nAnswer: 32.86166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6208*z**3 + 6026 wrt z?\nAnswer: -18624*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + -2. Let j = 15072.9 - 15073. Let y be 26\/(-143) + (-32)\/(-55). Which is the closest to j?  (a) m  (b) y  (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/5 in 124, 1\/4, 4\/3, -5, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 7. Let g = -3 - -5. Solve 0*u + g*u = -y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 619445, 619394, 619309, 619190?\n\"Answer: -17*w**2 + 619462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 3*b = -54, -p - 5*b = 16753 - 16775 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -124*h**2 + 60*h**2 + 61*h**2 + 0*h + 0*h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -118, -216, -324, -448, -594?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 12:07 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 + (5450\/750 - 46)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 252 and 58150932.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -2*f + 4. Let o be q(-6). Suppose 3*a - 44 = o. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14512*a**3 - 590*a**3 - 5103*a**3 - 12218*a**3.\nAnswer: -32423*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.05 or -1\/197?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -17, -14, 5, 52, 139?\n\"Answer: 2*f**3 - 4*f**2 + f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*u = 9*u - 331 - 2580. Let f(p) = -23*p - 9. Calculate the remainder when f(-9) is divided by u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -4\/3, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*i**3*s - 3*i**3 + 27*i**2*s**2 + 2*s**2 + 85 wrt i.\nAnswer: -6*i**2*s - 9*i**2 + 54*i*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 295\/2851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 3 - 6)*(-6*m**3 + 2*m**3 + 2*m**3) - 2*m**3 + m**3 - 2*m**3 to b*m + l*m**2 + g + p*m**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -2*v - 20. Let x be z(-10). Suppose 0 = -x*r - 6*r - 0*r. Suppose 13*c - 10*c - 12 = r. Solve -4*y = i + 3*i + c, 3 = y + 5*i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1455, -2855, -4255, -5655?\nAnswer: -7055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*j + 10*j - 3 - 14*j)*(0 + 3 - 2)*(-1 - 1 - 1).\nAnswer: -9*j + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1255741451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 5*s - 2. Let j be f(1). Solve 10*v = -j*v - 65 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-514)\/63 + 2\/(-7) and (2275\/(-260))\/(1 + 0) + 3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.036, 0.4, -10\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -4*((-26)\/(-60) + 50\/75 - 1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -16*(120\/10)\/24\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -3*d - 3. Let o be n(-7). Solve -u - 5*y + 0*y - 21 = 0, -2*u + 2*y + o = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*u + 3 + 87*u - 4 - 11 - 58*u - 10*u - 12*u.\nAnswer: -u - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 2 y when four letters picked without replacement from zzyzzzyzzzy?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the first derivative of -4*q**2 - 11*q - 77. What is the units digit of i(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -435372, -435363, -435354, -435345, -435336?\n\"Answer: 9*q - 435381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2\/7 - 498*c\/7 + 4112\/7.\nAnswer: -2*(c - 8)*(c + 257)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4677 is divided by 1482.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 287 + -286.849. Let q = w + 3.849. Which is the closest to -6?  (a) q  (b) 0.3  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*p = 23839 + 941863. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of 29*w**2\/2 - 10*w + 1. Suppose 0 = 11*h - 6*h + 4*y - 40, 3*h = 3*y - 3. Calculate the remainder when r(h) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes after 5:21 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8.3 in 0.134, -2\/9, 116\/35?\nAnswer: 116\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bkk. Give prob of sequence kk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -143\/209519796 and 46\/324535.\nAnswer: 1047598980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(171) - 3*(sqrt(171) - (sqrt(171)*-2 + sqrt(171))) - (2*sqrt(171)*-1 - sqrt(171)))\/(2*sqrt(1296) - (-2*sqrt(90))\/sqrt(10)) + 1).\nAnswer: -3 + 3*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -154133*s**5 - 119*s**4 - 9*s**2 - 93*s - 756 wrt s.\nAnswer: -9247980*s**2 - 2856*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the third derivative of f**5\/60 + 3*f**2. Let g(s) = -s**2 + 1. Determine -2*g(q) - 3*l(q).\nAnswer: -q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes before 6:16 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100 = 4*q - 404. What is the greatest common factor of q and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7074 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s = s - 10. Let k be ((-235)\/94)\/(1\/2). Which is the nearest to 2\/9?  (a) k  (b) 5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 926*c - 20 - 24 - 85 + 151 - 22.\nAnswer: 926*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -263?  (a) 1\/3  (b) 0.4  (c) -15  (d) -2  (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -64*c**3 - 22*c - 86. Let x be y(-4). Which is bigger: x or 4097?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 229183*m**5 + 14427*m**2 wrt m.\nAnswer: 13750980*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10433566 (base 7) to base 13.\nAnswer: 256438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 142 - 135. Solve -2*p + n = 3*q, 0*p - 14 = -3*p - q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.4 - 33. Round u to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7403441 and 592?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95*j + 18238500 = -53*j + 210*j. List the prime factors of j.\nAnswer: 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(1\/2))**(-2\/15))**(-49)\/(u*u**6*u*u**(-2\/5)*u)**3 assuming u is positive.\nAnswer: u**(-338\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/15470 and -8\/4641.\nAnswer: 46410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in 1, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xcxxxjsssc. Give prob of picking 3 s.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5 + (-150)\/20 - 2\/4. Suppose 0 = 2*n - 3 - 3. Sort 7, n, j, -4.\nAnswer: -4, j, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-247)\/(-57) - 2\/(-3). Suppose -14 - 6 = 4*y, -y = 2*w + z. What are the prime factors of 4 - w\/(-4 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 AM and 9:29 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 300102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 371 + -369. Is r\/(-6) + (-49648)\/(-48) - 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11219622 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, w: 2, d: 2, h: 7, p: 4}. What is prob of picking 2 a?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23\/2 + 12. Let i = 64 - 4033\/63. Let m = 137\/693 + i. What is the third biggest value in a, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4739 is divided by 428?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 11 - -b36?\nAnswer: b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + v + 116 = 0, 5*v = 3*j + 2*v + 96. Let q = -20 - j. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 5*d + 150 = 17, 3*v = -4*d + 92. Calculate the remainder when 93 is divided by v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -92*o**2 + 11*o**2 - 6*o + 6*o as x*o**2 + h*o + z and give x.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**2 - 3*j + 4. Let l be n(-4). Let b(d) = d**2 + 2 + l*d**2 - 2*d**2 + 3*d + 4*d**2. What is the least common multiple of b(-3) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5331 is divided by 116.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 8, x: 9}. Give prob of sequence xx.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = -5*g - 2*n, n - 23 = 7*g - 10*g. What is the common denominator of 111\/80 and 2\/g - ((-11669)\/5040 + 1)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/1092 and 83\/12?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 84*w - 4. Let q be v(3). Suppose 0 = 3*c + 2*g - q, 135 + 41 = 2*c + 4*g. What is the highest common divisor of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = d - 0*d + 2, 0 = 3*d - o - 4. Let q = 4 - 20. Let l = -14 - q. Solve -l*r - 3 - d = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 - 19*u - 118. List the prime factors of r(37).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74658647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h**4 + 2031*h**3 - 143498*h**2 + 1794639*h + 226576 = 0. What is h?\nAnswer: -1\/8, 16, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - l + 668, 1336 = 2*t - 13*l + 8*l. Let r = 1491 - t. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -4*j + 8. Let o(g) = 8*g**2 + g + 1. Let n be o(-1). Let k be d(n). Let l be 6\/21 + k\/231. Which is the closest to 2\/3?  (a) 2  (b) l  (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - -6. Suppose -3*g - q*x + 2*x + 9 = 0, 5*x + 6 = 2*g. Suppose 3*t = -t + 16. Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from bpwsfpnw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4001*j**3 + 2720*j**2 + 5*j wrt j?\nAnswer: 24006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7315862 millennia in decades?\nAnswer: 73.15862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 22, -28, -3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c + 10. Let l be y(7). Suppose -3*u + 11 = -2*k, -2*u + 3*k + 1 - 2 = 0. What are the prime factors of 2 + u - l - 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 3*m - 4*q - 67, 3*m = 5*q + 180. List the prime factors of m.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -4*p**3 - 7*p**2 - 3*p + 5. Let v(l) = -2*l**3 - 3*l**2 - l + 3. Let k(g) = -5*v(g) + 3*y(g). Factor k(m).\nAnswer: -2*m*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 2:30 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4051 + -4050.93124. Let j = -0.83 + 0.9. Let c = j - w. Round c to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56149620 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1\/12  (b) -3\/59  (c) 71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o + 4. Give m(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -91543 (base 11) to base 14\nAnswer: -36a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 44 + 16 = 0. What is the least common multiple of i and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the first derivative of -x**3\/3 + 12*x**2 + 146*x - 1470. What is d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3584 + 747 + 0 - c + 705 - 4151.\nAnswer: -c - 6283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*d**5 - 15*d**4 - 477*d**3 - 2539*d**2 - 2*d?\nAnswer: -300*d**2 - 360*d - 2862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3923698145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -9 + 53. Let i = v - -6. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 321460?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-119 - -93)*(-6)\/(-39)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1784137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -8*s + 1. Let z(x) = 7*x - 2. Let v(p) = 3*c(p) + 4*z(p). Let q(l) = -l + 1. Determine -3*q(y) - v(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 + 35. Let q be g(0). What is the tens digit of q + 3*(3 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1000.6 + -1185. Let g = 184 + f. Let l = 1 + -1.1. Sort 1\/3, g, l in descending order.\nAnswer: 1\/3, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (17 - 2)*(-5 + 6 + -2). Let f be w\/25 + (-113)\/(-5). Calculate the highest common divisor of 1078 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 30.57 + -26.4. Let z = -4 + o. Let j = z - 0.16999961. What is j rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 2*f + 7*f - 80. Let j(g) = -g**2 - g + 1. Let r(q) = 6*q**2 + 8*q + 12. What is f*j(z) + r(z)?\nAnswer: -2*z**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 219600 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - 2800000\/6)\/((-1)\/(-3)). What is a rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -8*q + 19. Let v(b) = -22*b + 57. Let k(u) = -8*a(u) + 3*v(u). Calculate k(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9274 - 4013 = -129*o. Is o greater than 102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -23*b**3 - 7*b**2 + 45*b - 8. What are the prime factors of j(-8)?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*l - 31727*z + 31728*z + 8 = 0, -3*l = 3*z - 24 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 14\/105 - 227\/15. Let d = b - -17. What is the highest common divisor of d and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * 439.\nAnswer: 219.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/2, -1.73, 31\/117 in decreasing order.\nAnswer: 5\/2, 31\/117, -1.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3002, -5843, -8512, -11009?\nAnswer: -13334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 + 10. Let o be 2\/6 + 13\/(-3). Suppose -27 = -192*b - 56 + 29. Sort o, 0.3, n, b in descending order.\nAnswer: 0.3, b, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/11 or -60273715?\nAnswer: -60273715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 + 150*f - 2285. Calculate l(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = -8*q + 15*q. Suppose 14*z + 48 = q. Which is the nearest to 2?  (a) z  (b) -1  (c) -7\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5070*z + 1436*z**3 - 3*z**2 - 5071*z + 533*z**3)*(2 - 2 + z) to i*z**2 + l*z**3 + r + u*z**4 + v*z and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -50 - 125. Let c = -175.000117 - l. Round c to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -33*4\/(-12) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116 is divided by 48.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 355\/7 - (-12)\/42 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-7)\/4 - (1\/(-4) - 0). Let n = 5.5 + -0.5. Which is the third biggest value?  (a) -1\/8  (b) p  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.84 + -1.12. Let n = 3.82 - r. Put 2\/19, n, -1\/5, 2\/7 in descending order.\nAnswer: 2\/7, 2\/19, n, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.9 * 600.3681.\nAnswer: 1140.69939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 132.4*-16.\nAnswer: -2118.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of l*m**4 + 10271*l*m**2 - 28*l*m + 3*m**5 - 58370*m**3 wrt m?\nAnswer: 24*l*m + 180*m**2 - 350220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2\/9 - 10662*v - 479840\/9.\nAnswer: 2*(v - 47984)*(v + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((45\/5)\/36)\/((-22)\/(-16)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -85, -263, -533, -889, -1325, -1835, -2413?\n\"Answer: d**3 - 52*d**2 - 29*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n + 1. Let g(q) = -4*q**2 - 11*q + 4. Let s(h) = -g(h) + 6*i(h). Let w(l) = 7*l**2 + 9*l + 3. Calculate 5*s(v) - 3*w(v).\nAnswer: -v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 1:05 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 8\/89  (b) -0.5  (c) -0.3  (d) -20  (e) 0  (f) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 180 is divided by 53.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + 5*d - 20 = 0. Let y be (-4)\/10 - 134\/d. Suppose 2*p - 58 + 12 = -5*h, -3*p - 2*h + 47 = 0. What is the highest common factor of y and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 606 + -3028\/5. Suppose 4*p - 15 = -p. Let w = -3007\/17 + 177. Which is the second biggest value?  (a) w  (b) p  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 PM and 6:58 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -722, -735, -762, -809, -882, -987, -1130?\n\"Answer: -v**3 - v**2 - 3*v - 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/4*4\/(-98).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d*(d\/(d**(-4)*d))\/d))\/d*d**(-1\/18)\/d*(d**(-2\/3)*d)**(6\/19)*(d**(-2)\/d**(1\/4))\/((d*d\/d**(-4\/3))\/d**(2\/13)) assuming d is positive.\nAnswer: d**(-92297\/8892)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 11*t**2 + 61*t - 148. Determine p(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.408298 * -0.5.\nAnswer: -0.204149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 636 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-850)\/(-65))\/(1370\/(-8905)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + 3*y, -20*i + 1 = -19*i - y. Suppose -18*z + 5*p - 1 = -15*z, -z - p - i = 0. Sort 8, 0, -6, z.\nAnswer: -6, z, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.450092 rounded to one decimal place?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 205440 (base 7) to base 4.\nAnswer: 20223201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3951038.\nAnswer: 2, 7, 13, 17, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n\/n**8))\/n**(-5\/6)*n*n**(-3)*n**(-7)\/n*(n**(-3\/7)*n*n*n**1*n)\/(n\/((((n\/n**(-1\/4))\/n)\/n*n)\/n))**13 assuming n is positive.\nAnswer: n**(-1709\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 4*x**2 + 24*x - 16. Let r(t) = -t**2 - 6*t + 4. Let y(d) = -2*q(d) - 9*r(d). Let p be y(-7). Let s = p - 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**3 - q**3 - q**3)*(16 + 14 - 26) + (-2*q**3 - q**3 + 5*q**3)*(6 - 2 - 3).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -924588*q + 924458*q + 7540 for q.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -1535.5 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -6*t**3 + 5*t**2 - 2*t + 7. Let p(x) = 7*x**3 - 6*x**2 + 3*x - 8. Let s(r) = 6*b(r) + 5*p(r). Factor s(j).\nAnswer: -(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 - -12. Solve -y - g = -3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 4 = 4*u - 48, -4*u = -2*x + 56. Calculate the highest common factor of 1476 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 202700 and 675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5387737\/6 + -895813. Which is smaller: 2142 or o?\nAnswer: 2142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/14 + (-464)\/(-56). Find the third derivative of -18*f**2 + 5*f**5 - 2*f**2 + 6*f**2 + u*f**2 wrt f.\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(240) + sqrt(15)) + sqrt(15))\/(2*sqrt(405)) - ((sqrt(66)\/sqrt(2))\/sqrt(11) - (sqrt(3) - sqrt(3)*4)*4).\nAnswer: -109*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-5\/4)\/s)\/(s**(1\/2)\/s) assuming s is positive.\nAnswer: s**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0, -0.19, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*m - 3*s - 7, -39*s - 8 = -m - 36*s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2\/39 + -113\/78. Which is the biggest value?  (a) 4  (b) g  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d + 6, -3*m - 4*d + d - 12 = 0. Let x be 20\/(-24)*(-5 + m). Let h(i) = i - 103 + 100 - i**2 - i + x*i. Determine h(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 2 = k. Find the third derivative of -s**2 - 5*s**k + 7*s**4 - s**4 wrt s.\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times 3.38\nAnswer: -0.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 167554853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 63722 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19 - -19. Suppose u = 32*p - 33*p + 8. Solve -2*a = -0*a - p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140 = -5*s - 2*h - 135, -4*h - 92 = -24*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 12 = -5*t, h + 2 + 1 = 2*t. Suppose -15 = 5*l + 5. List the prime factors of (l - 0)*(-6)\/t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10*140\/(-4550)*-78?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 194960 and -65?\nAnswer: -12672400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + -2 + 3 - 4. Let y(t) = t**3 + 6*t**2 + 10*t + 22. Calculate the smallest common multiple of y(f) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 378, 391, -4, 22.\nAnswer: -4, 22, 378, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.04 + 5.96. Let d = p + -6.3. Let x = 596\/1515 - -2\/303. What is the second biggest value in x, d, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 38 - 37. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -22 and 19377 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 17099*w - 8547*w - 8552*w - 1 - 69*w**2.\nAnswer: -69*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 - 3*n**2 + 4*n - 1. Let x = -40 + 72. Calculate the remainder when x is divided by m(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 PM and 5:08 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -189*h = -240*h + 153. Let p(f) = 8*f**2. Let t be p(1). Let w be 1\/(2 - 14\/t). Solve u = -w*z + 4*u + 10, -z + h*u = 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-72)\/18*(-5)\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from dbbkbdgb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 + 32*d + 8*d - 12*d - 31*d.\nAnswer: -3*d + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1346 minus 7080775449?\nAnswer: -7080774103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (1 + sqrt(176) - sqrt(77)\/(sqrt(7)*-2)) + 1*((3*sqrt(55) - sqrt(55))\/sqrt(5)*6)**2.\nAnswer: 9*sqrt(11)\/2 + 1580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -1387  (b) 10  (c) -4\/7  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -90*v + 61882194 + 9698676. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s. Let r(y) be the third derivative of 13*y**5\/10 - 532*y**2. Give r(a(p)).\nAnswer: 312*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2, -1, -313, 7 in decreasing order.\nAnswer: 7, 1, -1, -2, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13.16 - -1268.84. Let l = h + -1412.6. What is l rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -189 - -193. Put i, 7, 0.2, 0.3 in decreasing order.\nAnswer: 7, i, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -163404 (base 7) to base 16\nAnswer: -7eba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 83, 3\/5?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 531, 651, 783, 927?\n\"Answer: 6*m**2 + 102*m + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 75\/6 + (-1)\/(-2). Let i(o) = -14*o**2 + 3*o**3 + 279 - 2*o**3 + 15*o - 262. What are the prime factors of i(t)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 2212 and -178476.\nAnswer: -176264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1239269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1139.281302 + -12.293562. Let t = a - 1127. What is t rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1625904124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130090752 is divided by 2304.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*z = 65 + 7. Let k(a) be the second derivative of 1\/15*a**z + 0*a**3 - 3\/2*a**2 + 0*a**5 + 0*a**4 + 0 - a. Differentiate k(p) wrt p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -20*2\/(-28)*35\/10. Suppose -2*u - 2*u = c*z - 4, -2*z + 20 = -3*u. Let m(r) = -r**2 + r - 4. What is m(u)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 54423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-513))\/(1994\/(-35892))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14.9 + 11. Let n = h + 3.8. What is the second biggest value in 0.5, n, -2\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -196191372 divided by 284748\nAnswer: -689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 146?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -43894*q**2 + 32*q - 40278. Let n(k) = -8777*k**2 + 6*k - 8055. Let j(w) = 3*a(w) - 16*n(w). What is the first derivative of j(u) wrt u?\nAnswer: 17500*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/(-42)*-2*(-27)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -607*z**6 - 73*z**2 + 6 wrt z.\nAnswer: -72840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 38, 354, 670, 986?\n\"Answer: 316*p - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -14*m**2 - 517*m + 3306. What is s(5)?\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 81*c - 1745 - 3659 - 1212 - 593 for c.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -809, -1601, -2393?\n\"Answer: -792*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (196\/14700)\/((-1)\/(-3))?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8418014 and 44?\nAnswer: 16836028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(39) - (sqrt(4719) - (sqrt(4719)*4 + sqrt(4719) + sqrt(4719))))\/sqrt(3))**2.\nAnswer: 224*sqrt(13) + 40772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1152113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -72.43 + 72.8731. Round n to two decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -1076\/5*j - 144722\/5 - 2\/5*j**2 = 0.\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the second derivative of v**6\/15 - 29*v**5\/40 + 67*v**4\/24 - 17*v**3\/4 + 9*v**2\/4 + 5*v. Determine k, given that f(k) = 0.\nAnswer: 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 + (5 - 2) - 2. Let x(f) = 2953*f**3 + 3*f**2 + 2046*f**3 - f**2 - 1. Let l be x(i). What is l rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1202 - -20001101211222?\nAnswer: 20001101220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 5*c - 3*v - 21 = 0, -3*c = -3*v - 18. Let n = 15 + -9. Suppose -n = l - c*l. Solve 10 = 5*g - 3*h - 2*h, 0 = 5*g - l*h - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -92 + 120. Let s be 4\/(-18) + (o\/12)\/(-7). What is the third biggest value in 0.5, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 54510 and 11850?\nAnswer: 272550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26 + -24. Solve 4*v = m + 2, -3*v + 5*v + m + s = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that k**2 - 47211*k + 94418 = 0.\nAnswer: 2, 47209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -3*h**3 + 3*h**2 + h + 11. Let w(j) = -14*j**3 + 13*j**2 + 5*j + 48. Let v(c) = 9*p(c) - 2*w(c). What is v(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -180805 or -180803?\nAnswer: -180805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -228242\/9 - -25356. What is the common denominator of 37\/(-36) - (-1)\/(-3) and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2075 and 581.\nAnswer: 14525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of i**4\/8 - 11*i**3\/6 - 21*i**2. What is l(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8758*i**2 - 10738*i**2 - 14280*i**2.\nAnswer: -16260*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -798*v**2 - 30*v + 4. Let w(b) = 1598*b**2 + 55*b - 7. What is -11*j(h) - 6*w(h)?\nAnswer: -810*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133) - (sqrt(133) + sqrt(133) + sqrt(133)*-2)*2)\/((sqrt(77) + (sqrt(77)*-2 + sqrt(77) - sqrt(77)))\/sqrt(11))*3.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-196)\/(-686))\/((-2)\/42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - 2) + (-59 - -93).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2693087, -5386176, -8079265, -10772354?\nAnswer: -13465443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 393674 is divided by 95.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1682094984 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/16*(-224)\/(-168)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7 + 15 + 6 - 19 + 6*d wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 22\/90425 and -29\/32553?\nAnswer: 813825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from tffffffft.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three halves of a kilogram in grams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**(-5\/4))\/d**(-3))\/(((d*d**(-1\/12)*d*d)\/d*d)\/d**(-2\/7)))\/((d**(-2\/5)*d**2\/d)\/(d\/(d*d**0))**(-10\/11)) assuming d is positive.\nAnswer: d**(-221\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (((-6)\/8)\/3)\/((-9)\/(-12)). Let f be -4*(2\/40)\/(-1). Let u be 26\/16 + 6 + -8. Sort f, u, y in increasing order.\nAnswer: u, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (2 - (7 - 1))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of -w**4\/4 + 9*w**3 + 57*w**2\/2 + 603*w. Factor d(o).\nAnswer: -3*(o - 19)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**2 + 6*x - 12. Let i be k(6). Let v(f) = -f**2 - 10*f - 6 + 29 + 2. Let z be v(i). Which is the second smallest value?  (a) -3  (b) z  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1396)\/(-6) + 6\/(-9))*2\/4. What is the greatest common divisor of 1189 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 + 3*y - 2. Let c be z(-3). Let r be 33\/c*(-32)\/6. What is the highest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 70 = -502. Let n = x - -2004\/7. What is the closest to 0.2 in n, -3, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 x, 1 h, and 1 e when four letters picked without replacement from {u: 1, x: 1, h: 4, r: 5, e: 1, c: 1}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.14*12273.71.\nAnswer: 1718.3194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.04 in 16, 1\/2, 87, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**3 - 5*z**2 - 5. Let b = 2 + -14. Let h(x) = 3*x**3 - 12*x**2 - 12. Let r = 25 - 12. Suppose -r*n = -33 - 32. What is b*i(g) + n*h(g)?\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4684 - 2*p - 9377 + 4693.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z**2 + 42 + 255393*z - 42 - 255393*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 71 + -70. Let u(w) = c - 11*w + 24*w + 6*w. Give u(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 5*u - 7. Let m be (-4 + -2)\/(u\/(-14)). Solve -c + 6 = -a, -4*a + 5 - m = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.028011 * 3819\nAnswer: -106.974009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*k + 12 = 61*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2723\/20 - 136. Let v = p - 1\/20. Factor 9\/10*o + 27\/10*o**3 - v - 27\/10*o**2.\nAnswer: (3*o - 1)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.019999539 - -5.02. Round m to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -0.1, 2\/3, 3\/14, -4?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 116533.\nAnswer: 116533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 2 = a + 1, t - 2*a = 6. Suppose t - 1 = -g. Let i be (84\/(-8))\/(g\/(-2)). What is the greatest common divisor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*o**4 + 57*o**3\/2 + 36*o**2 - 33*o\/2 - 3 = 0. What is o?\nAnswer: -1, -1\/7, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/(-9) - ((-247)\/3 + -2). Suppose -22*k = -17*k - g. Suppose -4*p = -53 + k. Solve 3*o - p = 3*r, 3*r + 2*o = o - 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*m + 46 = 26*m. Let n = 39 - m. Let v = -6 - -10. Solve -n = -0*g + v*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2863379 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(78)\/sqrt(6))**2 - sqrt(13)) + sqrt(13)*-5*5.\nAnswer: -26*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-4))\/((-6)\/12)*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 221 + -141. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -330*b - 191*b + 4372 = 1665*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 230 = -6*s. Suppose -3*g = -2*r + 42, 0 = -0*r + 2*r - 4*g - s. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2838 divided by 2.\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-4) + (-2165)\/230 + 8.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 22, -1, 1010, -3 in decreasing order.\nAnswer: 1010, 22, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f - 33 = 5*s, -2*s - 14 = -2*f - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h - 2*h**2 + 5 - 2*h + 5*h**2. Suppose 6 = 3*v, -2*r - 4*v = 3*r - 53. Calculate the lowest common multiple of r and a(2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -38\/2647 and -57\/10.\nAnswer: 26470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*g = 875*g - 478*g + 3006 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 0*o + 4*o = 14, y - 2*o - 7 = 0. Let l(a) = -a + 12. Let q be l(y). Let w = 0.1 - -0.4. What is the third smallest value in q, -0.4, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 5  (c) 1  (d) 255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the third derivative of m**5\/60 - m**4\/3 - 11*m**3\/6 - 97*m**2. What is the tens digit of y(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 228 divided by 6.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes after 4:51 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 319 + -107. Let o be (-3)\/(-1) + i\/(-53). Sort -2, 3, o in decreasing order.\nAnswer: 3, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 4*j - 16 = 0, 0 = 3*j - j - 2. Suppose -r + 45 = m. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 - 8*z**2 - 11*z - 5. Let q be s(-7). Suppose -83 + q = -5*i. Let l = 43 - i. List the prime factors of l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 487037*s**3 + s**2 - 10*s + 22. Let r be u(3). What is r rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -28*o. Let r(y) = 190*y**2 - 4*y. Calculate i(r(q)).\nAnswer: -5320*q**2 + 112*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -48 - -68. What is the remainder when 79 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.3 or -10662?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/137 in -2\/47, 0.5, 2\/9, -0.5, -2\/21?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 574854 is divided by 453?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + -3 + (2 - 2) + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*f - 12004 = -21739. Calculate the greatest common divisor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*u + 1 - 1 + (-6*u + 4*u + 3*u)*(2 - 2 + 2))*(0*u + 0*u - 4*u)*(-3*u**2 - u**2 + 2*u + 5*u**2) as z*u + d*u**4 + g*u**3 + m + k*u**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 10 + 1 = -3*i, -3 = 3*g - i. Let n = 5 + g. Let l = -8.6 - -8.6. Which is the nearest to l?  (a) n  (b) 1\/5  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 8 = -4*r, r + 3*r = -2*m + 6. Let d(x) = x + 1. Let h(s) = s**2 + 2*s + 1. Give m*h(u) - d(u).\nAnswer: u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -3*k + 10. Suppose 5*n + 2*l - 4*l - 14 = 0, 0 = 3*n + 3*l - 21. Let a be h(n). Let r be (-24)\/18 + (-3)\/(-9). Sort -28, r, a in increasing order.\nAnswer: -28, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*t + 7 = 89*t. Suppose -7*u + 21 = 28. Let i = -2.96 + 3. Which is the third smallest value?  (a) i  (b) t  (c) u  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1358 divided by -194.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1535371 is divided by 674?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 + w**2 + w + 2. Suppose 0*i = -4*i. Let h be g(i). Which is the third smallest value?  (a) 1\/2  (b) -0.4  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/36*((-405)\/40)\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 102\/65 + -10\/13. Let w = -4 - -6. Let x = 2.5 - w. Sort n, -3, x in descending order.\nAnswer: n, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -54.6692 - 2545?\nAnswer: -2599.6692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -49*72.4\nAnswer: -3547.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-12)\/s*s*(s\/((s**(-3\/14)*s)\/s))\/s*(s**(-5)*s)\/(s\/s**(4\/5)))**(2\/39) assuming s is positive.\nAnswer: s**(-373\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.3 - 0.1. Let l be -3*4\/(-6) + 2. Sort l, z, -1\/6 in descending order.\nAnswer: l, z, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 2*s + 40. Give g(16).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-5))\/((-1)\/5). Suppose m*z + 71907 = -2*r + 3*r, -17961 = z + 5*r. Let l = z + -88024. What is l rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 + 6*g - 6. Give q(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*g**3 - 367*g**2 + 367*g**2.\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(-1 + 1\/(-2)). Let f = -422 - -417. Let m = -242 + 247. Sort f, i, m in increasing order.\nAnswer: f, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 - 47 - (109 - 211)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 434424420 (base 5) to base 13.\nAnswer: 507b26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, s: 6, l: 4, y: 1, b: 1}. Give prob of sequence ly.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 29293072, 58586148, 87879226, 117172306, 146465388, 175758472?\n\"Answer: r**2 + 29293073*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -98 + 96. Which is the second smallest value?  (a) f  (b) -3  (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 43 = z, -6*z + 2*z - 132 = -4*l. Suppose k + 3*s - l = 0, 4*k - s + 2*s = 119. What are the prime factors of k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 AM and 3:21 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 17*k + 2. Let s(b) = -35*b - 4. Let n be (-20)\/(-15) - 2\/6 - 3. Let y(i) = n*s(i) - 5*c(i). Differentiate y(o) with respect to o.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t**3 + 9*t**2 - 11*t + 11. Let v(k) = k**3 + 5*k**2 - 6*k + 6. Let o(f) = -4*a(f) + 7*v(f). Let x be o(1). Is x < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v + 1. Let f(g) = -3*g**3 - 2*g**2 + g. Let l be f(1). Let r(m) = 20*m - 38*m + 2 + 17*m. Give l*z(d) + 3*r(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 + 123*y + 3363. Calculate i(-82).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 - 5*m + 1. Let a be i(-4). Let w(s) = 2*s**2 - s - 6. Let z(g) = 3*g**2 - g - 7. Suppose d = 54*d + 190 + 22. Give a*w(c) + d*z(c).\nAnswer: -2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -1. Let w(k) = k + 1. Suppose 32 = -4*u - 2*x - 2*x, 0 = 2*u - x + 7. Calculate u*f(v) - 2*w(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 13, -10, -1 in increasing order.\nAnswer: -10, -1, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -89276566*a**4 + 2913430*a**2 - 34*a?\nAnswer: -2142637584*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180*v - 6708 = -768 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 11) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -654836 divided by -257?\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -283880*q**3 + 5 + 183868*q**3 - 5.\nAnswer: -100012*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 44a0d (base 16) to base 4.\nAnswer: 1010220031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1026 by 6.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -185, -1011, -2477, -4583, -7329, -10715, -14741?\n\"Answer: -320*q**2 + 134*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z - 12. Let f be k(-13). Let q(i) = -2*i**3 - 4. Let g(v) = -v**3 - 1. Calculate f*q(s) - 5*g(s).\nAnswer: 3*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 24, 3, 6, 1.\nAnswer: 1, 2, 3, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2, 53, 140, 263, 422?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-6 - -12) + -2 - 1) + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 - 4*v + 7. Let n be z(6). Let c = -13 + n. What is the third derivative of -6 + 6 + k**2 - 2*k**c wrt k?\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, f: 7, a: 1, n: 7}. What is prob of picking 1 a and 1 n?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 93061, 186029, 278997?\n\"Answer: 92968*g + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, 5, -890279 in descending order.\nAnswer: 18, 5, -890279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 - 2*m**2 - 4*m - 2. Let x be v(-2). Let n = x + 10. Let u(t) = -t**2 + 3*t + 71. Let w be u(10). Solve n*d + w = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -86783.2 rounded to the nearest 100?\nAnswer: -86800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12656 + -848018\/67. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 9961589 and 9961589 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 2*q**2 - 1142*q + 140762. Determine y(391).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 6. Suppose -12 = -q*k + 3*k. Suppose 12 = k*d - d. Let c(r) = 2*r. What is c(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 - -171. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -4*i**2 - 2*i + 1. Let w be q(1). Is 46 - ((-3)\/15*w - 2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 5. Let t be (s*-6)\/((-3)\/2). Suppose n = -t*n + 160. Does 26 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -0.5  (b) 4.33  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 14.2699 litres?\nAnswer: 14269.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 + 1 + 0 + -2. Let a(o) = -4*o**3 + 5*o - 5. Suppose 4*z + 4*j = 4, -2*z - 5*j - 35 = -5*z. Let y(t) = -3*t**3 + 4*t - 4. Calculate i*a(l) + z*y(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00489 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8326919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 101100 (base 2) to base 16\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5228?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/1 + -13 + (-1 - -54). Let c = 16 - -416. What is the greatest common factor of c and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4635 and 144929240?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 66485.38cm?\nAnswer: 664.8538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 11*u**2 + 137. Let x(p) = 1092*p. Determine a(x(t)).\nAnswer: 13117104*t**2 + 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) -3\/4  (c) 3  (d) -226.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-3)*p\/(p*p*p**(2\/7)*p))**(-19) assuming p is positive.\nAnswer: p**(703\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -149517*o + 5. What is y(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -23254623 (base 7) in base 2?\nAnswer: -111110011110101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + (30 - (-28 - -42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 19 - 7*k**3 - 3*k**2 + 1 - 44.\nAnswer: -7*k**3 - 3*k**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -95.106 + 95. Let u = -0.08 + -0.02. Let h = u - f. What is h rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the first derivative of t**3\/3 + 9*t**2\/2 - 2*t + 1. Let p be n(-9). Is p at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -249707, -499399, -749091?\n\"Answer: -249692*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 4*y + 17106 = 0, 51233 = 3*x - 8*y + 3*y. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 3*x**3 - 7*x**2 - 2*x**3 + 3 - 5. Let z be d(7). Calculate the remainder when 4 is divided by z*((-27)\/(-6))\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-11)\/(132\/9)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/36*(-78)\/(-208)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 203, 405, 607, 809?\nAnswer: 1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -3\/5*n**2 + 459\/5 - 456\/5*n = 0?\nAnswer: -153, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from lllluuuuuuullulululu.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 62.89437 decades?\nAnswer: 628.9437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 50 + -50.027. Let h = -0.027 - i. Which is the closest to h?  (a) 2\/7  (b) -0.2  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 48 = -2*o. Let x be ((o\/15)\/(-2))\/(-2). Is 1 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -5 + 6*k**2 - 7*k**2 + 0. Give a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/(i*i**0)))**(4\/21)\/(i\/(i\/i**0)*i*i)**(21\/2)*(i\/i**(-3))\/i**(-3\/5)*(i*i\/i**1)\/(i**(-1\/4)\/i*i) assuming i is positive.\nAnswer: i**(-6283\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w + 7*w = 3. Let t be 3 + -2 - -3*(-4)\/w. Let q(j) = j**3 - 5*j**2 + j + 7. Determine q(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/5  (b) 1  (c) -17  (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 35167891\/30 - 1172382. Let g = -119 - c. Let z = -6361\/636 + 9\/106. Calculate the common denominator of g and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.66 in 0.8, 1, 4, 2, -0.28?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-8)\/(-40)*2)\/((-4)\/(-10)). Let q(t) = 62*t**3 + t**2 + 2*t - 3. What is the remainder when q(h) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 3 = 2*p, 2*b - 6109 = 3*p. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 - 3*r**2 + r - 2. Let h be (-2)\/1 + 2 + -4. Let s be l(h). Let i = s - 7. Solve 4*w - i*p - 16 = -p, 4*w - 5*p - 16 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, 5, -1, -30, 1, 2.\nAnswer: -30, -3, -2, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -29 and 7774?\nAnswer: -225446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16216\/2367 - -10\/263. Suppose -1 + 9 = -2*o. Find the common denominator of 1\/o + 522\/48 and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1023 - 21011?\nAnswer: -22100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*z - 4*z + 12. Calculate the remainder when 12 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15041286 to the power of 1\/2, to the nearest integer?\nAnswer: 3878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23*v + 20*v + 18*v)*(1 - 156*v**2 - 1 + 11*v**2 - 301*v**2).\nAnswer: -27206*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, -5, -0.2 in ascending order.\nAnswer: -18, -5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -24565 or 20\/7?\nAnswer: -24565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m + 4. Let k be v(3). Suppose -5*s = -4*d + 22, -d - 4*s = 4*d - k. Solve 2*c - 3*c + d = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 5:42 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 40012111 + 413?\nAnswer: 40013024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3574*j**4 + 308 + 287 + 19*j - 596 - 645*j wrt j.\nAnswer: 42888*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 371009 and 0.4.\nAnswer: 148403.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.395396 to 2 dps.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*m**3 - 3 + m + 0 + 244*m**2 - 80*m**2 - 108*m**2 - 3*m**3 as j*m + v*m**3 + z*m**2 + l and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 6a4 (base 16) in base 4?\nAnswer: 122210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16 and 710294.\nAnswer: 5682352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -235 + 221. Let y be (-16)\/h*364\/8. Calculate the greatest common factor of y and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 AM and 11:17 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -75175, -74523, -73865, -73201, -72531, -71855, -71173?\n\"Answer: 3*z**2 + 643*z - 75821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23689 is divided by 23682.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 267495457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Round 677.3 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -25*u**3 + 52*u**2 + 171*u + 100. Let j(o) = 9*o**3 - 17*o**2 - 57*o - 34. Let x(f) = 3*d(f) + 8*j(f). Is x(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 2*t - 1273 = 0, t + 4*t + 1285 = 5*r. Let z(s) = -510*s + 256*s + r*s. Let g(a) = 32*a. Give z(g(i)).\nAnswer: -32*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 5 + 1. Calculate the least common multiple of 75\/9 - (-10)\/15 and c*(-11)\/(-2)*-1.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 890 divided by -158\nAnswer: -445\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 13391111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 AM and 12:36 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 95\/(-855)*6\/(-8)*-4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together -928 and 16575313.\nAnswer: 16574385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 87074?  (a) -1  (b) -1\/2  (c) 0.19  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -318a09 + -1?\nAnswer: -318a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -10*w - 49. What is j(8)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1269030429 + -1269030343.99999897. Let o = -85 + k. What is o rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 0.5, -3498, 2\/11, 0.4 in descending order.\nAnswer: 0.5, 0.4, 0.2, 2\/11, -3498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 + 8*r**2 - 4*r - 1. Let f be g(3). Let t = 57 - f. Solve 5*a - t = 3*z, -5*a = -31 + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9\/19 - 390\/703. Let f = 125\/629 + t. Let j = -2 + 3. Which is the nearest to j?  (a) f  (b) -4  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62561 is divided by 129?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -6*v**3 + 10. Let m(n) = 2 - 1 - 2. Let l(p) = -p**2 + 1765*p + 3535. Let y be l(-2). What is y*g(j) + 10*m(j)?\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 14*u + 3. Let y(g) = -2 - 9*g - 5 + 4 + 0 + 1. Suppose -13*m = -8*m - 25. Suppose 40 = h + 4*h. What is h*y(d) + m*n(d)?\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9.01 + -0.01. Let w = o - 5. Let v = 0.1 + -2.1. What is the second smallest value in w, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4671 divided by -5494\nAnswer: -4671\/5494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 29 = 5*v - x, 3*v = 2*x + 19. Find the third derivative of -9*r**2 - 2*r**3 - 11*r**v + 2*r**5 + 2*r**3 wrt r.\nAnswer: -540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20826 + -12428. Does 34 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 AM and 2:11 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.136 - -0.063. Round s to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 3 = 3. Suppose 45 = z*v - 3*m + 3, -3*m = -v + 6. Let a(f) = 10*f**2 - 82*f - 18. Let w be a(9). What is the highest common divisor of v and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/1 + (35 - 1). Let b be l\/3 + 1\/3. Suppose -28046*n = -28059*n + 104. Solve -4*p + n = -2*g, -4*g + b = 2*p - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*h**4 + 140*h**3 + 176052*h**2 - 11030432*h - 11206336 = 0. Calculate h.\nAnswer: -331\/2, -1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*(z*z\/(z*z*z**(-2)*z))\/z)\/z*z)**(21\/4)\/(z*z\/(z**(-1\/4)*z))**24 assuming z is positive.\nAnswer: z**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -53 + (111 - 106) - 7.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 871 equal to 665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -839010 plus -482285780?\nAnswer: -483124790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - 4 - 1 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00145779 rounded to 5 decimal places?\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -13*c - 228. Let r be p(-18). Let i(v) be the first derivative of 0*v**5 - 2\/3*v**3 + 5 + 0*v**2 - 3\/2*v**4 + 0*v + 4\/3*v**r. Solve i(s) = 0 for s.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10\/(810\/(-261)) + 3. What is the second biggest value in k, 0.4, 33?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2351 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 3*g**5 + 213*g**4 - 234*g**3 - 1296*g**2 = 0.\nAnswer: -72, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -392\/9 + 1469\/36. Is -1\/87 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.47 or 2225.9?\nAnswer: 2225.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 74.3 - 74. Sort 0.4, l, -2 in descending order.\nAnswer: 0.4, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -572135 = -5*z - 2579635. What is z rounded to the nearest 10000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (17\/(-68))\/(-110*24\/(-1152))\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 9}. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = 6*t - 211. Suppose -26 = 19*k - t. Which is the nearest to k?  (a) 77  (b) -0.4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 726759.6 hours to weeks.\nAnswer: 4325.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -2*x**2\/3 - 2098*x\/3 - 2096\/3 = 0?\nAnswer: -1048, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of -1\/6*n**4 + 2\/3*n**3 - 6 - n**2 + 4*n. Let z(j) be the first derivative of x(j). Give z(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*r - 248 + 162 = 244 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-13)\/(s*s**(-3\/2)))\/(s**7\/s**6) assuming s is positive.\nAnswer: s**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86 = 5*x + 4*t + 48 + 122, 0 = 5*x + 16*t + 244 for x.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -49160 divided by -8\nAnswer: 6145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -826 - -826. Suppose -2047*p + 2048*p = g. Let o = -0.3 - 0.1. What is the closest to 1 in o, p, -1\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22960 is divided by 223.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 120432 + 432202?\nAnswer: 1103134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of -p**3\/3 - p**2\/2 - p - 14. Let j(y) = -26*y**2 - 3*y - 3. Let l(h) = -3*d(h) + j(h). Let t(q) = -q**2. What is t(l(s))?\nAnswer: -529*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 q when three letters picked without replacement from {i: 11, q: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 4092792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.2 - -33712321306.\nAnswer: 33712321307.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -17. Let r = 125 - 122. Suppose 120 = d + 2*d + 3*a, 114 = 3*d - r*a. Calculate the remainder when d is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (97\/2)\/(-2 + 225\/110). Solve -1074*l - 28 = -z*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 243117 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1004659755 to the power of 1\/2, to the nearest integer?\nAnswer: 31696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2492, -5029, -7600, -10199, -12820, -15457?\nAnswer: -18104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.051 - -1.437?\nAnswer: 1.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 231037951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*j**4 + 252116*j**3 + 201632*j**2 - 605040*j = 0.\nAnswer: -12605, -2, 0, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 4*x - 2*c - 2*c, 3*c = x + 1. Let h(b) = 4*b + 4. Let f(w) = -3*w - 3. Let z(g) = 7*f(g) + 5*h(g). Let k be z(x). Solve -4*s + s = k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 2 = 12, -3*j = -5*k - 166. Calculate the smallest common multiple of 4 and -6 + (-7)\/((-7)\/j).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -1.2, -0.5, 4.8, -0.4, -6.\nAnswer: -6, -1.2, -0.5, -0.4, 0.5, 4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*y**5 + 10*y**5 + 6*y**5 + (-y**4 + 2*y**4 + y**4)*(2*y - 2*y - y).\nAnswer: 7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of y**3\/3 + 3*y**2 + 8*y + 720. Suppose 2*z = k + 5, -4*k + 0*k = -z + 20. Determine s(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*h - 122 - 137. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*m**5 + 840*m**2 - 2*m + 881 wrt m?\nAnswer: -40*m**3 + 1680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -382 by -382.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = m + 2*w + 8, -4*m - 2*w + 77 - 53 - 44 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 + 8*t + 9. Let x be y(6). Let r = x - 17. Differentiate -5 - r - 1 - 7*v**4 wrt v.\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 3*u - 12, -u - 2*r + 5*r + 11 = 0. Let b be (-224)\/(-12) - 4\/6. Suppose 0*g = u*g - b. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -2*n**2 + 78*n - 3. Let t be u(39). Let k(d) = -2*d. Calculate k(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -2*m**2 - 3*m. Let l(w) be the second derivative of 5*w**4\/12 + 7*w**3\/6 - w. Let g be (62 - 23) + -2 - 40. What is g*l(f) - 7*q(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the first derivative of -5*x**6\/6 + 5*x**3\/3 + 8. What is the third derivative of f(m) wrt m?\nAnswer: -300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2 - 4*y - 2. Let w(u) be the first derivative of -3 + u**2 + 1 + 1 - 2*u**2. What is w(j(h))?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1582476.\nAnswer: 2, 3, 7, 18839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 468 + -306. Let f = -1561 + 1561. Suppose f = -3*v + r + 27. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -170652 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -893 plus 260.402563?\nAnswer: -632.597437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -121.7125 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-14\/3)*o*o**15)**(-19\/4) assuming o is positive.\nAnswer: o**(-323\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 164\/42 + (-22)\/(-231). Solve f + i - v = 1, 5*i = 3*f - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*z - 1231 - 1205. Let q be 7 + z\/36 + 2\/(-12). Solve q*b = -s - 2, -3*b = -5*s + 33 - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6.4 + -6.3. Let v = 111 - 105. Let n be v\/(-8)*(10\/9 + -2). Which is the nearest to n?  (a) f  (b) 0.5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.07 + 0.07. Let i = k - -2.9. Let q be (-6 - -5)*(-1)\/(-5). Which is the closest to i?  (a) 1  (b) q  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 15 + 87. Let t = h + 92. Is (t\/4)\/(1\/2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2 + 3. Let w be f(0). Suppose -h + 0*h = w. What is the remainder when 18 is divided by (-36)\/h - 2\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 20 - 10 - (3 - 2). Let a(y) = -y**3 + 7*y**2 + 20*y + 4. Let i be a(u). Let o be 4\/(-18) - (-3568)\/18. What is the highest common factor of o and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 4*g - 29. Let j(d) = 228*d. Give l(j(t)).\nAnswer: 912*t - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 2*g + 0 + 0 + (-g - g + 0*g)*(0 - 4 + 1) as d*g + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 236631 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-45)\/225*50\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 119*g**2 - 352*g?\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10627038 is divided by 3542320?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -3*j - 1 + 0*j + 4*j**2 + 5*j. Let t(a) = -a**3 - 7*a**2 + a + 8. Let g be t(-7). What is u(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of -8*q**3\/3 - q**2\/2 - 90. Let x(p) = 17*p**2 + 2*p. What is 13*d(c) + 6*x(c)?\nAnswer: -2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -4*s**2 - s + 2. Suppose 0 = 106*v - 111*v + 10. Calculate b(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of 12*c**2 - 48*c - 9. Calculate the least common multiple of 66 and s(3).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.1 and 20376037784086.\nAnswer: 20376037784086.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -460 + 4132. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 12\/7  (b) 2\/17  (c) 11\/8  (d) -1  (e) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -502\/7 - -72. Let p = -0.044 + -0.456. Which is the nearest to 1?  (a) z  (b) -0.4  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + 1. Let z = 1 - j. Let a be -2 - (-3 - 2 - -2). Is a smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 59\/4 of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28) + (sqrt(168)*-1 + sqrt(168) + sqrt(168) + sqrt(168))\/sqrt(6))\/(sqrt(4) - -1*sqrt(4)*3).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 7157, 57329, 193539, 458807, 896153, 1548597, 2459159?\n\"Answer: 7170*i**3 - i**2 - 15*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 7 - 3 = 10, 5*q + l = -41 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45533.54 milligrams to tonnes.\nAnswer: 0.00004553354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -57*c**2 - c + 309. Determine s(-9).\nAnswer: -4299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the third derivative of o**6\/40 + o**5\/30 + o**4\/24 - o**3\/6 + 678*o**2. Calculate m(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 - 1. What is the nearest to -0.1 in 1\/2, 1, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 7:48 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 - 85 + 26*z + 73 - 33*z**2 + z**3 - z**3 + 30*z. Does 36 divide a(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (((sqrt(1377)*2 + sqrt(1377) - sqrt(1377))*3 + 0 + sqrt(1377)*2)*-2)**2.\nAnswer: 352516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 372\/15 + ((-11421)\/3995 - 2\/(-34)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -8*m + 1. Let k(o) = o**3 - o**2 - o - 1. Let b be k(0). Is 9 a factor of t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 65657876 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 47068995?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 + 19 = c. Let c - 16*h + h**2 - 12*h + 59 + h**2 = 0. What is h?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, 29, -1, 1, 6\/5 in increasing order.\nAnswer: -1, -2\/9, 1, 6\/5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 34384 and 54?\nAnswer: 1856736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2. Let d(u) = -u**2 - 5*u + 72. Let v be d(-11). Let a(k) = k**2. Let t(f) = v*a(f) - 5*c(f). Let g(h) = 2*h - 25. What is g(t(p))?\nAnswer: 2*p**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*m - 408 = 189*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 divided by 39.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -417, -830, -1243, -1656?\n\"Answer: -413*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -765.8 - -766. Let p = 0.984 - -0.226. Let t = -0.21 + p. What is the nearest to z in 3, t, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5.9 + -6. Let i(j) = 87*j**2 - 4*j - 3. Let z be i(-1). Let p = 87 - z. Which is the nearest to d?  (a) p  (b) 3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -90, -387, -914, -1671, -2658, -3875?\nAnswer: -5322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94\/(-2)*(-3 - -2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of 4\/15*f**6 + 0 + 0*f**5 + 0*f + 37*f**2 + 0*f**3 - 35\/24*f**4. What is the second derivative of u(i) wrt i?\nAnswer: 192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j + 1. Let a be 4*2*(-3)\/(-6). Let y be ((-2)\/a)\/((-4)\/(-48)). What is n(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.013 + -0.313. Which is the nearest to -2\/3?  (a) 4  (b) 2\/7  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h + 2*x = -8, 5*h + 26*x + 4*x = -45 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*5*((sqrt(1088)*-2 - sqrt(1088))**2 + 1 + sqrt(425)).\nAnswer: -244825 - 125*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -4*c**3 + 4*c**2 + 8*c - 8. Let m(z) = -3*z**3 + 3*z**2 + 5*z - 5. Let j(d) = -5*l(d) + 8*m(d). Suppose j(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*t + 20 + 8 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37 + 33 - 70 + 69*t**2.\nAnswer: 69*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ltl when three letters picked without replacement from oyooyooltolooyoyo.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 - 6*s**2 + 4. Let w be m(6). Suppose -5*j = c - 9, 11 = w*c - 5. Let i = 5 - j. Let r(k) = 2*k - 2. Determine r(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 3, c: 2, a: 3, f: 1, p: 1, i: 2}. Give prob of sequence acap.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1452 + 69*g**2 + 624*g**2 + 122*g**2 + 813*g**2 wrt g.\nAnswer: 3256*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -104*x**2 + 41*x**2 + 23*x**2 + 1160263 + 41*x**2 - 1160263.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 31*z**2 + 250. Let p(y) = 7*y**2 + 63. Calculate 4*b(k) - 18*p(k).\nAnswer: -2*k**2 - 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21293 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 + -4 - 6 - 3. Let u be 6\/j + (-26)\/65. Which is bigger: u or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -22, -5408 in increasing order.\nAnswer: -5408, -22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8.4, -1\/8, -2, 2, 1, -0.3.\nAnswer: -2, -0.3, -1\/8, 1, 2, 8.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -80578059*z**3 + 4*z + 5583691?\nAnswer: -483468354*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uppupuuu. Give prob of sequence up.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 95099 by 2.\nAnswer: 95099\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -1\/5, 1\/125, -2 in increasing order.\nAnswer: -2, -1\/5, 1\/125, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aiiciiiciaiiiiiiiac. What is prob of sequence aaia?\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 7*c**3 - 8*c**2 + 28*c + 18. Calculate a(4).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23 + 2734*s + 33 + 39 - 93 to i + m*s and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes before 10:02 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/(s**(-23)\/s)*s)\/(s\/(s*(s\/s**(-2\/33))\/s))*(s**(-4\/17)\/s)\/(s\/((s*s*s**9\/s*s)\/s)))**(-3\/26) assuming s is positive.\nAnswer: s**(-19537\/4862)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of -i**6\/10 - 57*i**5\/10 - 321*i**4\/4 + 380*i**3 - 600*i**2 + 139*i. Determine d, given that l(d) = 0.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6094323*i**2 - 5812690*i.\nAnswer: 12188646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kksshkksk. What is prob of sequence hsk?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/400  (b) -0.2  (c) 4  (d) 37103\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 966\/(-48) + (15 - 37)\/(-176).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2706061*z + 2708045*z + 277760 = 0 for z.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2305 and -4087.\nAnswer: -6392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4941315 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 2:57 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10330 - -10348. Solve 5*p = -0*p - 4*k - 3, -p - s = -5*k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 343603 or 344935?\nAnswer: 344935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzszzszsskzszsz. Give prob of sequence sz.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 11:28 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -8*k**4 - 267124*k**2*s**2 - 90*s**2 + 9742 wrt k?\nAnswer: -32*k**3 - 534248*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2491 by -1.\nAnswer: 2491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 16 = -20. Let q(r) be the second derivative of r**3\/6 + 2*r + 1207. Give q(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -426*v + 421*v = -5*m, -2*v = 5*m + 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) 2\/9  (b) 2\/11  (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and -709.\nAnswer: -70.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 146*f - 2415 = -1211 + 3760 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1756 - -1751. Which is the third biggest value?  (a) -0.3  (b) 174  (c) l  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -20*q**3 + 40*q**2 + 40*q - 53. Let m(a) = 7*a**3 - 14*a**2 - 14*a + 18. Calculate -17*m(d) - 6*n(d).\nAnswer: d**3 - 2*d**2 - 2*d + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) -444.4  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 - 4*i**2 + 2*i + 4. Let u(t) = t + 8. Let b be u(-13). Let k be h(b). Solve -5 = -5*q, -q = -2*n - 2*n + k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2226 is divided by 1111.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 3*q - 126 = 0. Suppose y - 1 = -3, 76 = 4*t + 4*y. Let x = -5 + t. What is the remainder when q is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-1*sqrt(1872) + sqrt(1872)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/9 - ((-2165)\/(-45) - (579 - 540))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*n**3 + 19*n + 1 - 2064*n**3 - 2.\nAnswer: -2108*n**3 + 19*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.16 and -1461.\nAnswer: -1461.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -247 + 132. Let h = -119 - u. Let d = 1.1 - 0.8. What is the fourth biggest value in h, -0.4, 1\/4, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 28 + 10 = 0. Solve 0 = 2*x - 2*i - 0*i + l, -i = 5*x + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -338 + 2292. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3066753761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 896b0 - 4?\nAnswer: 896ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:14 AM and 11:16 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5\/733 or 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21 + -20.8. Let b = 3493 + -3509. What is the second biggest value in -5, o, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -111*f**5 + 36*f**4 - 2*f**3 + 677*f**2 - 6*f wrt f.\nAnswer: -6660*f**2 + 864*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 408\/(-17)*(175\/(-15))\/(-7)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -2*g + 81. Suppose 0*b - 3*b + g = -3*d, -4*d = 3*b - 48. What is the remainder when 35 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-12)\/(-144)*(-1 + 2 + 2). Let s = -169\/2 + 86. What is the second biggest value in s, 1\/9, 9\/7, c?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -238 (base 10) in base 14?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18382?\nAnswer: 2, 7, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-73605)\/154220*22\/(-196)?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -33 - -35. Suppose 0 = 2*b + f*b - 16. Suppose 7 = g - 3*c, c + 48 = b*g - c. Solve -5*x - 7 = g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17129119 and 6738.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -16*s. Let h(q) = -17*q + 5. What is h(z(m))?\nAnswer: 272*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -5, 4\/5, 4\/9, -0.0259, -2\/9?\nAnswer: -0.0259","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -2, 14, -0.5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29027 = 356*t + 31875 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(475) + -5 + -1 + 5.\nAnswer: -1 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 27455a71 - 5?\nAnswer: 27455a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 232*p + 1438461 - 2720180 = 16595969. List the prime factors of p.\nAnswer: 263, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2148455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1033224050?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -196\/3 - -66. Let m = 0.267 + -0.067. Let i = 0.2 - m. What is the fourth biggest value in 4, a, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -935*b - 7. Let p(z) = -940*z - 8. Determine -6*p(s) + 7*u(s).\nAnswer: -905*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2904 by 6.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -14*12\/(-168)*-6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 66581*w - 10985860. What is j(165)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20.085912 months to years.\nAnswer: 1.673826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2320 - 2317. Sort c, -2\/35, -5 in decreasing order.\nAnswer: c, -2\/35, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 - 5)*(h**3 + 0*h**3 - 2*h**3).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*y**4 - y**2 - y**3 - y**4 - y**4 + 427 - 2*y - 259 + 0*y**3 to the form z*y**4 + l + p*y**2 + s*y**3 + a*y and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 109504639*g**2 - 94717522*g - 1?\nAnswer: 219009278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - (-34)\/38) + 2425\/5529. Let q = -21.8 + 22. Which is the closest to v?  (a) q  (b) 16  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25 + 66\/4)\/(3\/6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -21*p + 22. Give o(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 45288 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z. Let x(m) = 16*m. Give -44*r(p) + 2*x(p).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y. Let k be l(1). What are the prime factors of k\/(-2)*2*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g = -1939 + 371. What is the units digit of -2 + 2 - 7 - g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3cd (base 15) to base 10.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 105877?\nAnswer: 239, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add together -18579397111 and 0.5.\nAnswer: -18579397110.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23 - 6 + c + 8)*(424*c - 461*c + 191*c).\nAnswer: 154*c**2 + 3850*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wqq when three letters picked without replacement from {w: 2, q: 18}?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d**3 + 16*d**2 - 8*d - 33. Let q(z) = -z**3 + 8*z**2 - 3*z - 16. Let r(i) = 5*q(i) - 2*s(i). Give r(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 AM and 11:07 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 69 - 58. Solve 3*i + d = 4*g, 5*i = 3*g - 0 - 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(324)\/(sqrt(36)\/sqrt(4)))\/(1*sqrt(12)*2).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kqkytq. What is prob of sequence tq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 18, f: 1}.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*x**5\/7 - 44556*x**4\/7 + 22252*x**3\/7 + 133652*x**2\/7 + 22284*x\/7 - 44552\/7 = 0 for x.\nAnswer: -1, 1\/2, 2, 5569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -4*x**5\/5 + 68*x**4\/5 - 288*x**3\/5 - 304*x**2\/5 + 2816*x\/5 - 3072\/5 = 0?\nAnswer: -3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*x = -44*x + 2. Let d = 0 + x. Solve -2*g - d + 0 = -b, 3 = 4*g - b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-150)\/(-100)*38\/(-3) - 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 738 and 226566.\nAnswer: 226566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 350 (base 7) in base 14?\nAnswer: d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -700 = -3*j + 1094. Let v be j\/(-8) - 10\/40. What is the remainder when (v\/12)\/(1\/(-8)) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 752*z**2 + 44*z + 7. Let p(g) = -2255*g**2 - 147*g - 23. What is -3*p(y) - 10*v(y)?\nAnswer: -755*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 2*i = -18, 0 = -3*i - 6 - 12. Let l(f) = f**3 - f**2 + f. Let z(n) = 15*n**3 - 11*n**2 + 11*n. Let h = -36 + 58. Give h*l(a) + s*z(a).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*a**3*r*z + 3*a**3*z**2 - 31*a**3 - 3*a**2*r*z**2 - 12*a**2 + 2*r*z**2 wrt a.\nAnswer: 24*r*z + 18*z**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**2 + z + 15. Suppose 24*r - 27*r + 108 = 0. Calculate the remainder when b(0) is divided by r\/10 - 12\/(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 6 + -6 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 312862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 21 - ((-27)\/(-9) + -6). Let o be 3\/9 + (-8)\/(-3). Solve l - 5*q - i = 0, -o*l + 8*l + 10 = -q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 + 23*m - 151. Let i(q) = q**2 - 8*q - 14. Let h be i(-2). Let o be k(h). Calculate the highest common factor of o and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.25?  (a) 3  (b) 15  (c) 1.4419\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/468 and -15\/115336.\nAnswer: 1038024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17*n**3*q**4 - n**3 - n**2 - 40*n*q**4 - 502*n*q**2 - q wrt q?\nAnswer: -408*n**3*q - 960*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*z - 5*y - 10, -y = z + 5. Let j = 4 - z. Suppose 0 = -3*s + j*h + 59 - 0, 5*h = -2*s + 6. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4566, 3, 0, -4, 2 in decreasing order.\nAnswer: 4566, 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(132)*-2 - (3*sqrt(132)*1 - sqrt(132)))\/(-6*(sqrt(1452) + -3*sqrt(1452))*-6).\nAnswer: sqrt(11)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does -3\/1825 = 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -10*d + 17. Let c be g(-11). Suppose c*u - 131*u + 748 = 0. What are the prime factors of u?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3\/7  (b) 0.5  (c) 5  (d) -7  (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*m - 2*z = 8*m - 4143, 2 = -2*z. Let x = -5781\/7 - m. What is the common denominator of -9\/8 and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 0*t = 0. Suppose t*x - 3*x + 6 = 0. Let n(w) = 4*w**2 + w. Let a be n(1). Solve a = -x*j - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.2 - 0.3. Let r = -131 - -914\/7. Which is greater: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c - o + 12 = 12*c, 3*c = 3*o. Let m be (7*c)\/(-14 + 13). Let y = 27\/2 - 13. Sort -4, y, m, 4 in ascending order.\nAnswer: m, -4, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 - 67*o**2 - 4*o + 103. Let b(v) = -9*v**3 + 535*v**2 + 34*v - 835. Let a(p) = 6*b(p) + 50*g(p). Find w such that a(w) = 0.\nAnswer: -35, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -113\/129, -1, 1, 6, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3941974461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -6891205 - 7.7\nAnswer: -6891212.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 + 177?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1078702503*a**3*n + 761*a**2 + 89839*n wrt a.\nAnswer: 6472215018*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 + 20 = 86*b - 77*b. What is the fourth biggest value in b, 114, -2, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -22 - -11. Let v(i) = 3*i. Let m(o) = -110*o + 21*o - 2 + 3 + 37*o + 36*o. Give r*v(s) - 2*m(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103\/5*w**3 - 8\/5 - 22*w**2 - 52\/5*w - 44\/5*w**4 - 7\/5*w**5 = 0. Calculate w.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 57*j**5 + 453*j**4 - 195*j**3 - 1245*j**2 + 978*j - 48 = 0?\nAnswer: -8, -2, 1\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 118*n**2 - 353*n**2 - 514*n**2 + n - 44*n**2 to the form c*n + g + u*n**2 and give u.\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -143 - -154. Let j(m) = 4*m**3 - 21*m**2 - 6*m - 48. Is j(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 12*f**3 + 5*f**2 + f. Let i(b) = -6*b**3 - 2*b**2. Suppose -130 = -5*y + 70*y + 195. What is y*i(k) - 2*w(k)?\nAnswer: 6*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4210652?\nAnswer: 2, 1052663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17070 divided by 6.\nAnswer: -2845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2342875.58498451 + 2341913.58498. Let t = o + 962. What is t rounded to seven decimal places?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -7*s + 5. Let f(x) = -4*x + 2. Let n(g) = -5*f(g) + 2*t(g). Let r(z) be the third derivative of z**5\/30 + 40*z**2. What is r(n(a))?\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - ((19 - -2) + 6 + -3 + -15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*t = 44*t - 97*t + 40. Suppose -9 + 25 = 4*c. Solve -8 = -2*o - t*z, 4*z = -5*o - c + 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(-13\/3)*b)\/(b**(-1)*b))\/(b**20*b*b\/(b*(b\/(b**(4\/3)*b))\/b*b)))**(-5\/9) assuming b is positive.\nAnswer: b**(385\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m**7*m)\/m)\/(((((m\/(m\/(m**(9\/7)*m)))\/m)\/m)\/m)\/m))**(2\/65)*(((m**(2\/9)\/m)\/m)\/(m\/(m*m**(-5)*m*m*m*m)))**(-9) assuming m is positive.\nAnswer: m**(11511\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 547193.9cm?\nAnswer: 5471.939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1695848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 305 divide 1140090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16709 is divided by 486?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1678829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 97769, 391146, 880109, 1564652, 2444769?\nAnswer: 3520454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 212367 - 212419 = 52*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let c = 25 - 3. Suppose -4*s + 6*s = 12. What is the remainder when c is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f. Let i be t(-4). Suppose 16 = -i*p - 0, m - 58 = 5*p. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 4*v - 2, -4*v + 4*t = -6*v - 2. Let g(f) = -3*f. Let k(y) = y - 1. Give v*g(a) + 2*k(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yynz when four letters picked without replacement from {t: 2, p: 1, y: 9, z: 5, n: 1}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 133, 135, 131, 115, 81, 23, -65, -189?\n\"Answer: -g**3 + 3*g**2 + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -y**2 + y**2 - 1 - 1 - 2*y**2 in the form j*y**2 + f + h*y and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6)\/(-8))\/((-1)\/8). Calculate the common denominator of 1\/((-2 + 0)\/(-10)) and s\/11 - 4\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r = 17*r - 3165. List the prime factors of r.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 1, 0.1, 18, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 4*h + 34 = 0. Suppose 0 = 5*l - 5*u - 2590, 5*l + 2*u - 2560 = u. Suppose -l + 108 = -3*o. Calculate the remainder when o is divided by h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -2*j**4 + j**3 - j**2 - j + 1. Let x(q) = 9*q**4 - 75*q**3 + 60*q**2 - 3*q + 3. Let m(b) = -3*n(b) + x(b). Suppose m(i) = 0. Calculate i.\nAnswer: 0, 1, 21\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -2653*m**2 - m - 6. Let h be d(21). Round h to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-4))\/((-6)\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 319010 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) + sqrt(243) + 3)*-6 + sqrt(33)\/(sqrt(22)\/sqrt(2)) + (sqrt(6)\/sqrt(2) + sqrt(3))*-1)**2.\nAnswer: 2196*sqrt(3) + 11487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-43)\/((-5 - (-14)\/3)\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 408671 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxjxlljxxjll. What is prob of sequence xj?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5988257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + 6. Let w be l(3). Let s = -30 + w. Suppose -s*c + 4*q - 11998781 = 6001235, 2*c - q = -12000004. Round c to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1399811*y**3 - 12943804*y wrt y.\nAnswer: -8398866*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 2 = 5*c. Suppose 0 = -p - c*z + 3, -z + 6*z = -2*p + 8. Sort p, -2, -5.\nAnswer: -5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*s - 30*s = -36. Is 12592\/6 + 2\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 7*k. Suppose 88*i - 184 + 8 = 0. Let s(v) be the first derivative of 7 + 0*v**i + 0*v - 1\/3*v**3. Determine s(w(r)).\nAnswer: -49*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -28387468, -56774937, -85162406, -113549875, -141937344, -170324813?\n\"Answer: -28387469*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w + 3*w - 4*w)*(3*w**3 - w**3 + w**3 + (0*w + 3*w**2 + 0*w)*(w + 3 - 3)) + 4 - 4 + 2*w**4.\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 10:39 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - c + 14. Let x = c + 17. Solve x*o + 0*o - 3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001001000011101 - 100001100?\nAnswer: 10001000100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(5 + (sqrt(208) + 0 - sqrt(208) - sqrt(208)) + -5*(sqrt(208) + 2))**2.\nAnswer: 1440*sqrt(13) + 45078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 400987 - -161513. Let f be (u\/15)\/(3*2\/6768). What is f rounded to the nearest 1000000?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3823, 3824, 3825?\n\"Answer: i + 3822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 183 = 8*p - 89. Let b = -36 + p. Is b greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2*((-23)\/(-2) - -3). Let u = 33 + k. Suppose 0 = u*z + z - 20. Calculate the highest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -51 - (-27 - -17) - (7 - -53).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 39224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and 0.048?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 AM and 12:06 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(5\/4)*a*(a*a\/(a*a**6*a))\/a assuming a is positive.\nAnswer: a**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:20 AM and 2:33 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -53, -109, -175, -257, -361, -493?\n\"Answer: -l**3 + l**2 - 52*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -3*v - 17 + 1, 0 = -4*v + 4*t - 8. Suppose -4*k - v = 21. Let o(z) = 1. Let c(n) = 7 + 1 + 2*n + 0*n. Calculate k*o(g) + c(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 17949040985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48 + 0 + 2*k + 11 + 13.\nAnswer: 2*k - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = 3*z - 11, -4*b + 2*z = -1329 + 1315 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1b87 - d?\nAnswer: 1b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, a: 12}. What is prob of picking 1 a and 2 v?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g**5 + 194*g**4 + 402*g**3 - 594*g**2 = 0. What is g?\nAnswer: -3, 0, 1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 297*j - 284*j + 2652. Is -405\/2 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-244) - -8) + -12 + 58\/1769.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-114)\/456 + 42\/8. Solve s*o + 2*k = -1, -6*k + k = -5*o + 20 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*o**2*v**4 + 1785*o**2*v**2 + 2*o**2*v - 89154*o**2 wrt v.\nAnswer: 132*o**2*v**2 + 3570*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tvrrz. What is prob of picking 1 z, 1 v, and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/7*((-2)\/(-30))\/((-3592)\/(-8082)).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/12*7\/(42\/(-12)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/4 - 1*(-1971)\/12. Suppose 4*h + 56 = 2*u - 48, 0 = 3*u - 2*h - t. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 0*q - 3*q + 9 - 14*q**2 + 40 - 47. Let j(o) = 14*o**2 + 4*o - 2. Determine -4*g(f) - 3*j(f).\nAnswer: 14*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8040\/(-804))\/(7*(-12)\/(-546)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -i - 7, i + 152 - 150 = t. Let v(b) = -15*b + 78. Determine v(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 841446079?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + f**3 + 2)*(-5 - 2*f + 5) + f**4 + 8*f**4 - 3*f**4 - 4*f**4 - f**4 + 7*f**4.\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 228523672 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -62*x + 313. Let b be z(5). Solve -5*r - 2*f + 15 = -b*f, 5*r - 2*f = 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*-99351\nAnswer: 496755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/(-2)*0)\/(-1). Find the common denominator of (-2)\/8 + 238\/72 and (-348)\/8 + o + -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gwwwwgwwwgwwww. Give prob of picking 3 w.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 3*v**2 + 1520274*v - 21284424 = 0.\nAnswer: -506772, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 36443, 288772, 973651, 2307350, 4506139, 7786288, 12364067?\n\"Answer: 36045*m**3 + 5*m**2 - m + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**3 + 13*a**2 - 17895*a - 161389. Calculate y(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 270 a factor of 5133081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 712030.9 minutes in microseconds?\nAnswer: 42721854000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5 - (-115)\/15)*15\/4. Let p(f) = -f**3 + 11*f**2 - 12*f - 4. Give p(w).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9362 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -11*c - 2. Let w be h(-6). Let v(s) = s - 14. Let x be v(8). List the prime factors of ((-9)\/x)\/(6\/w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**8)**(-4)*((y*y*y\/(y**(2\/9)*y)*y*y)\/y)\/(y\/(y*y*(y*y**(-4\/5))\/y*y)) assuming y is positive.\nAnswer: y**(1439\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u - 13 = -61. Calculate the smallest common multiple of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**2 - 13*u - 10. Let p be s(-12). Suppose -5*c + p = 5*b - 18, 0 = 4*c - 4. What is the highest common divisor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z**3 + 358*z**2 - 6521*z + 2134 = 0. Calculate z.\nAnswer: 1\/3, 22, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 + -1)*(41 + -42).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 30 + -32.3. Let q be 3 - ((-271208)\/(-43452))\/2. Let i = -2\/639 - q. What is the second biggest value in s, i, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*s**3 - 1292*s**2 - 3912*s = 0. What is s?\nAnswer: -3, 0, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8302728499 to the power of 1\/2, to the nearest integer?\nAnswer: 91119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -60 + 98. Let r = n - 37.7. Let c = 0 + -0.3. What is the biggest value in c, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 - -28. Calculate the highest common factor of 119 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 - (-14 + -8 - -58).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**1\/a)\/a*a)**(-34\/7)*a**(-2)\/a*a\/a**(-7)*(a**5*a**(-2\/19)\/a)**11 assuming a is positive.\nAnswer: a**(909\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1032 - -422320023?\nAnswer: 422321110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 minus 7.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 0, 11*n = -0*n + 7*n + 5*d - 4. Which is the nearest to n?  (a) -5  (b) -26  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 140 = 4*a, 0 = 3*a + 3*r - 67 - 20. What is the highest common factor of a and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15511696 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1007 + -2839. Let w = f + 2952. Is w a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - 66. Let l = q - -106. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 + 18*n**2 + 16*n + 59. Let c be a(19). Differentiate 30 - 21 - 2*p**3 + 36*p**c + 50 + p**3 wrt p.\nAnswer: -3*p**2 + 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 304342, 305991, 307640?\n\"Answer: 1649*u + 302693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3925 - -8254. Is r a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:11 PM and 2:26 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-44)\/(-165))\/((-16)\/(-36)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 800755?\nAnswer: 5, 19, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 191754 is divided by 602.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3138196*i**2\/5 + 9414612*i\/5 + 72\/5 = 0. Calculate i.\nAnswer: -3, -6\/784549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.3  (b) -1\/2  (c) -0.04  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * 107.\nAnswer: 10.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -640 + 496 = -48*u. Let j(r) = r**3 - 5*r**2 - r + 6. Let i be j(5). Solve f - i + u = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -18.061 + -3.067.\nAnswer: -21.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 994041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -54 + j**2 + 34 + 4*j**2 - 2*j + 27 to z*j**2 + a*j + l and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - 1)*1*3. Let y(x) = -2*x - 3. Let j be y(v). Let i = 246 - 491\/2. Put i, -1, j in descending order.\nAnswer: j, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 - 37 + 21 - 4*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1, -2, 3, -2235, 5, 10 in increasing order.\nAnswer: -2235, -4, -2, -1, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 35 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -3*v + 10. Let t be (-1 + v)*(-85)\/(-34). Suppose 4*z = 2*r + 118, -t*z - 84 = -3*r - 234. What is the remainder when z is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2 - 4*y - 2. Let l be h(-3). Let v be -1 + 1 + l\/(-4). Let g = -2 - -2.1. Which is bigger: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*t*z**5 + 3*t*z**2 - t + z**6 + z**3 + 54*z**2 wrt z.\nAnswer: 420*t*z**2 + 120*z**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -2*i**2 + 5*i - 5. Determine r(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -563, -1918, -4193, -7394, -11527?\nAnswer: -16598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4041548 to the power of 1\/2, to the nearest integer?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.04  (b) 3  (c) -0.08  (d) 6516  (e) -4\/5  (f) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1814.4 + -1811.4. Sort 0.3, h, 2.562.\nAnswer: 0.3, 2.562, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 7:14 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -176 by -16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 9. Let k = -2103 + 2108. Sort k, n, 2 in descending order.\nAnswer: n, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 413767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -143561, -0.4, -1\/9, -0.07?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(500)*-1 - (1 + sqrt(605) - sqrt(605))) + (-1*sqrt(25)\/(sqrt(5) - sqrt(5)*2) + -1)**2.\nAnswer: -12*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1034*m**3 + m**2 - m - 1072.\nAnswer: -3102*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 2*n**4 + 128*n**3 + 2206*n**2 + 5752*n + 3672 = 0.\nAnswer: -34, -27, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*a**2 + 95*a**2 - 51*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 968.139 + -968.2. Sort 5, -0.15, v.\nAnswer: -0.15, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/((-336)\/6)*(-96)\/16*-11?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 18*(15\/(-9) - -3). Let p = 26 - 18. What is the greatest common divisor of i and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + -4 + 5 + 8 + -4 + -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -158393*a**3 - 11*a**2 - 10*a + 13. Is l(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18656544 divided by 3\nAnswer: -6218848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4 + 108\/30 + 107\/5. Let t = 48 + -27. Calculate the highest common divisor of u and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 994782623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k**3 + 2*k**3 + k**3 + (-5*k + 11 - 11)*(-4*k**2 + 4*k**2 - 2*k**2) - 19*k**3 + 26 + 20*k**3 - 6 to the form g*k + n + f*k**3 + i*k**2 and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -b + 2*y, -2*b + 3*b + 3*y - 5 = 0. Let s be -1 + 12*1\/2. Suppose s*z = -r + 20, 5*z - 4 = -4*r + 31. Solve -10 = 4*u - r*i, u - 4*i - b = i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 51130 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4328544 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 751 + 361 = k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2*f + 4. Let o(t) = -4*t - 9. Let p(b) = 4*o(b) + 9*w(b). Let l(s) be the second derivative of s**3\/6 + s. What is l(p(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {u: 13, d: 3, w: 1}.\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46051 is divided by 186.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 3 = -n. Let l(g) = g**2 - g - 1. Let o be (33\/4)\/(9\/36). Let u be (-6)\/21 - o\/7. Let a(j) = -7*j**2 + 6*j + 6. Give n*a(z) + u*l(z).\nAnswer: 2*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/280 and 18\/31115.\nAnswer: 248920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -o + 4. Let u = -3 + 0. Let n(q) = q**2 + q - 1. Let p be n(u). Calculate the highest common factor of o and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {k: 7, v: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 141440 + -222?\nAnswer: 141213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22223*p - 22223*p - 2368*p**3.\nAnswer: -2368*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - 39. Let l = q - 174. Round l to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 + 10*d + 18. Let u be p(-2). Let r be -1 + u\/5 + (-1194749919)\/(-405). Round r to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of -s**6\/90 + 5*s**3\/2 - 2*s + 8. Let n(u) be the second derivative of j(u). Let x(g) = -31*g**2. Give x(n(d)).\nAnswer: -496*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o**2 + 3*o. Let j be d(-2). Suppose 5 = -5*g - 3*h, -3 = j*g + h - 2. Calculate the smallest common multiple of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*b - 5*s - 48, 0 = 5*b - 12*s + 33 + 87 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of -2\/3*w**3 - 9 + 0*w**2 + 3*w. What is the derivative of f(u) wrt u?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - f = -287, 3*f + 275 = -5*i + 7*i. Let r = -47 + i. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*n**3 + 179 + 4*n**3 - 97 - 82 + n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -107 - 0.0816451152.\nAnswer: -107.0816451152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*k + a = 9*k + 5, -16 = -5*k + a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -80*i + 18*i + 43400. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of d**5\/20 - 7*d**4\/12 + 3*d**2 + 5*d. Let f be m(7). Let 1 + 1 - 5 - 5*b**2 - f*b + 2*b**2 = 0. Calculate b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in -2, 73, 3\/2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, 0.07, 1, -0.2, -1, -4 in increasing order.\nAnswer: -4, -1, -2\/7, -0.2, 0.07, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 + 9*n**2 - 7. Suppose -171*c - 5940 = -159*c. Let w = 486 + c. Determine i(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.174 + 1.17032. What is t rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0*(-2 + -2)\/(-8). Suppose -6*v + 10828 - 2188 = d. Suppose 2*l = -2*l - 20, -v = -4*r - 4*l. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1764\/8379)\/((-94)\/(-19))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*t - t - 35. Let g(c) = -3*c + 4. What is the remainder when g(-3) is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 838, 3037, 5236, 7435?\n\"Answer: 2199*n - 1361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as -2\/1383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4*(-3)\/6)\/10. Let g = 80 + -86. Let y = 6.5 + g. What is the second smallest value in -4, -3\/2, y, d?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12259*y**3 - 269*y - 42283186 with respect to y.\nAnswer: 36777*y**2 - 269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 65, -3\/2, 3, 0.07 in decreasing order.\nAnswer: 65, 3, 0.07, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -4.753 times 8\nAnswer: -38.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 48 + -44. Which is the fourth smallest value?  (a) -0.4  (b) -2\/17  (c) s  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqi. Give prob of sequence iqq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 566614 is divided by 806?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1352914767 by 3.\nAnswer: -450971589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -49003885 and -11006?\nAnswer: 48992879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 289*n - 790*n - 54 - 349*n wrt n.\nAnswer: -850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -0.4, -2, 20?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 4*h**3 + 11*h**2 - 3*h. Let v be p(-3). Suppose -9*m + 178859 - 13556 = v. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -3*a - 15. What are the prime factors of z(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 + -7. Let a = 2 - r. Let w be 3*(-1)\/((-2)\/2). Is a <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 15*u**4 + 6*u**3 - 6*u**2 + 3*u + 244. Let c(g) = -13*g**4 - 5*g**3 + 5*g**2 - 3*g - 248. Let k(h) = -6*c(h) - 5*q(h). Differentiate k(i) wrt i.\nAnswer: 12*i**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of v**4\/6 + 14*v**3\/3 - 5*v**2 - 32*v. Let n be o(-15). Suppose -d = n - 60. Calculate the highest common factor of d and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*z - 3*z**2 + 2*z)*(-2*z**2 + z**2 + 0*z**2) + 99*z + z**3 + 93945 - 93945 + z**4 as x*z**3 + a*z + q*z**4 + h + l*z**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 357 divide 10134159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5504147 (base 8) to base 7.\nAnswer: -15360165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l**3 + 8*l**2 - 26*l - 106. Give o(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 2*b + 36 = 0. Let r be 2\/3*b\/8. Solve 1\/2*l + 3\/2*l**2 + r*l**3 + 1\/2*l**4 + 0 = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -300 - t**2 - 100 - 105 to o*t**2 + u*t + s and give s.\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -392, -1577, -3552, -6317, -9872, -14217?\n\"Answer: -395*u**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-31)\/(q**(-24)*q*q) assuming q is positive.\nAnswer: q**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36\/(-20)*(-2)\/6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3333 or 3331?\nAnswer: 3333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2 - 51606*r - 1187308. Determine i(-23).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2*a**2 + 1. Let v be q(-4). Suppose -3*k + 4*f = -424, f - v = -2*k + 268. Suppose -3*n = -7*n + k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 2*l**2 + l - 2. Let r be t(2). Let p = r + -6. Suppose -p*q + 67 = 27. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -154 - -156. Let q = -1641\/5 - -328. Sort -0.01, -3, o, q in decreasing order.\nAnswer: o, -0.01, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-26)\/(-6) + 4\/6. What is the third derivative of 14 - 4*x**3 - f*x**2 - 14 wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -5*j**2 - 75*j + 2. Let r(l) = 7*l**2 + 74*l - 3. Determine -2*r(p) - 3*w(p).\nAnswer: p**2 + 77*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*(c*c**25)\/c)\/c)\/c*c**(7\/5) assuming c is positive.\nAnswer: c**(127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22691*q + 7*q**2 - 7*q**2 + 45367*q - 22676*q + 7*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -277 + 490. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the second derivative of l**4\/6 - 2797*l. Let c(i) = 24*i - 3. Let a(f) = 24*f - 2. Let u(s) = 3*a(s) - 2*c(s). Determine u(w(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14\/107 + -1693\/963. Calculate the common denominator of u and (-20)\/(-9) + 24\/(-36).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -207*f - 17*f + 33*f + 1146 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 287*z = 283*z + 4, -2*r + 25 = r + 25*z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-40)\/(-15))\/((-4)\/(-6)). Solve 0*b - g*b - 12 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -101033422330 + 32?\nAnswer: -101033422243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of -g**3\/3 + g**2\/2 + 4*g + 3. Let s be c(0). Let k(i) = -i**2 + 4*i + 1. What is k(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 3*f + 527 + 1414, 0 = -4*f - 2*b - 2578. Let u = f - -901. Is u\/(-28)*(0 - 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) -0.1  (c) 6\/53  (d) 0.5  (e) -69.2  (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Factor 14*w**3 - 3*w**4 - 56*w - 3*w**2 + 25*w**4 - 21*w**4 + 0*w**2 - w**2.\nAnswer: w*(w - 2)*(w + 2)*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - -4 - -4 - 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d + 2 + 7 + 5*d + 1 - 7. Let f(w) = 5*w + 2. Calculate -4*f(q) + 3*s(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -36*x + 8*x - 2 + 0 + 12*x + 4*x**2 to the form k + s*x + b*x**2 and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2*w)*(-2 + 5 - 2) + (4 - 3 + 0)*(-1040*w + 2923*w - 933*w) - 3 - w + 3.\nAnswer: 951*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(-7) - ((-8)\/(-7))\/2. What is the biggest value in c, 4, -4\/9, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y - 0*y - 2*g - 9, -4*y = -5*g + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -8*a - 7. Is p(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 1 - 3 = 0. Let y be 4\/((-6)\/3) - -6. Suppose 0 = 5*v, y*n = -n - v + 30. Calculate the least common multiple of b and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + s + 36. Let i(b) = -s + 9 - b. Let f(m) be the third derivative of -m**5\/15 + 22*m**2. Calculate f(i(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000004688 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -41*p - 43*p + 125*p - 31*p + 134. Let d be h(-11). Solve 0 = 3*s + 5*c - 3, 4*s - s - 4*c + d = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -88*r**2 - 5 - 2*r - 17 + 51 - 20 - 17 in the form t*r + z + x*r**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 288 and 2976?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 219407 is divided by 1895.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*c + 89 = 209. Solve c*j = -3*j - 33 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 q when three letters picked without replacement from qbqbqbqqqqbqbqqqbqq?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 2*m = 5, 81 = -35*h + 2*m - 22 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.483426 weeks in minutes?\nAnswer: 95592.93408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - h - 47 = 4*h, -5*n = 2*h + 189. Let r = 43 + n. What is the greatest common divisor of r and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 5548 + 6372. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 15*h**5\/7 - 1258*h**4\/7 - 53763*h**3\/7 - 72678*h**2 - 516160*h\/7 - 59904\/7 = 0.\nAnswer: -16, -1, -2\/15, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (-12 - (6 - 6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 17 - 2)*(0*a**3 + 0*a**3 + 3*a**4)*(78*a + 8*a + 6*a).\nAnswer: -6900*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*p**3 - 45*p**3 + 180*p**3 - 38*p**3 - 70*p**2 - 45*p**3 - p**2.\nAnswer: 3*p**3 - 71*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20975 is divided by 78.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2416 - 36268\/15. Find the common denominator of s and 328\/(-18)*(-15)\/(-80).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -8034*l + 257038. Calculate r(32).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 68985.74kg?\nAnswer: 68985740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(9) - sqrt(729)) + sqrt(9))*4)\/(sqrt(3) - (sqrt(3) - sqrt(147))*2) + 0.\nAnswer: -28*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of 3*m**2\/2 - m + 9. Let r(d) = 16*d - 6. Give 2*r(f) - 11*u(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2111576, -8446303, -19004190, -33785243, -52789468, -76016871, -103467458?\nAnswer: -135141235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(1\/24)\/n)\/(n**(-1\/13)\/n)*(n**(-5)\/n)**(1\/35) assuming n is positive.\nAnswer: n**(-577\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -56171899 to the nearest ten thousand.\nAnswer: -56170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 8064120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*q + 3*o = -47*q + 46517, 3*q - 27903 = -3*o. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-12)\/20 + (-14)\/10. Let p be -4*(-2 + 3)*q. Let s be (-242)\/(-4) + p\/(-16). What is the highest common factor of s and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 8, w: 2}. What is prob of sequence www?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, 24, 78, 184, 360, 624, 994, 1488?\nAnswer: 2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 45\/18 - (-3)\/(-2). Sort i, 4, -2, -5.\nAnswer: -5, -2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2*h. Let w be (8\/(-10))\/(2\/(-5)). Let p(z) = 0*z**2 - 9*z**w + 8*z**2. Give p(g(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l\/(l**4*l))*l*l*(l\/(l\/(l*l**0*l)*l))\/l)**(-6\/25) assuming l is positive.\nAnswer: l**(-36\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 3980 + j**2 - 4*j - 3980 - 25*j**3 + 0*j**2 in the form s*j**3 + i*j + b*j**2 + t and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -25 + 29. Suppose i = -2*a - i + c, -3*a + 2*i = 4. Solve a = 4*r + m + 3*m, -12 = -r + 3*m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/16 - 238\/(-8). What is the highest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8276854, -16553696, -24830538, -33107380, -41384222?\nAnswer: -49661064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 50.2 - 51. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-1752)\/511)\/(5\/7))\/(3\/(-10))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 218021687 is divided by 3214?\nAnswer: 3211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) -1  (b) -2\/3  (c) -2\/9  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 28.036 + -0.036. Let m = 30 - i. Let y = -53 - -51. Which is the biggest value?  (a) 3  (b) y  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*6*((sqrt(396) + -4*(sqrt(396) + sqrt(396) + 3 - sqrt(396)) + sqrt(396))**2 + (-5*(sqrt(396) + 3*sqrt(396) - sqrt(396)))**2)*1.\nAnswer: 1728*sqrt(11) + 544968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of -1\/48*r**4 + 42*r**2 + 0*r + 0 + 1\/18*r**3 + 1\/360*r**5. Factor z(c).\nAnswer: (c - 2)*(c - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/7*32\/144?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeeemeemeeeeeeeeeme. What is prob of picking 2 e and 2 m?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrm. What is prob of sequence rm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - -1) + 5 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -10 from -5055.9.\nAnswer: -5045.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1910841477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r and 1 u when four letters picked without replacement from {h: 2, r: 3, u: 12}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of -194*k**7\/21 - 193*k**4\/4 - 581*k. Find the third derivative of i(y) wrt y.\nAnswer: -23280*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + -2. What is the nearest to 0 in -4, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7035 = -101*v + 86*v. Let p = v + 485. Solve 4 = 4*t + p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/2*4\/6. Let h = -7 - -5. Let n be 14\/4*-1 - h. Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = 4*k + 32, 5*i + 5*k + 29 = 4*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12419 and 68.\nAnswer: 844492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*n = 10*n - 91*n + 982192. What is the highest common factor of 34 and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 40\/(-3)*18\/(-15). Let o be 1\/4 - (-966)\/552. What are the prime factors of 974\/8 + o + (-44)\/h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -962, -964, -968, -974, -982, -992, -1004?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and -1090.7?\nAnswer: -3272.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (166\/(-18) - (-4)\/18).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*z - 156 = 15*z + 15*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -5*b + 6*b - 3 + 1 - 5*b. Let d be ((-6)\/4)\/((-3)\/4). Suppose 4*u = -d*m - 4, -3*m - m = -4*u - 16. Calculate t(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 42660 and 246480.\nAnswer: 2218320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 143.6849km?\nAnswer: 143684900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13455023 + 22100?\nAnswer: 13521123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 3*i**2 + 6*i - 5. Let y be l(-4). Let x = y + -22. Let v(p) = -p**3 - 4*p**2 - 4*p. Let f be v(x). Solve f*d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 96 divide 51325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 66447, 132774, 199101?\nAnswer: 265428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2*s**2 - s - 2. Let l be d(2). Suppose -3*q - 43 = -28. Let x = -3 - q. Solve x*t + 18 = -4*j, t + 5 = -l*j - 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 58 + -63 - (-1 + -4 + 4 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*o - 28*o - 43*o)*(-6 + 1 + 2 + 2).\nAnswer: 65*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2 - 39*f + 140.\nAnswer: (f - 35)*(f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2*c**2 - 55*c - 23. Let w be y(-27). Suppose -17 = -a - 0. Suppose -4*x - a = 3*t, -t - 3 + 9 = -x. Solve -f = -t + w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v**(2\/19)\/v*v*v**(-4\/13)\/v*(v\/v**(7\/4)*v*v)\/v*v**(-9) assuming v is positive.\nAnswer: v**(-8845\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.894282373 times -1?\nAnswer: 0.894282373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/22 and 59\/2222044?\nAnswer: 2222044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:47 PM and 3:26 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 PM and 9:20 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j - 1. Let o be u(0). Suppose -2*h = 3 + 1. Let m = h - o. Which is smaller: 3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 - 201*g - 17805. Determine y(-67).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**5 + 3136*c**4 + 3138*c**3.\nAnswer: -2*c**3*(c - 1569)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5110981668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 21.951 + 0.049. Let t = -37.5 + m. Round t to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v**2 + 39*v - 7. Let i(q) = q**3 + 5*q**2 - 7*q + 10. Let n be i(-6). Is 13 a factor of p(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 11*s - 394. Let k be a(38). Suppose 0 = -3*j - y + 91, 0 = j - 2*y + y - 29. Calculate the highest common factor of k and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 305031552.\nAnswer: 2, 3, 7, 37, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12375663389.916 + 0.064.\nAnswer: 12375663389.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**8)\/s*s*(s*s**(-4)*s)\/s)**13*s**(2\/9)\/(s*s\/(s**(-2\/11)*s)*s*s*s)*s*s*s\/s**4*s*s*s**(1\/4) assuming s is positive.\nAnswer: s**(-52553\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**3\/3 + 40834*f**2 - 612479*f\/3 - 244994 = 0. What is f?\nAnswer: -1, 6, 122497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 0.1, 17, -5\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4a8 (base 11) to base 5.\nAnswer: -4402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1392903205?\nAnswer: 5, 19, 29, 71, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**3 + 4*p**2 + 3. Let s be a(4). Suppose 2*q = 48 - 44. What is the third derivative of g**2 + 8*g**2 - s*g**2 + q*g**6 + 0*g**2 wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47286?\nAnswer: 2, 3, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1284, 2740, 4198, 5658, 7120, 8584, 10050?\n\"Answer: m**2 + 1453*m - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 75*x = 71*x - 12, -5*q + 14 = 5*x + 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12 - -7. Let b be ((-2)\/28)\/(10\/20). What is the closest to 1\/2 in b, k, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -440 divided by 20.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.85 + 2.95. Put 0.192, -2, -0.5, p in descending order.\nAnswer: 0.192, p, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2492776 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-18)\/(-27)*6\/(-4). Let n be 1\/(-3)*0\/t. Let b(o) = -o**2 + 9. What is b(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o and 1 a when four letters picked without replacement from taakaoakattaaatt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 137537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 + 5*v - 2. Let f(p) = -3*p - 8. Let q be f(-4). Suppose 0 = -q*h, -3*k - 2*h - 15 = -0*h. Calculate b(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 - 1)*(-2*d**4 + 3*d**4 - 3*d**4)*(5530 - 5530 - 163*d)*(0 - 1 - 2).\nAnswer: -978*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.10821 and -3997.\nAnswer: 432.51537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.79484 + -538.97084. Let s = -537 - t. What is s rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-28) + (-111)\/189\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2222 (base 4) to base 2\nAnswer: 10101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 201*c**2 - 98*c - 379. Is q(-52) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -ab4 (base 14) to base 8.\nAnswer: -4106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (d - 6*d + 4*d)*(1 + d - 1) + (3*d + 4 - 4)*(-1 + 1 + d) + 3 + 6*d**2 - 3 to y*d + h + g*d**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2258512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + 1. Let l = -0.1 - 0.2. Let w = 12\/83 + 10\/1079. Which is the closest to 0.2?  (a) d  (b) l  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2363 - 0.3.\nAnswer: 2362.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 2  (b) -5  (c) 1449\/8  (d) -2\/5  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 49*u**3 - 224*u**2 + 116*u - 16.\nAnswer: (u - 4)*(7*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes before 9:21 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/84 and -15\/90692?\nAnswer: 272076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 + 0 + (2 - 0). Suppose q*m - 3*o = 4065, -4*m + 1410 = 4*o - 1810. Round m to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11607564.\nAnswer: 2, 3, 967297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56623 = -5*h - 4*y + 59768, 2*y = 4*h - 93118. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11.7 - 13. Let s = t + 1.2. Which is smaller: 5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -97*d**2. Let k(t) = -3118*t**2 + 189. Calculate k(o(c)).\nAnswer: -29337262*c**4 + 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of -2*j**6\/105 - j**5\/35 + 16*j**4\/21 - 40*j**3\/21 + 5*j - 23. Factor a(x).\nAnswer: -4*x*(x - 2)**2*(x + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 28 + -32. Let n be (-4)\/((2\/133)\/(-1)). Let z be n\/6 - y\/6. Solve -4*g - 16 = 0, 0*g = -5*x - 5*g - z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 4*y**2 - 62*y - 304. Determine u(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + -5. Let h = 5 - 5.03. What is the nearest to -1 in 2\/3, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (13 - 11 + 18)*(4 - 4 - 2*m)*(-2*m + 0*m + m)*(46*m + 27*m - 22*m) as l + r*m + z*m**2 + d*m**3 and give d.\nAnswer: 2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*c + 55*c + 231*c**3 + 121*c**3.\nAnswer: 352*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + (-633)\/(-645))*-25*90\/900?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as 0.0363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k - 2 + 2)*((0*k - k + 6*k)*(1 - 1 + 2*k) - 4*k + 4*k - 2*k**2 + 2*k**2 + 4*k**2 - 4*k**2).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(22)\/(1*sqrt(98)).\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4034 - -33?\nAnswer: -4001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-21)\/(-45)*33 - (-2)\/(-5). Let d = 11 - k. Let h be ((-3)\/d)\/((-3)\/(-12)). Let t(f) = 1. Let j(q) = q + 1. Determine h*j(u) - t(u).\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ihi when three letters picked without replacement from {s: 4, i: 2, c: 2, r: 1, h: 5}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/491526 and -47\/312246.\nAnswer: 102728934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3*(2 + 15\/(-9)). Suppose -6 + s = -k. Suppose d + 1 = 2*j - 0*j, -3*j - 2*d + k = 0. Solve 3*n = -15, 4*n + j + 39 = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s**11\/s*s*s**(-5)*s*s\/(s\/(s\/s**(3\/7)))*s\/(s*s\/(s*s**(2\/3)*s)) assuming s is positive.\nAnswer: s**(215\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -74.2*-71139.\nAnswer: 5278513.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (31 - 9 - 15)*(-3 + u + 3)*(u + 0 + 0)*(0*u**2 - 3*u**2 + 2*u**2) in the form p*u**4 + t*u**2 + d*u + l + a*u**3 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 + 2. Suppose 4*h - 3*r - 4 - c = 0, -r = 3*h. Suppose -3 = -d + h. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**2 - 9*q + 2. Let g be y(-9). Suppose 7*w - 40 = g*w. Are 9 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.34 - -0.04. Let p = -26 - -28. What is the closest to 1 in p, n, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 164750 and 89750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90*u - 9*u + 176022 = 0. Which is greater: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7463605 is divided by 1205?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 9890120, 9890113, 9890106, 9890099?\n\"Answer: -7*p + 9890127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, -5, 0.1, 1004?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ajas when four letters picked without replacement from {i: 2, j: 1, a: 3, s: 10, f: 3}.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 1314*k + 935*k - 403*k + 1 - 3. Let g(o) = -2*o**2. Determine g(c(j)).\nAnswer: -6815432*j**2 + 14768*j - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of g**6\/42 - 4*g**5\/35 + g**4\/7 + 9. Factor m(w).\nAnswer: w**3*(w - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 - 16. Suppose 4*n - t = 2*n. Suppose 3*f + 4*o + 3 = 7, 0 = 5*f - n*o + 2. Let x(u) = -u + 13. Calculate x(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 less than or equal to -113\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from xxgvggxggx.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -53 + 60 + (-26 + 4 - 1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -af31 (base 16) in base 10?\nAnswer: -44849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-33*q + 10*q + 121 - 59)*(4*q - q + 1 - q)*(-2*q**3 + 2*q**3 + 2*q**3).\nAnswer: -92*q**5 + 202*q**4 + 124*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 6:48 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the third derivative of f**7\/420 - f**6\/20 + 9*f**5\/20 - 9*f**4\/4 + 27*f**3\/4 - 2*f**2. Solve m(t) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 + -422153?\nAnswer: -422152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + (-8 + 5 - -25).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/14 and -47\/2841428.\nAnswer: 19889996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3*((-7)\/3 - -3). Suppose -l*b + 12 = -3*b. Let w = b + 20. Calculate the lowest common multiple of w and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((63\/(-14))\/(34\/(-34)))\/(-3*15\/(-18)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r**3 + 14*r + 42. Give g(-3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v - 3*v - 3*v)*(3 + 0 - 5 + (0 + 1 + 0)*(0 + 1 - 2)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (18\/(-8 - -11))\/3. Solve v*g = -2*y - 0*y + 2, 3*g + 4*y = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (606\/156 + -4)*4\/(-3). Which is the closest to -0.2?  (a) f  (b) -2  (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -64, 0.2, -2\/7, -4, -1\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 AM and 9:12 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 1801*r**2 - 311571*r - 373. Determine o(173).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 61316 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8824*w**2 - 2245*w**2 + 2911*w**2.\nAnswer: -8158*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -722 + 720. What is the second biggest value in i, 2\/11, 2\/7, 0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*q**2 + 903*q + 460 = 0.\nAnswer: -20, -23\/44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1270 - 1228. Solve 42 + z = 21*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 12 - 27 + 15 - c. Let n(m) be the second derivative of 3*m + 3\/2*m**3 + 0 + 0*m**2. Calculate n(z(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 0 + 0 + -8 + -9\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 6907052.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -3*s**2 + 85*s + 1. Let q(x) = 4*x**2 - 85*x - 2. What is -6*d(v) - 4*q(v)?\nAnswer: 2*v**2 - 170*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 201013322 (base 4) in base 12?\nAnswer: 66622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 10 = 28. Suppose 0 = 5*u + 1097 - 147. Let p be u\/4*48\/(-30). What is the highest common divisor of t and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1412, 14, 8, 36, 4 in increasing order.\nAnswer: -1412, 4, 8, 14, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -55419398*b*i - 32133786*i wrt b.\nAnswer: -55419398*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (27 - (105 + 10)) + 108?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (4*sqrt(48)\/sqrt(4)*-2)\/((sqrt(24) - sqrt(6))*3*6) + -4)**2.\nAnswer: 56*sqrt(2)\/9 + 4001\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 - 12\/(-5)) + 70\/(-300). Sort i, -2\/3, -3, 4\/13.\nAnswer: -3, -2\/3, i, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2050 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 - 3*p + 2. Let v be i(-3). Suppose 6 = 2*w + v*n, -2*w + 0 = 4*n - 4. Suppose 0*x = w*x - 572. Calculate the highest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1010313030 (base 4) in base 6?\nAnswer: -10013500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 3*c**3 + 10*c**2 - 7*c + 13. Let q(y) = -y**3 - y**2 + 1. Let z(l) = m(l) + 2*q(l). List the prime factors of z(-7).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.37 - 3.88. Let x = z - -0.25. Let k = -5.092 + 0.092. What is the biggest value in 0.1, k, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + 328?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -2*a - 4. Let b(t) = t - 11. Let c be b(5). Determine r(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -36.162 in -1\/5, 0.27, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*((n\/n**(-6))\/n)\/n*n*n*n*n**(-7)*(n*n*n\/(n*n*n\/(n**(-1\/3)*n)))**(-33))\/((n**0*n*n)**(-3\/7)*n**(3\/7)\/n**(-7)) assuming n is positive.\nAnswer: n**(-186\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-163 - (20 - -10 - 15)) + 46?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83 = -2*g - 503. Let k = g - -424. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2356429727.\nAnswer: 3259, 723053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-323)\/(-855) - (-9)\/(-15)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 - 25*d + 52. What is the lowest common multiple of m(24) and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.929 - -0.071. What is the second biggest value in 1\/3, -5, n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -r + 2*y, 3*y = 3*r - 0 + 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-6)*(-9)\/12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**3 - 317*v**2 + 864*v + 396.\nAnswer: -(v - 3)*(v + 66)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10010011 - 101?\nAnswer: 10001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -4*k**3 + 2*k**2 + 7*k - 10. Let q be h(1). Let i(x) = x**3 + 4*x**2 + 4*x + 1. Let f be i(-3). Let r = 5 + -2. What is the closest to f in r, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 4*x - 81. Let h = x - -16. Let q(o) = o**3 + 11*o**2 + 11*o + 144. What is the remainder when h is divided by q(-11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-2*1*sqrt(832))**2.\nAnswer: 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((t\/(t**(2\/5)\/t)*t)\/t)\/t*t)\/(t*t**9))\/(((t\/t**(-1\/3))\/t)\/(t**4*t)))**15 assuming t is positive.\nAnswer: t**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (((-18)\/(-21))\/(33\/154) - (-876)\/218) + -8\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -32 + -2 - 6 - -5 - -119?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 - 13*w**2 + w + 2. What is t(-13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -q**5\/5 - q**4 - 7*q**3\/5 - 3*q**2\/5 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 140033*n. Let g(m) = -m**2. What is g(s(y))?\nAnswer: -19609241089*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 603 and 1206?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 10*t**3*z + 33999733*t**3 - 896596*t**2*z**2 + 8*t*z + 6 wrt z?\nAnswer: 10*t**3 - 1793192*t**2*z + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = m - 33, -4*m - 2*q = -2*m - 6. What is the remainder when 30 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8495*z - 11582*z - 9212*z + 5284*z as d + v*z and give v.\nAnswer: -24005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-17)\/((-153)\/15))\/(30\/324)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13\/((-130)\/3)*-2)\/(-2).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r - 496. Let c be i(0). Let s be (-16)\/(-28) - c\/14. Is (-6456)\/s*(-6)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -841102837 - -0.3\nAnswer: -841102836.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 + 2009 = 179*u - 1776 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5761 and 28063.\nAnswer: 23095849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - 1) + (0 - (-1 + 1 + 6))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-20) + (-30)\/(-300)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-24)\/(-78)*(-312)\/(-48) - 8. Which is the smallest value?  (a) 4  (b) v  (c) 1.61  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 207.51 plus -1?\nAnswer: 206.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - 522?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(2420)*1 + (sqrt(20) - (sqrt(20) + 2*2*sqrt(20))))\/((sqrt(4) + sqrt(196)*-3)*6).\nAnswer: -7*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00004489058 to 6 dps.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.55 - 1.79. Let j = x - 3.66. Which is smaller: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/4)\/((-2)\/20*2). Solve -o*k + 15 = 0, 5*k = 25*m - 23*m + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 2*n**2 + 30*n + 24. Let s(m) = -m**2 - 15*m - 12. Let h(l) = -6*q(l) - 11*s(l). Let i be h(-14). Solve 3*f + i + 18 = 4*v, -4*v - 2*f = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -4*a**3 - 3*a**2 - 3*a + 3. Determine g(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 + 5*u**2 + 5*u + 8. Let j(x) = 7*x**2 + x. Let i be j(-1). Let o be g(i). Solve 0 = o*v - 2*r, 1 + 5 = -5*v - r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.9  (b) -45  (c) -4\/7  (d) 0.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 6*v + 53. What is b(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b25171 - a?\nAnswer: b25165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -27984 divided by -106?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 a when three letters picked without replacement from {k: 3, a: 9, o: 3, g: 2}?\nAnswer: 27\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*n**4 - 11549724*n**3 + 25359885*n?\nAnswer: -48*n**2 - 69298344*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 - 13*y**2 + 15*y - 9. List the prime factors of x(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 695*k**2 - 22*k + 11. Let h(v) = 139*v**2 - 4*v + 2. Give 33*h(t) - 6*r(t).\nAnswer: 417*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 1:49 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (2 - 0) - (-2 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31264*0.5.\nAnswer: -15632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -12 greater than -213.6175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 - (-12)\/(-8)*2. Put 0, 2, p in descending order.\nAnswer: 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1060 - -1062. Which is bigger: 52\/45 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-34 - (22 - 77)) + (-5 - 0) + -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-483)\/(-23)*6\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -280 by -73.\nAnswer: 280\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 32\/5 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 198.9806 - 199. What is y rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by 3182775.\nAnswer: 3\/1060925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8791 - 49714 = -9*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(272) - (1 + sqrt(272))*-6))**2.\nAnswer: 8400*sqrt(17) + 334100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q - 4. Give p(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6 - 4*t**4 - 2*t**4 + 4 + (t - 4*t + 6*t)*(t**3 - t**3 + t**3).\nAnswer: -3*t**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -2059560 greater than or equal to -2059557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(75) + 1 + sqrt(3) + sqrt(3) + (5 + 1*sqrt(3))**2 + sqrt(3) + sqrt(3) + -5 + ((2*sqrt(144))\/sqrt(4))\/(sqrt(24)\/sqrt(2)*-6 - sqrt(12)).\nAnswer: 24 + 131*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 634281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -46\/2059 and -131\/54150564.\nAnswer: 1570366356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -94093, -376383, -846867, -1505545?\nAnswer: -2352417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + 0*r + r**2)*(-2 - r + 2) - 2*r**3 + 2*r - 2*r + r**3 + 0 + 0 + 3*r - 3*r + 2*r**3 + (1 + 4 - 3)*(-r**3 - r**3 + 0*r**3) + 5*r**3 - r**3 - 5*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2337966 to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 4*u. Let m(t) = t**3 + 12*t**2 - 12*t + 15. Let x be m(-13). Suppose a - 8 = -5*z, -z - 4 = x*a + a. Let h(v) = 80 - z*v - 80. Determine w(h(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 131, 17, -97, -211?\n\"Answer: -114*h + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*i**2 - i**2 + 2*i**2)*(275 - 845 - 1155 - 118) - i**2 + 0*i**2 + 3*i**2 to x*i + n + k*i**2 and give k.\nAnswer: 3688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the third derivative of 0*j + j**3 - 1\/24*j**4 + 0 + j**2. List the prime factors of p(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of o**3\/2 + o. Let l(r) = -2*r**3 - 2*r**2 + 1. Let n be l(-1). Let k be p(n). Let h(d) = d**3 - 3*d**2 - 2. Give h(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 14871931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.2 + 0.4. Let j = -36 - -32.8. Let f = j - -3.3. Is p greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(150)\/(sqrt(5) - sqrt(80)))\/sqrt(5)*5)\/((sqrt(64)*-2)\/(sqrt(88)\/(sqrt(11) - 2*sqrt(11)))).\nAnswer: -5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-386*w + 778*w - 390*w + 76)*(7 - 4 + 0).\nAnswer: 6*w + 228","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the second derivative of z**7\/105 - z**6\/75 - 4*z. Factor g(j).\nAnswer: 2*j**4*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2486*c - 7760 wrt c.\nAnswer: 2486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + 6. Let v = -5 + i. Sort v, 4, -2.\nAnswer: -2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*b - 337*b - 18909 = 109*b for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 2*sqrt(720).\nAnswer: -3 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*v - 100 = -15*v. Calculate the highest common divisor of v and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**4\/7 + 841184*a**3\/7 + 27761976*a**2\/7 + 305392384*a\/7 + 159970228.\nAnswer: -4*(a - 210329)*(a + 11)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*j - 2*j + 0*j)*(0 + 1 + 1) + 167 - 4*j - 167 + 2*j - 5*j + 2*j.\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 1\/176687220?\nAnswer: 1\/176687220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.5  (b) 0.4  (c) -5  (d) -1\/6  (e) 2271  (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f + 12. Suppose 6 = -2*u - 6. Let y be x(u). Suppose 3*w - 4*s = y, 3*w - 4*w = 4*s - 2. Which is the third smallest value?  (a) 5  (b) -4  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 + 2. Let m be w(0). Suppose 3*k + 5*x = 2*k + 3, m*x + 6 = -4*k. Let h(i) = -3*i**2 - i + 2. What is h(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3707\/1060 + -29\/53. Calculate the common denominator of 127\/18 and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1511 + -1499. What is the remainder when 623 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 319*j = -146*j - 7905 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -4*m**3 - m**2 + 2. Let s be d(-2). Suppose -3*f = 4*w - 160 - 12, -3*f + 212 = 5*w. What is the greatest common divisor of s and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -82, -332, -750, -1336?\n\"Answer: -84*n**2 + 2*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18 + 16.9. Let z = k + -2.9. Is 0.2 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of -t**7\/1260 - t**4\/3 - 6*t. Let n(w) be the third derivative of s(w). Let o(c) = 6*c. What is o(n(j))?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = -4*i + 4*o + 227, -4*i + 152 = 2*o. Suppose i = 5*d - 0*d. Suppose -r - d = -3. Which is the second biggest value?  (a) -0.5  (b) r  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 10. Let s(v) = 5*v**2 - 2*v - 1. Let w be s(-1). What is the greatest common divisor of g and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 16 + 4. Sort -1, 0, i, 5.\nAnswer: i, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of -d**8\/112 + 6*d**7\/35 - 9*d**6\/8 + 29*d**5\/10 - 3*d**4 + 400*d**2 + 2*d. Determine h, given that t(h) = 0.\nAnswer: 0, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 31895 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 56, -0.4, 114\/7, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -11*k**2 - 4*k - 6. Calculate o(-3).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 PM and 1:16 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -150619593785*b**3 - 7 + 7 + 150619593816*b**3.\nAnswer: 31*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -5*m + 12. Suppose 5 = -t, 4*o + 0*t = -m*t - 40. Let h(a) = 2*a + 2. Calculate h(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*w + 270 = 42*w - w - 7*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 8*m - 618. What is the remainder when m is divided by 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4050 and 5160915?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -754 = 6*o - 1510. Solve -114*y + 72 = -o*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 1 - 2)*(-5 + 2 - 2)*(4*a**2 - 243*a**4 + 22*a**3 - 3*a**2 + 237*a**4) to the form p*a**4 + h*a**2 + y + i*a + o*a**3 and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7289\/1274 + -90\/49. What is the common denominator of q and (-2)\/(-6*8)*-254?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7484021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 322 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n**4 + 4*n**4 - 3*n**4 + (2*n**2 + n**2 - 4*n**2)*(n**2 + 5*n**2 - 4*n**2) - n**4 + 16*n**2 - 14*n**2 - n**4.\nAnswer: -6*n**4 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 394 + -352. Let x = b - 41.9999986. What is x rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-40)\/6*(3 - 6)\/(-1). Let y = 24 + b. What is the common denominator of -31\/8 and (945\/132)\/3 - y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 12) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 2*a + 1. Let z(w) = 9*w + 3. Let p = -25 + 26. Let t(y) = p*z(y) - 3*o(y). Give t(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2110 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 27 - 15. Let d = n - 7. Find the second derivative of -10*i + d*i**4 + 4*i + 3*i wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of g**3\/6 - 2*g. Let k(p) = -5*p. Calculate k(v(f)).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 10) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 11*n - 131200. Suppose -52*q - n = -56*q. Round q to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -4, 2, -1 in descending order.\nAnswer: 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 42635625 to the nearest integer?\nAnswer: 6530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(120)\/sqrt(2))\/((-2*sqrt(84) - sqrt(84))\/sqrt(7)).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -15*x**2 + 457*x - 3. Let d be s(30). Let t = -413 - -778. Let m = t - d. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2239655 is divided by 279949?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -526, -1676, -3430, -5746, -8582?\n\"Answer: 7*j**3 - 344*j**2 - 167*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 + 14*m**2 + 29*m + 50. Let t be o(16). Let y(v) = -v**3 + 3*v**2 - 3*v + 3. What is y(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77870.39 nanoseconds in microseconds?\nAnswer: 77.87039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 7*f - 23. Let z(w) = 27*w - 90. Let d(c) = -15*l(c) + 4*z(c). Let u(q) = q - 7. What is -4*d(v) + 9*u(v)?\nAnswer: -3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(3168) + sqrt(3168) + sqrt(3168))\/sqrt(2))**2 + sqrt(33)\/(sqrt(6)\/sqrt(2)*1) + (4 + 5 + 1*sqrt(1331) + 4)**2.\nAnswer: 287*sqrt(11) + 3084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**3 - 6*b**2 + 2*b - 6. Let p(r) = 3*r**3 + 18*r**2 - 7*r + 17. Suppose 16 - 91 = -3*y. Let f = -21 + y. Let c(l) = f*p(l) + 11*j(l). Give c(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6344 + -5 + -1 - (16 - 15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (16\/10)\/((-6)\/15) - -14. Let a(w) = 4*w - 30. Suppose 5*k - 4*r = 211, 5*k = 4*k + 4*r + 55. Calculate the remainder when k is divided by a(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1884 + -1915.82. What is p rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8395, -8396, -8397, -8398?\nAnswer: -8399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/35*1540\/66.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (((sqrt(304) - (sqrt(304) - sqrt(304)*-2))*5)**2 - (-6*(sqrt(304) + -1) - sqrt(304))).\nAnswer: 28*sqrt(19) + 30393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 84*w - 34*w - 150. Solve -5*f + 10 = -5*g, 10 = w*g + 16*f - 11*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z + 52 = 2*z - 3*w, -3*z - 40 = 4*w. Let r = -52 - -52. Put r, z, -3 in increasing order.\nAnswer: z, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.9, 59\/3, 2698, 0.\nAnswer: -0.9, 0, 59\/3, 2698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1.1 times -0.105\nAnswer: -0.1155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 1425 = 4*y + 415, 505 = x - 6*y. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 12) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 7*w. Let d = 36 + -32. Let r be (2 - (2 + d)) + (-3)\/(-1). Give g(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/41425 and 23\/33180.\nAnswer: 274896300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ocovvovonvoonvngcsoo. What is prob of sequence nvgn?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5416886 is divided by 134?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4320 = -5*o + 4*v, -3*o - 3*v - 1865 = 700. Let n = o - -29239\/34. Put n, 5, -0.5, -4 in decreasing order.\nAnswer: 5, n, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 815*z - 2311. Give u(3).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times -0.1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16\/7 - -87\/35. Let s = -192 + 189. Sort -1, s, f in increasing order.\nAnswer: s, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 - 26\/(-22)) + (-422)\/22. Let n be (-30)\/j - (-15 - 5)\/(-10). Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, 8, -5\/3 in descending order.\nAnswer: 8, 2, -5\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 181*u = -185*u + 24, -13 = 4*y + u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b - 7 - 3. Suppose 2*p + 4*a + 0 + 12 = 0, -26 = -4*p + 2*a. Let s = p + b. Solve -2*n - g = -4, s*g - 4*g + 8 = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*x**2 - 6 + 0*x**2 - x**2 - 5*x**2 to p + c*x**2 + o*x and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1406 and 143773.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.4  (b) -1\/3  (c) -2\/15  (d) 1  (e) 0.08  (f) 8589\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 37 - 18. Solve 0 = -4*w - 16, x + 4 = 4*w + y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 23 = -2*w - 0*w, 18 = 2*a + 2*w. Solve -a*s - 4*l = 26, s + 54 = l + 56 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 493\/34*(-1)\/(-12) and (2\/16)\/(1\/(-46)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 392 and 80?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4418 and 931540.\nAnswer: 43782380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 4*g - 72, -3*p - 50 - 12 = g. Let n(c) = -4*c. Let z be n(5). Let o = z - p. Solve -4*j - 23 + 7 = o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 3*f**2. Let p(a) = -a + 5. Let n be p(-2). Let w = 9 - n. Let t(i) = i**w - i**2 + i**2 - 4*i**2. Determine t(c(r)).\nAnswer: -27*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/27 - (-352)\/144 - (-76)\/(-20).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42811652 divided by 26.\nAnswer: -1646602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -164028 or -164027?\nAnswer: -164028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14*15\/840*84\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23363*h**3 - 12272*h**3 - 2*h**2 - 12219*h**3 + 2*h**2.\nAnswer: -1128*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 53  (b) 0.057  (c) 2  (d) -0.7  (e) -66  (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12 - -32. Calculate the remainder when p is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 9:09 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4763157051 to the power of 1\/2, to the nearest integer?\nAnswer: 69016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/3360*42*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(6\/17)*z*z*z*z\/z**(2\/21)*(z\/(((z\/(z\/((z\/(z*(z*z*(z\/(z\/(z\/z**(-2\/31))))\/z)\/z*z*z)*z)\/z)))\/z*z)\/z))\/(z**(-7\/5)\/z) assuming z is positive.\nAnswer: z**(648649\/55335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 185 = 28*s - 25*s + 4*v, -2*s = 3*v - 125. Suppose -p = 4*p - 385. Calculate the highest common factor of s and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1 - -441699.\nAnswer: 441698.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -5788900 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 4 = 0, 0 = 2*o - 5*t + 9 + 1. Is -1 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12221.766 microseconds to days.\nAnswer: 0.000000141455625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -9, 4, -1, -36?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaptpptaa. What is prob of sequence ap?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(-4))\/(5\/2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7513434 hours to seconds.\nAnswer: 2704.83624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 98917 or 14046049\/142?\nAnswer: 98917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30 and 2112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/(-8))\/((-63)\/84). Which is the third smallest value?  (a) -1  (b) j  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*f + 701*f**2 - 2470*f**2 - 18*f + 29*f.\nAnswer: -1769*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = -4*w - 86. Let m(h) = -h**3 - 12*h**2 + 13*h. Let n be m(w). Suppose n = 2*s - 2*a - 958 - 436, 5*s = -a + 3467. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 226 - 226 - 13*j**3 - 13*j**3 - 4*j**3.\nAnswer: -30*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7092351231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/12*(0 - 2). Let r = 40.06 - 40.36. What is the nearest to -5 in b, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 92902 or 92958?\nAnswer: 92958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*-15*1\/(-6). Let i(a) = -a - 3 + 7 + 8 - y*a. What is the tens digit of i(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 2*f = 2*z - 15, 4*f = -3*z + 80. Let l be (-6)\/z*(-13615)\/12. Let h = l + -333. Find the common denominator of 55\/9 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, -36, 105, 0, -4, 1 in decreasing order.\nAnswer: 105, 15, 1, 0, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 5*v**2 - 425770*v = 0?\nAnswer: 0, 85154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express ((5*o + 21 + 12 - 30)*(3 - 2 - 2) + 5 - o - 5)*(-35*o**2 - 31*o**2 + 74*o**2) in the form r*o**2 + a*o + s*o**3 + p and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1536908 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/9)\/((-8)\/2454). Let v = w + 68. Let j = -2\/79 + 245\/316. What is the biggest value in v, j, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 2  (b) -2\/7  (c) 4  (d) -3  (e) -1.08623\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*s**3 - 261*s**2 + 261*s**2.\nAnswer: -46*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nii when three letters picked without replacement from {n: 2, i: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.9*-0.084.\nAnswer: 0.4116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 8055, 19983, 35783, 55455, 78999, 106415?\n\"Answer: 1936*w**2 + 6120*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 + 12*q**2 - q - 8. Let y = 21 + -33. Let g be v(y). What is the closest to -1 in 0, -3, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 divided by -22528?\nAnswer: 13\/11264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15 or 79?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1648 and 3914.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -483 plus 0.251580416196?\nAnswer: -482.748419583804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35813439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(5\/3)\/(h\/h**6))\/(h\/(h**(1\/3)\/h*h))**(-2))\/((h**(-2\/3)\/h)**(1\/10)*(h\/h**(2\/3)*h)\/(h\/(h*h**4*h)*h)) assuming h is positive.\nAnswer: h**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 48*w**4 + 72*w**3 - 45*w**2 + 6*w = 0.\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108*p = -125 + 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3484350 or -2?\nAnswer: -3484350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28)\/(-322) + (-186)\/23.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + 1604?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -40965 * 1\nAnswer: -40965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 432 = -4*l. Suppose -5*x - 3*h = l, h - 2 = -2*x - 21. Does 6 divide (x\/5)\/(-3) - 124\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 3*w + 4. Let a(f) = 4*f + 5. Let j(g) = 4*a(g) - 5*h(g). Let t be j(4). Suppose t*l + 293 = 1713. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -21*h - 20*h - 10*h + (0 - 10 + 2)*(-2*h + 2*h - h).\nAnswer: -43*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:15 AM and 1:35 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-18)*(-912)\/304. What is the fourth biggest value in -1, -0.27, 9\/4, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -282988 and 490.\nAnswer: -138664120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1773 - -5782. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 12 = -4*l, 5*l = 4*q - 0*l + 2. Let v(z) = 528*z - 528*z - q*z**2. Let d(i) be the third derivative of -i**5\/30 + 5*i**2. Calculate d(v(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/31993, -1, -0.08 in ascending order.\nAnswer: -1, -0.08, -2\/31993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5870 - -11230. Does 67 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -290, -296, -314, -350, -410, -500, -626, -794?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 - 22*c**2 + 16*c - 12. Let o be j(-16). Let u be o\/(-18) - (-2)\/(-9). What is u rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 12 + 9 = 0. Suppose 0 = 4*h - m*a + 4*a - 132, -h - 4*a = -48. What is the greatest common factor of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 560*k + 4490. Calculate the remainder when 108 is divided by o(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -27 - 6. Let v be (-2 - o\/12) + (-45)\/12. Which is the third smallest value?  (a) -2\/9  (b) -4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 127859*z - 255573*z + 127714*z - z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 3 = 27. Sort z, 4, 0 in increasing order.\nAnswer: 0, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-7)\/(-14) - 18\/52. Let j(s) = s**2 - 13*s + 13. Let w be j(12). Let l be -2 + (w + (-124)\/(-44) - 2). Which is the nearest to -4?  (a) l  (b) 5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, 40, 102, 210, 376, 612?\nAnswer: 930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 20*f**2 - 72*f**4 + 18*f**3 + 42*f**4 + 8*f - f**5 + 37*f**4 + 2*f**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1891366 is divided by 4430?\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 5*d**3 + 6*d. Let j(q) = 14*q**3 + 17*q. Let c(l) = 16*l**3 - 2*l**2 - l. Let k be c(-1). What is k*u(p) + 6*j(p)?\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44613443 is divided by 1573.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 8*h - 10. Let p be x(5). Let q = p - -19. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of 2*v**3\/3 + v**2 + v + 4. Let b be g(-2). List the prime factors of b\/(-10) + (-14)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32)\/(-28) + (-1)\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, r: 4, z: 4, v: 1}. What is prob of picking 1 r and 1 z?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.05*-403.3\nAnswer: -20.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2130)\/284*116\/6*3\/(-15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 3 - 1. Let a be u*7\/(28\/(-136)). Suppose -k - a = -3*k. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -2*x - 2651, 6*m + 4*x + 1054 = 8*m. Calculate the remainder when 1605 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s - 732 + 732. Let y(x) = -10*x**2. What is n(y(m))?\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 3*j + 42, -5*n + j + 49 = 3*j. Find the third derivative of -v**4 - 9*v**2 + n*v**2 + v - v wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by -443.\nAnswer: 6\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.03 and 1.03.\nAnswer: 0.0309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 102 = 80. Let l = p + -77. What is the remainder when 207 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*z + 6*z + 39*z + 2*z in the form u*z + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 17 = -2*g - 5, 3*g - 3*v - 9 = 0. Let w(b) = 25*b**2 - b - 2. Let a be w(2). What is the least common multiple of g and (a\/(-21))\/(2\/(-7))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from exjxnnpp. What is prob of sequence jpe?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 142 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 2*s = 16593, 4*p - 2*s - 3*s - 13281 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -25*v + 18*v - 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53 + -167 - (7 - 11).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122.25484 rounded to two dps?\nAnswer: 122.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d - 3. Suppose 4 - 5 = -c. Calculate the remainder when l(4) is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1250.989986 - 1251. Round c to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 30 = 8. Suppose 108 = -l - c. Let v = l - -181. What is the greatest common factor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8608 is divided by 197?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 9916 = 9915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 9, 2*c - 57558 = f + 15321. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23858 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of d - 17 + 1\/2*d**2 - 22\/3*d**3. Let b(h) = 3*h. Calculate b(m(l)).\nAnswer: -132*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -43314 + 5?\nAnswer: -43307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 479657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4465999 - 5*v**2 + 4465999.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, 1, 0.3, 6, 7, -0.0375 in descending order.\nAnswer: 7, 6, 1, 0.3, -0.0375, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 629070 is divided by 92.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, l: 4, o: 8, p: 2, i: 4, r: 1}. What is prob of sequence ip?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/3210 and -70\/3531.\nAnswer: 35310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 55 + -30. Suppose 0 = 60*b - 146 + 26. Find the second derivative of -a*r + 21*r**b - 14*r + 52*r wrt r.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14995 - -15290. Solve -7 = -v*c + 296*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -2334850 and -2334850 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -181, -175, -169?\n\"Answer: 6*w - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(-6\/5)*f**(2\/11))\/((f\/f**(-3))\/f**(-1\/4)))**(-8\/3))**(-2\/57) assuming f is positive.\nAnswer: f**(-244\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -102, -84, -36, 54, 198, 408, 696?\nAnswer: 1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 203 + -208. Let d be 38\/(-16) - -2 - 0. Which is the biggest value?  (a) d  (b) -0.2  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -74, 43 in decreasing order.\nAnswer: 43, 9, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.37 + -1.06. Let y = -0.05095 + -0.65115. Let s = y - x. Round s to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23 + -13. Find the third derivative of 12*p**5 - 5 + w*p**2 + 8 - 3 wrt p.\nAnswer: 720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1, 9, 19, 29, 39, 49?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.1 - -5.1. Let r = 21923 - 21925. Which is the fourth smallest value?  (a) r  (b) -0.05  (c) -0.4  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -250725633 divided by -3?\nAnswer: 83575211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 92471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2612904 and 202944?\nAnswer: 20903232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/3)\/(((-34)\/(-12))\/(-17)). Let y(t) = 5*t. Let v(g) = 3*g. Let c(d) = a*y(d) + 5*v(d). Let h(l) = -l - l + 7*l - 2*l. Determine c(h(r)).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7559*h = -7550*h - 51462. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -c**2*l**2 - 4*c**2*l - 436796*c*l**2 + 641*l - 9 wrt l.\nAnswer: -2*c**2 - 873592*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/9 + 170108404*t\/9 - 3617108638928402\/9.\nAnswer: -2*(t - 42527101)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 205433 (base 7) to base 2\nAnswer: 1000101011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Add 7.9687804 and 20709.\nAnswer: 20716.9687804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v + 3. Let z(l) = 125*l**2 + 5*l + 51. Let s be z(12). Let g(m) = s - 3*m - 18111 + 4*m. What is g(d(y))?\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 163 (base 12) to base 11.\nAnswer: 18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + (22 - 1) + (-41 + -10 - -42).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*x**2 + 2*x**2 + x**2)*(2 - 2 - 1 + (0 + 1 + 2)*(-2 - 1 + 4) + 1 + 1 + 0).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-532)\/(-95))\/((-560)\/4900).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 29 + -19. Suppose p - 3*i = -2*p + 63, -4*i = -p + 30. Calculate the remainder when p is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/42*(-3)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*k - 3451 + 1731 + 1720.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 127668 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7745879 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3002 divided by 1?\nAnswer: -3002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 5480706 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -11002*d + 0*d**3 + 22003*d + 4*d**3 - 10963*d in the form y*d**2 + q*d + n + h*d**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -110*o**2 + 12*o. Let j(s) = 37*s**2 - 4*s. Let n(h) = 4*i(h) + 11*j(h). What is the second derivative of n(q) wrt q?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1359747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 11:39 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - 0. Let y be (-2 + -1)\/(3\/d). Suppose i - 28 = -3*w, y*w - 4*i = 4 + 38. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -117 - -260. Suppose o + 44 = 5*c - 34, -u = 2*o + 3*c. Let b = o + 110. Calculate the remainder when b is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (148*u + 171*u + 67*u)*(-2 - 6 - 28 - 15 + 12).\nAnswer: -15054*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2452*j**3 - 6967*j**3 - 1785*j**3.\nAnswer: -11204*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -391, -725, -1071, -1435, -1823?\nAnswer: -2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2840564?\nAnswer: 2, 17, 37, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1391 a factor of 13830713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 9, d: 4, l: 1, x: 2}. What is prob of picking 1 b and 1 x?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2, 1\/5, -59, 27, 5?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/10)\/((-1533)\/730)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13431 (base 7) in base 4?\nAnswer: 321000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - 4 - 5 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 721583.8 >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f. Let h(d) be the third derivative of -3*d**5\/10 + d**4\/24 + 2*d**2 - 14. Give h(k(w)).\nAnswer: -18*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1522 + 121 + 112 + 9*t + 1289.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -309.6382\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -651.9444 - -652. Let l = 0.07055 - u. What is l rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 4 - 51 = 0. Calculate the lowest common multiple of m and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/6  (b) 0.4  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1392831 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j**2 + j**3 + 0*j**2)*((0*j - 4*j + 2*j)*(2*j + j + j) + 2*j**2 + 49 - 49).\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 - (-12)\/(-4)) + 0. Let v(z) = -21*z**3 - z**2 + z + 1. Let c be v(x). Suppose 4*u + 29 = f, -2*u - 53 = -5*f + c. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*-2*sqrt(176)*1.\nAnswer: 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 3 - (0 + 15) - 7\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8063558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2\/7 + 188*q\/7 - 990\/7.\nAnswer: 2*(q - 5)*(q + 99)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - b - 4*b**2)*(3 + 4*b - 3) + (3*b**2 - 2*b + 2*b)*(-3*b + 0 + 0) - 3*b**3 + 2*b**3 - 6*b**3.\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 65.71197l?\nAnswer: 65711.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/436 and 121\/5886?\nAnswer: 11772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3673946?\nAnswer: 2, 1836973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 - t**2 - 4*t - 1. Let m = 6 - 3. Let i be o(m). What is the biggest value in 3, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -118 (base 11) to base 5.\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 31135885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 2\/7  (b) 1\/4  (c) 1\/3758  (d) 0.2  (e) 7  (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3993080, 3993084, 3993086, 3993086?\nAnswer: 3993084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -228 - -228.3. Sort 41, z, 0.4, 0 in decreasing order.\nAnswer: 41, 0.4, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -66771 by 7419.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -247*n + 113*n + 137216 = 0. Calculate the greatest common divisor of 640 and n.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 3*g - 14. Let j be d(5). Let h be (2 - 2)\/(j - 0). Which is the closest to h?  (a) -2\/17  (b) 0.1  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**2 + 14*x + 33. What is the lowest common multiple of 9 and m(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 - 1 - 2)*(3 - 1 - 4) + 1 - 1 + 3)*(16*p**2 + 15*p**2 - 7*p**2)*(-6 + 1 + 2) to the form l + n*p + q*p**2 and give q.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/2 - 1) + -15. Let z = y + 23. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/2  (b) -1  (c) -43  (d) -2\/79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*n + 290 = 332 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1838695825 from 0.03.\nAnswer: -1838695824.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is a57b (base 12) in base 8?\nAnswer: 43257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 263 by -5.\nAnswer: -263\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**3 - 75772*b**2 + 908832*b - 2726064.\nAnswer: 4*(b - 18931)*(b - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -5, 12, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.1598 rounded to two decimal places?\nAnswer: -1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -2*j. Let i(h) be the first derivative of -11*h**4\/24 + 95*h**2\/2 + 79. Let v(y) be the second derivative of i(y). Give f(v(c)).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**4 - 49*c + 29*c + 5*c**4)*(3*c + 3*c + 2*c).\nAnswer: 24*c**5 - 160*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.041 minus 27?\nAnswer: -27.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of (8\/1)\/((-16)\/(-128))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4252692 litres to millilitres.\nAnswer: 425.2692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 86\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*c + 2*c**2 - 2 + 4*c - 3*c + (-2 + 2*c + 2)*(-3*c + 4*c - 3*c) - c**2 - c**2 + c**2 + (-3*c - c + 2*c)*(c - 1 + 1) - 2*c**2 + 0*c**2 - 9*c**2.\nAnswer: -16*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -9394, -18807, -28218, -37627, -47034?\n\"Answer: s**2 - 9416*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1211054 (base 6) to base 9\nAnswer: -106407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*y - 8857 = -66811. List the prime factors of y.\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*l**4 - 3*l**3 - 3015*l**2 + 4236594 wrt l.\nAnswer: -8*l**3 - 9*l**2 - 6030*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 6:22 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + s - 18, -3*m - 4*s + 2 = -4*m. Is (-18)\/30 + (-1426)\/m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 233 * 0.1.\nAnswer: 23.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -n + 3*w + 3, -3 = 5*n + 3*w. Find the third derivative of 7*a**2 - 4*a**2 + a**2 + n*a**2 + 2*a**4 wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9472304 and 192?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1803773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9061.\nAnswer: 13, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*y**2 + 13081*y + 33486?\nAnswer: -4*y + 13081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1144745087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 171297, 171279, 171245, 171189, 171105?\n\"Answer: -o**3 - 2*o**2 - 5*o + 171305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/9  (b) 3  (c) -2\/11  (d) -173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -102988 + 103021.99616. Let l = 31.732 + 2.268. Let k = d - l. What is k rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/3))**(-37)*((c**(1\/2)*c)\/c*c)\/(c*c*c**(1\/6)*c) assuming c is positive.\nAnswer: c**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 + -12 + -1 + 4. Let v be ((-24)\/x)\/(9\/30). Let o be 0 + 6\/(-3 - -5). Solve -4*b + 6 = -3*n, o*n - 5*b + v + 1 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10 + 46. Let m be (2\/(-2))\/(3\/(-15)). Suppose q = f + m. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -7*x**2 - 6*x + 8. Let w(p) = -5*p**2 - 4*p + 5. Let y be (-9 - -1) + 0 + 0. Let o be (-810)\/243*((-63)\/14)\/3. Determine o*c(t) + y*w(t).\nAnswer: 5*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -366 in -2\/11, -22, -11, 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f + 7. Let c be b(7). Suppose c = 3*d + 4*s + 18, 0 = -2*d - 2*d + 4*s + 4. Let j be 2 + d + 4\/(-10). Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-5*sqrt(65)*-1)\/((1*sqrt(245) + sqrt(245))*1).\nAnswer: 10*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4 - (638 + 0))\/(-12) + 20\/(-24). Solve 11 = -u*n + 63 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52494905.\nAnswer: 5, 10498981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 57\/6597490 and -46\/2136799.\nAnswer: 1431655330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -612.5990014 + 612.6. What is d rounded to 5 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44540, -89092, -133686, -178346, -223096, -267960, -312962, -358126?\nAnswer: -403476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001324 to five dps.\nAnswer: 0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/1 + (6 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6245, -12043, -17881, -23771, -29725, -35755, -41873, -48091?\nAnswer: -54421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 - 13*f**2 - 14*f + 15. Give g(14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 16  (b) 44\/13  (c) -4\/9  (d) -2  (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4816823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 2*x = 0, 357*r - 356*r - 6*x + 0*x - 12 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 7*w + 1. Let l be z(5). What is the highest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, -1, -2\/5, -6\/97, -0.06, -0.0471?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 1*(-2 + sqrt(27) + -3*(sqrt(27) + 0))**2 + -4.\nAnswer: 24*sqrt(3) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**1)**(1\/31))**(6\/11)\/((q*q**(-2\/5))**(-11)*((q\/(q**(3\/4)\/q))\/q)\/((q*q**3)\/q)) assuming q is positive.\nAnswer: q**(63887\/6820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 76065226 a multiple of 2509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 2*-2*((sqrt(175) - sqrt(175)*-1) + 4 + -1 + (sqrt(175) - 2*sqrt(175)) - (sqrt(175)*-1*1 + 4)))**2.\nAnswer: -400*sqrt(7) + 11225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/9 - (-2984)\/(-6). Let x = g - 345. What is the units digit of x\/(-21) - 2\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3 - (-7)\/2) + (-14)\/4. Let s be (-35)\/6 - (5 - 8) - v. Put 0.2, 1, s, 3 in decreasing order.\nAnswer: 3, 1, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 70.79772 tonnes?\nAnswer: 70797720000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1602 and 30?\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from feeeefeeeefeee.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -772 + 751. Put -3, p, -4 in increasing order.\nAnswer: p, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5912344 millilitres in litres?\nAnswer: 0.0005912344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 511 + -515. Is v smaller than -2.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3. Let x(n) = -50*n**4 - 10*n**3 + 62. Let i(l) = 10*m(l) - x(l). Differentiate i(r) with respect to r.\nAnswer: 200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -6*s + 32. Suppose -2*g + 2*j = -2, -j - 14 = -5*g - 5*j. Let b(n) = g*n + 0*n - 29 + 51 - 32. Let l(u) = 16*b(u) + 5*f(u). Give l(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-108)\/(-20) + (-4)\/10. Let f(o) = -4 - 2 + 10*o + 2 + x. Let h(d) = d**3 + 4*d**2 - 4*d + 4. Let l be h(-5). What is f(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (46\/69)\/(4\/18). Differentiate 60 - 36*c**4 - 602*c**w - c**2 + 602*c**3 with respect to c.\nAnswer: -144*c**3 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 11, 26, 57, 110, 191, 306?\n\"Answer: r**3 + 2*r**2 + 2*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 429265 and 429266 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, i: 7, e: 5}. What is prob of picking 1 d and 3 e?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 + 27*g**2 - 24*g + 114. Let u be r(-28). Solve 0 = -u*y - 4*p - 4, 2*y - 5*y + 4*p = -14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -61a9 (base 13) to base 6\nAnswer: -142242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.2 in 2, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1*(-1 - 0) + -1. Suppose z = 4*h - 2 + 6. Let r(d) = -d**3 - d**2. Let q(w) = -2*w + w - 4*w**2 - 2*w**3 + 3*w. Give h*q(s) + 4*r(s).\nAnswer: -2*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 5*c - 100 = -132, 0 = p - c - 24 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 2*f - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 5*c = -207, -210*a + 213*a = -5*c + 581. Solve -3 = 186*h - a*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 7 = f + 3, 0 = -2*f + 3*q + 12. Is 12\/229 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -2*b - 8. Let s be q(-5). Suppose -4*g + 10 - s = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:12 PM and 1:43 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -1.4 and 27.73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**2 - 2*g - 3. Let t be m(-3). List the prime factors of -1*3\/t*-14*26.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 405446 to the nearest 1000.\nAnswer: 405000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.755 + 0.245. Sort x, 0, -2, -3\/4 in ascending order.\nAnswer: -2, -3\/4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 10*r = 13*r - 101, 3*d = 5*r + 142. Let y = d - 340\/7. Find h such that -2\/7*h**2 + 0 + y*h**3 - 1\/7*h**4 + 0*h = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10a4 (base 16) to base 13\nAnswer: -1c29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5297.5 + 5298. Let n = 0.9 - 1. What is the fourth biggest value in 0.07, n, -2\/15, g?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -4014, -8019, -12022, -16023, -20022, -24019?\n\"Answer: b**2 - 4008*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 1:19 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 5, k: 5}. Give prob of picking 3 u.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 950, 7655, 25856, 61301, 119738, 206915, 328580?\n\"Answer: 958*z**3 - z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(2\/5)\/((v*v**0\/v)\/v)*v**(-1)\/v*v*v**(2\/19) assuming v is positive.\nAnswer: v**(48\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.258 to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the second derivative of 4*x**3\/3 - 27*x**2\/2 - 50*x. Is 38 a factor of s(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -62245 (base 8) to base 10.\nAnswer: -25765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5474 - 5348. Calculate the remainder when q is divided by 53.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 252 and 347690?\nAnswer: 6258420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -21 - -35. Let t(g) = -g**3 + 22*g**2. Let d be t(22). Let z = d - -14. Calculate the highest common factor of z and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of -37*y**5\/4 - 293*y**3\/6 - 9*y + 1. Find the second derivative of q(h) wrt h.\nAnswer: -1110*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 2 k, and 1 f when four letters picked without replacement from {k: 2, c: 3, n: 5, f: 3, e: 3}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(1\/((-1)\/(-1)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -27620.577 + 4.\nAnswer: -27616.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-75)\/(-25)*12\/27*3. Suppose g - 5 = r + 3*r, g + 4 = -5*r. Let n = 2 - r. Is n smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3072 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2 + 1546548*a - 597952679076.\nAnswer: -(a - 773274)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 30*(-12 + (-84)\/(-8)). Put 16, g, 2 in descending order.\nAnswer: 16, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**3\/4 - 15*g**2\/2 + 69*g\/4 - 9.\nAnswer: -3*(g - 1)**2*(g + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 + 17*h**2 - 20*h + 7. What is the units digit of r(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 51485439 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -582 less than or equal to -612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2*d = 6*d - 13, -3*x = 2*d + 1. Which is smaller: -4 or x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 270 and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1091?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 26601*f - 17909 wrt f?\nAnswer: 26601","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 3*t + 8*t - 286, -2*c - 196 = -2*t. Let h = -47 - c. Is h a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u**3 - 40*u**2 - 89*u + 24. What is h(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17.000014 - -17. What is w rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 3*m + 40 = 0. Let x = 9 - m. Which is bigger: x or -4\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - 881?\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03 - 1412?\nAnswer: -1412.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25637*m**2 + 410044 - 410044.\nAnswer: 25637*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0 * -43927\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 404 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 160*g**2 - 159*g**2 - 3*g**3 + 2*g**3 + 7*g as o + u*g**3 + h*g + z*g**2 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -169825 greater than -169823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*j - 4*j + 6*j**2 + (1 + 4 - 4)*(-2*j**2 + 7*j**2 - 3*j**2).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1\/14  (b) -20\/69  (c) 2\/11  (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 + (-30 - ((-27 - -21) + -37))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -442 - -40?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-22)\/5)\/((-8)\/(-760)). Let k = h + 709. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8 - 417?\nAnswer: -40c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 135*j. Let a(d) = d**2 - d - 114. Give f(a(w)).\nAnswer: 135*w**2 - 135*w - 15390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, 2, 1, -2, -5, 281 in increasing order.\nAnswer: -5, -2, 1, 2, 23, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -16*n. Let w(f) = -117116*f + 1. Determine a(w(c)).\nAnswer: 1873856*c - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8)\/(-10)*5\/(-2). Let j be 0\/(8\/(y - 2)). Let h be -1*(j - -1)*-8. Calculate the greatest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (867\/(-6))\/((-3)\/6). Suppose -4*t - z = 3*u, 4*u + 250 = -4*t - 130. Let s = u + 140. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 136\/(-6) - (-17 + 275\/15)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-16 - -18) + 1 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -557\/1959, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccccccchcccc. Give prob of picking 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 3*i = -264, 0 = 5*m + i - 668 + 216. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -0.4  (c) -1\/23  (d) -857\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 + 12*s - 4. Let n(b) = -b**2 + 2*b + 27. Let x be n(5). What is f(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.5 + 3.5. Let x = -30.49 + 30.39. Let v = 0.8 - -3.2. What is the nearest to v in x, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5744111 micrograms in tonnes?\nAnswer: 0.0000000000005744111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -34 - -36. Let j(f) be the first derivative of 1\/12*f**3 - r + 0*f - 1\/16*f**4 + 0*f**2. Factor j(y).\nAnswer: -y**2*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*w - 5*w - 2*w)*(-2 - 4 + 3 + 0 + 2 + 0 + (1 + 0 + 1)*(-5 + 2 + 1) + 1 - 4 + 1) as h + x*w and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3515003.7180418 + -3515004. Let p = z + 0.282. Round p to six dps.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/9 - (-91)\/21. Suppose p*n = 370 + 185. Is n a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 + 23*c + 54. What is v(-19)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/((v*v*v\/(v\/v**(-2\/5))*v*v)\/v))**(-6\/5))**(-10) assuming v is positive.\nAnswer: v**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 285.\nAnswer: -4\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15\/9*(-2183652)\/(-180) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23094 - -23095. Let k(x) = -x**2 - 5*x + 5. Let h be k(-5). Let c(t) = t**3 - t**2 + t. Let j(f) = 2*f**3 + 4*f**2 - 5*f. What is h*c(r) + i*j(r)?\nAnswer: 7*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 4:47 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*j = -u + 63*j - 15, 25 = -3*u + 2*j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -26*s - 839. Calculate d(-92).\nAnswer: 1553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 4297*y**3 + y**2 - y - 1. Let l be d(-1). Calculate the common denominator of 34 and -3 - l\/546 - 2\/13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/11 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the second derivative of -w**6\/75 + 3*w**5\/50 - 4*w**3\/15 + 16*w. Suppose g(n) = 0. What is n?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 + 1)\/(3\/6). Suppose 5*q = -0*g + z*g - 2, 4*q + 4 = 4*g. Suppose -6 - 12 = -g*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 115091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 609352 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + -28 + -20 + 21.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4200 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 223838*f**2 - 12*f - 3. Is l(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2869 is divided by 206.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 + 3*m**2 + 3*m + 1. Let o be i(4). Is o\/2 - 154\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14 - -29. Let x = 19 - m. Suppose 0*a + x*p = 5*a + 3, -3*a + 3*p - 3 = 0. Solve a = z - 0*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1421812 divided by 7.\nAnswer: -203116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.05363506 to five decimal places.\nAnswer: 0.05364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -w + 17*w - 13*w - 5*w**3 + 45*w - 40*w**2 + 12*w + 5*w**4 = 0?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 51442 and 20.\nAnswer: 514420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 86841 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 less than or equal to 93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -0*p - 2*z - 1173, 5*z - 3464 = -3*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -6  (b) -4  (c) 1  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9 + 0.67.\nAnswer: 9.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (6*(sqrt(35) - sqrt(35)*1))\/(sqrt(112)*1) + -1 + (0 + sqrt(125))**2 + sqrt(125) + sqrt(125) + 4)*2.\nAnswer: 20*sqrt(5) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1970, -1985, -2026, -2105, -2234, -2425, -2690, -3041?\nAnswer: -3490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1127573558 a multiple of 458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -7*h**2 - 2*h - 445. Let o(c) = -32*c**2 - 8*c - 1779. Calculate 2*o(k) - 9*s(k).\nAnswer: -k**2 + 2*k + 447","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-10)\/8)\/((-11)\/88). Suppose 6*c = 4*c + n. Solve 0 = 4*k + k + y - 20, 0 = -c*k + y + 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 897*d = 26823 + 42447 + 17019 - 19014 for d.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (-7 - (9 - (5 - (-3 + -1)))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19015, -38019, -56999, -75943, -94839?\nAnswer: -113675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 59, -2, -1, -3 in ascending order.\nAnswer: -3, -2, -1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 48*c - 24. What is the remainder when 44 is divided by v(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*g - 5*g - 4*g + 3*g in the form l + f*g and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/3 + 2715776\/(-220). Let c = p + 12345. Calculate the common denominator of -53\/15 and c.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(108\/(-32))*2\/2?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from {e: 2, a: 3, u: 3, r: 3, w: 1, t: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -2212, -1320, 154, 2204, 4824, 8008, 11750, 16044?\n\"Answer: -q**3 + 297*q**2 + 8*q - 2516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes after 6:14 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -10*c - 3 - 3*c**2 - 3*c**2 + 3*c + c**3 + 5. Let x be r(7). Let z(v) = -10*v + 10*v - x*v**2. Let s(d) = 4*d. What is z(s(k))?\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*y + 0*y + 13*y + 3*y to the form x + t*y and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 4*g = -48. Let h(d) = 2*d**2 + 10*d - 20. Let a be h(-10). Calculate the highest common factor of a and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16310883 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -2*q - 12. Let s be d(-8). Let p be 18*(-2 - (-34)\/s). Let n = 4 + p. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000002584 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 266*n*r**3 + 2*n*r + 312*r**3 + 2 wrt n?\nAnswer: 266*r**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4745534 and 922?\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 + 3*u**2 + 11*u - 29. Let j be t(4). Let k(d) = 22*d**3 + 3*d**2 + 3*d. Calculate k(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2677 + -3 + (-1 - -1) - 2 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 777131\/6 - 129518. Let y(k) = k - 4. Let p be y(7). What is the common denominator of i and (-1 - -152)\/(8*p)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 9 and -50940.\nAnswer: -50931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 221, 1, 8, 4, 3 in ascending order.\nAnswer: 1, 3, 4, 8, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32 + 141 + 17)*(-32*m + 32*m - 16*m**2).\nAnswer: -2016*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7888, -30940, -69356, -123130, -192256, -276728?\nAnswer: -376540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 33826 and 46202?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -6452246, -6452214, -6452180, -6452144, -6452106, -6452066, -6452024?\n\"Answer: v**2 + 29*v - 6452276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*x + 2*x - x)*(-3*x + 4*x + x) - 49*x**2 + 33*x**2 - 100*x**2 + 3 + 358*x**2 + 3*x - 3*x - 355*x**2 as m + t*x + g*x**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 15547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of 0*s - 1\/3*s**3 + 0*s**2 - 3 + 0*s**4 - 1\/60*s**5. Let k(f) be the third derivative of l(f). Let p(y) = 4*y**2. Give k(p(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 142381103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 256.3, 5, 0.1, 2\/5.\nAnswer: 0.1, 2\/5, 5, 256.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1211352405\/1419352 + 1\/129032. Let q = u - 851. What is the common denominator of q and (-312)\/2*9\/(-120)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 257 = -1183. Let x = 585 + r. Suppose -124 - x = -2*l + 5*y, 215 = l - 4*y. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 148*j = 150*j, -2*f = f + 4*j - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12*g*q**3 - 121*g*q**2 - 2*g - 3*q**4 wrt q?\nAnswer: -72*g - 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -1. Suppose 5*j - 4 = j, -11 = 5*s + 4*j. Let n(i) = i - 38. Let p(v) = -v + 31. Let h(x) = -5*n(x) - 6*p(x). Determine s*o(z) - h(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 20201560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 246178 + -392900225\/1596. Find the common denominator of -83\/304 and g.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 + (14 - (-1 - -12)) + -15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6314, 6117, 5920, 5723, 5526, 5329?\nAnswer: 5132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4344*s*z**3 + 12807*s*z**2 + s - 13*z**5 wrt z?\nAnswer: -26064*s - 780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 + 11*n - 8. Let f be d(-18). Suppose -6*r = -3*r - 162. Let m = f - r. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-1567.\nAnswer: 4701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 5995*t**2 + 3 + 6760*t**2.\nAnswer: 765*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand u**3 + u**3 + 0*u**3 - 10*u**3 - 14*u**3 + 5*u**3 + (2*u**3 + 2*u - 2*u)*(1 + 0 + 0).\nAnswer: -15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -3*p**3 + 7*p**2 + 6*p - 15. Let i be v(6). Let a be ((-5)\/(-15))\/(i\/189 - -2). Suppose -b - 19 = -a. Solve 0 = b*d + 3*d + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -117\/2260250 and 133\/542460?\nAnswer: 13561500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 496390363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1962 + 418 = 35*u. What is the greatest common divisor of 2924 and u?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -829751.501 rounded to the nearest ten thousand?\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, s: 3, y: 1, d: 3, h: 2}. What is prob of sequence ysy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.6 - 0. Which is the second biggest value?  (a) -2\/5  (b) u  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -37*r - 1778. Let t be u(-48). Let w be 1*((121 - 3) + 2). Let g = w - 842\/7. Which is the third smallest value?  (a) t  (b) 2\/3  (c) -0.5  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 7:32 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v**4 + 12*v**3 = 0. Calculate v.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0012667 to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 591135 to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 16 + 6 + (8 + -18 - -11).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) - (1*sqrt(68) + sqrt(68)) - sqrt(68))*4)\/((-2*sqrt(4) - sqrt(4))*-2 - sqrt(4)).\nAnswer: -8*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 j when three letters picked without replacement from fagjc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 - 28. Suppose q - 3*i + 2 = 0, 0 = q + 2*i + 1 + 1. Which is smaller: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -14. Let r = -12.61 + d. Let a = r - -0.11. Sort a, 1, 2\/9 in increasing order.\nAnswer: 2\/9, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16 and 1680324?\nAnswer: 6721296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -n**3\/2 + 150*n**2 - 22197*n\/2 - 22801 = 0.\nAnswer: -2, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42317044 divided by 3022646.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30*z - 42*z + 1 - 53*z + 95*z to the form b*z + m and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -3855*v**2 - 21*v + 3858*v**2 + 14*v - 160*v in the form t*v**2 + q + g*v and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3421218739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 373333 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 4*z**3 - 5*z**2 + 3. Suppose -146*s + 35 = -141*s. Let o(u) = 13*u**3 - 16*u**2 + 10. Give s*l(v) - 2*o(v).\nAnswer: 2*v**3 - 3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1559*o*w**2 + 24*w**2 + 7 wrt o?\nAnswer: 1559*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 19795*m**4\/3 - 406459*m**3 + 1716989*m**2 + 2255329*m\/3 - 190 = 0. What is m?\nAnswer: -2\/5, 1\/3959, 5, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 822 - 18908\/23. What is the third smallest value in k, 2\/3, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3589874?\nAnswer: 2, 151, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 3432*h + 13715. Give q(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 PM and 5:15 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -297*a**2. Let l(g) = 4033*g - 4 + 4 - 4032*g + 0. Give x(l(o)).\nAnswer: -297*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1219161, -2438324, -3657487, -4876650?\n\"Answer: -1219163*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3640 divided by -40?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -182 divided by -51827.\nAnswer: 182\/51827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -16 + (-24 - -46)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2335 or -30358\/13?\nAnswer: -2335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1\/2301 - 9199\/11505. What is the common denominator of 21\/2 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 288005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 - 17*z**2 - 64*z + 5. What is w(20)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 84980 (base 10) to base 15\nAnswer: 1a2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -158, -142, -126, -110, -94, -78?\n\"Answer: 16*f - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124717 is divided by 3188.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -402464 (base 7) to base 4.\nAnswer: -100220330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 323034 is divided by 1287?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(14*(-3)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 4:27 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(132)*-1*-1*4)\/(sqrt(300)*1*3))**2*2.\nAnswer: 16*sqrt(11)\/15 + 802\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1683646 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 + -5.8. Let i = 70213 - 70213.04. Which is the nearest to 2\/7?  (a) i  (b) -1  (c) r  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7421*c**2 + 160487*c**3 - 15588*c**3 - 7421*c**2.\nAnswer: 144899*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -59*p + 1050. Calculate g(18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-42))\/((-11)\/770*-20)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 392*v**3 + 386*v**3 - 780*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 216 - 76. What is the greatest common divisor of g and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1022169030?\nAnswer: 2, 3, 5, 17, 19, 37, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1352 and 1.\nAnswer: -1352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -2\/11  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4b9421 + -4?\nAnswer: -4b9425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*4*(-5 + sqrt(684)*2 + sqrt(684) - ((sqrt(684) - ((-2 + sqrt(684))*-2 + sqrt(684))) + sqrt(684))))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w**2 - 344*w. Let i(s) = -13*s. Calculate n(i(u)).\nAnswer: -338*u**2 + 4472*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -179109.679 rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 0 + 2. Let x be (-9)\/a - (0 + 1). Is 3 a factor of (-1 - x)*(-1)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 10475.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 118408279474417924.0000367 - 118408284645124143. Let i = z + 5170706870. Let v = i + -651. Round v to six dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aan when three letters picked without replacement from {a: 14, n: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 172 divide 7857304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23.55 - -14085.45. Let p = t - 14046.11. Let i = -59.5 + p. Round i to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*g**3 + 19 + 2*g**3 + 5*g**2 + 0*g**3 - 2 + 2*g - 3 in the form p*g + h*g**3 + a + y*g**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(121) - -2*sqrt(121)) + sqrt(121) + sqrt(121))\/(((sqrt(110)*-2 + sqrt(110) - sqrt(110)) + sqrt(110))\/sqrt(10)).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kffmfmfmkmfwmmwfmm. Give prob of picking 2 k and 1 f.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/18 and -17\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 2*k**2 - 14*k + 18. Let m(a) = a**2 - 11*a + 19. Let u(c) = -5*g(c) + 6*m(c). What is x in u(x) = 0?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 11\/4 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 12 = -2*r + 5*r, 2*r + 8 = 0. Let w be (-2)\/(3 + -5)*q. Suppose 16 = 3*k - w*k + 2*c, 10 = 2*c. Calculate the lowest common multiple of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6d03cd (base 14) to base 10\nAnswer: 3727121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -5*k + 32625, 4*w + 6505 = k + 8*w. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5406610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-8850)\/(-531))\/(2\/123). What is the highest common factor of 533 and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 6*a**2 + 4*a - 9. What is the units digit of b(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/62 or 1097111?\nAnswer: -5\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 514827215.\nAnswer: 5, 7, 59, 249311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -651 times 0.3\nAnswer: -195.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -2*t**3 + 21*t**2 + 75*t + 51. What is z(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 192 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3429 + 594*s + 3429 to the form d + x*s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27396607?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + m = 57 + 84, 3*x + 4*m = 88. What is the greatest common factor of x and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 + 13. Suppose 2*f + 359984 = -w*z, 2*f + z = -0*z - 359996. Round f to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -130 (base 16) in base 14?\nAnswer: -17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*y**2 - y**2 + 2*y**3 - y**2 + (2*y + 24 + 0*y - 21)*(-4*y**2 + 5*y**2 + 2*y**2).\nAnswer: 8*y**3 + 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6*3\/9*4. Suppose -5*t = 2*c - 6*c + 8, k = -4*t + 4*c. Solve t = -5*a + 25, z + 5 = 3*z + a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 + 8*s**2 - 11*s - 83. Let q be a(-8). Solve o + 12 = -q*j, -j + 2 = -5*o - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/18 + 1966\/6. Calculate the common denominator of -107\/12 and (-2)\/(-1)*f\/160.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 133558 and 17286?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2*2\/4*34. Let h = 56 + r. Calculate the remainder when h is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-100)\/(13 - 3) + (-18212)\/(-2).\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 0*l - 2*l + 5*l + 3*l. What is the units digit of n(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/14*35*(-9)\/90. Which is the second smallest value?  (a) -66  (b) -2\/9  (c) -1  (d) i  (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 374942846 and -0.4.\nAnswer: -149977138.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.32 and -8.23.\nAnswer: 2.6336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**3 + 8*k**2 - 10*k - 21. Give z(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104061?\nAnswer: 3, 34687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.146 - 93.854. Let p = -96.92 - d. What is p rounded to 1 dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/(-28) + 19757916\/84 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8314 is divided by 154.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5678544 divided by 3.\nAnswer: 1892848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/105420 and -33\/56.\nAnswer: 210840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.13 and -0.1260117.\nAnswer: -0.016381521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -4*y - 9. Let n be z(-3). Let r(s) = -269*s + 2 - s**n + 269*s - 2*s**2. Let i be r(-2). Solve -2*p - i = -0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8210 + 8173. What is the fifth biggest value in 1, y, 4, 3, -2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 15 - 23 = -5*u, 3*u = j + 14. Suppose u*v = -2*v. Let c be ((-1)\/2 + v)*-18. Solve 0*t = -3*t + c, -3*t + 13 = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/15 of a century in months?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence py when two letters picked without replacement from dypapdddssas?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 9) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2029, -1593, -873, 131, 1419, 2991?\nAnswer: 4847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 455393029 to the power of 1\/2, to the nearest integer?\nAnswer: 21340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 9:24 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -6, l - 530 = -3*l + t. Let x = 294 - l. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 60*t + 62. Let k be s(-18). Let d = k + 995. What is the biggest value in -1\/3, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 229*q - 576*q + 250*q + 217*q. Let r(a) = 15*a + 1. What is n(r(v))?\nAnswer: 1800*v + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + sqrt(125) + 2)**2*3.\nAnswer: 72*sqrt(5) + 552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -409 - -430. Let p(z) = -z**3 + 7*z**2 - 5*z - 6. Let i be p(6). Suppose q - 13 - m = i. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 926.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.2 + -66. Let u = j - -70. Let q = 65\/4 + -15. Put u, 4\/11, q in decreasing order.\nAnswer: q, 4\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-72)\/(-48) + (-19)\/14\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6096050?\nAnswer: 2, 5, 121921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -6*p + 7*p. Solve -4*u - z = -p*z + 7, 6 = -u + 5*z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24 by -142.\nAnswer: 12\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*v + 9627 - 3349 = -20*v - 186*v for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r + 1. Let s(q) = 4*q + 2. Suppose -7*w + 16*w = -27. Let d = 1 - 0. Calculate d*s(y) + w*x(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -917520.43 rounded to the nearest one hundred?\nAnswer: -917500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, -4, -49, -150, -325, -592, -969, -1474?\nAnswer: -2125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 96088?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 5*(((2*sqrt(136)*2 - sqrt(136)) + sqrt(136))\/sqrt(8) - (1 + -2*sqrt(17) + -2)) + 0.\nAnswer: 7 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66350 = -7*k + 339. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**1)\/b)**(-27)*(b\/b**(-1\/2))**(-50)*(b**(-2\/17)\/b*b*b**4*b)\/(b**(2\/5)\/(b\/(b*b*(b**1\/b*b*b)\/b))) assuming b is positive.\nAnswer: b**(-8459\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 105\/39814 and 49\/23420.\nAnswer: 398140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20 - -17. Let b = 0.1 + -5.1. What is the third smallest value in -2\/17, b, m?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 19.830897101 to two dps.\nAnswer: 19.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 306 by -6.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x. Let s(v) = 11400*v**3 - 6*v + 1. Let j(y) = 5*i(y) + s(y). Let f be j(1). Round f to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1149996277069\/503900476310 - 6\/93488029. Let x = h + -58\/245. What is the common denominator of x and (63\/24)\/((-33)\/(-28))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 206745*j + 3 - 3.\nAnswer: 206745*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (184\/18 - 0) + 12\/(-54). Sort -4, c, 1 in decreasing order.\nAnswer: c, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x**(-6)\/x))**(-3\/5)\/(x**17\/((x**(2\/3)*x*x)\/x)) assuming x is positive.\nAnswer: x**(-302\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 110.7 + -111. What is the nearest to -2 in y, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4969193?\nAnswer: 4969193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 324845.75 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 + 15*w**2 - 13*w - 5. Let h be z(14). Solve 0 = -5*f + 16 + h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 - 111*d + 47. Does 98 divide l(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -120 + 280. Let c be (14 + 0)\/(-5 + 8 + -1). Suppose c*o - 9 - 131 = 0. Calculate the greatest common divisor of o and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 14\/9, 0.89, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -0*a + 2. Let d(x) = 1. Let m(t) = 17*t - 13. Let h(q) = 8*q - 4. Let r(c) = -2*h(c) + m(c). What is a*r(o) + 3*d(o)?\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5181 and 165?\nAnswer: 25905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1179, -2004, -2829, -3654, -4479?\n\"Answer: -825*k - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 78043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -9062*m + 1069314. Determine o(118).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (3*(sqrt(208) + 4)*-5)**2)*3.\nAnswer: 21600*sqrt(13) + 151185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1*72 + (4 - 3). Let i be ((-2190)\/4)\/(177\/(-118)). Calculate the greatest common factor of k and i.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3586 = -4*m - 2*c, -6*c + c = -3*m + 2657. Suppose -h - m = -7*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-15)\/(-9)*(-90 + 104 - (11 + 0)). Solve -2*b = v*q + 10 - 0, 5*b = -4*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 15510 + 492 = -3*h, -o - h = -8006. Let j be (-2)\/3 - o\/9. Round j to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (f + 0*f - 3*f)*(-f + 0*f + 0*f) + (-2 + 5 - 1)*(0*f + 0*f + 2*f**2) + 181*f**2 + f + 177*f**2 - 381*f**2 in the form z + v*f**2 + c*f and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/5 - (-62)\/5. Suppose -r + 2 = -f. Let t = f + -5. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2534\/8869*(-12)\/64\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1009?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 4*w**2 - 5*w + 42. What is the units digit of o(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15869321 rounded to the nearest one hundred thousand?\nAnswer: -15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11233 = -906*x - 6*x - 102*x - 2107 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 455727038 to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0  (b) -5  (c) -6\/7  (d) 17  (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -18\/6005 or 1?\nAnswer: -18\/6005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/6 in 0.3, -0.3, 4, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 + 28. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*y**3 - 8*y**2 + 8*y**2 + (2*y + 2*y - 2*y)*(3 - 3 + y**2) - 4*y**3 + 11*y**3 + 6*y**3 - 28*y**3 - y**2 + 77*y**3 - 153*y - 29*y**3 - 19*y**3.\nAnswer: 12*y**3 - y**2 - 153*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3541943996 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -5 - 7. Let a(u) = -6*u**2 - 2*u - 5. Let h(n) = n**2 + 1. Let w(j) = -a(j) - 4*h(j). Let b be w(-2). Sort l, 2, b in increasing order.\nAnswer: 2, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17 - -26. Suppose n*l - 11*l = -84. Let q be l + (-6)\/3 + 5. Calculate the highest common factor of 30 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, a: 1, b: 1, g: 2}. Give prob of sequence bg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -30 - v**2 + 16 + 15 + 14*v in the form d*v + m*v**2 + n and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 581 - 540. Let d be (-43)\/(-6) + 15\/(-90). Calculate the remainder when 160 - d\/((-21)\/9) is divided by l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 3. Let b(d) = 210*d - 8. Calculate -b(n) - 3*r(n).\nAnswer: -210*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 4*y**3 + 11*y**2 - 4 - 8*y + 4*y - 4*y. Let w be r(-8). Let g be w\/(-18) + 2\/3. What is the highest common divisor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 17*x + 7. Let m(q) = 12*q + 5. Let i(b) = -7*m(b) + 5*p(b). Let n(k) = -k**2 + 2. What is n(i(c))?\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pfv when three letters picked without replacement from {p: 3, f: 2, v: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**10)**(-13\/3)\/((y\/(y*y\/y**(-2\/15)))\/y**(-17)) assuming y is positive.\nAnswer: y**(-296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*j - 54*j**2 - 27*j**2 - 10*j**2 - 11*j**2 + 10*j**2.\nAnswer: -92*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + -18 + (-1 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 + 2. Let n be z(0). Let b(s) = -n*s - 3 + 2 + 0 - 4. What is b(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 9:52 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 + 11*u - 11. What is the remainder when 49 is divided by p(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -5*a**2 - 48*a - 16. Let o be s(-9). Suppose o*p + 68 = -438. What is the second biggest value in -4, -1\/6, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -316 + 336. Solve 12*z - y = 40 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 1:20 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -225*m + 4*m**2 + 225*m + 1 + m**3 - 2. Let o(w) = w + 3. Let s be o(-6). Determine i(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (13 + (-1139)\/(-51))*21\/(-2)*-3. Is y smaller than 1117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 + 4. Let j = 2.2 + -2. Let r = -0.7 + j. Sort r, o, 0 in ascending order.\nAnswer: o, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1474, -2951, -4428, -5905?\n\"Answer: -1477*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**2 - w**2 + 3*w**2)*(-3*w**2 - 2 + 2 + (1 - 1 + w)*(-3*w + 0*w + 4*w)) + 2*w**4 - 2*w**3 + 2*w**3 + (0*w**2 + 0*w**2 + w**3)*(-2*w + 2*w + 2*w).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 134722 - -531?\nAnswer: 135153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123 = 3*h - f, 0*h + 2*h - 5*f + 69 = 0. Let w be (h\/5)\/((-12)\/40). Let t(d) = 39*d + 3. Let c be t(1). What is the greatest common factor of w and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 32*d - 30*d. Suppose 4 = x + l - 8, -x = -d*l. What is the highest common factor of 155 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15324 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*g**2*v**3 + 5032*g**2 + 6334*g*v**3 + 2 with respect to v.\nAnswer: -15*g**2*v**2 + 19002*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirteen fifths of a day?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*j + 3 = 46*j. Let o(n) be the third derivative of 0*n + 0 - 1\/2*n**3 + 1\/8*n**4 - n**2 + 1\/60*n**5. Calculate o(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -32 and 51.6.\nAnswer: -1651.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*p - 141 + 37 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-14)\/7*(0 - 70\/4). Let d be (-7)\/(i\/(-20))*2. Let y = 11 - d. What is the least common multiple of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26292809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 241 - 107. Suppose 2*m + 4*c - u = 0, m - 5*c = -3*m + 294. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*h - 11*h + 48 = 0. Which is the nearest to 1?  (a) h  (b) 4\/3  (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.9 + 4.90000051. Round f to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 3*x**5 + 465*x**4 + 1293*x**3 - 11337*x**2 + 9576*x = 0.\nAnswer: -152, -7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + 11. Calculate the remainder when k is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + 2 + (41 - 52) + (-1 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-9 + 34 + -23)\/((-1)\/(-3)) + 552 and 93.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 5*n + 13. Let i be o(-2). Suppose -i*p = 3*c, 4*c - 8 = 3*c + 3*p. Solve -14 = c*k - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - -104?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1637251776 and 14688.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 AM and 10:11 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19 + 33. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 466300?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11.5, 13\/4, -29\/9, -34 in decreasing order.\nAnswer: 13\/4, -29\/9, -11.5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8 - 0)*6\/(-8). Let o be -3 + (-2 - 4*6). Let g = k - o. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3147831133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 1693*j**2 + 2*j - 2. Is o(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43665958?\nAnswer: 2, 7, 53, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14 - -38. Suppose i = 3*y + 3*c, 4*y - 5*c = y + 8. Let d be -1 - -3 - (-3 - 2). Is d greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c - 2*c + c)*(3*c**2 - 11*c**2 + 15*c**2).\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d + 4*d + 2*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 609467.7 grams in nanograms?\nAnswer: 609467700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -399 + 400.1. Let h = -7 - -6. Let o = -16.8 + 17. Sort h, o, z in increasing order.\nAnswer: h, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.33982 rounded to one dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 e, and 1 g when three letters picked without replacement from {g: 1, t: 2, z: 1, q: 1, e: 1, h: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161*i + 171*i = 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 6, e: 5, i: 1, l: 7}. What is prob of picking 2 l and 1 i?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-888)\/(-16) - 1\/(-2). Suppose -22*s + 18*s + r = 0. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 55*h**2 - 91*h**2 - 1 + 35*h**2. Let c(g) = -4*g**2 - 7. Let b(w) = 10*w**2 + 18. Let s(x) = 5*b(x) + 12*c(x). Determine s(m) + 5*t(m).\nAnswer: -3*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/96 and (-151)\/(-12)*(-20)\/(-30).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 67\/7 + (-44)\/77.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 481 divide 448203015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 309326535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 7 - -37cd679?\nAnswer: 37cd681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 11869809293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -7*x + 20 - 3*x + 9*x + 2*x. Let t be r(0). Suppose -104 = -u - t. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0040148 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 7279311 divided by -3?\nAnswer: -2426437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4169995509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 503208  (b) 1\/3  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 6*m. Let x(b) = 17*b. Let w(p) = -408*p. Let s(l) = 5*w(l) + 119*x(l). Determine c(s(f)).\nAnswer: -102*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1660 - 11614\/7. What is the closest to l in -1\/7, 3, -35, -5\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the third derivative of -z**5\/30 - 5*z**3\/3 + 16*z**2. Let i = -1 - -2. Let h(t) = 1. Determine i*w(v) + 10*h(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -5*b + 29953, u = 4*b - 23948 - 27. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92264867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + -6. Let b be (25 - (0 - p))*-1. Let h = b - -89\/4. Is -0.3 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 79, 68, 49, 22, -13, -56, -107?\n\"Answer: -4*p**2 + p + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 - 8*k + 3. Suppose 6*a - 15 = 3*a. Suppose -a*r - 5 - 30 = 0. What is the tens digit of l(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117120 divided by -23424?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 smaller than -1\/805482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 14851136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum -214.418 and -72.\nAnswer: -286.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7\/5 + 3\/2. Which is the nearest to -2?  (a) 2\/17  (b) -0.02  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 603 + 61 = 4*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1621*h**2*w**2 + 207*h**2*w - 3*h**2 + w**4 - w + 1 wrt w.\nAnswer: 3242*h**2 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4986 + 4985.95314. Round b to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 7*r**3 - r**2 - 1121*r + 5581. Let h be k(5). Solve h = 26*t + 92*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 + 3*w - 3. Let u be t(3). Calculate the lowest common multiple of 4 and (3 - u) + 1\/1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of 0*w**2 + 0 - 2\/3*w**4 - w + 0*w**3. Let n(s) = -2*s**2. Calculate i(n(x)).\nAnswer: -32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10*f**4 + 5*f**5 - 5*f**3 - 33*f**4 + 28*f**4 - 5*f**2.\nAnswer: 5*f**2*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -113443 - 344?\nAnswer: -114120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/1274 and 69\/4323956.\nAnswer: 4323956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, 0.1, -59197.\nAnswer: -59197, -3, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -10527 greater than or equal to -10525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -1 - 7. Suppose j = z*j - 17. Let g = j - 13. Solve g*o + 36 = -4*n, o - 1 = 4*n - 2*o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 3*x + 1. Suppose 3*l = -3*t + 9, -2*l - t + 6 = -0*l. Suppose -l*v + 3 = -0. What are the prime factors of m(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y + 0 - 6*y**2 + 0 + 8*y**2. Calculate g(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(85)\/(sqrt(25)\/sqrt(5)*-4) + 4 - (sqrt(2057)*1*4 + (3 + 0 + sqrt(2057) - sqrt(2057)))**2.\nAnswer: -32917 - 1057*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9337.4 millilitres to litres.\nAnswer: 9.3374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + g = -9037 - 2240, 3*h = -3*g + 6759. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 s when three letters picked without replacement from xxsxsssxxxsssxxsssxs.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -152*d**4 - 2*d + 15335.\nAnswer: -608*d**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -3*v**5\/7 - 36*v**4\/7 - 132*v**3\/7 - 54*v**2\/7 + 81*v + 810\/7 = 0.\nAnswer: -5, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.52, -4, -3 in descending order.\nAnswer: -1.52, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*v**3 - 6 + 4 + 6*v**2 + 20*v**3 to the form f + n*v + j*v**3 + x*v**2 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 188 is divided by 171.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2200137995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 - 14 = -2*k. What is the remainder when 59 + (4 + 2)\/(-3) is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from rrrrrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 332*r - 16058 - 12718 = -5868 for r.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -122 (base 7) in base 15?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of -698*m**3\/3 + 1373*m**2\/2 + 556. What is the second derivative of g(v) wrt v?\nAnswer: -1396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**3 + t**3 - 2*t**3)*(-2*t - 4*t + 3*t + (4 - 4 + 2)*(-3*t + t + 3*t)) + 16*t + 26*t**4 - 16*t.\nAnswer: 29*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - -7. Suppose -2 = -2*i + 2*r, -3*r - o = -21. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -65, -142, -247, -380?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -27 + 220. Suppose -2*h - 2*h = -1344. Let x = h - a. Calculate the highest common divisor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 122122110 + -222?\nAnswer: 122121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 593 - 1484*y**2 + 382*y**2 + 747*y**2 with respect to y.\nAnswer: -710*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (31 - 28) + (-1 - 1) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vrw when three letters picked without replacement from svsssvavsrwvsrsv.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1500890.\nAnswer: 2, 5, 150089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*c = 72*c - 13062. Let t = c + -312. Is t greater than 119\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - -9. Let p = q + -3. Sort 4, 3, p in ascending order.\nAnswer: p, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 89*s + 2*s**4 - 177*s + 90*s + s**2 - 1 - s**3 in the form j*s**4 + a*s + l*s**3 + g + v*s**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 13 = -4*k, -2*t - k = -3*t + 7. Suppose 4*h + t - 29 = 2*o, 3 = -o - 3*h. Let w be (1\/12)\/((-10)\/o + -2). Is 1 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 174 is divided by 152.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/3*(-85 + -8). Let g = 34 + t. Let n be (-4)\/(-2*1) - 2. Solve 2*s - g*s = n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - 6 - (8 + (11 - (9 - -25))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 7:52 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**3\/8 + 548*q**2 + 4390*q + 8784.\nAnswer: -(q - 4392)*(q + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -13*j + 79. Let b be g(6). Is 5 a factor of -1*(-5 - (0 + 4 + b))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -488345237*p**2 + 488345237*p**2 + 2*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes after 4:07 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gnnnnggnnngngnxgn. Give prob of sequence gnnn.\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 5*h**3 + 13424260*h**2 + 268483700*h + 1342416000 = 0.\nAnswer: -2684832, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3402 - 210?\nAnswer: 3142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 28679 and 221238.\nAnswer: 1548666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -5, 41, 21, -186.\nAnswer: -186, -7, -5, 21, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 20 = -160. Is a*1 + (-3)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3 + 2*g**2 + 4*g - 2. Give m(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 5*z - 34 = 0, -2*o - 3*z = -5*o + 12. What is the highest common divisor of o and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/16 and 49\/661288.\nAnswer: 1322576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-446 - 2\/(-2))*1. Let w be (-3)\/((-60)\/(-8))*m. Suppose -2*k = w - 812. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 2*d - 7 + 1 = 0, -3*d = 4*f - 15. Suppose -3*h + f*h = 6. Is h <= 40\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -284*w**2 - 47*w + 28946?\nAnswer: -568*w - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 120 + -130. List the prime factors of (-4)\/z - 12537\/(-45).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7953, -7952, -7951, -7950, -7949, -7948?\nAnswer: -7947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1385*n - 39060 = -517*n for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*h**3 - 3 + 5*h**3 + 2 - h**2 - 2*h + 2*h**3 in the form u*h**3 + i*h + o*h**2 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**2 - 8*t - 6. Let a be ((-6)\/(-21))\/(4\/(-28)). Let r be (a\/3)\/(3 + (-258)\/90). What is b(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7465 = 23*u + 9*u - 12151. What is the remainder when u is divided by 101?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-59368)\/(-14) + (-6)\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 4\/5 and 54 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2042, 2469, 2900, 3335, 3774, 4217, 4664?\nAnswer: 5115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 24733795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 40127013 - -4?\nAnswer: 40127017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -13a81 (base 15) in base 10?\nAnswer: -63121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3012428.\nAnswer: 2, 79, 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add 1.4775 and -111.46.\nAnswer: -109.9825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-11)\/((-44)\/40)*5. Suppose 19*k = 24*k - f. What is the tens digit of (6 + 905\/k)\/(1\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((((-8)\/(-42))\/((-46)\/207))\/1)\/(-3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0, 0.33, -2\/7, -1, -5?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of -3*l**5\/10 - l**3 - 6*l. What is the second derivative of x(a) wrt a?\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of -d**2 - 2\/3*d**3 + 2*d + 1\/4*d**4 - 2. Let f(h) = -5*h**3 + 11*h**2 + 11*h - 11. What is 2*f(v) + 11*z(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -5*b + 39. Let r(o) = -14*o + 118. Let m(a) = 3*r(a) - 10*y(a). Let q be m(6). What is the greatest common divisor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 3*t - 4, -3*w - 2*t + 14 + 6 = 0. Suppose -2*d + 2*s + 22 = 2, -w*s = -20. Factor 5*a**2 - d*a + 3 + 5*a**2 - 3.\nAnswer: 5*a*(2*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13 + 8. Suppose 0 = a - 5*s + 11, 8 = -5*a + 4*s - 5. Let d = -2 - a. What is the closest to 1\/3 in x, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35748650 rounded to the nearest 10000?\nAnswer: -35750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - 4*v + 46, r - 4*v - 36 = 17. Suppose -2*l + 39 - 3 = 0. Let h = l + r. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 19.4, -0.004, -0.3?\nAnswer: 19.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -12*w**2 + 5*w + 2. Let b be m(-4). Let o = b + 123. Let l = o - -123. Calculate the highest common factor of 54 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 86600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 623 - 83 = 18*u. Solve 6*a - u = -0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69783*q = -69735*q - 3*u + 2031, 4*q = -3*u - 153 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 69475757*c**3 + 2*c**2 + 106316278.\nAnswer: 208427271*c**2 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3167 (base 11) to base 12\nAnswer: 250b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w - w - 3*w)*(-w - w + 4*w) + (0 - 2*w + 0)*(4*w - 5*w + 4*w) - 4 + 4 + 4*w**2 - w**2 + 4*w**2 - 4*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -36*m + 2367 + 175245 + 163452. What are the prime factors of m?\nAnswer: 2, 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 7) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2507 * -4\nAnswer: -10028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -83, -104, -121, -134, -143, -148?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 8\/(-4) + 10\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -8*k + 13. Calculate y(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -521 + 877. Let l = -352.91 + t. Which is smaller: l or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -402 + 0?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, c: 1, y: 4}. Give prob of sequence cyy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3170.4 + 3170. Which is the second biggest value?  (a) 56  (b) 2\/23  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = 4*b + f, 0 = b - 12*f + 17*f - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f**2 - 7*f - 7. Let n be g(6). Suppose 0 = -28*z + 4*z. Suppose z = 18*s - n*s + 240. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - -9. Suppose -6*x + o*x = -15. Solve q + x*s = -2*q + 13, -2*q = -s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 2434.321 centuries?\nAnswer: 243.4321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -67 * 1867.55\nAnswer: -125125.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -55 + 61. Let d = b + 98. Suppose -7*f = -9*f + d. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13069 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r + 21. Let l(a) = 4*a - 60. What is the remainder when l(25) is divided by g(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 1\/2*f**2 - 1\/2*f - 1\/2 + 1\/2*f**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/74?  (a) -0.06  (b) 14  (c) 1  (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-18824)\/4706)\/((-43)\/186 + (-5)\/(-30))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -2, -28\/135 in increasing order.\nAnswer: -2, -0.5, -28\/135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l + 2. Let q(u) = -u**3 - 10*u**2 - 8*u + 5. Let d be q(-9). Let o be h(d). What is the derivative of 0*i**2 + 4 - o + i**2 wrt i?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1557025\/6232 - 4745\/19. Calculate the common denominator of m and 41\/5.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 22 = -3*p. Let l be 11\/(-22)*(0 - -6). Let j = 8 - l. What is the highest common factor of p and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 7371025 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 5*m = -2*m, -5*z + 2*m = -5. Let y = 5 + -1. Calculate the remainder when y is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2573*b**2*u**3 - 74905*b**2*u + 46585524*b**2 - 1 wrt u.\nAnswer: -7719*b**2*u**2 - 74905*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -4198368415 to the nearest 100000.\nAnswer: -4198400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1*(0\/(-3) - -1). Let y(b) = -8*b**3 - 2*b - 2. What are the prime factors of y(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -0*i - 4*i. Suppose p - 3*y = i*p - 10128, -3*p - 4*y + 10127 = 0. Suppose -11*t + p = -0*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -772277111*l**2 + 119*l - 1841812 wrt l?\nAnswer: -1544554222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 521*c*k*s - 3*c*k*y + c*k - 87*c*s*y + 51*k*s*y - 2*k*s - 7146*k*y wrt c.\nAnswer: 521*k*s - 3*k*y + k - 87*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 504, 898, 1290, 1680, 2068?\nAnswer: 2454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*y - 2*y - 3*y + (-2 - 1 + 2)*(y + 0*y + 2 - 3).\nAnswer: -9*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-78 + 35 - 102)*(-7*u - 25 + 25) - 3*u + 8*u - u.\nAnswer: 1019*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -5 - 15. Suppose f*v - 1 = 9. Find the third derivative of -x**2 - 4*x**2 + v*x**2 + x**4 wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18358967, 36717945, 55076923?\nAnswer: 73435901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -28 - (-27 + (10 - -4))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25.7 + -25. Let l = -9375 - -9371. Which is the third biggest value?  (a) p  (b) 0.1  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - d - 8. Let a(z) = 0 + 8 - 6*z + z. Let v be a(d). What is v rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, -46.\nAnswer: -46, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 plus -306923291699?\nAnswer: -306923291692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26112 divided by -530.\nAnswer: -13056\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -4*j**2 - 1363446760*j - 116186691709656100 = 0.\nAnswer: -170430845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/(-86)*(-4)\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20661984.\nAnswer: 2, 3, 7, 37, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -2133 (base 4) to base 3\nAnswer: -12220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 863411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -35 + 37. What is the closest to 0 in -4, j, 8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23144608?\nAnswer: 2, 723269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 994.6 - 0.536?\nAnswer: 994.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 127, 202, 267, 316, 343?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 152 = v + 4*s, 5*v = -5*s + 963 - 143. Let q be 759\/18 + 5\/90*-3. Calculate the highest common divisor of v and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t*(t\/(t\/t**(-1\/2)))\/t)\/t**(-1\/4))**(2\/5))**(-43))**(11\/6) assuming t is positive.\nAnswer: t**(473\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -140044, -140141, -140310, -140557, -140888, -141309, -141826?\nAnswer: -142445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.68 + -0.18. Let x = 6 - d. Let n = x - -3.7. Round n to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 73810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 638992?\nAnswer: 2, 39937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 60*u**2. Let b(y) = -2*y**2 + 8*y**2 - y**2 - 3*y**2. Give v(b(f)).\nAnswer: 240*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the first derivative of j**3\/3 + 1. Let l(v) = 8*v. Give p(l(f)).\nAnswer: 64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9172729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in 0.5, -164, 2\/87?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.4370653278402 from 0.1.\nAnswer: 0.5370653278402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 - -11.4. What is the smallest value in 3, d, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6*-1*(-9)\/18. Solve -3*n - 12 = -x, -4*x = -5*n - q - 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 3*s + 82 = 0, -128 = -3*l - l + 3*s. Suppose 5*x + 2*q = 62 + 38, 10 = 2*q. Calculate the remainder when l is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (12 - 10)\/(((-4)\/78)\/(160\/(-480)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-2\/7)\/(c**8*c*c)*c**(7\/5)\/c**(-6) assuming c is positive.\nAnswer: c**(-101\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1503204945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/3  (b) -1  (c) 0.434  (d) 1\/2  (e) 2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from tttktttttknnktrt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -2*l**2 + l + 3. Let h be (-12 - -10) + 1*20. Suppose -n - 4*j = -h + 1, -2*j + 10 = 0. Calculate the common denominator of a(n) and 34\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -9*h*k*u + 165*h*k - 38*h*u**2 - 578*h - 2*k*u**2 + 2*k*u + u + 12 wrt k?\nAnswer: -9*h*u + 165*h - 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17.33 - 46. Let m = -27 - k. What is m rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 8:54 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -168, -967, -2398, -4461?\n\"Answer: -316*t**2 + 149*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1177 - 189 = 42*b - 493 + 95 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(1\/4))\/z*z\/z**(1\/6)*z**(1\/9)*z**(-1\/2) assuming z is positive.\nAnswer: z**(7\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 - 9859*a**2 - 49321*a - 260. Give g(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 47310663252 from -1.1.\nAnswer: -47310663253.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 11) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 - -6. Let r be 32\/80 + (-516)\/j. Suppose -2*a - r = -5*x + 72, x = 4*a + 32. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -1 + 4*j + 8*j - 13*j + 0*j. Let v(b) = 3*b + 1. Let n(t) = t**3 - 7*t**2 + 5*t + 8. Let h be n(6). Calculate h*u(z) + 2*v(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 681.9375 kilograms to milligrams.\nAnswer: 681937500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 19  (c) -2\/7  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -49.6 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -370 by 370.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 91 divide 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 116798 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 s, and 2 n when four letters picked without replacement from {k: 9, n: 8, s: 2}.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1372 - -43903\/32. Find the common denominator of -97\/1540 and h.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -9 - -1 - (0 + 9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (-1 + 0)) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 2  (b) -5  (c) 1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 46*k - 1008 - 17353 + 2583. Suppose 29*q - 33*q = -92. Calculate the remainder when k is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23048966.\nAnswer: 2, 449, 25667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of r**2 + 0*r + 1\/24*r**4 + 0 + 1\/6*r**3. Give b(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -221*u + 639 = -150*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + -1. Let h = -3.1 - r. Let u = 15\/46 - -4\/23. Is h < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*u = -24*u + 70803. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*v + 4*k + 40 = -5*v, k = -5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 4*w, 2*r + r = 12. Calculate the least common multiple of 22 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1\/4  (b) 350  (c) -30  (d) -0.05  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the second derivative of 22*x**4\/3 + 5*x**3 - 5*x**2\/2 - 245*x. Is h(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*q - 19*q + 20*q - 4*q - 154 + 53*q**2 wrt q?\nAnswer: 106*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*d - 18*d - 111. Let q(o) = 12*o**2 + o**3 - 12*o + d - 111. What are the prime factors of q(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 + 4*o - 3. Let q be 3\/(-2)*13\/((-39)\/6). Let a be (-6)\/(q + 36\/(-8)). Let j(z) = -z**2 + z - 1. Determine a*j(i) - m(i).\nAnswer: -5*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26 (base 10) to base 14.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 8 - 4 = 0. Does -4 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 equal to 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {s: 2, q: 1, k: 1, w: 1, o: 1, g: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 100 and 550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.856 - -0.556. Do h and 901 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.22 and 2.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) + (sqrt(132) - sqrt(132)*2)\/sqrt(11))\/(sqrt(54) - sqrt(1350)) - (2*(3 + (-2 + sqrt(98) - sqrt(98))))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(375) - (1*sqrt(375) - sqrt(375)))\/(-1*sqrt(605) - sqrt(605) - sqrt(605) - sqrt(605)).\nAnswer: -5*sqrt(3)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1928 - 1931 - (3 + -1 - 17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27576 divided by -1.\nAnswer: 27576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 44*v + 11. Let g be (-24)\/(-40) - (-12 + 365\/25). Calculate c(g).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 120, 190, 228, 228, 184?\n\"Answer: -x**3 - 10*x**2 + 107*x + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eececcececceec. What is prob of picking 2 e?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-1)\/(-6))\/1)\/((-912)\/(-60192)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 0) + 8 + -13 + 18 + -16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 414 and 552322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in -0.5, -186, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 42+-53582593.9847\nAnswer: -53582551.9847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 464, 960, 1486, 2042?\n\"Answer: 15*t**2 + 451*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 8) in base 16?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 723480*f**4 + 2*f**3 + 14*f**2 + 830217683*f.\nAnswer: 8681760*f**2 + 12*f + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -w + 5*a - 19, -2*a = -4*w - 98. Let c = w + 37. Suppose d - 136 = -4*g + 5*d, 2*g = -2*d + 72. Calculate the remainder when g is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 408*t - 409*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 10 + (-6 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 4*h**2 + 9*h. Let x(w) = -w**2 - 2*w. Let q(n) = 2*k(n) + 9*x(n). Let p(d) = 4*d**2 - 7*d**2 + 0*d**2 + 2*d**2. Determine q(p(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -3361 divided by -65734\nAnswer: 3361\/65734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 296100121 is divided by 433?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (3 + -4 - -27) - (10 + -26 + 18)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -242 (base 13) to base 8\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -69 + 69. Let b be -1*5*(1 - a - 2). Solve 2*q + b*z = q + 16, 0 = -5*q - z - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = 91*i - 85*i. Let j = 12 - 9. Suppose 0 = j*r - 43 + 7. Solve -2*w - 2*w - 4*n + r = 0, 4*w + n - i = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**4\/5 + 14*n**3 + 60*n**2 = 0.\nAnswer: -30, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -27*j**2 - 353*j + 18. Give p(-13).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208*x - 180*x - 140 = 0. Sort 1\/7, x, 12, -6.\nAnswer: -6, 1\/7, x, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -99*p - 361. Let u be m(-5). Which is the second biggest value?  (a) u  (b) -2\/7  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 4:32 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from {o: 2, r: 1, n: 2, h: 1, m: 1, i: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 79889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/440 and 16\/9.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -8*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -312 + 546 = 38*t - 564. Suppose -2*c = 5*x - 143, 2*c - c - x = 89. What is the remainder when c is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-9) - 35\/15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19*c**3 + 3760235*c**2 + 307*c - 459841 wrt c?\nAnswer: 114*c + 7520470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:34 AM and 7:06 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.15 + 0.05. Let o = s - 0.6. Let c be 0 + 0*2\/(-6). What is the nearest to 1 in c, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -2 + 3 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2 - 4*u + 1. Let q = 9 + -11. Let p be a(q). Sort -1, -3, p.\nAnswer: -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35439 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -17 + -10 - -26 - 22 - -40.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**5\/q*q\/q**(-4\/9)*q)\/(q**(-3)\/(q*q\/(q**5\/q)*q)))**(11\/2) assuming q is positive.\nAnswer: q**(418\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/10*1*5. Suppose x - 32 = k*w + 5*x, 2*x + 4 = 0. Let h = -10 - w. Sort 0, 5, h in ascending order.\nAnswer: h, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1648 - 633 + 1452 - 568)*(-t - t + 0*t)*(3 + 0 - 2)*(-4*t**4 + t**4 + 5*t**4).\nAnswer: -7596*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -18000 - -53932\/3. Which is smaller: -24 or g?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -6*o**2. Let n(x) be the first derivative of -x**3\/3 + 9. Calculate u(n(s)).\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3174 and 855922.\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 5:33 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 + -12.5. Let f = -0.39 - 0.01. What is the third biggest value in f, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = -6*m + 132. Let q = -19 + m. Let w(h) = 4*h - 16. Let s be w(5). Solve 2*u + 4 = 0, -i + q = -5*i + s*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 0*h = i - 10, 8 = -3*i + 4*h. Suppose 4*x + i*x - 8 = 0. Solve 8 + 8 = 4*b + 2*a, x*b - 8 = -3*a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29*(-62)\/899*(34437\/17280 + -2) and 1\/5.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2018 != 2018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -3*f. Let c be (12\/(-14))\/(3*2\/(-21)). Determine v(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11110010010010010010001 - 101?\nAnswer: -11110010010010010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -41 + 102. Let u = -98 + 30. Let w = s + u. What is the smallest value in -2, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 18289  (b) -1\/4  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the first derivative of -2*m**5\/3 + m**4\/12 + 17*m**2\/2 + 8. Let k(f) be the second derivative of n(f). What is the second derivative of k(b) wrt b?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8484149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 35 + -30. Solve 5*a = -4*u + 16, -h*a = 2*u - a - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v*v*(v\/((v\/v**(-12))\/v))\/v*v*v*v**(-4\/3)\/v assuming v is positive.\nAnswer: v**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -421, 30, -0.5, -4, 0.4 in ascending order.\nAnswer: -421, -4, -0.5, 0.4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*b - 819*b + 134*b - 184*b.\nAnswer: -891*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -8475306.2 + 3\nAnswer: -8475303.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 694 - 694 - 10*r + 5*r**2 = 0. Calculate r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 2*l = -8172 - 2882, 4*t = 4*l - 11072. Let b = -35965\/13 - t. Calculate the common denominator of b and -8\/11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 6531*r - 6531*r - 35 + 0*r**2 + 12 - 2*r**2. Let v(w) = 5*w**2. Determine v(u(i)).\nAnswer: 20*i**4 + 460*i**2 + 2645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the third derivative of 1\/380*r**6 + 9\/190*r**5 + 25\/228*r**4 + 0 + 27*r - 1\/399*r**7 - 2*r**2 + 2\/19*r**3. Solve n(p) = 0.\nAnswer: -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2360.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 3:53 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 2*r**2 - 6*r - 5. Let m be 0 + 36\/(-4)*2. Let n be (-6)\/(-3) + 0 + m. Let p be 30\/(-12)*n\/10. Let w(b) = -3*b**2 + 7*b + 6. Give p*w(x) + 5*c(x).\nAnswer: -2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add -9.8 and -4528.\nAnswer: -4537.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18851 + 21312. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1408a59 + 0?\nAnswer: 1408a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29 + 29 - 2*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2.8234 * 0.1\nAnswer: -0.28234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 289085 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 1. Let v be 8\/(-6)*(-3)\/1. Suppose -3*f + 29 = 5*r, v*r - 35 = -4*f - 7. Sort -4, r, o in increasing order.\nAnswer: -4, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5 and 19155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 269 + -254. Let q(r) = -r**3 - r - 66. Let s be q(0). Let h = s + 68. Solve h*l = -5*j + u, 0 = j + 3*l + 4 - 20 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-155)\/(-3) + (-2)\/(-6). Let h be (-6)\/(-18)*(9\/(-3) + 30). Let o(s) = 4 + 51*s**2 - 3 - k*s**2 - h*s**3. Determine o(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of 0*b**5 + 0*b**6 + 31 + 0*b**2 + 16\/3*b**3 + 0*b + 0*b**4 - 10\/7*b**7. Find the third derivative of w(l) wrt l.\nAnswer: -1200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -213 in -0.03, 346, -4, 5, -2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1350357708 to the power of 1\/2, to the nearest integer?\nAnswer: 36747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 491528 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, -9, 5 in decreasing order.\nAnswer: 5, 4, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**4 - t**2 + t - 1. Let u(d) = -5*d**4 - d**3 + 9*d**2 - 7*d + 4. Let m(g) = 4*a(g) + u(g). Solve m(v) = 0 for v.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**4 + l**2 - l - 2. Let c(o) = -57*o**4 - 3*o**2 + 3*o - 55. Let m(i) = -c(i) - 3*s(i). Differentiate m(x) with respect to x.\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1904322113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 113 or 82578\/737?\nAnswer: 82578\/737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10440 = 943*w - 13687 + 304 - 2581 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.9?  (a) 4  (b) 0.1  (c) -0.3  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 393990621?\nAnswer: 3, 23, 467, 12227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*f**4 + 6*f**3 - 81*f**2 - 54*f.\nAnswer: 3*f*(f - 3)*(f + 3)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -17*m**2 - 5514*m - 5. Let l(n) = -44*n**2 - 13784*n - 13. Calculate -5*l(c) + 13*o(c).\nAnswer: -c**2 - 2762*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4 - -8241122025179.\nAnswer: 8241122025178.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 45337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.6 from -40151336.\nAnswer: -40151334.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.42 - 6417\nAnswer: -6417.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 3, 4, -0.5.\nAnswer: -17, -0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + 37*p - 5*p)*(4 + 2 - 4) + 27*p - 8*p - 16*p.\nAnswer: 65*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - 38920\/13083) + (-20 + 4)\/336 + 9?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -777 - -777. Suppose 17*m - 5 - 63 = k. Solve m*n - 2*c = 3*n - 6, 3*n = 5*c - 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21 - 27. Let a = i + 7. What is the closest to a in -2\/11, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -1*sqrt(325))**2 - (-1*sqrt(325) + -4*(0 + sqrt(13))).\nAnswer: 9*sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 270\/40 + (-2)\/(-8). Let t(m) = m + 12. Let a(x) = 2. Let u(c) = -11*a(c) + 2*t(c). Calculate the least common multiple of u(y) and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/17 - 1216*t\/17 - 1214\/17.\nAnswer: -2*(t + 1)*(t + 607)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 4*h = 9, -x - 5*h + 6 = 14 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 2*b = -12. Let s(d) = 7*d**2 + 2*d - 8. Let k(o) = 25*o**2 - 20 - o**2 - 4*o**2 - 361*o - 3 + 367*o. Calculate b*k(a) - 17*s(a).\nAnswer: a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h + 2*h - 7*h)*(6*h**2 - 3*h + 3*h) + 0*h**3 + h**2 + 2*h**3 - 6*h**3 + 2*h**3 - 5*h**3 + 0*h**3.\nAnswer: -25*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/3)\/(2\/6). Let b be -3 + (4\/2 - 0). Calculate the remainder when 41 is divided by 2 + b*l - -14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 3*r**2 - 65*r - 41. What is l(20)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 193626 - -5?\nAnswer: 19362b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -295052935 or 1\/4?\nAnswer: -295052935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - ((-9 - -7 - -3) + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -87\/2683714 and -59\/44.\nAnswer: 5367428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 263643502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 289806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14*14\/(-28) + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.11 - 0.05. Let t = -0.04 - j. What is the closest to -2\/3 in -5\/2, t, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 + 31 - 36 - (15 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/11 in -0.2252, -0.1, -13\/6?\nAnswer: -0.2252","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 42 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/((-8)\/(-1) + -5). Solve -18*c - 87 + 15 = t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-3)\/6)\/(3\/(-30)). Suppose x*t + 1255000 = -0*t. What is t rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 2 + 3*d + 0*d + 2*d - 4*d. Determine i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -243, -255, -277, -309?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = -4*w + 5*a, -4*w + 12 = 4*a + 84. Let f be (-6)\/18 + w\/(-3). Let u = -4 + f. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.73589 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -321327 and 58?\nAnswer: 321385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of 49*u**4\/4 - u**3\/3 + 38. What is the third derivative of z(g) wrt g?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -30*2*68\/(-102)*1\/6*-9?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 127 + -121. Suppose -3*m + 14 = 7*a - 3*a, 3*m = f. Let k(s) = 2*s**2 - 2*s + 4. Determine k(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i**3 + 2*i - i**3 - 11*i + 5 - 8*i**2. Let l be t(9). Suppose 2*b + l*f = b + 4, -f = -5*b + 46. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a - 1. Let l(i) = -i**2 - 2*i + 2. Let w(z) = -l(z) - 2*y(z). Give w(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4911018 is divided by 1793.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 571710 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 9844a + -40?\nAnswer: 9840a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4243?\nAnswer: 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 211011010120 (base 3) to base 15.\nAnswer: 892e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 101 and 3835273?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17868902 = 9*w + 37481098. What is w rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**2\/3 + 5270*k - 1594593.\nAnswer: (k - 297)*(k + 16107)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 + 1 + 1)*-2. Let g be r + 1 + -3 + 24. Suppose -6*k = -7*k + g. Calculate the greatest common divisor of 30 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -321 - -323. Suppose -4*q + q - j = -41, -q + w*j + 16 = 0. Calculate the remainder when q is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12509 + 5227 = 739*f for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -5*d + 4*d. Suppose w = -3, -2*w + 128 + d = 5*o. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in -0.5, 4, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.039635 rounded to 4 decimal places?\nAnswer: 0.0396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -2685*c**4 - 18785*c**3 - 10670*c**2 + 32260*c - 120 = 0.\nAnswer: -6, -2, 2\/537, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 492*v**3*y**3 + 8*v*y**3 - 3*y**3 - 126*y wrt v?\nAnswer: 1476*v**2*y**3 + 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 25 in 1, 0, 1\/5, 5296, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 16*y**2 + 19*y. Let l(j) = -25*j**2. Calculate m(l(b)).\nAnswer: 10000*b**4 - 475*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*r**2 + 8*r**2 + 92*r**3 - 55*r**3 - 43*r**3.\nAnswer: -6*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(1053) + (sqrt(1053)*2 - sqrt(1053))) - (2*sqrt(104)*1 - sqrt(104))\/sqrt(8))**2 + -2.\nAnswer: 39323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, 9, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 AM and 7:32 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-28 + 7*h + 40 - 6*h)*(-2*h + 0*h + h) in the form y*h + l + p*h**2 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -2*h**3 + 2*h. Suppose -2*s + 6*s = -8. Let t be b(s). Suppose -2*k**2 + 6*k - 6 + 14 - t + 0*k**2 = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (385\/(-168) - 6\/16) + 3. Sort -0.02, l, 123.\nAnswer: -0.02, l, 123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-98)\/(-882) - (-1)\/9. What is the closest to 1 in f, -1\/4, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1c41e (base 16) to base 13\nAnswer: 408b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 2*o + 8, 4*o - 26 = -5*r + o. Let f = 97 + -88. Calculate the remainder when 39\/r*(-8)\/(-3) is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2856 and 420?\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13\/5?  (a) -3  (b) -0.3  (c) 2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 486588.2 minutes?\nAnswer: 29195292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 - 6. Let h be l - (12\/(-4) - -7). Let h*a**2 + 66*a - 12*a**3 + 4*a**5 + 0*a**4 - 4*a**4 - 58*a = 0. Calculate a.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.5 - 1.5. Let r = 0 - s. Suppose 39*x = 4*f + 41*x + 8, -5*x + 4 = -2*f. Which is the closest to r?  (a) -3  (b) f  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of 10*r**3\/3 - 11*r**2\/2 - 12*r. What is the tens digit of v(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*m - 6*m**2 + 10*m**2 - 6*m**2)*(1 + 1 - 4)*((-2 + 1 + 2)*(m**3 - m**3 + m**3) + 54 - 54 + 12*m**3).\nAnswer: 52*m**5 - 208*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s**5 + 2*s**5 + 20*s**5 + (0*s**2 + s**2 + s**2)*(-4 - 9 + 5)*(0*s**3 + 4*s**3 + s**3).\nAnswer: -60*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 4*u + 15 = 0, 0*s - 2*u + 10 = 2*s. Suppose -q + 387 = -5*x, -2*x - 164 - s = 5*q. Let r = x + 83. Solve r*n = 9*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/(-310)*31)\/((-6)\/20)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of r**3\/12 - r**2\/8 + 7. Factor t(x).\nAnswer: x*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7117.829 rounded to the nearest ten?\nAnswer: 7120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66*p - 14*p - 7*p - 8*p - 15*p - 17*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 + 2*o**2 + o + 31. Let t be 2\/(-10) + 8\/40. What is the tens digit of c(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5048, -10022, -14984, -19940, -24896, -29858, -34832?\nAnswer: -39824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*g**2*v**2*w - 2*g**2*v**2 + g + 58*v**2*w + 22*v**2 wrt w?\nAnswer: -3*g**2*v**2 + 58*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of -3*s**2\/2 + s + 39. Let m be w(-2). Solve 3*h = -3*k - 10 + 25, -5*k + m = -h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 + -13*(-3)\/21. Let v be -2 - (-4)\/8*2. Is v < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -2*q**3 + 2*q**2 - 1. Let y be i(-1). Let r = 3 - y. What is the third derivative of r*k**2 + 0*k**2 - 3*k**2 - 4*k**3 + 3*k**3 wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 p when three letters picked without replacement from {v: 1, j: 4, c: 2, x: 6, p: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**0*k*k*k)**(-4\/13)\/(k**(-2\/3)*k**(-1\/5)))\/(k*k*k**3*k**(-1\/5)*((k*k\/(k\/k**3*k*k)*k*k*k)\/k)\/(k*k**(-1\/3))) assuming k is positive.\nAnswer: k**(-1657\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 - 33*p + 80. Give c(13).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 + t**2 - t + 1. Let q be l(0). Let n(p) = 31*p. What is the remainder when n(q) is divided by 100\/6 - (-2)\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1213 is divided by 237?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 54 + 32. Let i = 100 + w. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 45 = -2*m + 7, -5*d - 4*m + 68 = 0. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 21*y + 109. Give v(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -664*m**2 + 1575. Let s(g) = -g**4 + 1992*g**2 - 4725. Let x(c) = -2*s(c) - 7*v(c). Differentiate x(q) with respect to q.\nAnswer: 8*q**3 + 1328*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 5 + 2 + 1 - 1960*f.\nAnswer: -1960*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 0, 3*n = 5*f - 0*f - 40. Suppose 5*l - 41 - 12 = 2*h, 0 = -4*h - 16. Calculate the smallest common multiple of f and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2)*(-3 + s + 3) + 456*s + 678*s + 2759*s.\nAnswer: 3895*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the first derivative of 11*a**2\/2 + 34. Let z(q) = 3*q. Give r(z(s)).\nAnswer: 33*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 117088.6ng to micrograms.\nAnswer: 117.0886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19090665 is divided by 158?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 1:25 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67392.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 23849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*g**2 + 7 - 39*g**2 - 7.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 215948*h**3*k**3 - 4*h**2*k - 315*k**3 + 452*k + 45 wrt h.\nAnswer: 647844*h**2*k**3 - 8*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33894967.\nAnswer: 109, 149, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 8*c**2 - 229*c + 681. Let a be u(3). Solve a = 37*i + 140 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tjttxttnntx. Give prob of picking 1 n, 1 j, and 2 t.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22 - 17. Suppose -q*v + d + 28 = 0, 6*v - 30 = 2*v - 3*d. Let s = 7 - v. Does -10 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 198*p + 1335. Let c be r(-6). Suppose 3*t - 37 = t - 5*u, 2*u + 23 = t. Calculate the greatest common divisor of c and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1435.5 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 + 1537\/(-112) - -7. Let s be (6\/(-16))\/(12\/46). Let c = s - o. Is 2 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o**2 - 5*o + 5*o + (7*o + o - 38*o)*(-2*o - o + o).\nAnswer: 63*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/6*(2 - (-7 - -3)). Let p be (70\/(-3))\/(3\/(-9)). Let g be (-30)\/p - x\/(-7). Put -2, -5, g in ascending order.\nAnswer: -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 566387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/1238955 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) 0.01  (c) -4\/7  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2923 - 5?\nAnswer: -2928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 561\/2 in -0.3, 5, 0.027, 3\/2, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 2 m when four letters picked without replacement from vvvvvvvvvvmvvmmmvmvv.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x**2 + 6*x**2 - 3*x**2 + 5*x**3 to t*x + f + k*x**3 + a*x**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 105306 and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2384 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 10 = 3*x, 0 = -12*x + 14*x. Let f(a) = a. Let d(l) = 14*l - 2. Calculate n*f(r) - d(r).\nAnswer: -12*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 123 divide 99337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -24*f**3 - 7*f**2 - 35*f + 4. Let t(a) = 12*a**3 + 4*a**2 + 17*a - 2. Determine 4*h(c) + 7*t(c).\nAnswer: -12*c**3 - 21*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 11:18 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1920\/3360 - ((-64)\/7)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 200210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 114903 (base 10) to base 16.\nAnswer: 1c0d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6106*v**4 - 345*v**2*w**2 + 1190789*v*w**2 wrt v.\nAnswer: 73272*v**2 - 690*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.87 - -6.87. Which is the nearest to x?  (a) -2\/7  (b) -0.1  (c) 1\/20  (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from {g: 3, d: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**21*m**(-1\/9) assuming m is positive.\nAnswer: m**(188\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 = 2*c - 11*d, 3*d + 15262 = 15268 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from geegzzzzzeee. What is prob of sequence eg?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of z**8\/168 + z**7\/420 - 197*z**6\/60 - 197*z**5\/120 + 49*z**4\/3 + 49*z**3\/3 - 43*z**2 - 3*z. Find l, given that r(l) = 0.\nAnswer: -14, -1, -1\/4, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-8 + 0 + 3)*(-2 + 9*c + 2) + 0*c - 2*c + c - 3 - 2*c + 3)*(-58 + 114 - 2*c - 58) in the form l + y*c**2 + w*c and give y.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d + 4*k - 12 = 2*d, -3*k = 5*d - 7. Let v be (-4)\/6 - (3 + -4). What is the nearest to d in -1, -1\/3, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*c - 78 + 57 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33 + 5 + -24 - (-19 + 44).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 46*b**3 - 14*b**2 - 2*b - 6465?\nAnswer: 138*b**2 - 28*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/21 and -187\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -6*r + 200. Calculate the lowest common multiple of r and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/(-33) + 134\/11. Calculate the greatest common divisor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7538043 millimeters in kilometers?\nAnswer: 0.0000007538043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8)\/30 + 36\/60. Let z(j) be the first derivative of 0*j**5 - k*j**6 + 2\/3*j**3 - 2 + 0*j + 0*j**4 + 0*j**2. Find the third derivative of z(a) wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the third derivative of 61*n**5\/12 - n**4\/24 - 292*n**3\/3 - 13*n**2 + 10*n. Find the first derivative of g(b) wrt b.\nAnswer: 610*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)*-3)\/sqrt(12) + -2.\nAnswer: -3*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c. Let o(r) = r + 2. Let a = 1 - -13. Suppose 7*h + 0 = a. Calculate h*g(j) - o(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 244 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y - 12, -4*i + 3*y + 5 = -0*i. Let f be 4\/(-8)*(-5 + i). Is f*10*(-1)\/(-6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118 = -23*n + 1998. What is the remainder when n is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of s**7\/840 - s**6\/480 - s**2 + 2*s. Let u(a) be the first derivative of k(a). Suppose u(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + k - 9, 4*k = -0*k + 20. Which is bigger: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 80345, 82218, 84091, 85964, 87837?\n\"Answer: 1873*k + 78472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 130805 or 130807?\nAnswer: 130805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3515872 and 6343856.\nAnswer: 291817376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**2 - b + 1. Let d(t) = t**2. Let y(r) = 5*r**2 + 4*r. Let w(q) = -4*d(q) + y(q). Calculate -2*j(l) - w(l).\nAnswer: l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -0.1, -4, -2, 6 in ascending order.\nAnswer: -4, -2, -0.1, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44574?\nAnswer: 2, 3, 17, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1\/(-1))\/(0 + (-4)\/20). Suppose -5*w - 33 = -3*w + v*d, -4*w - d = 21. Is (-20220)\/(-24) - ((-2)\/w)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a - 490 = 6*a + 2*j, 5*a + 4*j - 1234 = 0. What is the greatest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 340 = 2*m, 0*m = -5*v - m + 439. Suppose -3*n + v = -0*n. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-i - 276 + 130 + 175)*(1 + 0 + 0)*(2 - 2 + 3*i) as z + v*i**2 + h*i and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -282.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.8 - 2.9. Let m be ((-3)\/4)\/((-6)\/(-4)). Let g = 1.1 - 0.1. Which is the closest to g?  (a) 0.4  (b) m  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i**2 - 71*i + 416. Determine t(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(6\/5)\/(s**(-4\/13)*s)*(s**(-6\/7)\/s)\/(s\/(s\/(s*s**(-6\/11)*s))) assuming s is positive.\nAnswer: s**(-14034\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(3 + 1*(1 + sqrt(275))))**2 + -5.\nAnswer: 1000*sqrt(11) + 7270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-63 - -95) + 46 + -35.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13 - -107) + (1 - -1) + (-44 - -3) + 35.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-26)\/247 - 54\/(-152))*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kgeggarg. What is prob of sequence ka?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-3))\/(-2*1\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 7*10\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 5220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002897 to four decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 3*l**2 - 55*l - 40. Let x(b) = -161*b**2. Determine a(x(s)).\nAnswer: 77763*s**4 + 8855*s**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2\/9 + 5642*m - 20002952\/9.\nAnswer: 2*(m - 388)*(m + 25777)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4947\/(-204)*(0\/1 - 16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -5*h - 328. Let y be p(27). Is y greater than -462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3.64?  (a) 1\/2  (b) 76  (c) 5  (d) -2  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 272190326.\nAnswer: 2, 23, 5917181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 9*n**4\/7 - 4611*n**3\/7 - 1764*n**2 - 6180*n\/7 = 0. What is n?\nAnswer: -2, -2\/3, 0, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from ndcdd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 2\/5, -0.08, 2.256, 2, 43?\nAnswer: 2.256","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -3*u + 2. Suppose u*r = -3*r - 5*x + 5, 5*r + 2*x - 17 = 0. Solve -2*t + r*t - 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85805449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -425643 (base 7) to base 15\nAnswer: -16e30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -114, -126, -136, -144, -150, -154?\n\"Answer: x**2 - 15*x - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -5*j**2 - j. Let q be b(-1). Let p(i) = -i**3 - 4*i**2 + 2*i + 6. Let y be p(q). Let a be -5 + 5\/(60\/44). Which is bigger: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + (-2)\/15 - ((-371228)\/(-390))\/(-59). Calculate the highest common factor of b and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 164104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(68)\/(sqrt(4)*-1))**2 - sqrt(17) - (-2 + sqrt(272))) - 6*((1 + sqrt(153))*2)**2.\nAnswer: -3673 - 149*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -17 + 12. Let z = 4 + k. Let s be z*2\/(-8)*4. Which is bigger: s or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 76441.95um to meters.\nAnswer: 0.07644195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-34))\/((r**(7\/4)\/r)\/r*r) assuming r is positive.\nAnswer: r**(-135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10880 and 700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, o: 1, y: 3, n: 4, h: 2}. What is prob of picking 1 z, 1 n, and 1 y?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -457 divided by -506?\nAnswer: 457\/506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**1\/z)**30*z\/(z**2*z)*z**4*z)**(-27) assuming z is positive.\nAnswer: z**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 225*k - 349*k - 448*k + 241*k - 476*k.\nAnswer: -807*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of 1\/6*y**3 + 0*y**2 + 4*y + 0. Let b(c) = 7*c**2. Give b(u(g)).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + r = 5, r + 14 = 5*w + 2*r. Suppose w*o = x - 2, -1 = 3*o - 3*x + 5. Solve o*q = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -323140 + 12?\nAnswer: -323123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = 11*o + 82, 6005413*o - 6005416*o + g = 30 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-6) + 1\/(-3). Let l = 42.62 - 43. Let n = -0.4 - l. Is m less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1499249177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + -3. Let g(r) = -2*r + k + 2 - 2. Let u be g(3). Let s(q) = -q - 2. Determine s(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 196633 times -2\nAnswer: -393266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 311 a factor of 9946361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*f = -20*f + 10. What is the highest common factor of 790 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 0 + 2\/19*v**3 - 2\/19*v**4 + 0*v - 2\/19*v**5 + 2\/19*v**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 4 + (sqrt(704)*-2 + sqrt(704) - sqrt(704)) + ((-5 + -1*sqrt(396))*1)**2.\nAnswer: 44*sqrt(11) + 424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.7?  (a) -1  (b) -0.0364  (c) -0.19  (d) 1\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58*h + 129*h + 3*h**2 - h**2 - 71*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -524 divided by 2\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 divided by -2724?\nAnswer: 3\/908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -370*i**2\/11 - 2271064*i\/11 - 2232.\nAnswer: -2*(i + 6138)*(185*i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4650253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 30\/(-40) - ((-13736470)\/8)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -19*i. Let u(f) = -6*f + 4. Let n(a) = a - 1. Let w(g) = -4*n(g) - u(g). Give k(w(p)).\nAnswer: -38*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.1676 - -0.1676. Which is the third smallest value?  (a) g  (b) -0.09  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*s**3*y**2 - 18283*s**3 - 14*s*y**2 - s - 359*y - 34 wrt y.\nAnswer: -4*s**3*y - 28*s*y - 359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.24033 to 2 dps.\nAnswer: 4.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -240 = -0*f - 36*f + 6*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 117 and 8541.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 665517907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3170016 and 11664.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - 2e9741?\nAnswer: -2e9744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(3\/248)*38418\/102448)\/((-1)\/(-3))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o - 5. Let v be ((-6)\/15*-3)\/(2\/5). Let u(l) = l + 1. Determine v*u(k) + q(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/1450 and 73\/2480.\nAnswer: 359600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 2*a - 3*n, 5*a + 3*n - 39 = 4*a. Calculate the remainder when (-4)\/(-2 + 48\/a) is divided by 45\/6*8\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1408 and 19520?\nAnswer: 429440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*z - 6*z + 3087 = 0. Let f = z + 446. Solve -f = 2*x + 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.5319 - 0.0319. Let f = 13 - 18. Which is the biggest value?  (a) f  (b) -1\/2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68595384 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -d, -4*o + 35 = -2*d - 1239. What is the units digit of o - 1*(-5)\/15*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -110877 divided by -110877\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120*u = 113*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -975, 9, -5, 5, -9.\nAnswer: -975, -9, -5, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -11808, -23699, -35578, -47445?\n\"Answer: 6*k**2 - 11909*k + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(114) - 2*(sqrt(114) + (sqrt(114) - -3*sqrt(114)))) + sqrt(114) - sqrt(114))\/(6*(sqrt(36)\/sqrt(6) + sqrt(6))) + 4.\nAnswer: -3*sqrt(19)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2744.202 centuries in millennia?\nAnswer: 274.4202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*j**2*s*y + 3*j**2*s + 1799*j**2*y + s*y - 179931*s + 1 wrt j.\nAnswer: -8*j*s*y + 6*j*s + 3598*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 2*y**2 - 17*y. Suppose 2 = 11*h - 20. Let v(a) = -2*a**h + 2*a**2 - a**2. Determine u(v(m)).\nAnswer: 2*m**4 + 17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 33, 35, 39, 45, 53?\n\"Answer: y**2 - y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 23 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000200278447 to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 6*k**2 + 313*k + 3083. Determine v(-39).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 5*p + p = 9, 0 = 2*z + 5*p + 12. Is z less than -3\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 147 and 2697?\nAnswer: 132153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 + -4 - ((-25)\/5 + -125). Let y = p - 121. Solve y = -g + 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8\/7, -1, 0, 0.1, -4, 5 in ascending order.\nAnswer: -4, -1, 0, 0.1, 8\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -1190*n**2. Let y(a) = -49*a**2 + 102. Let u(o) = -17*o**2 + 36. Let x(b) = 17*u(b) - 6*y(b). Give w(x(l)).\nAnswer: -29750*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -586555.8000095 - -586557. Let i = -1.2 + t. What is i rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*g = -14*g - 2*f - 66, 0 = 5*g - 4*f - 81. Solve -4*y - g*p + 20*p - 17 = 0, -4*p = 2*y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -2340.\nAnswer: -1\/1170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*f + 5*x - 118, 5*f + 4*x - 219 = 0. Put 3\/2, 2\/5, f in descending order.\nAnswer: f, 3\/2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**2 + 4*s + 1. Let n be u(4). Let o be ((-6)\/8)\/((-5)\/(-20)). Let b be (-3 - o)\/(1\/n). Solve b = -a - 0 + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144131 is divided by 150?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 10*b - 192. Solve 4*h + 4*w = b, 4*w - 7 - 13 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -9*n + 33. Solve 0*t = t + 3*v - 15, -3*t - 20 = -n*v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -5*z**4 - 697335*z**3 + 24414035*z**2 + 165311715*z + 257381190 = 0?\nAnswer: -139502, -3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(52)*2)\/sqrt(4)*4 - (-5 + 4*sqrt(13) + sqrt(13) - (sqrt(13) + sqrt(130)\/(sqrt(40)\/sqrt(4)))).\nAnswer: -11*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1439 and -9?\nAnswer: 12951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 4*v**2 + 28*v = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -36 - -2.63\nAnswer: -33.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 44 = -2*t, -4*z + 2*t - 5*t - 50 = -5*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 234, 557, 1106, 1887, 2906, 4169?\nAnswer: 5682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -251f21 (base 16) in base 9?\nAnswer: -4517152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-1*82\/(-451)*(-11)\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 - 26. What is the nearest to 1\/3 in -3, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-316)\/10*(-85)\/34. Let s = -75 + b. Solve 3*w + j - 1 = 5*w, 0 = -3*w - 4*j + s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 4*m**2 - 5*m + 6. Calculate s(-5).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -393774 by -6.\nAnswer: 65629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -225 - -222. Let x(c) = c**3 + 3*c**2 + c + 4. Determine x(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -126 + 274. Suppose -d = -4*y + 156. Suppose -4*k = -5*h + y, 16 = 3*h - 2*k - 28. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1253 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 1085 = -5*m + 2*h, 5*h - 1065 = -5*m. Let g = m - 1079\/5. Let t be 2\/(-3) - (-8)\/6. Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1367888*f**3 - 24668895*f**2 wrt f.\nAnswer: -8207328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 337889 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 273 and 131159301?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1 + -2.1. What is the nearest to 0 in 5\/3, 5, p?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14452 and 15?\nAnswer: 216780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -121, -259, -395, -529?\n\"Answer: m**2 - 141*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, e: 1, v: 2, z: 2, w: 2}. What is prob of picking 2 z and 1 x?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 133 and 72121.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -13 + 132107755802\nAnswer: 132107755789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 257532 is divided by 565?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 PM and 10:20 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2 - 21\/(-6)) + -2)*(-240)\/24. Solve -l*g - 11 = 17*d - 21*d, d - 4 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + 1.6. Let f = 22.4 - 24. Let i = o + f. Which is the third biggest value?  (a) i  (b) 0.2  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -12998012 and 0.2.\nAnswer: -12998011.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -121 + 131. Solve 5*g - 30 = -f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 5, d: 10, w: 3, n: 2}. What is prob of sequence ni?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1754 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19937 + -10710. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.39  (b) -1\/4  (c) -0.2  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from hevsirhe?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -0.5. Suppose -5*n = 5*f - 15, 22*f - 11 = -2*n + 19*f. Which is the nearest to 7?  (a) 4  (b) n  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 20582414 a multiple of 586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/2, -0.07, 8449?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (13\/18)\/(3\/(-9)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/6*2\/(-4)*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 136 + -15?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 - -5. What is the remainder when 3\/(h*1\/(-2)) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -115071, -230142, -345213, -460284?\n\"Answer: -115071*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 AM and 12:26 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, 1\/60, -0.1, 299 in descending order.\nAnswer: 299, 2\/5, 1\/60, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*d**2 + d - d + 0*d.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 4*m = 0. Suppose 4*l + m*c - 17 = -c, -l + 2*c - 7 = 0. Suppose -q - l + 2 = 0. Which is smaller: q or -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*o = -48 + 34 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 358 and 8?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3013 - 1?\nAnswer: 3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -2*o + 5*c + 8, o = 2*c - 4. Let x(v) = 8*v + 2 + 4 + 7*v. Let w be x(o). What is w rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -11*y + 14*y. Let w = y + 9. Which is the nearest to w?  (a) 3  (b) 0.1  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1335, 1332, 1317, 1284, 1227?\n\"Answer: -c**3 + 4*c + 1332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 10) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2955 is divided by 587.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 minus 11160?\nAnswer: -11161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10110000100 + 11101010011?\nAnswer: 110011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32336)\/20640 - 25\/(-10)?\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 5*sqrt(1568)*2)*-6.\nAnswer: -1680*sqrt(2) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2 - 7*o**3 - 2*o**4 + 4 + 0 + 0*o**4 - 6*o**2 + o.\nAnswer: -(o + 1)**2*(o + 2)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1568 and 24?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40\/6)\/((-51070)\/(-107247)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 54\/(-63) - 217\/(-196)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2123 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of ((-829)\/2)\/(28 + 2521\/(-90))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15 (base 11) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1183 = -4*i + 5*w, -i = -6*i - 5*w - 1490. Let s = 444 + i. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 225*k - 240*k. Let d(h) be the first derivative of 1\/15*h**2 + 10 - 1\/30*h**4 + k*h**3 + 0*h. Let d(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -126 + -7800?\nAnswer: -7926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 8 - 4 - 2 + 11072*a - 7.\nAnswer: 11072*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1408565270 is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -3*j**3 + 3*j + 2. Let x be v(-2). Suppose -5*z + q + x = -0*q, 25 = -5*q. Suppose -2*h + 0*h = -2*s - 10, h - 3 = -s. Solve 0 = z*d + 2 + h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 2*p**3\/7 - 16*p**2\/7 + 10*p\/7 + 4 = 0?\nAnswer: -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 19, 21, 33, 61, 111, 189?\n\"Answer: i**3 - i**2 - 2*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1599?\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2169, 4386, 6655, 8976, 11349, 13774?\n\"Answer: 26*y**2 + 2139*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-40 - 28) + (-21148)\/(-119). Find k, given that -3\/7*k**3 + u - 864\/7*k + 99\/7*k**2 = 0.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 360*a - 2164. What is g(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8242.\nAnswer: 2, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of r**5\/120 + r**4\/8 + 7*r**3\/3 - 21*r**2. Let o(u) be the first derivative of d(u). Give o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -1, 25306, 20, -4 in increasing order.\nAnswer: -4, -1, 12, 20, 25306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3178495910.\nAnswer: 2, 5, 3329, 95479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, 11, 2, 57.\nAnswer: -3, 2, 5, 11, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 360090 and 2720680?\nAnswer: 24486120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (2*(sqrt(171) - (1 + sqrt(171))))**2 + (-5*sqrt(684)*-5)**2 + 1.\nAnswer: 427502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, m: 1, b: 4, l: 7, d: 3}. What is prob of picking 1 m and 1 k?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 2*h. Let x(w) be the third derivative of w**5\/30 + 47*w**4\/24 - w**3\/3 + 173*w**2. Give x(v(d)).\nAnswer: 8*d**2 + 94*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w = -33 + 15. Suppose -2*q = w*z - 132, 4*q + 4*z = q + 197. Which is bigger: q or 65?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 116\/(-2)*6\/2. Suppose 0*p = -p - 2. Calculate the remainder when b\/(-10) - p\/(-5) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of -i**6\/2 + 3*i**2 + 5. What is the second derivative of g(p) wrt p?\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 - 0. Let t be (1 - 1)\/(-2) + y. Is 3 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6326.4*5\nAnswer: -31632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*n - n**3 + 111 + 42165*n**2 - 42164*n**2 - 2*n in the form q*n**2 + a*n**3 + t*n + r and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7 * 8.78652.\nAnswer: -61.50564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 272465563?\nAnswer: 359, 758957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/(2 + 12\/(-4)). Suppose p = -q + 4*k + 26, -q + k + 12 = -17. Suppose -2*h = -100 + q. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = -4*c - 26 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of 7*b**6\/24 + 23*b**5\/20 - 4*b**4 - 5*b**3\/3 - 83. Find c such that v(c) = 0.\nAnswer: -5, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 28 + -7. Suppose 0 = -6*c + r + 15. What is the least common multiple of 5 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 114243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 55649086?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 1860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 134*k**2 - 49*k + 15. Is p(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -130*x + 61*x + 2*x**3 - x**3 + 69*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.629 - -0.099. Let n = 0.5372 + k. Round n to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 40 and 2100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17243261 to the nearest integer?\nAnswer: 4153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/4 + 3646216*x**2 + 14584865*x\/4.\nAnswer: -x*(x - 14584865)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 - 6 + (0 + 0 + 2)*(1 - 1 - 2) + 2 - 2 - 2)*(73 - 3*k**2 - 73)*(-5*k + 2*k - k).\nAnswer: -204*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -1 + (347 - 337) + (-2 - -3 - 22)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 36*l**2 + 30*l - 55. Let f be b(-37). Solve 2*u - 5*q + f = 193, 0 = 3*q - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 194*r**3 + 448071*r - 183*r**3 - 448071*r.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6 + 3278?\nAnswer: 3281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 182\/(-23) + (-225 - -233)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (-20 + 29) - (8 + -15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1768823764?\nAnswer: 2, 2131, 207511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.01*-55.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(304) + 1 + (sqrt(152) + -2*sqrt(152) + sqrt(152))\/sqrt(8).\nAnswer: 1 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 = 738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**4\/2 + 7*d**3 - 15*d**2\/2.\nAnswer: d**2*(d - 1)*(d + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*q - 9 = -11*q + 2*v, 12 = 4*v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 142 = -5*g. Calculate the remainder when g is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23119\/4 - -5780. What is the nearest to 2\/7 in 5, x, 22\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(-1) + 84873\/60. Let p be (1 + (3 - 3))*1415. Let r = n - p. What is the common denominator of 121\/12 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -3*t + 9. Let m be b(6). Let j = -10 - m. Let g be -1 - 1 - (-46)\/24. Is g at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**2\/7 - 1453436*p\/7 = 0. Calculate p.\nAnswer: -1453436, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 87 = 5*z, z - 5*z - 12 = -0*z - t + 45 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/16 and 85\/684736.\nAnswer: 684736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -35165, -5, 94 in descending order.\nAnswer: 94, -5, -35165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 2*i - n, 4*i + 20 = 22*n - 21*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from deeyeededyeeydyegy. Give prob of picking 1 e and 2 d.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 + 6*p**2 - 9*p - 6. Let y be s(-7). Let x = 29 - y. Calculate the greatest common divisor of x and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -32 - 11?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 41.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -128 - -847. Calculate the remainder when w is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 8110, 34382, 78162, 139444, 218222, 314490, 428242, 559472?\n\"Answer: -j**3 + 8760*j**2 - j - 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -134 (base 10) to base 11.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 + 5*h**2 - 16*h - 10. Let x be i(-7). Put -3, -5, x, 16 in increasing order.\nAnswer: -5, -3, x, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4  (b) 2\/9  (c) -2\/15  (d) -2.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from xjxkxfkkxxxfxjukukjj.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 0 = 2*v - 1, 4*v = -2*o - 10. Suppose o*b - 12 = -3. Solve 6 = -s - s + 3*x, -5*x - b = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -85, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/1536*4*-1*1\/(-1)*1.\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1\/3 + -2\/9. Let t = 28.01 - 28.01. Let g be (-2)\/8 + 1\/36. Put g, t, d in ascending order.\nAnswer: g, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 25827, 51685, 77543?\n\"Answer: 25858*t - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6.9 + -7. Let m = 1.9 - q. Let y = 51 + -51.2. Which is smaller: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -72, -89, -106, -123, -140?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*g - 3*x, 3*x = -6*g + 3*g - 6. What is the common denominator of 2 - g*(-111)\/36 and 117\/(-15) - 2*-1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 133857256 to the power of 1\/2, to the nearest integer?\nAnswer: 11570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z\/z**1))**39\/(((z*z**(-4)*z*z)\/z)\/(z**(-4\/7)*z)) assuming z is positive.\nAnswer: z**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/9 + 11*f**2\/9 + 14*f\/9 - 8\/3.\nAnswer: -(f - 12)*(f - 1)*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.01, 18, -3, 0.5 in decreasing order.\nAnswer: 18, 0.5, 0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-47)\/564 - (-277085)\/60 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 0 - (-5 - (-7 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 565742585.\nAnswer: 5, 29, 3901673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 44, 2, 4, -2\/919, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10\/5493 - 104291\/4064820. Calculate the common denominator of y and 35\/27.\nAnswer: 19980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 92775, 185535, 278295?\nAnswer: 371055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 186?\nAnswer: 5\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -18  (b) 1264\/17  (c) -3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -4 - 12 - -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 831458087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and 222.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*m + 24 + 21*m**2 + m - 4*m wrt m.\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 504 = 18*h. Suppose 27 = h*l - 189. Solve -4*w + v - l = 4*v, 4*v + 12 = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, -14, -77, -198, -395, -686?\nAnswer: -1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 2\/7, -6\/11, 4\/5, 0.3.\nAnswer: -6\/11, 2\/7, 0.3, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of s**5\/20 + s**4\/4 + 2*s**3\/3 - s**2 + s. Let y be c(4). Suppose 2*i - 38 = -2. What is the highest common factor of y and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 AM and 11:15 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 78 - 74. Suppose -y*c = -8*c + 20. Suppose -c*w - 5 = -10. What is the lowest common multiple of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14655530 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3  (b) 2  (c) -5  (d) 3  (e) -1\/2  (f) 139\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iap when three letters picked without replacement from {a: 1, i: 2, u: 1, p: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1001*w = 1003*w + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 3)*(-8*r**5 + 5*r**5 + 202*r**4 - 232*r**4) - 3*r**4 - r**5 - 1 + 2*r**4 + 4*r**5.\nAnswer: 9*r**5 + 59*r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a centimeter in micrometers?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3257.\nAnswer: 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4339 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, 96, -3, 6 in ascending order.\nAnswer: -4, -3, -1, 6, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/836 and 55\/2242.\nAnswer: 49324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000009811854 to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of -4*y**7\/105 + 3*y**3\/2 + 2*y**2. What is the first derivative of f(k) wrt k?\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.111492m to centimeters.\nAnswer: 11.1492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - (-3 + 7))\/(1 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2*3\/12)\/5)\/(11\/44)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 100, 203, 308, 415?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 6, d: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.6776 + 1.1776. Which is the third biggest value?  (a) k  (b) 57  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) 1\/6  (c) 0.01  (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {h: 7, f: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = 4*j + 5*s, -690*s + 688*s - 2 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:33 PM and 9:00 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 69 = 73 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2090016 divided by -38704\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 55251170 by -2.\nAnswer: -27625585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 858*y + 2014*y - 85 + 693*y.\nAnswer: 3565*y - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1 and -0.387632664.\nAnswer: -1.387632664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 230.56 - 230.60715. Round c to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + q = 11, 0 = z - q - 1 - 0. What is the third derivative of 3*v**6 - z*v**2 - 2*v**3 - 2*v**6 + 2*v**3 wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 841380 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 439 + -236. Suppose 3*c - 304 = -b, c - b = 3*c - s. List the prime factors of c.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((6*sqrt(190)*1 - sqrt(190)) + sqrt(190)*2*4)\/(4*3*sqrt(70)\/sqrt(7)) + -2)**2.\nAnswer: -13*sqrt(19)\/3 + 3787\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*((d*d**(-1\/2)*d)\/d)\/d)**25)**(-36) assuming d is positive.\nAnswer: d**(-450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, -1160, 14 in ascending order.\nAnswer: -1160, -20, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of 0*u**2 + 2 + 0*u + 11\/3*u**3. Let k(s) = -2*s**2. Calculate z(k(y)).\nAnswer: 44*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 406141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -678 or -4750\/7?\nAnswer: -678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 29*q + 9. Suppose -3*o + 22 = -2*r - 0*r, -3*r = 15. List the prime factors of t(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 6, -7, -42, -111, -226, -399, -642, -967?\n\"Answer: -2*b**3 + b**2 - 2*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2269\/21 - -108. Let u = -9\/11 + 85\/77. Let m = u - v. What is the third smallest value in 5, 0.2, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - 2) + (-12 - (1 + 11 + -13)) - 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2648, -24758, -84764, -201614, -394256, -681638?\nAnswer: -1082708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7 and 168343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 8\/(-66)*3\/8 and 161\/(-66) - (-4)\/6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129333?\nAnswer: 3, 19, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(4)\/((sqrt(72)\/sqrt(3))\/sqrt(12)) + (1 + sqrt(200) - 2*sqrt(2)*-2).\nAnswer: 1 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 357*r**4*s**2 - 4460*r**4*s - 4*r**2*s**2 - r**2*s - r**2 + 6*r - 15*s**2 - 20*s wrt r?\nAnswer: 8568*r*s**2 - 107040*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 631*f = -104*f + 1308 + 1632 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, -3, -1223, -1, 1 in increasing order.\nAnswer: -1223, -3, -1, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7\/62 + -1\/558. What is the biggest value in -2\/9, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 36.7 + -38.7. What is the closest to i in 2\/7, -1\/3, 4, 1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*z - 3*f, -2*z - f + 40 = 3*z. Suppose 4*p = 3*k - 13 - 21, -2*p = 2*k + 10. Let y = p + z. Solve 0 = -t + 4 - y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -3*r**2 - 26575. Let z(p) = 2*p**2. What is a(z(b))?\nAnswer: -12*b**4 - 26575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.5 and 127.13525283.\nAnswer: 127.63525283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 629.5053l in millilitres?\nAnswer: 629505.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1)*(-14536*w**2 + 22145*w**2 - 12154*w**2).\nAnswer: -9090*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 4*u = -3. Let x(j) = 2*j**3 + j**2 - j + 1. Let n be x(1). Let f(c) = -c + n*c - 1 - 5*c. What is f(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -583*g - 30 = -588*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3265750 is divided by 1586.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 18 = -2*i - 46, 2*i = t - 36. Let l = i - -20. Suppose 2*d - l = 5, -3*a + 2*d + 51 = 0. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of -a**8\/1176 - a**7\/735 + a**6\/210 + 5*a**2 + 7*a. Let c(w) be the first derivative of b(w). Factor c(h).\nAnswer: -2*h**3*(h - 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*v + 9 = -31*v - 51 - 0 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -101100011 (base 2) in base 4?\nAnswer: -11203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -53*d + 214. What is g(-3)?\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -4*m**2 + 8*m - 11. Let j(w) = -5*w**2 + 11*w - 16. Let l(p) = -5*j(p) + 7*o(p). Let n(z) = z - 1. What is -l(a) - n(a)?\nAnswer: 3*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00047994976 to 5 dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 5*v - 6. Determine m(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = u - 2. Suppose 20 = 2*x + u*t, -5*x - 4*t - 19 + 87 = 0. Calculate the remainder when 45 is divided by ((-117)\/52)\/((-3)\/x).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2210 divided by 442\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 PM and 5:42 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -5*a + 3. Let k be v(-2). Let o(m) = m**3 - 11*m**2 - 13*m + 11. Let w be o(k). Let i = -51 + w. List the prime factors of i.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1 and 26774?\nAnswer: 26774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (56 - -9) + -33 - 5?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (0 + -3)) + -1561 + 1559 + (-76 - -4).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 4*a - 2, 5 = 2*h + 3*a + 2*a. Let y = h - -8. Suppose y*l = -2*c + 45, 4*l + 3*c = 2*l + 25. Calculate the remainder when l is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -265982 and -264932 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(108\/8)*3. Which is the smallest value?  (a) o  (b) 1  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1422989 at most 1422989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-10)\/(-2) - (-1 + 4). Solve 2*v = -n*p + 14, p = -2*p + 4*v + 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 1 = -3*j. Suppose j = -2*n + 17. Let p(t) = t - 5. List the prime factors of p(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 6\/(-33) + (-642)\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 76*a**3 - 25*a**2 + 30*a + 3. Let h(f) = -79*f**3 + 29*f**2 - 30*f - 4. Let y(t) = 3*h(t) + 4*p(t). Find the third derivative of y(v) wrt v.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -18*(2 - 4\/(-6)). Let s = -34 - r. What is the least common multiple of 20 and s?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 396194.5 millennia?\nAnswer: 39619450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 400884 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 198*c - 20050 + 22624 = 0 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/13320 and 67\/108860364?\nAnswer: 1088603640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0*x**4 + x**2 + 4*x**4 + 3*x**2 wrt x.\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*b - 17*b + 33*b - 4896 = 0. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -2*o**2 - 4*o + 4. Let n be (66\/84 + 12\/(-42))*2. Let u be f(n). Sort 1, 3, u, -1.\nAnswer: u, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -231*h**2*j**2*z**3 - 539*h**2*z**2 - h*j**2*z wrt z.\nAnswer: -1386*h**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the third derivative of 49*j**6\/8 + 253*j**3\/3 + 39*j**2 + 4*j. What is the derivative of q(v) wrt v?\nAnswer: 2205*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -29  (b) 690  (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 243, 357, 469, 579?\n\"Answer: -q**2 + 117*q + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27829874?\nAnswer: 2, 13914937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -5*c**2 - 113*c**3 + 114*c**3 + 4*c + 10*c**2 + 2. Let f be a(-4). Let n be (6\/2)\/1*1. Put -3, -4, n, f in increasing order.\nAnswer: -4, -3, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.05 - 1.15. Let g = f + 0.5. Let k = 0.3 + g. Which is the biggest value?  (a) 2\/9  (b) -0.2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 2*z - 2*w - 20, z = -w - 5. Suppose -d + 5*q - 19 = 0, 4*q = -3*d - q + 23. Let a be 4 - (d - 0\/3). Solve 5*t = z, 3*n - a*t = -0*t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 5 + 6)*(-3*a**3 + 7*a**3 - 3*a**3 - 2*a).\nAnswer: 9*a**3 - 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 48*d + 146. Let c be f(-3). Let w(s) = -999*s**3 + 81*s**2 + 81*s. Let p(v) = 25*v**3 - 2*v**2 - 2*v. Determine c*w(g) + 81*p(g).\nAnswer: 27*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -5578 - 11422. Let p = y - -13519\/4. Find the common denominator of p and -61\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.32 minus 342?\nAnswer: -341.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 2*b**3 + 19*b**2 + 7*b - 23. Calculate the remainder when v(-8) is divided by 52.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53 = -6*u - 35 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 7*x**3 - 5*x**2 + 10*x + 7. Let s(a) = -3*a**3 + 2*a**2 - 5*a - 3. What is -5*s(u) - 2*t(u)?\nAnswer: u**3 + 5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 2\/9, -545, -0.3, 1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1910991449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 + 2 = -10*d. Let i(p) be the first derivative of -2\/5*p**2 - 6\/25*p**5 + 1\/5*p**4 - d + 8\/15*p**3 - 2\/5*p. Suppose i(x) = 0. Calculate x.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -2*t**3 - 10*t**2 - 5*t - 4. Let n be q(-8). Suppose 0 = -2*o + 2*s + 190, -5*s = 4*o - s - n. Suppose 30*p - o = 25*p. Which is greater: p or 19?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-8 - (-104)\/16)\/(18\/570) and 3\/572.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes before 4:10 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 2\/9 = 467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 3*t - 12. Let h be t*3*8\/24. Suppose 135 - h = 4*j. What is the remainder when 85 is divided by j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7312\/1371*(-60)\/16.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-224)\/10)\/(-4)*-5. Let y = c + 36. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/(24\/3 - 9))\/1. Sort g, 10, 16.\nAnswer: g, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.71, 1, -0.1, -2 in increasing order.\nAnswer: -2, -1.71, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 33?  (a) -1  (b) 5  (c) 0.1  (d) -4  (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:20 PM and 11:16 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 27 - 26. Let k be n\/(76\/(-20) - -4). Solve k*w = -i, -4*w = -3*w - 3*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/1336 and -61\/52.\nAnswer: 17368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 631, 2641, 6003, 10723, 16807?\n\"Answer: g**3 + 670*g**2 - 7*g - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 819540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 105 - 890. Let q = s + 297. Round q to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.0162, -0.1 in increasing order.\nAnswer: -0.1, -0.0162, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/5454*7*126\/147.\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*q + 13*q - 124563*q**2 - 24*q.\nAnswer: -124563*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 - 15*u**2 + 47*u - 52. What is f(10)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.6?  (a) 2  (b) -1\/8  (c) 109.8  (d) 0.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 3*u = 102, -1 = -4*u + 3. Suppose -y*r + 28*r - 637 = 0. Is r at least -92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43261 is divided by 195.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000001158 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llslsllsllllllllsl. What is prob of picking 1 s and 3 l?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/6)\/(4\/(-12)). Find the common denominator of 48\/(-10) + b\/2 and (-6)\/20*(-1 - 150\/(-9)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 3027*s - 13073. Calculate the remainder when h(12) is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 227994673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3 and 197762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of -2\/3*r**6 + 0*r**4 + 9 + 0*r**3 + 0*r + 0*r**5 - 3\/2*r**2. Find the second derivative of j(f) wrt f.\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 AM and 12:43 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12.8 - 169.2. Let g = -232.2 - r. Let v = -50 - g. Which is the second biggest value?  (a) v  (b) 3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 191538 and 36.\nAnswer: 383076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 103 + (5 - 378\/21). Calculate the greatest common divisor of a and 2445.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -11*a**2 - 3*a + 6. Let r(m) = 21*m**2 + 5*m - 11. Give -5*i(c) - 3*r(c).\nAnswer: -8*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 71.943 + 0.057. Let p = s - 69. Suppose -2*n = 3*h - 17, 4*n - 5*n + 4*h = 19. Which is the smallest value?  (a) n  (b) 0.2  (c) 9  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qfrqqgqgr. Give prob of picking 1 g and 1 f.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2010010020121 (base 3) in base 10?\nAnswer: -1124296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the first derivative of k**3\/3 - 3*k**2\/2 - 4*k - 1. Let c be 2\/((-6)\/15) - 0. What are the prime factors of f(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j**4\/4 + 5*j**3\/4 - 5*j**2\/4 - 5*j\/4 + 3\/2 = 0. Calculate j.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 5*m**3 - 16*m**2 - 5*m + 9. Let n(a) = -a**3 + 3*a**2 + a - 2. Let o(x) = 11*n(x) + 2*r(x). Calculate o(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 695 + 901 = 114*s. What is the remainder when 204 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 153514.\nAnswer: 153514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 242 - 156. Suppose -2*o = 2*o + 216. Let i = o + k. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-4407)\/(-52)*((-60)\/(-14) - (-4)\/(-14)) is divided by 112?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*s = 18*s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -108 * -10979\nAnswer: 1185732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + 1. Suppose 2*y + 4*b + i = 0, y - b = 3*b + 21. Suppose 0 = -y*q - 132 + 462. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (-6 - (50 + -58 - (-1 + -7))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 89000099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -6.7. Let m = 129 + -104. Let z = m - 30. What is the nearest to h in -0.5, 0.4, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2087446621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from oaoooaoooooa.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00129 rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-17)\/(51\/18) + 21\/3. Calculate the highest common factor of 68 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**2\/7 - 42204*y + 1039020276.\nAnswer: 3*(y - 49238)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 123324987 a multiple of 987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-23)\/(-7) + 4\/(-14). Let t be 2\/(-7) - (-140)\/(-196) - -343. Suppose 342 = 2*n + t. Solve -3*f + k + 0 = n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 782 a factor of 118720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1504407, -6017621, -13539645, -24070479, -37610123, -54158577?\n\"Answer: -1504405*t**2 + t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d**3 - 2*d**2 - d. Let n be a(2). Is -0.13 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 > 872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 48*((-6)\/8)\/((-18)\/14096). What is f rounded to the nearest 100?\nAnswer: 28200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2 - 15069*a + 30150.\nAnswer: -3*(a - 2)*(a + 5025)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of 2*z**4\/3 - 12*z. Let k(y) be the first derivative of -y**3\/3 + 30. Calculate i(k(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -31*t - 235. Let u be g(-8). Let x(y) = 3*y - u*y + 4*y + 5*y + 9. Give x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 1.9  (b) -20.17  (c) -17  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 162 + 126 = 0. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*(-1 + (-5)\/(-10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/9*1)\/((-1)\/966). Let x = j + -319. Calculate the remainder when 4 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 165066 and 1530612?\nAnswer: 16836732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61*i**3 - 62*i**3 - 927264*i + 927264*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 5:59 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33820 is divided by 2112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 775 and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.3 - -24.5. Let j = 27 - t. What is the third biggest value in -1\/10, j, 1\/3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 59 = -291. Let l = o - 42. Does 16 divide (-30)\/(-10)*(0 + l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12411 - 0?\nAnswer: 12411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 148 by -44.\nAnswer: -37\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11*336\/(-231))\/(5\/(-5))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, 446, -3, -4, -10, 13.\nAnswer: -19, -10, -4, -3, 13, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 + 4*b**2 - 13*b - 9. Let q be l(-6). Sort 0, 5, q in increasing order.\nAnswer: q, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = j - 14. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -193\/3992280 and -145\/8783016.\nAnswer: 43915080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -973342833*f**2*r**2 - 104*f**2*r - 8*f**2 + 35084 wrt r.\nAnswer: -1946685666*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59444592, -118889182, -178333772, -237778362?\nAnswer: -297222952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2*m**4)*(-4 - 2 + 4) - 143*m**4 - 15*m + 15*m + (2*m + m**2 - 2*m)*(m**2 + 2*m**2 - 2*m**2) + m**4 + 2 - 2 + 0*m**4 - 3*m**4 + 2*m**4.\nAnswer: -138*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 134244740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 37, 48, 81, 148, 261?\n\"Answer: 2*y**3 - y**2 + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3763 by -71.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 954*k + 39510 - 29538 + 51084 for k.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1649165 is divided by 2541.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 42 + 29 = 3*u, 20 = u + 5*f. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.1 and -3928 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 8*m**2 + 21*m + 1. Let x(y) = 3*y**2 + 7*y. Let f(q) = -4*g(q) + 11*x(q). Let u be f(7). Let o be (-3 - u)*0\/2. Solve o = -2*v + 1 + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*m - 3*m - m)*((2 - 2 + 2)*(4 - 6 + 4) - 5 - 2 - 7) to b*m + j and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -12905 at least -12916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 334?\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (49*g**2 - 27*g**2 - 41*g**2)*(2*g**2 + 50*g + 50*g - 103*g).\nAnswer: -38*g**4 + 57*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2322, 4623, 6904, 9165, 11406?\n\"Answer: -10*x**2 + 2331*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*h + 4. Let m(p) = -3*p**3 + 3*p**2 + 5*p - 3. Let n be m(h). Let s = 298 - n. Round s to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 2*b + 5 = 0, -2*l - 4*b + 0*b = 10. What is the nearest to -1\/3 in -0.3, 3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 40530 = -4*r. Round r to the nearest one hundred.\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2817 divided by 12.\nAnswer: -939\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 2*u + 2 - 7*u + 4*u. Let v(y) be the first derivative of -5*y**2\/2 + 8*y + 9. Calculate 2*v(d) - 9*z(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 1 + 6 + 3 - 2 - 2 + 2 + 0 - 1 + (-4 + 0 + 3)*(2 - 4 + 3) + 3 - 2 + 5)*(0*q - 8*q - 28*q) in the form v + n*q and give n.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*s**3 - 7*s**3 + 9*s**3 + s**3 + 2*s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c\/(c*((c**(4\/13)*c*c)\/c)\/c))\/(c*c**7*c) assuming c is positive.\nAnswer: c**(-95\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**2 + w - 1. Let q(z) = -8*z**2 + 6*z + 1. Calculate 5*j(g) - q(g).\nAnswer: 3*g**2 - g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 101761*c**2 + 126479*c wrt c.\nAnswer: 203522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -402344 (base 6) to base 3\nAnswer: -1121110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 + 16. Let r(w) = -3 + 38*w - 15*w - 4 + 4. Let q be r(3). Calculate the greatest common divisor of b and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*c - 181 = -273 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:44 PM and 9:48 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -7*d + 2. Let b be g(-4). Suppose 2*s = 20 + b. Suppose -11 = 4*w + 5*z, 3*w = -357*z + 355*z + 4. Solve k - w*k = -s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74695629 is divided by 2932.\nAnswer: 2929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from bbttbtbbbttbbbbbtb.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 2*x**3 - 3*x**2 + x + 15. What is the units digit of v(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23*j**2 + 12*j**2 - 343834*j**5 - 2*j**3 - 309*j**6 + 343834*j**5 wrt j?\nAnswer: -37080*j**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 66, -0.4, 3.\nAnswer: -0.4, -0.1, 3, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 132 and 594.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.9?  (a) -5  (b) -677  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from phlhhltlhllhlhplllh?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 AM and 1:14 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: db6 (base 14) to base 12\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -1  (b) -2\/53  (c) 2.8  (d) -452  (e) 3  (f) 0.1  (g) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of 84289 and -264.6.\nAnswer: 84024.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + 12*j**2 + 15*j - 29. Let r be s(13). What is the units digit of ((-2)\/r + (-174)\/(-36))*8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 8 = -4*k + 28, -2*k = -3*c - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*v = 3*a + 23*v + 2, 0 = -30*a - v - 59 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 512 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 127 + 7?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 189901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -0*v + 15. Suppose 4*y + 1 = -v. Let s be -1 + (-2 - y) - -21. Round s to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*i - 130 = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -8. Let t(d) = r*d - d + d. Let o(j) = -j. Give t(o(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 + 9*i**2 + 9*i + 13. Let z be j(10). Let g be 99\/21 - 6\/(-21). Solve -9 = -2*p - g*m, -3*p + 4*p = 5*m - z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/(26\/24) - (18\/(-9) + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/45*-5)\/((-68)\/(-102)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-14)\/21)\/((-1)\/3). Suppose -5*s - m + 2 = 0, 5*m + 16 = -s + h. Let y be (2\/(-12))\/(s\/4). Is 0.1 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 10*m - 13*m - 12, -m - 2*h = -7. Sort m, 3, -643, 2, 4 in decreasing order.\nAnswer: 4, 3, 2, m, -643","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57 (base 9) to base 7.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 14 = 2*q, k - 3*k = 2*q + 6. Let n = -10 - -14. Let h be 14\/4 + n\/8. What is the nearest to 0.1 in h, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -10*q + 1. What is the remainder when (-410)\/(-14) - (-38)\/(-133) is divided by o(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2 and -2.1.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3928135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4877329883 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the third derivative of -d**5\/30 - d**4\/4 - 5*d**3\/6 + 10*d**2 - 3. Let g(u) = 3*u**2 + 11*u + 9. What is 4*g(t) + 7*x(t)?\nAnswer: -2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10101000101110011 (base 2) to base 10.\nAnswer: 86387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 3 b when four letters picked without replacement from bwbbbbbbwbbb.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.98334 times 0.1?\nAnswer: 0.598334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-3))\/((-3486)\/(-270) + -13)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -80.9, 0.3, -4, -1\/33, 2, -1\/3.\nAnswer: -80.9, -4, -1\/3, -1\/33, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 859 - 842. Suppose l*w - 12117 = 3166. Does 31 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -49*a**3 - 5*a**2 - 2*a + 5. Let x(g) = -24*g**3 - 2*g**2 - g + 2. Give 2*u(r) - 5*x(r).\nAnswer: 22*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1486*t**5 + 29*t**2 - 5*t wrt t.\nAnswer: -89160*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 160 and 12768?\nAnswer: 63840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*g - 2 - 4*g**3 + 61*g**2 + 1 - 63*g**2 - 1 + 2*g**3 in the form m*g + c*g**3 + t*g**2 + h and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21600 = 6*a - 2*a. Round a to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, h: 2, q: 2, x: 1}. What is prob of sequence xhq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -57, -423, -1393, -3261, -6321?\nAnswer: -10867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1831620 and 1526350?\nAnswer: 9158100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17.24805 litres to millilitres.\nAnswer: 17248.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = q - 14, 0 = 3*q - 2*q + x + 1. Is (-129)\/(-4) + q\/(-8) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + 6\/(-6) + 2*(-4)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 + q + 8. Let n be o(0). Let h be (4\/n)\/(2\/12). Which is greater: h or -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 683*x**3 + 201*x**3 - 212*x**3 + 631*x**3 + 95*x**3.\nAnswer: 1398*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 82 and 116?\nAnswer: 4756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/1148860 and 3\/67580?\nAnswer: 1148860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fffbbfffbfffbf. What is prob of sequence bffb?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3921.952 years to decades.\nAnswer: 392.1952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 781.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-1 + sqrt(99) + -1 - sqrt(99)))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1000000 (base 2) to base 3\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 8 - 23. Let m(l) = -11*l**2 - 27. Let r(i) = -23*i**2 - 54. Let t(y) = p*r(y) + 5*m(y). Differentiate t(z) with respect to z.\nAnswer: 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 17 + -165?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -26.21 - -26. Let f = -0.09 + o. Let x = -0.2 + 0.2. Put x, f, -3\/5 in descending order.\nAnswer: x, f, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1820201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8 + 148?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 222, 304, 226, -12?\n\"Answer: -80*z**2 + 322*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 62 and 12669892?\nAnswer: 785533304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16830 is divided by 70.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2004)\/(-3006)*(-9)\/93*-1.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -479, -962, -1443, -1928, -2423, -2934, -3467?\n\"Answer: -b**3 + 7*b**2 - 497*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.7 + 2.6. Which is the biggest value?  (a) -6  (b) m  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12961654 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**5 - 16*t**4 - 84*t**3 + 416*t**2 - 320*t.\nAnswer: 4*t*(t - 4)**2*(t - 1)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.007, 6.1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (22\/(-20))\/((-4)\/8). Suppose 5*g = 4*n + 10, 11*g + 5*n + 6 = 14*g. Let u = g - i. Which is the biggest value?  (a) 9\/7  (b) u  (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 divided by 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-42*a**3 - 307*a**2 + 307*a**2)*((2 + 1 - 2)*(-2*a + 3 - 3) + 9*a - 9*a - 6*a) in the form s*a**4 + c*a**2 + g + t*a**3 + i*a and give s.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 19.087 * -20.78\nAnswer: -396.62786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -22808534.7 rounded to the nearest 10000?\nAnswer: -22810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqdqqpqqqqqqqpqqq. Give prob of picking 2 q and 1 d.\nAnswer: 91\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 1:44 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -1117.4 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -222277 (base 8) to base 3\nAnswer: -10210210200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.205  (b) 1.7  (c) 0.2  (d) 0.1  (e) 1\/2  (f) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -1000, 1.8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.9406 - 1045.0906. Let h = r - -1036.83489. Let q = -7.31 - h. Round q to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 471 - 902. Is r at least -430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 117 + (92 - -20 - 174).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1758, 3517, 5276?\nAnswer: 7035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 2, -10666 in ascending order.\nAnswer: -10666, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v + 3*l - 25 = 0, -2*v + 0*v + 2666*l = 2671*l - 32 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 PM and 1:13 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 4\/1075  (b) -9365  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -66\/5 - -68\/5. Let c be (-3)\/54 - -5*(-6)\/180. Suppose -4*p = p + 20. What is the closest to -2 in p, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*v + 844 = 778 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**2 - m + 2. Let s(y) = y**3 - 2*y**2 - 2*y - 2. Let j be s(3). Let d be q(j). Solve d = 3*r - 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 578515.1 days?\nAnswer: 49983704640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4042253 (base 6) to base 10\nAnswer: 192345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3 + 5*u**2 + 5*u + 7. Let n be f(6). Let v = 11\/32 + -17\/96. Which is the fourth smallest value?  (a) -4  (b) v  (c) -5  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40\/3*(-210)\/(-40) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -36 - -39. Solve 0 = n + 6 - i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 667740 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1652288 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/5*(-19)\/((-190)\/50).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14 + 16. Suppose 5*c = z*t - 63, -41 = 2*c + 3*t - 12. Which is smaller: c or -9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -4, 15, 14, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10\/3*o + 5\/3*o**4 + 10\/3*o**3 - 5\/3*o**2 + 0 = 0 for o.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = 17*a - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-21) - (-12)\/42)*12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67160 is divided by 2798.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 67 - 8*k**2 + k**3 - 35 - 31 + 13*k. Let p be l(6). Suppose 0 = 3*s - p + 10, -89 = -2*z + 3*s. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -4*t - 1. Let h be o(-1). Let k(g) be the first derivative of -g**h - g**2 - 3*g**3 - 5*g + 2*g**2 - 14 + 4*g. What is k(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 57.6853ml?\nAnswer: 0.0576853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -24 + 40. Find the second derivative of -26*x**t + 82*x - 9*x**3 - 119*x + 9*x**3 wrt x.\nAnswer: -312*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-169)\/((-7774)\/(-690))*14\/10\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54, -179, -386, -675?\nAnswer: -1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -109 + 123 - (14 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 + 7.7. Let b be (-84)\/(-48)*45\/14. Let c = b - 11\/2. Sort u, c, 4 in ascending order.\nAnswer: u, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-5*(sqrt(19) + 1 + sqrt(19))**2 - (sqrt(57)\/sqrt(3)*-3 - sqrt(19))**2) + (sqrt(1900) + 0 + 3)**2 + (sqrt(1900)*2)**2 + 2)*-5.\nAnswer: -44095 - 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 11 = -5. Suppose r + q*r - 15 = -5*z, 0 = -r + 3. Is 0 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2344.1 - -1?\nAnswer: -2343.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 3*n = 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -24268 - -24266. Let l = 7 + -1. Let a = -5.4 + 5.2. What is the smallest value in l, -0.5, a, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -61571*i - 38. Let z(h) = -24629*h - 16. What is -5*d(o) + 12*z(o)?\nAnswer: 12307*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 40475310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61651?\nAnswer: 61651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 182 - 2009. Let c = b - -3518. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (13*t + 8*t - 15*t)*(97*t**2 + 22*t**2 + 36*t**2) to j*t**2 + h*t**3 + z*t + p and give h.\nAnswer: 930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -97685*t + 97684*t - 4*b, 2*t + 5*b = -16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/1570 and -43\/100.\nAnswer: 15700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 6*j - 9)*(0*j - 10*j - 19*j) + 2*j**2 + 2*j**2 - j + 0*j**2 - 2.\nAnswer: 178*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16.279999179 + -16.28. What is s rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - -9. Let r = i + -13. Let o(u) = u + 2*u**2 - 4*u**2 + 4 - 3. What is o(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16745.4757 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3013282271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = 3*c - 5*a, 2*a + 30072 = 30068 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.19, -4, 3\/4 in ascending order.\nAnswer: -4, -0.19, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4571628956?\nAnswer: 2, 67, 17058317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 3*p + p - 20, 4 = 4*v. Suppose -2*w + 3 = -a + 8, a - 9 = p*w. Let i be (-6 - -850005) + w\/(-2). Round i to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 215482 (base 9) in base 16?\nAnswer: 1f6be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29, 298, -0.7, 2, -4, 1\/4 in increasing order.\nAnswer: -4, -0.7, 1\/4, 2, 29, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/59670 and -77\/2040.\nAnswer: 238680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 471468862 a multiple of 3582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/4872 and 7\/2088?\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 3*z + 107158, -i + 5*z = -2*i + 21426. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -994*w + 33213 - 33213 to the form k + v*w and give v.\nAnswer: -994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/8, 5, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/6 and 41\/5715.\nAnswer: 11430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 32*d - 69*d - 222 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 - 2*u + 3. Let n(r) = 3*r**2 - 7*r + 8. Let m(c) = -3*n(c) + 8*w(c). Let d(i) = -2*i. Give d(m(t)).\nAnswer: 2*t**2 - 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 2*p = -10. Suppose 0 = -s + 5*z + 116, 3*s - 134 = p*z + 214. Suppose 2645 = -s*r + 121*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - 100111110000010?\nAnswer: -100111110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from phdhdpthddddxhd. What is prob of picking 1 d and 1 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2\/2 + 2235*q - 234101\/2.\nAnswer: -(q - 4417)*(q - 53)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 3966531*a**3 - 7933069*a**3 + 3966539*a**3.\nAnswer: a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*j**2 - 15*j**2 + 23*j**2 - 8*j)*(2*j**2 - j**2 + 4*j**2) as c*j**4 + h*j + g + i*j**2 + d*j**3 and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 125 - 10. Suppose 0*t = 5*t - v. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -247*w - 2725. Let s be l(-15). Calculate the greatest common factor of 2695 and s.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12944 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/34 - 16188\/45866?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 615, 616, 617?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.45 - 0.92. Let g = 0.17 + h. Let w = 2.86 - -0.14. Sort w, g, 1\/2 in decreasing order.\nAnswer: w, 1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19 by -27.\nAnswer: -19\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 13033115 (base 6) in base 4?\nAnswer: 1213220213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.02267 + -145.63267. Let w = -147 - u. Round w to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - 0) + (-7 - -14 - -6) + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 9:51 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 10 - (5 + 3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1021002 (base 3) to base 6\nAnswer: -4132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - 0. Let k be 1*(j + -1 - -16). Suppose 0*h + 3*h + k = 0. Sort 5, 0.4, h in descending order.\nAnswer: 5, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 38.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 3:13 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 0, 2, 0.04, -1\/5 in descending order.\nAnswer: 2, 0.04, 0, -1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8768.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 5*h - 164. Let s be l(32). Suppose 2*f = 1 - 7. Put 4, s, f, 1 in descending order.\nAnswer: 4, 1, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/6 and 49\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 1 = -y, 3*y + 3 = 3*u + 6. Let p = y + 1. What is the units digit of (-1)\/(p\/3 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of -l**2 + 1\/18*l**4 + 2\/9*l**3 + 255*l + 0. Factor f(n).\nAnswer: 2*(n - 1)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 13*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -405, -814, -1473, -2376, -3517, -4890?\n\"Answer: j**3 - 131*j**2 - 23*j - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 10, s: 4}. Give prob of sequence tt.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 31  (b) -0.3  (c) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 21 * -7.039.\nAnswer: -147.819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 67 - 49 = -16 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 132\/496901 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tfs when three letters picked without replacement from {s: 1, l: 2, c: 2, f: 3, t: 4, a: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (112\/(-77))\/(-8) + (-130)\/(-11). Which is smaller: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53138.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.05 and -2282.3.\nAnswer: -114.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/4 - (-15)\/2. Suppose 5*y = -1 - 4, j - g = 5*y. Suppose j*t = -0*t + 4. Solve 0*q + t = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-9) + 114\/27. Let b be g - (1\/(-1) + -1). Suppose b = -2*v + 18. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*k + 21*k = 33. Which is smaller: k or 1\/5409?\nAnswer: 1\/5409","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 742 and 364537551?\nAnswer: 729075102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 208 times -29.9\nAnswer: -6219.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 6*z - 8. Let d be v(2). Let k(c) = 6 - c**2 - 33*c - d + 5 + 10*c. What are the prime factors of k(-15)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*n + 2*n - n + 2*n + 2*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the third derivative of -y**5\/60 - y**4\/2 - 5*y**3\/6 + 7*y**2. Suppose 0 = 2*j + j + 30. Does 5 divide q(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19489 is divided by 342?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 2 i when four letters picked without replacement from {i: 7, z: 7}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 83814145111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-30)*-30*-9*(-16)\/(-288)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (((sqrt(162) - (sqrt(162) - (sqrt(162) + 2 + (sqrt(162) - (sqrt(162) - (sqrt(162) + -1)))))) + sqrt(162)*-2*-2)*1 + 3)*-2)**2.\nAnswer: 864*sqrt(2) + 23344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/33 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11405344.062 - -11395917. Let j = -9441 - o. Let f = 14 + j. Round f to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16776 and 16?\nAnswer: 33552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5468*y = 5451*y. Let r(j) be the third derivative of 0*j**4 + 13*j**2 + 0 - 1\/20*j**5 + y*j + 0*j**3. Let w(m) = m. Determine w(r(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/6*(-18)\/4. Let l(b) = -2*b + 5. Let q be l(f). Suppose 2*o + 42 - 48 = 0, -4*x = o - 479. Calculate the highest common factor of q and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49 - (60 - 27) - (7 + 0)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/6)\/((65\/(-20))\/(-13)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.5 - 1.5. Which is the nearest to 1?  (a) 0.3  (b) 2\/7  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -0.147  (b) -2\/3  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13.9 - 1.8. Let i = -15 - a. Let x = -0.7 + i. Which is greater: x or -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18 + 17. Let h = -1.1 - w. Do h and 10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4525*j**3 - 4466*j**2?\nAnswer: 27150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - -3)\/(-4) - -10. Suppose -l = -o - 5. Let r = 25 + l. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-8)\/(-6))\/((-2)\/42). Let b = 27 + q. Is b - -2 - (-122 + -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 divided by -4?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 1065 = -369 - 372. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 + 11. Let t = -0.11 - -30.11. Let s = 29.8 - t. Which is the closest to s?  (a) v  (b) 0.1  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/5, -5449, 2\/191, 29?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 360 and 11?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 756, 1529, 2318, 3129, 3968, 4841, 5754, 6713?\n\"Answer: h**3 + 2*h**2 + 760*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes before 2:51 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -870*f**2 + f + 1. Let q be t(-1). What is the remainder when q\/(-9) + (-3)\/(-9) is divided by ((-34)\/(-3) + -11)\/((-1)\/(-147))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-95)\/19)\/(5\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5125 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**5 + q**3 + q. Let t(y) = 30*y**5 + 5*y**3 - 29*y. Let v(u) = 5*d(u) - t(u). What is the second derivative of v(b) wrt b?\nAnswer: -500*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -806*x**2 + 2174*x**2 + 1197*x**2.\nAnswer: 2565*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 5*a = 11, 2*t = -2*a - 2*a + 22. Let z = -3 + t. Let w = z - -1. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1067567305 - -4?\nAnswer: 1067567311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 82 + -159\/2. Let b(h) = h**2 - 6*h. Let p be b(5). Let u(f) = f**2 + 6*f + 7. Let w be u(p). Are w and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1393 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6131.445ng to grams.\nAnswer: 0.000006131445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1020 + -2313?\nAnswer: -3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 3*u**3 + 32*u**2 - 29*u + 222. Determine m(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 8:30 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/(-1 + 2 - (2 + 0)). Suppose 0 = j - 1 + 6. Sort s, -2, j in decreasing order.\nAnswer: s, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rtrrrgrdgrt. Give prob of picking 1 t, 1 r, and 1 d.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9151?\nAnswer: 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4.7 and -1.6608156.\nAnswer: -7.80583332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 1 - (-2685 + 2714).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 3*u - 10. Suppose 0 = -8*r - 6 - u. Let p = 3.9 - 4. What is the third biggest value in p, -3\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 4 + -1 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-68)\/8 - (-63)\/7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 21*z + 187. Let d be (-6594)\/33 - 2*(-1)\/z. Is -202 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.4806 + -1.47941848. What is u rounded to five decimal places?\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 2415725064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 54269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/2*12\/(-30). Which is greater: -0.072 or a?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/24255*5*1204\/86?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 510 and 14810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1000001110 (base 2) to base 15\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 < 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -43 - 711?\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 112*a**3*y + 1433*a**3 - a**2*y - a**2 - 998891*a + 11*y wrt a?\nAnswer: 672*a*y + 8598*a - 2*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -558378*f**3 + 4*f**2 + 2*f + 18137?\nAnswer: -3350268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15942716 + 6109416. Round t to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -157 + d - 3*d + 161 + 3*d. Give g(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13 - (14 - (10 - -1))) + (3 - -78) + -8.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4391496 - d**3 - 4391496.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 191450?\nAnswer: 2, 5, 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 27 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1762348.744 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, z: 1, u: 1, a: 3, w: 2, q: 4}. Give prob of sequence wqw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2648450749.\nAnswer: 7, 378350107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 6*q - 4 = 0. Let t(x) = 3*x**2 + x. Let k be t(q). Solve 4*y = k*y - 4*r - 16, -5*y + 2*r = 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -11*f**2 - f + 6. Let j(u) be the first derivative of -13*u**3\/3 - u**2 + 6*u + 41. Let g(o) = 5*j(o) - 6*m(o). What is g(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19222 (base 10) to base 12\nAnswer: -b15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/46075?\nAnswer: -2\/46075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 154 divided by -77\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 r, and 2 t when four letters picked without replacement from {r: 3, t: 7, k: 4, e: 4}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -2451.45479 to 1 decimal place.\nAnswer: -2451.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100 - 79*l**2 + 3*l**3 - 14048*l + 14048*l.\nAnswer: 3*l**3 - 79*l**2 + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 179, 0, 13 in decreasing order.\nAnswer: 179, 13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 86193.96km?\nAnswer: 86193960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -9, -29, -49?\n\"Answer: -20*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5, g: 2, n: 6, x: 3, u: 2, s: 1}. What is prob of picking 4 n?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 3*k + 3. Give q(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2824 and 752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 1. Let a(c) = -c**2 + 9*c - 3. Let l(x) = a(x) - 3*g(x). Let f be l(8). Solve 0 = n - f*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmomoomommmommoo. What is prob of picking 3 o?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -40\/153157 and 89\/3662450.\nAnswer: 84236350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 86562 and 5706.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that k**4\/2 - 47*k**3\/2 - 194*k**2 + 262*k + 432 = 0.\nAnswer: -8, -1, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2*p**2 - 9*p + 8. What are the prime factors of n(7)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 57\/2 of a century?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -9*h**2 + 2*h + 28. Give c(-5).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3044052966 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: Suppose -a + 6 = d, d + a - 10 = -2*d. Suppose -3*m - d*m = 0. Is m\/7 - (-1 + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -49 - -126. Let g = 77.0038 - i. Let z = 23.2962 + g. What is z rounded to 0 dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7261 + 1489*f + 7261 as b + k*f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4292*g + 107 = -4399*g. Is g greater than or equal to 4511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/2)\/((-28)\/(-32))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - s**2 + 3*s - 11. Suppose -b + 5*v = 6*v - 7, 5*b + 2*v - 32 = 0. Is a(b) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 2*t + 44 = 3*t, -5*t = -h + 7. Suppose p = 4 + 1. Solve -h = -p*i + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13310 = 18*q + 78*q + 146*q for q.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/(-14) - (-180)\/(-126) - -3. Let r = 2 - 1. Let o be ((-8)\/2)\/(0 - r). Put s, 3, o in increasing order.\nAnswer: s, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate 145*s**4 - 99 wrt s.\nAnswer: 580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 2 + 1)*(-172*q + 508*q + 539*q**2 - 167*q - 173*q) to y*q**2 + z*q + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the third derivative of 0 - 3\/20*q**5 + 0*q + 1\/70*q**7 + 1\/8*q**4 - 1\/40*q**6 + q**3 + 74*q**2. Suppose j(p) = 0. What is p?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/s**(6\/5)*s)**(-14) assuming s is positive.\nAnswer: s**(-126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 5*j = 10 - 35, 5*h - 4*j + 20 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (16652\/51)\/(22\/(-3)). Let f = c + 726\/17. Find the common denominator of -11\/6 and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/6?  (a) -4\/11  (b) -0.03  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 487443 and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1924714 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07 times -1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9*2\/(-6))\/(30\/90).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.0705, 3, -0.7 in ascending order.\nAnswer: -0.7, 0.0705, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8491*z + 8516*z - 420900. Calculate the highest common factor of 552 and z.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 + 6*a + 1. Let i be m(-6). Let t be (35\/15 - i)*(-6)\/(-4). Solve -3*c = -2*c - t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -55.9 - -56.2. What is the nearest to -1\/2 in w, 0, -6\/11, 8?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -154 - -158. Solve x*k + 24 = 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (8 - (1 - -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 - 2 + (-1 + 1 + 1)*(-2 + 1 + 2))*(0 + 1 - 3)*(5 - 3 + 3)*(5*l**4 - l**4 - 3*l**4).\nAnswer: 50*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*z**0*z)**14*(z**(2\/11)*z)\/z**(1\/13))\/((z*z**(-2\/7))\/(z*z\/z**(-2\/13)))**(-33) assuming z is positive.\nAnswer: z**(-4405\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 2 h when four letters picked without replacement from ehhehh.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -66 - 24. Suppose n = -n + d. Suppose 0 = -2*v + 3*v, -3*o + v = -27. Calculate the greatest common divisor of o and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 + 10 - 18*d)*(-3 + 4 + 0)*(-6*d + 2*d + 2*d).\nAnswer: 36*d**2 - 26*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the second derivative of m**4\/3 - 3*m. Let h(j) be the third derivative of j**4\/24 - 55*j**2. What is h(z(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 17\/10?  (a) 0  (b) 2\/5  (c) 1  (d) -2.5  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2698056*d**3*l**2*v**3 - 13*d**3*l*v + d*l*v**2 - 13360*v**3 wrt l?\nAnswer: -5396112*d**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 50476 divided by -4?\nAnswer: -12619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 41 - 11 = 0. Suppose 4*p - l = -x + 7, 3*x = 4*p + 3. Suppose -1 = r - p, 3*r = -t + 10. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 21 + 27 = 0. Let x be (-2)\/(-6) + (-64)\/u. Solve -x*m = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**0*n)\/(n*n*n*((n*(n**(-1\/53)*n*n)\/n)\/n)\/n*n) assuming n is positive.\nAnswer: n**(-158\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*a*k**2*v + 115*a*k**2 + a*k + 4*a*v + k wrt k?\nAnswer: 4*a*v + 230*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (19080\/(-268710))\/((-1)\/(-13)).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {a: 4, j: 5, f: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -52\/23 - -81\/46. Sort 1, g, -4, -5 in descending order.\nAnswer: 1, g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-225)*3 - ((-68172)\/(-585))\/23?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 354314 and 1260941?\nAnswer: 42871994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 448294309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(35\/5)\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -36*z**2 - 115*z + 17*z + 15*z**2 + 23*z**2 + 2*z**3 to the form l*z + k*z**3 + b*z**2 + h and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -3*g + 2. Let d(m) = 6 + 13*m - 10 + 6 - 12*m - 3. Let y(w) = -w + 5. Let h be y(6). Give h*z(r) - 4*d(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, j: 1, i: 1, w: 1, v: 1}. What is prob of picking 1 j, 1 w, and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30 - -34) + 0 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 395482 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5122 = -7*g + 5304 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -16060 + 24?\nAnswer: -16034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1349 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -25144 (base 6) in base 10?\nAnswer: -3736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a**(6\/11)\/a)\/a)\/a*a\/(a\/a**(-1\/8)*a))\/(a\/a**(-1\/2)*a**(1\/10)*a))**24 assuming a is positive.\nAnswer: a**(-8157\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 PM and 6:57 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 50261209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -24*j + 39. Let b be s(2). Let m(l) = l - 2. Let k be m(0). Calculate the least common multiple of (3\/k)\/(b\/78) and 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30749.\nAnswer: 97, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the second derivative of 5*q**3\/6 + q**2 + q. Let i(m) = -4*m**2 + 10*m + 1. Let o be i(2). Is w(o) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13489471651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(720) + sqrt(720)*-2 + 3 - (sqrt(720) - -3*(sqrt(720)*1 + sqrt(720)))) + 2 - 2*(3 + sqrt(720)*-2 + -5))**2.\nAnswer: -864*sqrt(5) + 11601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 205138617?\nAnswer: 3, 457, 149627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1468*0.32921.\nAnswer: -483.28028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t*t*t**(-1\/10)\/t)\/t*t)\/(t*(t**(-2\/21)*t)\/t))**(9\/4) assuming t is positive.\nAnswer: t**(627\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/16)*b**(-5\/7))\/(((b*((b\/((b*b*b**(2\/21)\/b*b)\/b))\/b*b)\/b)\/b*b)\/b**(-7)) assuming b is positive.\nAnswer: b**(-2581\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6.3 + 6. Let u(w) = -w**2 - 7*w - 6. Let v be u(-5). Suppose x = -v*x + 15. What is the second smallest value in f, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 7:41 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 374.0015 - 0.0015. Let o = 373.999817 - b. Round o to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224 = 2*p + r, 5*r = p - 2*p + 94. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116*h = 7*i - 115*h - 23, -4*i + 36 = -4*h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -426 or -428?\nAnswer: -428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -4567171000 to the nearest one million.\nAnswer: -4567000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1645 times 40?\nAnswer: 65800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 6. Let w(u) = -12*u**2 - 14*u - 20. Let f(t) = 7 + 4*t**2 + 192*t + 191*t + 897*t - 1275*t. Give m*w(i) + 17*f(i).\nAnswer: -4*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9\/242 - 6641\/3630. Find the common denominator of o and -31\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -76764 - -128993. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 31049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4001 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 46156.04 weeks in microseconds?\nAnswer: 27915172992000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t - 1. Let p be g(-3). Let n be (-7)\/((-7)\/9)*(-1)\/(-3). Solve p*z - 13 = -3*z + 3*b, -n = z + 5*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 1051 = -b. Suppose b = 4*i - 2*i - y, -1057 = -2*i - 5*y. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 13 - (-32 + 44 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -3*q - 4. Let l be o(-3). Let w(k) = 11*k + 0*k**2 + k**2 - 18*k. What is w(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (120\/50)\/(((-24)\/4)\/(-60)). Solve -5 = 3*u - b, -115*u + 119*u + 3*b = -c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 2*w - 4*w = -131, -2*k = -3*w - 70. Suppose 6*o - k = -11. Which is greater: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112519567?\nAnswer: 112519567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zh when two letters picked without replacement from {e: 2, z: 4, h: 7}?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 411, 3858, 366.\nAnswer: 366, 411, 3858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -18, 10, 5, -2\/15.\nAnswer: -18, -2\/15, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 16 - 16. Suppose -4*q + 4*k = -392, -5*q + 3*k - d*k + 460 = 0. Suppose -4*g + q = -1. Calculate the remainder when g is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 - (0 + 12)\/(-4). Suppose -28*g = -31*g + n. Let v be 2\/(-8) - 2\/(-8). Solve -4*k + g*z = -v*z - 14, 2*k = -5*z + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 times 409.2?\nAnswer: -2455.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (20\/6)\/(15\/18). Solve x*n - 4*f + 8 = 0, 3*f = 5*n - f + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 - 2*k**2 - 3. Let f be a(-4). Suppose -4*w + 140 = 5*y - y, -y - 4*w = -f. What is the remainder when 72 is divided by y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -60\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 + 6*v**2 - 5*v - 7. Let c = -5 + -2. Let x be r(c). List the prime factors of 4\/14 - 36\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*h**3 + 2*h**3 + 2*h**3 - 6*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 10*d**2 - 2*d - 1. Calculate v(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10386 = -43*a + 10859 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33 + 35 - x - 24.\nAnswer: -x - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8497319 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-13 - -1)\/((-159)\/106). Let m(w) = w**3 - 5*w**2 - 19*w + 90. Let v be m(f). What is the greatest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence raa when three letters picked without replacement from {r: 14, a: 4}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -90 + 93. Solve -104*j + 3*j**2 - j**o + 59*j + 49*j = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7062037 by 5.\nAnswer: 7062037\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 - 2*p. Let v be c(3). Let g be (v - (1 - -1)) + 0. Solve 3 + g = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 18 = -238. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 837.9054 decades to centuries.\nAnswer: 83.79054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -551 + 556. Solve -35 = 3*a - v*t, 3*a - 3*t + 2*t + 19 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (12 + -9) - -4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.2 + -2.2. Put -0.5, s, -4, 0.11 in decreasing order.\nAnswer: 0.11, -0.5, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(((-2)\/(-4))\/(5\/10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-24)\/18 - 30\/(-9). Factor 1927*t**2 - h - 1935*t**2 - 4 - 26*t.\nAnswer: -2*(t + 3)*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 50\/(-18) - 4\/18. Let u = g - -5. Let k be (u + 3)*(-2)\/(-2). What is the second smallest value in 1, 0.2, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 202598*k + 19651996. Calculate h(-97).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 - 27 = -6*x. What is the derivative of -13*y**4 + 27 - 6*y**4 - x wrt y?\nAnswer: -76*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26175 divided by 5235\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s + 1. Let x(j) = -14*j + 15. Let d(i) = 5*p(i) - x(i). What is the first derivative of d(r) wrt r?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 7 = 2*g + 20, -5*g - 5*y = 15. Let p be -2*(g + 5 + -5). Suppose -3*a - 3*j = 0, a + 3*j + p = -0. Solve -3*i - 2 = -i, a*i + 2 = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 9*g - 16. Let c be j(2). Let 3\/5*k**c + 0 + 3\/5*k = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 71641545 - 71641602.4000984. Let y = g + 57.4. Round y to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 6, j: 12}. What is prob of picking 2 e?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 279*i**4 + 2*i**3 - 8*i**2 + 276*i**4 + i - 3*i**3 - 552*i**4 as x*i + j*i**3 + p + f*i**2 + z*i**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**3\/17 - 1656*s**2 + 421938*s\/17 - 1518588\/17 = 0.\nAnswer: 6, 9, 14061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -74785.17 rounded to the nearest 100?\nAnswer: -74800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-61 - 11 - 18)*(3*n**3 - n + n).\nAnswer: -270*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 277\/42 + -37\/6. What is the nearest to 0 in 3\/2, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 - 7*m**2 - 7*m - 6. Let j(x) = 9*x - 78. Let z be j(8). What is i(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 572 is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18 + 1639*b**3 - 1743*b**3 + 5 + 9 + 4.\nAnswer: -104*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-96)\/28)\/((50\/(-35))\/(-5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -54*g + 2. Let j(y) = y. What is -2*j(x) + r(x)?\nAnswer: -56*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**2 + 6*v - 6*v)*(2*v**3 - 2*v**3 + 3*v**3) + 2*v**2 - 5*v**2 - 3 - 2*v + 137*v**5 - 132*v**5.\nAnswer: -v**5 - 3*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 478501 is divided by 208?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 402 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23154, 92724, 208672, 370998, 579702, 834784?\nAnswer: 1136244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 70 = -5*q, 5*q - 20 = -6*w + 2*w. Let c = 225 + -155. Calculate the highest common factor of w and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f + 9. Let i be t(-7). Suppose 0*n + i*n = 0. Let r = n - -15. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*q + 2*q**4 + 0*q + q**4 + 4*q**3 - 4*q**3 + (2*q**3 - 2*q**2 + 2*q**2)*(0*q + q + 0*q) - 2 - 2*q**4 + 2 + 0*q**4 - 3*q**4 + 4*q**4.\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -382 in -1, 1\/2237, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 123 a factor of 11808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2032)\/32*3\/(3\/(-4)). Suppose -2*l = t - b, -4*t + 9*l + 1016 = 7*l. Does 36 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 381576 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/8?  (a) 1  (b) -2  (c) -2\/15  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 + y - 1. Let r(n) = -4*n - 13. Calculate the smallest common multiple of z(-3) and r(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 6*m + 84. Let g be u(-9). Which is smaller: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3655 and 205?\nAnswer: 149855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*(-1)\/4)\/(37\/(-518)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z**4 - z**4 + 0*z**4 - 7308190 + 7308190 + 1838*z**4 + (-2 + 5 - 1)*(0*z + 0*z + 2*z**4).\nAnswer: 1840*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -957071*q**2 + 134978*q - 1.\nAnswer: -1914142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1792 = 5*d + 3*d. Is d a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z**3 - 16937*z + 16937*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.6 + 4.81. Let c = -1.18077 - -0.970686. Let p = m + c. What is p rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-285)\/(-10) - (-20 + 1147\/74) and 6\/(-9) + (-416)\/(-3).\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 2 - 6 + 1 + 2 - 1 + (3 - 1 - 3)*(-2 - 1 + 5) + 0 - 2 + 3 - 2 + 1 - 1)*(3 - 3 - 5*k) as d + w*k and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-9)\/t)\/t)\/t*t*t*(t\/(t*t**(-4\/7))*t)\/t*t)**(-48)*(t\/t**(-2))\/(t\/(t\/t**6))*(t\/(t\/(t\/t**(-3\/7))))\/t**1 assuming t is positive.\nAnswer: t**402","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 135 + -139. Sort y, -80, -1\/2 in increasing order.\nAnswer: -80, y, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*b + 94 - 185 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**4. Let h(z) = -z**4 + 3*z**3 + z**2 + 3*z + 3. Let a(t) = t**4 + t**3 + t + 1. Let y(p) = 6*a(p) - 2*h(p). Let q(s) = -6*w(s) + y(s). Factor q(k).\nAnswer: 2*k**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21\/14*(-1)\/(1\/4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 PM and 12:19 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 - (12 - 1)) + -4 + 2 + 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 11*s - 17. Suppose 3*j - a = 35, 2*a + 26 = 2*j + s*a. Solve u - 4*u = -3*n + j, -6 = 4*u - 2*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/8513010 and 5\/2270136.\nAnswer: 34052040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 663379\/3  (b) 1\/10  (c) 0.3  (d) 0.5  (e) 1\/3  (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -4*a + 6, 1 = 3*a + 3*p - 2. Suppose 5*h - 14 = -3*m + a*m, -4*h + 2*m = 0. Solve h = 5*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*h*h\/h**(2\/13)*(h*h*h**(-2\/3))\/h*(h\/(h**7\/h))\/(h**8*h))**24)**12 assuming h is positive.\nAnswer: h**(-36768\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 3*d - 5, -40 = -5*f - 4*d. Put -6, f, -3, -4 in ascending order.\nAnswer: -6, -4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 80\/(-184) + (-21060)\/(-828).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -371*b**3*v - 15*b**2*v - b*v wrt b?\nAnswer: -2226*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 366863.\nAnswer: 7, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.12 at most 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 52 and 429?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2863, 2995, 3127, 3259, 3391?\nAnswer: 3523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 619 is divided by 124.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/2*(15 + 15). Let b = -18 + m. What are the prime factors of 0 - 1*b*23?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 86?  (a) 0.2  (b) 0.02  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 16*5\/10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of c**4\/2 + 7*c**3\/3 + 2*c**2 + 3*c - 3. Let d be w(-3). What is the smallest value in d, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19361 - -19414. Suppose 2*f - 8 = -3*r, 36 = 6*f - 2*f - 4*r. What is the remainder when h is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -22847721 and -0.0342129.\nAnswer: -22847721.0342129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (((-202)\/35)\/1)\/(-4) and (-1221)\/(-180) + ((-969)\/(-39) - 25 - 76\/13).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (u - 2*u - u)*(44*u**2 - 5*u**2 + 9*u**2) as c*u + k*u**2 + t + x*u**3 and give x.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -523 + 525. What is the derivative of -5*o**4 + 293 + 44*o**3 + z*o**4 - 81*o**3 + 47*o**3 wrt o?\nAnswer: -12*o**3 + 30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11*(-7)\/(42\/6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/(-24) - (-39)\/12. Factor -1715*z + z**4 - 39*z**3 - 10*z**3 + 4*z**4 + 735*z**2 - 56*z**i.\nAnswer: 5*z*(z - 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -15*9\/(-6)*2\/3. What is the greatest common divisor of x and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 5*o**2 + 784984380*o + 30810023842199220 = 0.\nAnswer: -78498438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 + -2. Suppose -6*z + z + o*p = -24, p = -3*z + 11. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (5 + -6) - (2 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -59214*r**3 - 5*r**2 + 12*r - 7. Let w(v) = -v**3 + v**2 - v - 1. Let p(d) = -t(d) - 5*w(d). Let u be p(4). What is u rounded to the nearest 100000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 AM and 3:51 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 237301 - 95658 = 10003*q - 178453 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(352)*-1*-5 - sqrt(352) - ((sqrt(352) + sqrt(352)*1)*1 + sqrt(352)))\/(sqrt(24)\/(sqrt(6)\/sqrt(2))*-2))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15 - 10. Let a(k) = -k**3 + 5*k**2 + 7*k. Does 26 divide a(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 488 not equal to 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 468 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 43 = 3*r, 3*r = 3*n + 43 + 8. Let d = 27 - r. Let z be 159\/d - (-3)\/6. Calculate the greatest common divisor of z and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from huuuuuuuuuuuuuuhuu.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1578951\/693*(12\/2 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23 - 35. Let y(a) = 2*a**2 + 24*a + 11. Let j be y(t). Solve -3*c + j = -1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*m - m + 12. Let x be (-6)\/(-3)*(3 + -2). Solve 0 = -2*q - 4, 0*g + q = -x*g - m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u*u**5)\/u**(-1\/13)*u**(7\/2)\/(u\/u**(2\/7))*(u**(1\/2))**(-34)*(u**(-2\/5)\/u)**(-35) assuming u is positive.\nAnswer: u**(7801\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 33854956, 67709925, 101564894?\n\"Answer: 33854969*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 589.163 decades in months?\nAnswer: 70699.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -409.753 at least as big as -0.753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 4*q + 308 = 0, -q = -223 + 226. Which is smaller: -24 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53, -269, -633, -1145, -1805?\nAnswer: -2613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 217  (b) 0.021  (c) -6  (d) 80\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 417610 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of -t**5\/100 - 2*t**4\/5 + 18*t**3\/5 - 56*t**2\/5 - 772*t. Factor y(s).\nAnswer: -(s - 2)**2*(s + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -3*a - 39, -2*a - 20 - 24 = -4*n. Let y be 2 + -2 + n\/1. Suppose 0 = -7*g + 12*g - 50. Is g bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 111708081.\nAnswer: 3, 2293, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 352, 1, 4 in decreasing order.\nAnswer: 352, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -21 - -25. Suppose h*q - 42 = 2*t + 118, -4*t + 49 = q. What are the prime factors of q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -17693 divided by -2\nAnswer: 17693\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.21 times -4\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288)*1*6)**2 + 2 + ((-2*sqrt(64))\/sqrt(2))**2.\nAnswer: 10498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*q - 0. Suppose 2*z + 4*c + q = 6, 0 = 2*z - 5*c - 13. Suppose 0 = -p - 2*f - 1 + 7, -5*f = -z*p - 2. Solve -a - p*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -990 divided by 3?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5)\/(-8)*2*4. Suppose w*b + r = 2 + 4, -20 = 5*r. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 898 and 11.\nAnswer: 9878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4358 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 24416929 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 531235 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6673, 6634, 6595, 6556?\nAnswer: 6517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 9*t - 2. Let u be x(6). Suppose 5*l - 2*i - u = l, 0 = -l - 2*i + 3. Suppose 1 = -3*z - l. Sort -2, 3, z in increasing order.\nAnswer: z, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -209*p - 32 = -211*p. Suppose -3*b - 3*z = -18, -4*z = -7 - 5. Solve -b*k - k = p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 26336, 26270, 26170, 26018, 25796, 25486, 25070?\n\"Answer: -3*f**3 + f**2 - 48*f + 26386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 253127 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4738\/(-20) + (-2)\/(-5). Let n = p + 223. Find the common denominator of 1 + (1 - 110\/(-16)) and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -416019393, -416019395, -416019397?\n\"Answer: -2*g - 416019391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2345\/19741 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 32*l - 1 - 2 + 306*l**4 + 30*l to the form k + u*l**2 + o*l**3 + m*l**4 + n*l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 - -3. Let c = j - -6. Let d = 3 - 5. Sort d, c, 2.\nAnswer: d, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 0*r = -4*r - 162, -3*z - 81 = -3*r. Let i = z - -30. Suppose -3*o + 2*u + 0*u + 140 = 0, 3*o - 3*u - 141 = i. Is 23 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 56010309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 - -28 - -18 - 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*y - 4. Let f = -4 + 6. Let b = f + y. Calculate the least common multiple of 4 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 4*f**2 - 6*f + 1. Let k(c) be the third derivative of -c**5\/60 + c**4\/24 + 26*c**2. Calculate -10*k(r) - 2*n(r).\nAnswer: 2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0768626 millilitres to litres.\nAnswer: 0.0000768626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1145 - 5?\nAnswer: -5.1145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 11, q: 3, u: 1}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14750727, -29501454, -44252181, -59002908?\nAnswer: -73753635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2192 + 2207. Suppose -4*c = 2 - 22. Solve c*q + 0 = -b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 6}. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -50, 49, -3, 4, -2, -24 in ascending order.\nAnswer: -50, -24, -3, -2, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1105304 - 225?\nAnswer: -1105533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/j**(-2\/3))\/(((j*j*(j*j*j**(1\/4))\/j)\/j)\/j)*(j**5\/j*j)\/j**2 assuming j is positive.\nAnswer: j**(53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 - 13*i**2 - 14*i - 1. Let j be a(14). Let y = -354 - -606. Let q be y\/135 + 2*j. What is the closest to 2\/15 in q, 3, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 - 4*d + 4. Let n be u(-3). Let x be 8 - (n - (-12)\/(-3)). Let q be (-416)\/80 + 1\/x. Let g(h) = h - 6. Give g(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 180 + 50. Let p = -9 + m. What is the remainder when p is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 869597547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 - 8*r**2 - 9*r - 10. Let k be (42\/9)\/(4\/(-6)). Let f be l(k). Solve x + 2*u = 6*x + 6, f*x = 2*u - 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -3. Let o = 10 + -12. Does i = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 125*d**5 + 2*d**3 - 222*d**2 + 3?\nAnswer: 7500*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-4\/19)*j*j**(1\/11))\/((j**(1\/3)\/j*j)\/j**(-2)) assuming j is positive.\nAnswer: j**(-284\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2555 and 142905.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/362 and 87\/20.\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 392 + -333. Calculate the greatest common factor of 1357 and t.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1782 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(136) + 2*sqrt(136)*4)*2)\/((3*(sqrt(1152) + sqrt(1152)*-1) - sqrt(1152))*5))**2.\nAnswer: 612\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 454122485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 319.7 - 321. What is the closest to t in -3\/8, 1\/8, -3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/2))**(-18)*(((c\/(c*c**(-1\/13)))\/c)\/c)**7 assuming c is positive.\nAnswer: c**(-58\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 594770 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 696*a + 31520 = -339*a - 16090 for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 125\/27348 and -59\/29644596.\nAnswer: 1274717628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -3457*g - 2. Let p(o) = 20*o**2 + 18*o + 6. Determine z(p(u)).\nAnswer: -69140*u**2 - 62226*u - 20744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -5*c - 3*s, -1 = -5*s + 4. Suppose -2 = -h + c. Suppose g = -h*g + 50. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 194 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 108 and 18?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from yllllyyyuyyyyyyyyll?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -541 + 231 = 31*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 y, and 1 h when three letters picked without replacement from rceynyehynyece.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of 2*m**3\/3 - 3*m**2\/2 + m - 2. Let c(o) = 4*o**2 - 22*o - 12. Let n be c(7). Suppose 66 = 32*l - n. Calculate k(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 25 + -11. Let s = -16930 + 16932. What is the remainder when q is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**3*n\/((n*n**(2\/27))\/n))\/((n\/n**(-1\/5))\/n*n*n**(-3\/5)\/n) assuming n is positive.\nAnswer: n**(-91\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 301 - 11 = 0. Suppose 4*g - y = -4*s, 4*s = -s + 2*g + 100. Let w be 0*(2\/18 - 20\/s). Solve 2*m + w = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9249 + -9259.037. Round j to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -176953915 + 286432915. What is u rounded to the nearest 1000000?\nAnswer: 109000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 5)*(c + 0*c + 41*c + 39*c).\nAnswer: -324*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1063 less than 0.24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-24)\/132 - (-57)\/11. Suppose -u*j + 9*j - 801 = -5*g, g = -j + 201. 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 the hundred millions digit of 326711440?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 2*k + 5, 2*m - 3*k - 3 = 15. Suppose -31 + 64 = m*s. Solve -4*y = s + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 3, 340\/19 in decreasing order.\nAnswer: 340\/19, 3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the second derivative of -n**3\/3 - 3*n**2\/2 - 7*n. Give u(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 - -23e?\nAnswer: 23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14 + 116.3.\nAnswer: 102.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -26662518\/49 or -544133?\nAnswer: -544133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5360*d**3 - 389*d**2 - 15 wrt d.\nAnswer: -32160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**1\/x)\/x*x\/(x*x\/(x**(-2\/9)*x)*x)*((x**(2\/21)\/x)\/x)\/x**(-2\/11)*((x\/((x*x**(-1))\/x))\/x)**(2\/27)*x**(2\/5)*x*x**(-1\/3) assuming x is positive.\nAnswer: x**(-29152\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -76 divided by 14990?\nAnswer: -38\/7495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 99949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j - 3*q + 542400, -2*j = j - 4*q - 406775. Suppose -12*m - 23421 = -j. Let t = m - 6591. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ofywoyyfyhhr. What is prob of sequence wfoo?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 133 smaller than -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 352316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kooooogokooooo. Give prob of sequence ok.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*g**3 + 985*g**2 + 2104*g**4 + 35*g**3 + 27*g**3 - 59*g**3 wrt g?\nAnswer: 50496*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 34*z**3\/13 + 2*z**2 - 8*z\/13 = 0. What is z?\nAnswer: -1, 0, 4\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 1836 divide 1255203452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2, -10872 in ascending order.\nAnswer: -10872, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*c**2 - 343*c**2 - 7*c**2 - 71*c**2.\nAnswer: -450*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3455 + 547 = 6*m. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 14\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32)\/(-16)*1*-5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-60)\/16)\/5*(-3)\/(-18)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000008368544 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -25249 + 28592. Does 30 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + 2. Calculate the remainder when 57 is divided by (-90)\/x*4\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3563664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.238 times -155099?\nAnswer: 36913.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and -0.048?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/(-30))\/(-6*(-11)\/(-3366)). Is -4 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -43.7, 809, 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -51880 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 - -7. Suppose 1 = n*k + 5*o, 2*o = 1 + 5. Let w = k + 3. Let m(g) = -g - 1. What is m(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.9 + -7704280287.\nAnswer: -7704280287.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 661 = -641. Solve -u*m = -0 - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 90750*x**2 - 3*x + 6. Let h be d(2). Round h to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 3*t + 3. What is b(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 51\/65 and 23\/8658.\nAnswer: 43290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*o**4 - 3*o**4 + 4*o**4)*(4*o - 3*o + o) - 4*o**5 + o**5 + 2*o**5)*((-2 + 0 - 3)*(-4 + 1 + 4) - 2 + 2 + 2).\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(9\/(-10))\/(150\/(-875))*-4?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -584718*y + 584719*y - 7 = l, 5*y = 8*l + 35 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) 4\/5  (c) 2  (d) -13673\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = u - 3*c - 0, 0 = -3*c - 3. List the prime factors of u*2\/(-16) - 36108\/(-24).\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -60141197 * -0.2\nAnswer: 12028239.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 56 = -4*b + p, -14 = -b + 5*p. Suppose b = 5*y - 181. What is the third derivative of -y*x**5 - x**4 + 8*x**2 + 40*x**5 + x**4 wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 7648, 31224, 70722, 126136, 197460?\n\"Answer: -f**3 + 7967*f**2 - 318*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -216, -289, -360, -429?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 120\/121 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19 - -11. Let u = -6 - w. Solve 2*z = -u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - (1 - (-5 + 0))) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -289*r + 286*r - i - 4, 3*i = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3200 (base 4) to base 3\nAnswer: 22022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11110111100101 (base 2) to base 4.\nAnswer: 3313211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the third derivative of -c**7\/14 - 61*c**6\/72 - c**5\/6 + 25*c**4\/24 + 15*c**3 + c**2. Let j(w) be the first derivative of k(w). Factor j(s).\nAnswer: -5*(s + 5)*(3*s + 1)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 41 - 41.043. Let v = f + 0.112. What is v rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -21*z**2 + 161*z + 19. Determine q(8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1529938 is divided by 24675?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 5) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -52*c**3 - 7231*c**2 - 414*c + 421. What is x(-139)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-2 + 1188\/(-20)) + (-1)\/(-10)*4?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 4*x + 0 - 2)*(-6 - 1 - 3)*(0*x**2 - x**2 - x**2)*(-2*x + 5 - 5)*(-66 - 25 + 11) to u*x + j*x**4 + b*x**2 + w + n*x**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 3*x = -6. Suppose 0*y = 3*y - x. Find the first derivative of -3*j**3 + 2 - 1 + y*j**3 wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1348705 * 0.1.\nAnswer: -134870.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.306 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 412 + -147. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 433850 and 13850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 85 + -84.906. Let d = u + -0.024. Which is greater: d or -3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (36239\/42)\/1 + 2\/12. Let g = -2573\/3 + b. Factor -14\/3 + g*d - 2\/3*d**2.\nAnswer: -2*(d - 7)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of 0*c + 1\/60*c**5 + 0*c**3 + 0*c**4 + 0 - 3\/40*c**6 + 4*c**2. Find the third derivative of l(x) wrt x.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-5))\/(3\/((-45)\/(-6)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31090640 is divided by 468?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 9:32 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + -9. Let i = -14.7 + 14. Let s = -0.2 - i. Which is the nearest to 0.1?  (a) 0.4  (b) s  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 60, 67, 88, 129, 196, 295?\n\"Answer: v**3 + v**2 - 3*v + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3702083, 7404063, 11106033, 14807987, 18509919, 22211823, 25913693, 29615523?\nAnswer: 33317307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + -24?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 12 = 0, 0*z = 5*d - z - 638. Suppose 0 = 4*g + 3*w + d, 4*g - 3*w + w = -142. Are g and -34 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -143 + 493. Let b = f + -350.0000207. What is b rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 339425574?\nAnswer: 2, 3, 43, 1315603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -19*h**2 + 39*h**2 - 19 - h - 21*h**2. Determine b(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 789151.9 decades in months?\nAnswer: 94698228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 876527?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6669 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8912160?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 - 1. Let t be w(2). Suppose 6 = -t*c + 15. What is the remainder when 5 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in twenty-one eighths of a second?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*q + 2*q - 73*q**2 - 11*q + 9*q - 207*q**2 to the form j*q + s*q**2 + v and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/9 + (-26)\/3. Let u(b) = 5*b - b**3 - 4*b**2 - 2*b**2 - b**2 + 3. What is the tens digit of u(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2880602?\nAnswer: 2, 1440301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -880 + 1791. Let j = 911.1 - n. What is the nearest to j in 0, 0.5, -2\/17, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -227, -4, -30, -53 in ascending order.\nAnswer: -227, -53, -30, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 10:44 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1113 + -120330?\nAnswer: -122103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of -r**4\/12 - r**3 - r**2\/2 - 3*r. Let k be c(-5). What is the third derivative of 3*s**2 - 2*s**k - 5*s**4 + 3*s**4 wrt s?\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*a - 5*a - 3*z + 17, -3*a + 3 = 5*z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y + 25 = 3*y. Let w = -17.2 - -13.2. Let d = 3\/673 - 2713\/4711. What is the second smallest value in w, 0, y, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/28 and 48\/12530777.\nAnswer: 50123108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.84*0.0806\nAnswer: 0.067704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1080\/17 - -17297\/272. Let m(r) be the second derivative of -5\/2*r**2 - 2*r + 0 - 5\/3*r**3 - 25\/48*r**4 - v*r**5. Suppose m(k) = 0. What is k?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -137, -62, 55, 208, 391?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 110 - 201. Let v = d + 91.3. Sort -0.5, v, 14, 8 in ascending order.\nAnswer: -0.5, v, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the second derivative of -7*q**3\/3 - 3*q**2\/2 - 4*q. Is 17 a factor of z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2795 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 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (10 - (-8 - -17)) - -13 - (29 - 35)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31083 (base 10) to base 7.\nAnswer: -156423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -0.4  (c) 266  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - r = 3035, -3*t + 5*r + 4065 = t. What is t rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*v**3 - 164*v**2 + 163*v**2 + 11*v**3)*(23691 - 23691 + 212*v) as m*v + p*v**4 + t + x*v**2 + b*v**3 and give p.\nAnswer: 2968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 4*d - 29 = 0. What is the third derivative of -d*x**5 - x**3 + x**3 + 31*x**5 + 5*x**2 wrt x?\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 224.8 - 224.3. What is the nearest to -1\/4 in 3, 1\/3, l, 4\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 17, 22, 31, 44?\n\"Answer: 2*a**2 - a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1393, 4196, 9233, 16804, 27209, 40748, 57721, 78428?\nAnswer: 103169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 2*g - 2 = 0, -3*g = -4*g - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes after 3:45 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 425 in 4, 33, 0.5, -5?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 8*i + 88. Let j(y) = -2*y - 22. Let q(f) = -9*j(f) - 2*s(f). Let d be q(-9). Let o(b) = -3*b. Determine o(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2427399487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 7 = -h, -11*h = -9*h - x - 1. Solve h*v + 1 = 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 + i**2 + i + 1. Let n(g) = 5*g**3 - 20*g**2 - g + 12. Let v(s) = -6*b(s) - n(s). Let f = -97 + 83. What is the units digit of v(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 42864651*p**3 - 550924*p**2 - 21*p.\nAnswer: 257187906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 - (-17 - (-26 - -22) - 2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-297)\/(-51) - -7) + 0 + -13.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.12*-7.89\nAnswer: 0.9468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 + 15 - 6) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002208439 rounded to seven dps?\nAnswer: 0.0000221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:09 AM and 1:32 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -41 - -412?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5730950 a multiple of 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(3\/11)\/s*s*s)\/s*s**(2\/3)\/s)\/((s**(-1\/17)*s)\/s**19))**(-43) assuming s is positive.\nAnswer: s**(-434171\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1561 times 100?\nAnswer: -156100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/l**2)*l*l\/(l**(-3)*l))\/((l**6*l)\/l**(2\/7))*(l**7*(l**(-10)*l)\/l)**(27\/2) assuming l is positive.\nAnswer: l**(-577\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and 42.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o. Let b(y) be the third derivative of 13*y**6\/80 + 7*y**4\/24 + y**3\/3 - 2*y**2 + 19*y. Let v(d) be the second derivative of b(d). Calculate v(n(u)).\nAnswer: 117*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -7, -3, 2, -41.\nAnswer: -41, -7, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8991*r - 8942*r - 1862 = 0. Calculate the remainder when 226 is divided by r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qezemzqpevevpp. What is prob of picking 1 z and 2 p?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ekhhkhkh. What is prob of picking 2 h?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + u. Which is the closest to u?  (a) 2\/19  (b) 4  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, m: 2, u: 1, g: 3}. Give prob of picking 1 u and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in eleven quarters of a hour?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-18)\/4)\/((-143)\/80 - (-456)\/285). Which is bigger: a or 18?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -868 + 453. Let f = r - -414. Which is the third smallest value?  (a) 6  (b) -2  (c) f  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9.178 - 9.278. Which is the closest to k?  (a) -18  (b) 3  (c) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + 13 - (5 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssks when four letters picked without replacement from kssssssssks.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 244.2 + -244. Sort 2\/55, 0.3, h in increasing order.\nAnswer: 2\/55, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/(h**(-4\/17)*h)*(h*(h**20*h)\/h)\/h assuming h is positive.\nAnswer: h**(344\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 2*h = -0*h + 6*h. Put 5, 920, h in descending order.\nAnswer: 920, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 28\/24465129 and 29\/177.\nAnswer: 1443442611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 18 - 2 = 0. Let p = a + 27. Calculate the remainder when 41 is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3 + 1)\/(6\/(-63)). Let l = -15 + h. Suppose -y + l*y - 30 = 0. What is the remainder when 17 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 6)*(-1 + 1 - 11*c).\nAnswer: 44*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -58343810 divided by 2\nAnswer: -29171905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*35*((-183)\/1220)\/((-3)\/8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2 + 5*s + 1 - 5 - 29 wrt s.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddid when four letters picked without replacement from ddid.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 6*n**2 + 4*n - 3. Let y(i) = 5*i**2 + 3*i - 3. Let o(t) = -4*p(t) + 5*y(t). Suppose q = -4*q - 25. What is the tens digit of o(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes before 11:08 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-2) + (-6 - -11) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 61375 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {i: 4, e: 2, k: 1, a: 1, u: 4, d: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/6118 and -137\/11523918?\nAnswer: 265050114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 72345.003 to the nearest one hundred.\nAnswer: 72300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4, -29 in decreasing order.\nAnswer: 4, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 79 = 413. Calculate the least common multiple of i and (14\/8)\/((-2)\/(-24)).\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14816, -4, 14.\nAnswer: -4, 14, 14816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1500) + sqrt(1500)*-1)\/(2*sqrt(5)*-1))**2 + -1 + 1 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + v = 1, -l = 3*l + 2*v - 6. Solve -2 - x**l + 483*x - x**3 - 488*x - 3*x**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 218*b - 260*b = -378 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 2*i + i + 20 = 0, i + 6 = y. What is the derivative of -51 + 14 - 23*o**y + 50*o**2 - 31 wrt o?\nAnswer: 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -45*x**5 - 2*x**3 - 8*x**2 - 281209*x wrt x.\nAnswer: -900*x**3 - 12*x - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 18 + (-4264)\/130 + 8\/10. Which is the fifth biggest value?  (a) -3  (b) -1\/5  (c) 1  (d) j  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10 - -130?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 292, 564, 768, 868, 828?\n\"Answer: -6*a**3 + 2*a**2 + 308*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11767 + -11767.000003547. What is r rounded to seven dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -21227, -21071, -20915?\n\"Answer: 156*j - 21383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -612.7 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 140 and 154308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4191774 is divided by 651?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -491 + 490. Which is greater: -0.24 or x?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/55 in -0.01066, -4, -1\/5?\nAnswer: -0.01066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -28, 0, 52, 140, 276, 472?\n\"Answer: 2*t**3 + 14*t - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 8860*4\nAnswer: 35440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (6 + -10 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.3889 rounded to two decimal places?\nAnswer: 2.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, -2, 962 in decreasing order.\nAnswer: 962, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -14 - (1 - 19) - -8 - 32\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 21461663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 384 and 1608450?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000013691 to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z - 779 = -2165. Suppose -z*p = -194*p - 332. Calculate the remainder when p is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tib when three letters picked without replacement from bptbiibb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + ((sqrt(68) + 0)*-3 - sqrt(68)*-2*5) + 1)**2.\nAnswer: 140*sqrt(17) + 3357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, v: 2, q: 6, b: 1, o: 8, g: 1}. What is prob of sequence qq?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 45 (base 15) to base 6\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is ((36938770\/220)\/(3\/2))\/((-1)\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/7  (b) -0.2  (c) 22\/145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.8 + -0.6. Let s = -2.51 - u. Round s to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -6*i - 3*i. Suppose -u + 5*v = 357, i*v - 1630 = 3*u - 523. What is u rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 + 7*w**2 - 8. Let l = -1470 - -1477. What is x(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1641338 from 1.\nAnswer: 1641339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 10*w - 201 = v, -4*v - 84 = -2*w. Suppose 4*x = -x + w. Solve 8 = -4*k + x*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -72347*b**5 + 47005*b**2 - b wrt b.\nAnswer: -4340820*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16829 is divided by 324.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -300 (base 9) in base 8?\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*b - 2686 = 23*b + 20*b for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 9:50 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y**2 - 4*y - 6*y + 2*y**2 + y + 5631*y**3 - 4*y**2.\nAnswer: 5631*y**3 - y**2 - 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 149*y**3 + 61*y + 36*y**3 - 59*y to the form c*y + v*y**2 + x*y**3 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-2) - (-172)\/8. Suppose -35282*z + 35328*z = 3542. What is the greatest common divisor of z and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 4*q**2 - 4504*q + 1267876 = 0.\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12657.37 litres to millilitres.\nAnswer: 12657370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 17 - 2 = -5*n, -k - n = -4. Put -12, -2, k in decreasing order.\nAnswer: k, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 2. Suppose 0 = 4*k, -3*s = -4*s - f*k - 1. Is 1 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*(h*h*h\/((h**(-3)*h)\/h))\/h)**27*h**(4\/9)*h**(-20)\/h)**(-1\/12) assuming h is positive.\nAnswer: h**(-1273\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-380)\/114)\/((-2)\/3). Solve -a + 5*o = -c*a + 21, 4*a - 5*o + 29 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of -250\/7*h**7 + 92 + 0*h**6 + 0*h**2 + 0*h**5 - 163\/3*h**3 + 0*h + 0*h**4. What is the third derivative of b(x) wrt x?\nAnswer: -30000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((2 + sqrt(1008))*-2 - sqrt(1008) - (sqrt(1008)*2 + -3)))**2.\nAnswer: 120*sqrt(7) + 25201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 - -7.2. Let o = 0.5 + -0.1. Which is the nearest to 1?  (a) -2  (b) o  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/312 and -17\/387024.\nAnswer: 5031312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 23720147 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 + -19 + 1 + -1 + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(33) - (sqrt(825) + sqrt(33)))\/sqrt(3) + -5*(sqrt(110) + sqrt(110)*-2)\/sqrt(10).\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 12\/25, 4\/25, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*l**5*n - l**5 - 49*l*n - 2*n wrt l?\nAnswer: 120*l**3*n - 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 AM and 2:04 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 775 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, -2, -6, 46, -7.\nAnswer: -7, -6, -3, -2, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22 + 2. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -7 - (-36 + -39 + 57 + (-8 - -2))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -3*p. Let c(r) = -15*r + 1. Let x be c(-3). Let l = -20 + x. Let u(k) = 26 - k - l. Give h(u(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, w: 1, x: 1, v: 1, s: 4}. Give prob of picking 1 v and 2 s.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 5*o**3 + 1825*o**2 - 1840*o - 3660 = 0.\nAnswer: -366, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -108*d**5 - 5408*d**4 - 400*d**3.\nAnswer: -4*d**3*(d + 50)*(27*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 74785900 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, z: 1, m: 1, t: 1, e: 1}. Give prob of picking 1 t, 1 e, and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 9677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-128)\/(-129))\/(-16)*(-342)\/(-3192)?\nAnswer: -2\/301","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 11) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 - 16*j + 32. What is h(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -22, -5, 4.34?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 872631.\nAnswer: 3, 96959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -79*y**3 - 4*y**2 + 11*y - 11. Is k(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6145 - 19332*z**2 + 19326*z**2 + 132*z - 332*z wrt z?\nAnswer: -12*z - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -7)*15\/(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1347828\/30 - (-8)\/(-10)*(-53)\/106.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1906 at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5.6 and 5816.\nAnswer: -32569.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 41.37342 centuries in years?\nAnswer: 4137.342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(((j\/j**(-3))\/j)\/j))**(-26\/3))**(3\/8) assuming j is positive.\nAnswer: j**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of x**9\/504 - x**5\/60 - 2*x**2 + 3*x. Let c(v) be the first derivative of w(v). Find the third derivative of c(s) wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -a77a (base 11) in base 6?\nAnswer: -145540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 42 + 38. Let o(p) be the third derivative of 0*p + 0*p**5 + 1\/3*p**3 + 0*p**4 + 0 + n*p**2 - 1\/40*p**6. Differentiate o(k) wrt k.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-3) + (-11)\/22?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, f: 2, v: 2}. What is prob of picking 1 v and 1 f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4\/(-118)*1)\/2. Let v = -50\/531 + i. Which is the third smallest value?  (a) -2  (b) v  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -118 and -16618.\nAnswer: 1960924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 363 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (643*l**2 + 921*l**2 - 101*l**2)*(-2*l**2 - l - 4 + 4).\nAnswer: -2926*l**4 - 1463*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 26\/117 + 12130\/81576. Let r = -3\/412 + b. Suppose r*g - 2\/11 + 8\/11*g**3 + 14\/11*g**2 = 0. Calculate g.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 336\/(-4)*(2 + 35\/(-10))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 95 + -95.3. Which is the second biggest value?  (a) -2  (b) -2\/15  (c) n  (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6 - (4 - 8)*(-6)\/16 - 1. Let a(t) be the first derivative of 24 + b*t**2 - 7*t. Let o(k) = -6*k + 6. Give -5*a(u) - 6*o(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 20*a**2 + 602*a + 13. Let b(l) = -27*l**2 - 802*l - 18. Give 8*b(x) + 11*r(x).\nAnswer: 4*x**2 + 206*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23876\/1143*(-1)\/20 and 115\/144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 PM and 7:24 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -2*c**3 + 9*c**2 - 33*c + 57. What is b(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, u: 3, i: 7, w: 1, o: 4}. What is prob of sequence uw?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xzd when three letters picked without replacement from {k: 1, q: 5, z: 11, d: 1, l: 1, x: 1}?\nAnswer: 11\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(121)*-1)\/sqrt(11) + sqrt(11))**2 + sqrt(11) - sqrt(11)) + sqrt(396) + -1 - -4*((sqrt(176)*1)**2 - sqrt(11)).\nAnswer: 2*sqrt(11) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 552253911 to the power of 1\/2, to the nearest integer?\nAnswer: 23500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -13, -29, -49, -73, -101, -133?\n\"Answer: -2*r**2 - 10*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -49, -45, -53, -79, -129, -209, -325?\n\"Answer: -l**3 + 11*l - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.02 in 0.2, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21 (base 3) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - -4. Let y be (0 - (-4)\/a)*-444. Round y to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 4*n - 191. Let v be r(48). What is the nearest to -1 in -3\/7, -1, 2\/21, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -105*c + 9*c - 20598884 + 20598883.\nAnswer: -96*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78877 - 78847 = 6*k. Let w = -36 - -126. What is the remainder when w is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 5690 = 5*j + 1145, 3*j = -2*h + 2747. Does 83 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -6  (c) 10  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3044, 2\/5, 1\/5, 0.5 in decreasing order.\nAnswer: 0.5, 2\/5, 1\/5, -3044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 122659072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t\/t**(-40)*t**30*t assuming t is positive.\nAnswer: t**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4312 + -4267. Solve 162*r = a*r - 234 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 - 6*u**2 + u - 2. Let g be j(6). Suppose 2*x - 461 = -g*f + f, 1162 = 5*x - 2*f. List the prime factors of x\/16 - (-3)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 281081732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5192 + 5185 - 24*o**3 - 10375.\nAnswer: -24*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and 3.5.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the first derivative of 1893*a**4\/4 - a**2 + 1014*a - 6041. What is the first derivative of x(c) wrt c?\nAnswer: 5679*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange h - 2 - 6 + 2 - 7*h to c + p*h and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**4 + 2*d**3 + 2*d + 1. Let o(t) = t**3 + t**2 + t. Suppose -2*x + 16 = 2*x. Let y(a) = x*o(a) - 2*s(a). Factor y(z).\nAnswer: -2*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x = 5*x + 60. Let i(p) = 5*p + x - 23*p - 12. Let z(h) = -h**2. What is i(z(a))?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/22*1266\/11394?\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1027913321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 32374.4703 + 2290\nAnswer: 34664.4703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * 37458.\nAnswer: 18729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -317, 1\/4, -2, -0.1.\nAnswer: -317, -5, -2, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2111 - 2112. What is the nearest to u in 4, 2\/7, -0.3, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 155, 184, 51, -286, -869?\n\"Answer: -7*y**3 - 39*y**2 + 195*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 8058\/237*(-1)\/(-2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-128 + 2*o + 56 + 57)*(-10*o**2 + 8*o**2 + 3 - o**2) as s + y*o**3 + g*o + l*o**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 4 - 14 - i + 3 + 6 - i**2. Let m(g) = -5*g**2 - g - 1. Give 5*m(t) - 5*q(t).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + (4 - 9 - -15 - 16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*a - 127 = 368 + 1419. Let x(p) = -6*p + 7*p - 2*p. What is the remainder when a is divided by x(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (38 - 7520\/200)\/(6\/7455). Suppose -4*d = -642 - 494. What is the highest common divisor of d and m?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*v - 3*g + 196 = 0, -18*g - 7*g - 32 = 3*v - 26*g for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*h = 18*h. Suppose -27*k + 21*k + 1062 = h. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 6.214453 decades?\nAnswer: 0.6214453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 310052?\nAnswer: 2, 77513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(11) - (sqrt(33)\/(-2*sqrt(3)) + sqrt(11))).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -297 + 297. Suppose -8*k = -6*k + r - 6, -5*k - 2*r + 15 = m. Solve -4*p + 5*f + 40 = 0, p + 7*f = k*f - 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (18\/21)\/3 - 579\/(-7). Suppose 2*l + 96 = 3*v - 223, v = -4*l + r. What are the prime factors of v?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1715.00012872 + 1715. Round l to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5\/3*u**3 + 80\/3 + 40\/3*u**2 + 100\/3*u.\nAnswer: 5*(u + 2)**2*(u + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3558 and 2502.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + 0. Let k(l) = l**3 + 24*l**2 + 97*l + 41. Let g be k(-19). Suppose -5*j - 193 = -g*i, r*i - 4*i + 4*j + 128 = 0. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3403779653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -42*p**3 - 30*p**2 - 564*p. Let l(i) = -53*i**3 - 30*i**2 - 565*i. Let c(g) = -5*k(g) + 4*l(g). What is the second derivative of c(u) wrt u?\nAnswer: -12*u + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 - 3*i**2 - i + 4. Let v be g(3). Let k be (5\/2)\/(v\/2). Let z = -1 + 1. Sort -0.1, k, z.\nAnswer: -0.1, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 62441463 and 7?\nAnswer: 62441463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18827, 477, 4 in decreasing order.\nAnswer: 18827, 477, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4653 by -1551.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 83461 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of 0*s**6 + 0*s**4 + 1\/6*s**3 - s**2 + 0 + 0*s + 0*s**5 + 1\/210*s**7. What is the first derivative of g(p) wrt p?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 20017*q**4 + 38525*q - 1?\nAnswer: 240204*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 3*x = 0. Let c be 7\/(525\/10)*-5. What is the nearest to x in 0.1, 0.3, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of -n**5\/60 + 7*n**4\/12 - 8*n**3\/3 + 4*n**2. What are the prime factors of p(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3584\/11648)\/(44\/(-26)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 133 + -137. Let r be 1*x + 1550\/403. Which is the smallest value?  (a) -5  (b) 6  (c) 0.5  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -600, -1200, -1800?\n\"Answer: -600*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10905 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - 26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5}. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**3\/3 - 406*p**2\/3 - 32784*p - 648648 = 0. What is p?\nAnswer: -126, -22, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 2637 = 1374. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1178447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r + 55. Let z be c(-37). Suppose z*l - 335 = 259. Calculate the highest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 8944 = -10*b. Suppose -2074 + b = -9*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 159 (base 10) to base 14\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1481277652779084.0000007 - -1481278056294399. Let z = i + -403515297. Let f = -18 + z. What is f rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99299*n**2 - 47*n - 198591*n**2 - 26 + 99294*n**2.\nAnswer: 2*n**2 - 47*n - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 + 9*j + 316. What is the remainder when 139 is divided by i(21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -3*t**2 - 6678*t - 191143. Give q(-29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 140*v + 125 = 0, -328 + 167 = -3*v - 164 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 277083 is divided by 181?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3551 + -10e2?\nAnswer: 246f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (((-2 + 4 - 3)*(3 - 3 - 2) - 7 - 5 + 2)*(6*n + 5 - 7 + 0*n) - 4*n + 5*n + 4*n)*(-2 - 1 + 2) to the form b*n + c and give b.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oogg when four letters picked without replacement from ogogutoout.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 - 13*z + 69. Calculate the remainder when f(14) is divided by 2\/(-5) + (-62)\/(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -919.7073 rounded to the nearest 10?\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22 + 23. Let j(h) = -7*h**2 - h. Let t be j(f). List the prime factors of (-2)\/(-8) - 254\/t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -6*t - 6. Calculate l(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 500070 divided by -2\nAnswer: -250035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 0 + (3 - 1) + -4598 + 4594.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 177078147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 803700 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-318)\/3445*247 - 2\/10\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.14*-676004\nAnswer: 94640.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s. Let y(q) = -1438827*q. Give o(y(z)).\nAnswer: -2877654*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31 - 27 + 93*g**2 - 4.\nAnswer: 93*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*u + 3*u + 51. Suppose 5*m + c - 2*c - 46 = 0, -u = -2*m - c. Suppose -2*p - 1 = -m. Solve 12 + p = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 34*u**2 - 44786*u + 10536.\nAnswer: 2*(u - 1317)*(17*u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 32*s**4 + 26577*s**2 - 822108*s wrt s.\nAnswer: 384*s**2 + 53154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*g + 2872 = 615*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 PM and 4:03 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 873718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-40)\/30)\/(1\/6). Is f at most -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 3)*(-4*h + 4*h - h - 2*h + h + 2*h + h + h + 0*h - 3 + 3 - h + (-5 + 0 + 3)*(-2*h - 1 + 1) - 2*h + 4*h - 3*h + 0*h + h + 3*h).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -62 + 3*r**2 + 17*r - 21*r - 2*r**2 + 57. Let j(o) = -2*o**2 + 4*o + 9. Let g be j(5). Let k = g + 26. What is u(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -2, 4, -7, -3, -19.\nAnswer: -19, -7, -3, -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -37 - -37. Let h(x) = -x**3 + 4*x**2 - 3*x - 2. Let z be h(3). Let v = -130 - -908\/7. What is the closest to v in 2\/13, m, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -834 (base 14) to base 11\nAnswer: -1238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2865*l**5*v - 12132*l**2*v wrt l?\nAnswer: -171900*l**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 247772937 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12\/61 - -182\/305. Factor -d*t + 0 - 2\/5*t**2.\nAnswer: -2*t*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -99*m + 12*m + 12*m + 77*m + 11*m - 15*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1000111001111001 (base 2) to base 14\nAnswer: -d413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -266 - -268. Let b(l) = 3*l**2 - 3*l - 3. Let s(k) = -6*k**2 + 7*k + 7. Let c(o) = n*s(o) + 5*b(o). Calculate c(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1744 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*t - 3*k = 7*t + 2, 0 = -5*k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.3 - 2.1. Let a = -6 - -3. Let v = w + a. Is v smaller than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -231138 (base 13) in base 8?\nAnswer: -3126332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 37611 + -37609. Let l(m) be the second derivative of -2 + 3\/20*m**5 + 34*m + 0*m**4 + m**3 + 24*m**w. Find the first derivative of l(s) wrt s.\nAnswer: 9*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h + 1 + 5. Let w = -1 - -1. Let j(r) = r**2 + 2*r - 1. Let x be j(-3). Sort x, h, w in increasing order.\nAnswer: h, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -10, 2*a - 16 = -a + j. Let c(x) = -104*x**2 + 2*x + 1. Let h be c(-1). Let w = h - -114. What is the remainder when w is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k**(-4)*k))**(-44) assuming k is positive.\nAnswer: k**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 44820 and 99.\nAnswer: 493020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + -7 - -8) + (3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a millennium in decades?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 14 - 8 = -f, -2*y + 58 = 4*f. Let q(v) = v**2. Let w(x) = 2*x**2. Determine f*q(p) - 6*w(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8879300*d**4 - d**3 + 2969253*d wrt d.\nAnswer: -106551600*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 7:02 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 22 = -2*n, 0 = -2*n + 4*l - 11 + 35. Suppose 6*x + 26 = 4*q + x, 3*q = -2*x + 8. What is the greatest common factor of n and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.3 - -0.8. Let a = 2 + r. Let s be ((-1)\/(-5))\/(6\/(-5)). What is the nearest to 1 in 4, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 163317048 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 6*l. Let i(o) = 857*o. Give c(i(k)).\nAnswer: 5142*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 402 and 9840?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 AM and 5:53 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 326499770 divided by 685.\nAnswer: 476642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -45.8, 5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 638911 is divided by 70937.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -3924677*y. Let g(f) = -f. Determine s(g(b)).\nAnswer: 3924677*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2393 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 211 + -1265\/6. Let w(c) be the second derivative of p*c**4 + 0*c**3 + c + 0*c**2 + 0. Let h(z) = 3*z**2. Determine w(h(s)).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**2 + 2*v**4 - 6*v**4 - 73 + 66)*(-6*v + 2*v + v)*(-1 + 3 + 14).\nAnswer: 192*v**5 - 48*v**3 + 336*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 25918661?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 12.1, -0.3, -2 in decreasing order.\nAnswer: 12.1, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + 0*a + 4*a = 41, 0 = 5*n - 3*a - 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -913, -1118, -1541, -2248, -3305, -4778?\n\"Answer: -11*q**3 - 43*q**2 + q - 860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**4 + 216044*c**3 + 5835888354*c**2 + 81670681232*c + 285810337568.\nAnswer: 2*(c + 7)**2*(c + 54004)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 4, -15, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v + 8. Suppose t - 3 = -2*p, 23*p + 2*t = 18*p + 8. What is f(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 109473 and 714?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2*(-858)\/36*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -172074*d - 5*d**2 + 172074*d.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 2*p**3 - 9*p**2 - 4*p - 3. Let a be q(5). Suppose 4*z - a*z = -840. Find the common denominator of -32\/5 and (-5202)\/z - 2\/7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/11 in -1, -2\/831, 2?\nAnswer: -2\/831","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: -3343 (base 5) to base 14\nAnswer: -25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 28 - 75 - 10*t - t - 36. Let d be k(-8). Suppose j - 4*y = -2*j - 95100, 3*y + 158500 = -d*j. Round j to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63868247?\nAnswer: 63868247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {z: 2, d: 1, v: 5, m: 6, s: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2380 = -5*t - l, -773 = -t - 5*l - 273. Let k be 10\/t*5 + (-8970)\/(-1425). Let 0 + k*d**2 + 0*d + 2\/5*d**5 - 14\/5*d**4 + 16\/5*d**3 = 0. Calculate d.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -39334408 by -39334408.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6003 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -303 - -267. What is the third biggest value in l, -5\/3, 3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 22 = 5*r. Let a(i) be the first derivative of -2 + 2 - r*i**3 + 3 - i + 3*i**3. What is the derivative of a(h) wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - (-30 + 27)) + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = 5*w - 24, 18 = 4*w - 69*i + 71*i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from ngmmngnmggngqqgngnn.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 182, -2445589, -3 in increasing order.\nAnswer: -2445589, -3, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q + 178 - 178.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -9*s - 1. What is t(-23)?\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -10464620 divided by 2092924\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 2*w - 6. Suppose 4277 = 7*c + 4249. Suppose 0 = -x - 3*g + 63 - 46, x = c*g - 18. Let l(z) = z**2 + 3*z - 7. Calculate x*l(h) - 3*m(h).\nAnswer: 2*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 23*o**3 - o**2 + 2*o. Let w be a(1). Suppose w = 5*v + s - 43, -4*s = -4*v + 68. What is the highest common divisor of 4 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2648\/72 - 6\/(-27). Suppose i*b - 21243 = 1845. What is the greatest common divisor of b and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5440)\/(-100))\/34*(-70)\/(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**3\/h**(3\/8)*(h**1)**(-2\/29))\/((h\/h**1)**(-7\/10)*(h**(1\/4))**(4\/29)) assuming h is positive.\nAnswer: h**(585\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -2909, 1, -465 in decreasing order.\nAnswer: 1, -465, -2909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*k**2 + 25*k**2 + 9*k**2 + 8*k**2.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2864 and 20.\nAnswer: 14320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1467.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 - 11*r**2 - 8*r + 6. Let u be c(-10). Is ((-2833)\/2)\/(7\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -50, -191, -426, -755, -1178?\n\"Answer: -47*m**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -7*m**2 + 140*m - 9. Give z(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*o - 346 + 351 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71203 is divided by 407.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -98 - -140. Let i = -8 + h. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 21*b - 7*b**2 + 23*b - 17*b**2 to the form w*b + k*b**2 + c and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3762741.3 + 3764272.2053. Let w = m - 1531. Round w to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -8016*q. Let s(v) = -3031*v**2 - 4. What is o(s(r))?\nAnswer: 24296496*r**2 + 32064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2499551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 49876532449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -12, -0.4, -0.127, -43.6, 2?\nAnswer: -0.127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 50 - 41. Let g be 3\/v - (-2800)\/(-3). Let k = 1391 + g. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-5\/3)*(d*d**1)\/d)\/(d**(-2\/3)\/d)**(-13\/8) assuming d is positive.\nAnswer: d**(-19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - f - f + 5 = 0, 15 = -3*z + 4*f. Let m = 7 + z. Suppose 2*i - 3*j = -m*i + 15, i + j = 2. Sort i, -1, -2.\nAnswer: -2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 699041143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -2*j**2 - j + 5. Let v(z) = 5*z**2 + 3*z - 11. Calculate 7*t(n) + 3*v(n).\nAnswer: n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 4:13 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -52215 + -55589. Let u = z + 107823.00064. Let v = u + -19. What is v rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 5*s**3 - s**2 + 4. Calculate f(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 - 7*b - 5. Let d be c(-6). Let u be -2 + (d - (-18)\/22). Let a = -45 + 40. Put 0.3, a, u in decreasing order.\nAnswer: 0.3, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 5:56 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -12  (b) 4  (c) -2.7  (d) -2\/17  (e) 0.4  (f) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -48*y - 143. Let v = 245 - 266. Is l(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of f**7\/1120 - 3*f**5\/160 - f**4\/16 + 11*f**3\/3 + 10. Let t(x) be the third derivative of a(x). Factor t(m).\nAnswer: 3*(m - 2)*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 a, and 1 p when three letters picked without replacement from {a: 2, p: 1, m: 1, o: 1, n: 1, z: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 13.065 to one dp.\nAnswer: 13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1722314 to the power of 1\/2, to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2*z = -166, x = 7*z - 3*z + 172. What is the smallest common multiple of 32 and x?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + 6 - 8 - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of w**3\/2 + 23*w**2\/2 + 13*w. Let y be a(-11). What is the units digit of (((-36)\/(-10))\/(-3))\/(y\/25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 7*w**3 + 2*w**2 - 19*w. Let x(k) = -111*k**3 - 33*k**2 + 303*k. Let q(f) = -33*r(f) - 2*x(f). Find the second derivative of q(a) wrt a.\nAnswer: -54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -0.039  (b) 4  (c) 0.06  (d) -5  (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -17 - (3 - (2 - 3)). Let a = 24 + z. Solve -2 = -a*w + w - 4*l, 23 = -4*w + l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9294029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 467142872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -121, -128, -147, -184, -245, -336, -463?\n\"Answer: -g**3 - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 - 7*k**2 - 5*k + 9. Let r(o) = -5*o**3 + 27*o**2 + 19*o - 35. Let q(d) = 2*r(d) + 9*v(d). Calculate the least common multiple of 5 and q(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of 4*o**5\/5 + 2*o**4 - 35*o**3 + 58. What is the third derivative of k(n) wrt n?\nAnswer: 96*n + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-4))\/((-1314)\/(-22776))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 13 = -3*y, 5*y + s + 14 + 4 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -j, i - 10 = -3*i + j. Suppose -k + 53 = -4*s, 2*k - i*s = 213 - 77. Is 29 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -7*h + 1. Let f(i) = 7*i. Let c(y) = 6*f(y) + 5*v(y). Differentiate c(z) with respect to z.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -166, -154, -142, -130?\n\"Answer: 12*f - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-39)\/(-15) - (-4)\/10) + 3. Suppose 0 = 2*o - x*o + 24. Is ((-116)\/o)\/((-34)\/1887) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = x. Let k(i) = i**3 + i**2 - 2*i - 192. Let n be k(x). Calculate the remainder when 2 - (1 + n\/4) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 13*k**2 - 38*k - 192. Suppose 45*m = 74*m + 203. Let t(x) = -9*x**2 + 26*x + 128. Let s(a) = m*t(a) - 5*h(a). Solve s(n) = 0 for n.\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19 - -3. Suppose 5*w - 21 = 79. What is the lowest common multiple of a and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-24) + 20\/((-480)\/(-126)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.009 + -0.009. Let t = 1.8 + 0.2. Sort t, 0.2, f in descending order.\nAnswer: f, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*c**2 + c**2 + 3438846 - 3444476.\nAnswer: c**2 - 5630","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.0624 - 0.0376. Which is the biggest value?  (a) -41.1  (b) -1\/5  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 12 and 7.8?\nAnswer: 93.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1)*(-606*w - 11214 + 11214).\nAnswer: -1212*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.3, -4.3, -24?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.5 and 1999.\nAnswer: 4997.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -59 - -59.00000845. What is p rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12 - -31. What is the remainder when 56 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2218875 - -0.1273631.\nAnswer: 0.3492506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 137*18*(54\/(-60) + 1). Let z = -247 + n. Is 15 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnhu when four letters picked without replacement from nnhsumbunmnbmnunhn.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 AM and 3:36 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 448*n + 4933. Let a be m(-11). Let w = -8\/15 + 47\/60. Factor 1\/4*f**a - w*f - 1\/2*f**4 + 1\/2*f**2 + 0 + 0*f**3.\nAnswer: f*(f - 1)**3*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -19*b - 557. Give j(-29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -16\/29037019 or -1?\nAnswer: -16\/29037019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -44, -46, -50, -56, -64?\n\"Answer: -u**2 + u - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6788713*x**4 - 17159110*x?\nAnswer: -81464556*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5.632 - -1.632. Which is the closest to 1?  (a) i  (b) 2\/13  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 1 l when three letters picked without replacement from lbblttllbb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 5*a + 3. Let p(h) = -h - 2. Let m(o) = 6*p(o) + 2*x(o). Let g(c) = -13*c + 19. What is -2*g(b) - 7*m(b)?\nAnswer: -2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -204 = 60*f + 156 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, l: 2, q: 6, z: 4, d: 3}. What is prob of picking 1 d and 2 a?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*t = 14937 + 18932. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c + c - c)*(2*c + c - 2*c) - 2*c**2 + c**2 + 3*c**2 - c**2 - 6*c + 6*c + 3.\nAnswer: 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/1*6\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 4*q + 10 = -0*m, m = -2*q - 2. Let z be 2 - m - -2 - -2. Let r(f) = -f**3 + 3*f**2 + 4*f - 6. Give r(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 4) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (8 - 2 + 3)*(-6*j + 10*j**2 + 6*j) + (-2*j + 2*j + j)*(5*j + 0*j - 2*j) + (4 - 2*j - 4)*(-2*j + 0*j + j) as u*j**2 + b + r*j and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -7 - (-20 + 8) - (-3 - -2). Let k(f) = -7*f**2 + f + 7. Let q(v) = -13*v**2 + 2*v + 13. Calculate y*q(i) - 11*k(i).\nAnswer: -i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 66 - 61. What is the second derivative of y*q + 0*q**2 - 10*q + 13*q**2 + 4*q wrt q?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/4)\/(((-2)\/(-3))\/(38\/57))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1119, -2237, -3355, -4473?\nAnswer: -5591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 - -201?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 5792, -22, -5, 4 in increasing order.\nAnswer: -22, -5, -3, 0, 4, 5792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 - (-4 - (3 - (5 + 1 + 0)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(175) + -1.\nAnswer: -1 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -15*r + 203. Determine t(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -9 - -5 - -5 - -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lldd when four letters picked without replacement from {d: 2, l: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 194, 309, 496, 761, 1110, 1549?\n\"Answer: r**3 + 30*r**2 + 18*r + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 299 = -0*y - 5*k, 0 = -y - 5*k + 81. Let z = y - 56. Suppose 6*i - 171 = 3*i. Calculate the remainder when i is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1004\/39 - -33844\/273. Let l = j + -150. Let r = 11 + -13. Which is the nearest to -0.1?  (a) r  (b) 3  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 40*p. Let x be v(1). Find the common denominator of (-2)\/4 - 178\/x and (-8)\/(-6) + 530\/480.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -27 - -27. Suppose -11*j + 210 + 54 = k. Let t = 37 - j. Calculate the greatest common divisor of 26 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -434115 at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 357*128526\nAnswer: 45883782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 601 + -601. Suppose z = -5*g + 3*y + 257, g + g - 78 = -5*y. Calculate the remainder when g is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 + 4*w**2 - w + 2. Let g(c) = 4*c**3 + 20*c**2 - 4*c + 475. Let k(n) = g(n) - 4*m(n). Differentiate k(b) wrt b.\nAnswer: 24*b**2 + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2377, 4646, 6915?\n\"Answer: 2269*s + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 241, -1\/2, -1, 6, -16204, 2?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/(-72)*(-1)\/((-7)\/3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and (-58)\/(-6) - 6\/(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a**5 - 148*a**4 - 3890*a**3 - 40320*a**2 - 79488*a + 718848 = 0.\nAnswer: -24, -16, -13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**2 - 5*k + 7. Let m be y(-5). Solve -g - 3*c + 9 = -6*c, -g - m = c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1736981 > -1736979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -3*g**2 + 1074*g - 96123 = 0?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 615515408.\nAnswer: 2, 38469713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7976, 31619, 71024, 126191, 197120, 283811?\nAnswer: 386264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u**4 + 10*u**3 + 55*u**2 - 60*u - 180 = 0. Calculate u.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {l: 2, z: 2, g: 1, k: 3, v: 1, c: 6}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**2 - 3*h + 3. Let j be o(-4). Let z(t) = -3*t**2 - 3*t + 2. Let l(g) = 1. Let u(s) = j*z(s) + 2*l(s). Find the second derivative of u(c) wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1580.1 - 1658. Round s to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -50602 - -0.8?\nAnswer: -50601.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12666 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -122009 + 9 + (-2 - 0 - -2). What is t rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -4*w + 5. Suppose -k = 3*t + 2*t - 8, -4*k + 32 = -t. Let j(h) = -6*h + 8. Let v(i) = k*g(i) - 5*j(i). Let z(b) = -2*b**2. Give z(v(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1505303 (base 6) to base 13\nAnswer: 30624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10.99011 + -0.00911. Let q = j + -11. Let o = q + 0.01873. Round o to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*h - 2584 - 4940. Let g = 1577 - h. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {v: 6, g: 1, b: 1, u: 8}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/58?  (a) -1384  (b) 0.3  (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -49*v. Let y(i) = 6*i. Calculate o(y(z)).\nAnswer: -294*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*w + 568 - 6620. Calculate the greatest common divisor of 2581 and w.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.1 * -0.996.\nAnswer: -2.0916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -23*n + 120. Let c be w(5). Let s(v) = -4. Let d(p) = p - 5 - 2*p + 5 + 5. Determine c*s(o) + 4*d(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -8918114907 less than -0.115?\nAnswer: 8918114906.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -74*h**2 + 5628*h - 373. Give k(76).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-112)\/200*10*80\/32?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 6*b - 513*b**2 + 3*b - 10*b.\nAnswer: -513*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 105569+-31.08\nAnswer: 105537.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (28\/231)\/((-30)\/55)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 44022 + 13114?\nAnswer: 101140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -340 = 56*j - 778 + 214 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 + 16*l**2 - 10*l + 14. Let j = 44 - 59. Let o = 6 + j. Is v(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 42 and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(8) - sqrt(40)\/sqrt(5)) - (2*sqrt(64))\/sqrt(8)) + -1 - (5 + sqrt(968)*2*-3).\nAnswer: -6 + 128*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42963 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -50.5.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - (8 + 15) - (2 - 14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 199 - 31 = 4*m. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/49  (b) 1  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4160\/(-650))\/(4\/(-50)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -a**4 - 2*a**2 - 4024 - 18*a**3 + 4022 - a**4 - a + 0*a**4 to t*a + c + z*a**4 + k*a**2 + h*a**3 and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 10 - 7*o**3)*(0*o**2 + 4*o**2 - 2*o**2 - o**2) + (-17*o - 25*o + 14*o)*(-o**3 - 2*o**4 + o**3).\nAnswer: 49*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7270 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 - -9. Let r(i) = -i + d*i + i + 12. Let x be r(-6). Solve x = s - 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.24 + -7016.999.\nAnswer: -7017.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 10*p**2. Let o(x) = 3*x**2 + 2*x**2 - 3*x**2. Calculate o(f(h)).\nAnswer: 200*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*b = -63*b + 28 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.0283 and -140090354?\nAnswer: 140090354.0283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 - 9*n**2 + n - 3. Let u be r(9). Let k(l) = l - 1. Let t be k(u). Suppose -t*x = -0*x - 70. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 2223429 = 46*d - 0*d. What is the ten thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -537987*f**2 + 47*f + 1780. Let j be w(-15). Round j to the nearest 1000000.\nAnswer: -121000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 84\/(-39) + -3 + 41\/13. Is l greater than -99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -2*x - 65. Give m(-18).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 AM and 8:17 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 2738*r**2\/5 - 148*r\/5 + 2\/5 = 0. Calculate r.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-33)\/44*62\/31.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -510 - 996 = -6*u. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22156.\nAnswer: 2, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 11) to base 12.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -111*v**3 - 9325*v**2 - 170*v - 7220. What is l(-84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12.6 + -12. Let t = -3.6 + m. Let p = -205\/1044 - 3\/116. What is the nearest to -1 in -4, p, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4273576031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 81877063441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -117, -213, -287, -339, -369?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*u - u - l, -2*l + 12 = 3*u. What is the highest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103561963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-12) + (-26)\/(-12). Suppose 214 = 3*n - z*t, 0 = 2*t + t - 3. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -107 + 247. Is 35 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -6*i - 6. Let p be (21 - 344\/16)*(12 + -2)\/(-1). Let n(t) = 5*t + 6. Determine p*n(u) + 4*z(u).\nAnswer: u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3964\/20 - (-12)\/(-10). Which is bigger: -1\/10 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 34 or 466852?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 247282 and 12.\nAnswer: 1483692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 15*((-40)\/(-12) - 3). Suppose -60 = -g*u + 4*o, 0*u + o = 3*u - 29. Solve -3*l - 2 = -u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*b - 166 - 93 = 708 - 127 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1131354.\nAnswer: 2, 3, 7, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 - -10. Suppose 2*b + 0*b**w + b**3 - 5*b**3 + 2*b**5 + 0*b**2 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, c: 2}. Give prob of picking 2 h and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5535663, -11071317, -16606959, -22142583, -27678183, -33213753, -38749287?\n\"Answer: s**3 - 5535661*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (6 - -7) + -5 - 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10126177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4, 23, 118, 317, 656, 1171, 1898?\nAnswer: 2873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -210555 (base 6) to base 3.\nAnswer: -212101222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (6\/40)\/(30\/1780) and -113\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1+6784\nAnswer: 6783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*u + u + 49 - 53 + 0*u to m*u + o and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 20607217 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 384 divide 695808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 4 = 5*a, a = 2*r - 14. Let q = 9 - r. Calculate the greatest common divisor of 2 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.72 - 4.92. Put x, 0.5, -18, 1 in decreasing order.\nAnswer: 1, 0.5, x, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.005872171 to 5 decimal places.\nAnswer: -0.00587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1783, -3380, -4979, -6580, -8183, -9788?\n\"Answer: -q**2 - 1594*q - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*k - 406 = -4*t - 87, -12*k - 5*t - 203 = -14*k + 9*k for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*u + 16*u - 675 = 0. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from baauajjjaaeja. Give prob of sequence ebj.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/27)\/(1\/3)*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 448, 8, -2, -42, -5, -3 in descending order.\nAnswer: 448, 8, -1, -2, -3, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1491 = -r + 8*r. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-38)\/((14\/(-21))\/(976\/(-3477)) + 3\/(-8))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**2 - 1 + 1. Let k(f) = 1. Suppose -16 = -4*d - 3*u, -3*d - 4*u = -2 - 17. Let h(s) = s + 6. Let i(o) = d*h(o) - 6*k(o). What is g(i(r))?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -4*n**2 + 2818640*n + 87381684 = 0.\nAnswer: -31, 704691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 9338313 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: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1df - 0?\nAnswer: 1df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 PM and 3:31 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-12)\/(-14))\/(1\/7). Let v(d) = d**3 + 2*d**2 + 2. Let q be v(-2). Suppose 5*y - q*y = -l. Put -1, y, 1 in decreasing order.\nAnswer: 1, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 38*m - m + 599 + 478 + 477 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 221*a + 2 - 135*a to r*a + m and give r.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -8*y + 39. Let q = 10 - 2. Calculate the smallest common multiple of q and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -438 - -496. Suppose k = 18*a + 4. Solve 2 = -2*u - 5*m - 1, a*m = 2*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g + 5 - 5 + g - g + 2*g + 0 + 0 - g + (-3 + 3 - 1)*(2*g - 2*g - 2*g) + 5 - 5 - 3*g)*(8 - 1 - 1).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 2 j when four letters picked without replacement from gjjgggjgggggjgjggg?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -27 - 3\/4*c**2 + 45\/4*c.\nAnswer: -3*(c - 12)*(c - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -54 - -11. Let k = 60 + x. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -26621 + 37800. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 367\/470 - 17\/94. Let g = 20 - 19.94. Which is the fourth smallest value?  (a) n  (b) 0.4  (c) g  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 153550303?\nAnswer: 7841, 19583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 7*r**2 + 97*r - 89. Is n(-31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.541 rounded to zero dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and -1908.\nAnswer: -763.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 m when three letters picked without replacement from mmcmccmccmmmpcccm?\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of w**10\/166320 - w**9\/9240 + w**8\/2464 - w**7\/1980 + 8*w**4\/3 + 81*w. Let n(q) be the third derivative of t(q). Factor n(l).\nAnswer: 2*l**2*(l - 7)*(l - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 5584368.\nAnswer: 1675310.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -103.427*-0.4.\nAnswer: 41.3708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11*f**4*z + 2*f**3*r*z + 12*f**3*z + 2*f**3 - f**2*r - 1077*z wrt f.\nAnswer: 264*f*z + 12*r*z + 72*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes before 11:54 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*n**2 - 440*n + 440*n + n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 s when three letters picked without replacement from {w: 5, s: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 607 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 280 - 277. Suppose -5*d = q + h*q - 219, -2*d - 5*q + 91 = 0. What is the remainder when 130 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 26 = 3*d, 4*d + 6 = 14. Suppose -m*s + 136 = f - 2*f, -5*f + 145 = 5*s. Suppose q = -2*b + 37, b + s = q - b. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 191.91 + -191. Let v = z + -0.11. Let o = 1.19 - v. What is o rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 139 - 65 = 0. Let g = 71 + v. Suppose -2*s + b = -104, 3*s - 153 = g*b - 0*b. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (6 - 6) - (-7 + (3 - -2))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 12:25 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14141 and 311102?\nAnswer: 311102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 441797208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -5138.43 to the nearest one hundred.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 184 + -462. Let g = 278.00123 + r. Round g to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 669 by -3.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*o**2 - 4*o**2 - 5*o**2 as i + v*o**2 + t*o and give v.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32308943 is divided by 241.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 686895 and 6831.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 637\/128755 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -422, -427, -432?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3448785 - -13641215. Round s to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 329589297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 AM and 6:16 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is n in n**2 - 10072*n + 25361296 = 0?\nAnswer: 5036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -2*p - 2. Let y be z(2). Let h(t) = t + 8. Let s be h(y). Suppose -4*x - o = -0*o - 106, -5*o = s*x - 44. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-2\/9)*v*((v*v**(2\/11)\/v*v)\/v)\/v*v*v*v**(3\/8)*v**(-1\/3)\/v assuming v is positive.\nAnswer: v**(793\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.5, -5, -20270, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 17307259 from -1.083.\nAnswer: -17307260.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -406, -2980, -9884, -23284, -45346, -78236, -124120, -185164?\nAnswer: -263534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 take away 14937474694667?\nAnswer: -14937474694680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -87*z + 55*z - 256 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4327229 rounded to the nearest one hundred thousand?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) 3  (c) 1  (d) 1\/6  (e) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2273*g + 1565*g + 2999*g + 2462*g + 1982*g.\nAnswer: 11281*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 647 - 750. Let r be ((-5)\/(-11))\/(d\/(-1133)). Put r, -1, -231 in increasing order.\nAnswer: -231, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -756718 = -756718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -64b18 (base 14) to base 4.\nAnswer: -323133002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 38\/(-11) + 504\/(-924)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 - 7*z**2 + 8*z - 9. Let y be n(6). Solve 8 = -y*g + g - 2*h, 12 = -3*h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * 102532023.\nAnswer: 51266011.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 211861.6 centuries to months.\nAnswer: 254233920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -87, -183, -279, -375?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9015 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 11:00 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -129668336.\nAnswer: 1\/129668336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 172\/3 - 866\/15. What is the third biggest value in -5, 0.5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 4*f - 33. Let s(m) = -m + 11. Let p(g) = 2*q(g) + 7*s(g). Let v be p(-9). What is the second derivative of 3*z - v*z**5 + 2*z**5 - z**5 wrt z?\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 791 divide 1951094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -1307525.514 to the nearest 1000.\nAnswer: -1308000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.108 - 1.892. Let u = -2413\/21 - -115. Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8377 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -81 - -121\/3. Let b = 41 + u. Find v, given that 1\/3*v**4 + v**2 + v**3 + b*v + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 48\/2*(-11)\/(-33). Let m be z*1*(-4 + 3). Calculate the common denominator of m\/11 + (-27)\/18 and -69\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33543121*4\nAnswer: 134172484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-52))\/(224\/(-56)*(-1)\/(-4))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from pbbhpbpbbpebbbhb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -68*u - 296. Let o(h) = -53*h - 299. Let j(y) = -5*o(y) + 4*q(y). Give j(43).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 10) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 8*p)*(p - 3*p + 5*p) + (2*p - 11 + 11)*(-1 - p + 0 + 3).\nAnswer: 22*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*p + 86*p + 528 = 57*p for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 9) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*y**5 + 3*y**4 + 60*y**3 - 15*y**2 - 48*y + 12 = 0. Calculate y.\nAnswer: -2, -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/8 and -61\/452?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-12)\/15 + (-14)\/(-5). What is the biggest value in k, -0.171, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3462*g - 3696*g - 2880*g.\nAnswer: -3114*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 2*p - 14, -4*s + 0*s - 3*p = -11. Suppose 3*r = s*r - 198. What is the highest common divisor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 170 + -46. Suppose 2*a = 2*p + 3*a - y, -199 = -3*p + 5*a. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31 (base 7) to base 11\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/(-9)*(-3)\/(-2). Suppose -w*m + 14 = -0*m - 3*g, 4*m - 38 = g. Let p = m - 3. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49893427.\nAnswer: 29, 37, 46499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 3062*-1.601\nAnswer: -4902.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(120))\/sqrt(12))\/(sqrt(22)\/sqrt(396)).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 3*i**2 - 3*i + 3. Let q be r(2). Let g = q - 5. What is the second smallest value in 0, -2\/7, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c**2 - c**3 + 3*c**2 + 3*c**3 - 2*c - 3*c**3 to q + j*c + n*c**2 + r*c**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 12 = 0, v + v + 184 = 3*t. Suppose 3*n - 579 + t = -y, 3*n = 5*y + 521. List the prime factors of n.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 5*x + 16 = 0. Suppose 0 = -2*i - x*z + 32, -2*z = -i + 6*i - 120. Round i to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 26?  (a) -0.1  (b) 277\/3  (c) -3\/17  (d) -2  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2 = 7. Let t = x - -6. Solve 3*p = -u - 13, 4*u = 5*p - 0 - t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 6 - 1 + 3*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 plus -6310718238?\nAnswer: -6310718236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*j**2 - 4*j**2 - 2*j**2 + ((-1 + 2 + 0)*(j + j - 4*j) + 4 - 4 + 3*j)*(4*j - 16*j - 18*j)*(3 - 1 - 9).\nAnswer: 209*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 7:47 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1986 >= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zop when three letters picked without replacement from zoppbpep.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*g**2 + 8*g**2 - 3 - 3*g + 12*g**2 + g**3 + 2 in the form q*g**3 + t*g**2 + j*g + i and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:24 PM and 11:09 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -38 + 68. Let k be 36\/(-10)*n\/(-18). Put 4, k, 1 in ascending order.\nAnswer: 1, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1258 is divided by 259?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3834, -15396, -34666, -61644?\nAnswer: -96330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*k + 89 = 131 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.13 - 0.13. Let x = 3 + -3.3. Which is the third smallest value?  (a) 2  (b) x  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes after 6:24 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.06203359 to 4 decimal places.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 46*o + 145 = 45*o, 0 = o + 1. Suppose -3*x + 2*x + 12 = 0. Calculate the highest common divisor of x and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 5*q + 0*q = 20, 5*r - 5*q - 20 = 0. Suppose -3 = s + 2, y + 5*s - 85 = r. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -190831, -381661, -572485, -763303?\n\"Answer: 3*m**2 - 190839*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + -101000101100011?\nAnswer: -101000101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -5*q**2 + 235*q - 745. Determine j(44).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.03 - -0.03. Let q = 565 + -349.5. Let v = -215 + q. Which is the third biggest value?  (a) 0  (b) v  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 14 - -6 - 217140\/10976 and 23\/448.\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 - 4*g**2 - 14. Let i be a(-6). Let f = 63 - i. Solve 0 = 4*d - f + 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3689 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 + 10*r**2 + 11*r + 3. Let h be k(11). Let q be (3\/6)\/((-1)\/(-46)). Solve o + 2*o = -4*a + q, 15 = h*a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 4:34 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 16) to base 4.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -d304 (base 15) in base 11?\nAnswer: -30524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 35 = 5*j, -4*x - 170*j + 11 = -172*j + 43 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32 + -1 + (0 - (-19 + (38 - 14))).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/45 + 0)\/(12\/((-6156)\/(-399))).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 202986166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from {t: 7, n: 5, q: 1, w: 1, h: 2}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1521 - 650959*g - 1521.\nAnswer: -650959*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00131216 rounded to 5 decimal places?\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -3*l**2. Let t(k) = 18680*k. What is t(j(n))?\nAnswer: -56040*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -75, -113, -151, -189?\n\"Answer: -38*g - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -212*x**2 - 215*x**2 - 213*x**2 - 193*x**2 - 219*x**2 + 1265*x**2 - 211*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106*u - 5026 = -824 - 2188 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*n - 2 + 2 - 10*n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**4 + 9*o**3 - o**2 - 9*o.\nAnswer: o*(o - 1)*(o + 1)*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 264 and 7326.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2686 divided by 79\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3553956 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -61 times -2.75\nAnswer: 167.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.8668357 litres?\nAnswer: 866.8357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, -101, 2, 409 in descending order.\nAnswer: 409, 5, 2, -3, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/5 of a week in minutes?\nAnswer: 88704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 744, 3084, 6996, 12474, 19512, 28104, 38244?\nAnswer: 49926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -25, -79, -173, -307, -481, -695?\n\"Answer: -20*r**2 + 6*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.08, 5, -4, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 20594443751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*12513.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 196 = 4*t - 11*b + 308, b - 4 = 0 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1.7  (b) -2  (c) -5  (d) 6  (e) -10.89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**3*h**1)\/((h\/(h**5*h))\/(h\/h**5)) assuming h is positive.\nAnswer: h**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 18549137 a multiple of 795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1181 - -1180.8187. What is t rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5 + -5)*(-8)\/(-24). Which is the third smallest value?  (a) 2\/3  (b) 0.3  (c) -0.72  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 + 14*a**2 - 4*a - 4. Let d be 63\/(-14)*8\/(-6). Let c be (-15)\/(1 - d) - 17. What are the prime factors of r(c)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 - -14. Let z = 22 - 14. What is the least common multiple of s and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5475*z - 5462*z - 1807. What is the lowest common multiple of z and 2?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5445861 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 251 - 566. Let t = -191 - r. Round t to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 2*g**2 + 7*g + 81. Let v be h(-17). Let d = -424 + v. What is the remainder when d is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11053 (base 6) in base 3?\nAnswer: 2010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 19 = 13. Suppose 0 = -q + 4*b + b + 8, 14 = 3*q - 5*b. Solve -3*f - 5 = t - 19, 4*f + n = q*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 41 = -82. Let s = x + 44. Solve 4*f + 9 = -s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3 and 101942066.29.\nAnswer: 101942063.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from mmmzzbsxzzszxjs.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -148, -295, -442, -589, -736?\nAnswer: -883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**3 + p**2 + 361*p + 2357. Calculate f(-16).\nAnswer: 933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/6, -0.65709, -1, 5 in descending order.\nAnswer: 5, 1\/6, -0.65709, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.31 and 100412932.\nAnswer: 100412932.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6283911.\nAnswer: 3, 2094637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 247975, 991870, 2231687, 3967426, 6199087, 8926670, 12150175?\n\"Answer: 247961*l**2 + 12*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 4*p - 24. Let o be w(6). Sort 1, o, -2 in descending order.\nAnswer: 1, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 10755*t - 75295. Calculate j(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -20 + 15 - (1 - 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -2*((-2 + sqrt(833) + -2 + sqrt(833))**2 + sqrt(833) + 0 + 5) + -4.\nAnswer: -6706 + 210*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 + 46*c**2 - 40*c + 3. What are the prime factors of f(45)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -537*n**3 - 112*n**2 - 18178*n - 32?\nAnswer: -3222*n - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -148647 minus 3?\nAnswer: -148650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 64*n**2 + 52*n**2 + 14*n + 111*n**2 - 26*n**2 - n**2 + 0*n**2 + 0*n**2 + (-n**2 + 4*n**2 - 2*n**2)*(1 - 4 + 1).\nAnswer: 198*n**2 + 14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/551709 and -28\/295.\nAnswer: 2758545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2801 a factor of 573539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*h + 7377 = -325223. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = d - 4 - 4, -r = -2*d + 6. Solve r - 8 = 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 PM and 9:15 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 71 - 51. Let q = f - 12. Suppose 5*w = -3 + q. Let v(p) = -4*p**3 + p**2. Calculate v(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 108292158.\nAnswer: 2, 3, 13, 97, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3.8515 and -9.28.\nAnswer: -13.1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1426364.\nAnswer: 2, 356591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 3088225040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12655373.121246 - -2.\nAnswer: -12655371.121246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 + 22 = -11*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add -11.39419257 and 2755.\nAnswer: 2743.60580743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 23*k - 49*k + 18*k. Let m(u) = -13*u**2. Determine l(m(f)).\nAnswer: 104*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 203, 788, 1761, 3122, 4871, 7008?\nAnswer: 9533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-17975)\/50*-7214 - -20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14085163.\nAnswer: 17, 397, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (28 - 28 + 5*g**2)*(4 - 4 - g**2) as a*g**2 + k*g**3 + m*g + d*g**4 + v and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 6*p = -3*p + 3, 27 = 2*i - 5*p. Let q(o) = 5*o - 23. Let w be q(i). Let s(a) = 7*a - 20. What is the tens digit of s(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1082*y - 546 = -1040*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 67801, 67960, 68111, 68248, 68365, 68456?\nAnswer: 68515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*z + 29*z - 70*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 81 = i, -2*i + 164 = 7*c - 4*c. Let n = -80 + i. Solve 2*o = -n*u - 0*u + 7, 3*u = -2*o + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 73 - 53. Calculate the highest common factor of a and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67*o = 447 + 166 + 258 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 714*y**2 - 96*y. Let a(b) = -204*b**2 + 27*b. Calculate -18*a(r) - 5*f(r).\nAnswer: 102*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-2)\/(-5)*(-14 - (-17)\/((-442)\/(-20969))) is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 269705?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -1204826 at least -1204820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 6*d - 23 = 3*d, 11 = 2*b + 3*d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-h - h + 0*h)*(8*h**2 - 2*h**2 + h**2) - 89*h**3 - 24*h**3 - 63*h**3 to w*h + j*h**2 + m*h**3 + i and give m.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 86 or 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 32 = -4*o, -55777 = 3*q + 4*o - 55750 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + (1 + 34)*1. Suppose -13 = -f + 11. Suppose 5*o - f = -o. Solve 4*i + o*z = x, z = -3*i + 7*i - 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7024 divided by -3?\nAnswer: 7024\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -18628 or -11808?\nAnswer: -11808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6  (b) -2\/5  (c) 2  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = 5*q - 5*s, 25 - 67 = -4*q + s. Solve -2*h - q = 0, 6*h + 15 = b + 3*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1689 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -6*m**3 - 4*m**2 + 7*m - 3. Let g(l) = -3*l**3 - 2*l**2 + 4*l - 2. Determine 7*g(y) - 4*r(y).\nAnswer: 3*y**3 + 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -21.97 - 0.03. Let t = -17 - b. Let r be 1\/3*3\/(-2). What is the closest to r in -0.2, 1, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1888\/(-118) + 26 + 2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*v**3 - 76*v**2 - 160*v = 0. What is v?\nAnswer: -2, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (4 + -88)) + -236 + 271.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 23 - 52253?\nAnswer: -52230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00034809741 rounded to 5 decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*r + 2*r - r**3 + (r + 2*r - r)*(-2 + r**2 + 2) + (14*r**2 + 4*r**2 + 7*r**2)*(r + 3 - 3) as b + v*r**3 + x*r**2 + o*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 + 14*h**2 + 8 + h + 2*h**4 - 38 + 10 + 10 in the form r + g*h + l*h**3 + z*h**2 + q*h**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 835599839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 41*i - 4. Is o(4) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6969d03 - -4?\nAnswer: 6969d07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2 + 2)*(4 - 5). Let i be 33\/9 + 4\/(-6). Suppose -5*f = -z + i*z - 42500004, g = 4*f - 4*z - 33999992. Round f to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -1 + (sqrt(7) - (sqrt(7) + sqrt(28)\/sqrt(4))))**2.\nAnswer: 4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, s: 2, d: 3, c: 2}. What is prob of sequence dc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -2\/35  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 70*s**2 - 59*s**3 - 33*s**3 + s - 1 - 75*s**2 + 0*s. Is o(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express z - 10*z**2 - 1 - 3*z**2 - z in the form b + p*z + v*z**2 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -101*t - 7. Let m(h) = -185*h - 13. Let x(y) = -6*m(y) + 11*o(y). Let i(j) = 20*j**2 + 18*j - 18. Give 2*i(c) + 36*x(c).\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -547 - 1*(-12)\/6 - -2. Let u = -507 - h. What is the highest common factor of u and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 180.\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -21 * 11\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*d + 20*d - 6*d**3 - 32*d.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19 and 4237.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1082 + -1081. Is 10\/943 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -185240.9891 + 185040. Let q = 31 - -170. Let a = c + q. Round a to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000372828774 rounded to six decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(288) - sqrt(288)*-2)*-5)\/((2*sqrt(30)*-5)\/(sqrt(240)\/sqrt(12))))**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -28476604 by -7119151.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -14*m**3 + 4*m**2 + 4*m. Let u(g) = -13*g**3 + 3*g**2 + 3*g. What is 3*n(k) - 4*u(k)?\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2 + 3*b - 3 + 0. Let o(k) = k**2 - 2*k - 14. Let r be o(5). What is x(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1133 and 166279080.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {v: 1, b: 2, c: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**2 + 5*n - 5*n)*(-2 - 37*n**2 + 42*n**2 + 3).\nAnswer: -5*n**4 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3174849 a multiple of 1593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4490*c + 4462*c - 22339*c + 4464*c + 4462*c + 4462*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 974489423 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-34)\/(-10) + 2\/(-5). Suppose -4*a + 10 = -f*a. What is the lowest common multiple of a and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -27, -68, -119, -186, -275, -392?\n\"Answer: -j**3 + j**2 - 37*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 + 9. Suppose a = 5*c + 85 + 1085. List the prime factors of 10\/35 - c\/14.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14607095779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 228 + -3731?\nAnswer: -3502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i**5 - 126*i**4 + 1311*i**3 + 504*i**2 - 5292*i = 0. What is i?\nAnswer: -2, 0, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 11, 2, -16 in decreasing order.\nAnswer: 11, 2, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.9628351 nanograms?\nAnswer: 0.0000000000000009628351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 814928 or 814947?\nAnswer: 814947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 3336*p = -3312*p + 122, 3*p - 11 = 2*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5*b - 2*b - 5*b)*(-2 + 2 - 2) - 16*b - 12*b - 32*b.\nAnswer: -56*b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the first derivative of -100*k**3\/3 - 615*k**2\/2 - 2025*k - 7. Let v(b) = 9*b**2 + 56*b + 184. Let m(r) = 4*n(r) + 45*v(r). Factor m(f).\nAnswer: 5*(f + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 + 198?\nAnswer: 198.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 1062*o**3 + 7*o - 505. Let j(q) = -9*q**3 - q - 1. Let v(d) = 6*j(d) + r(d). Find the first derivative of v(n) wrt n.\nAnswer: 3024*n**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 327311678 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 38467 * -30\nAnswer: -1154010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -1084.5 to the nearest ten.\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/((-27)\/(-2))*20\/(-20)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*((-19)\/(-380))\/((-14)\/8).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.3 + -5. Let s be (-10)\/6 - 42\/18. Let d be (10\/18)\/(690\/(-276)). What is the biggest value in s, f, d, -0.05?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4717575000 to the nearest 1000000.\nAnswer: -4718000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.09 + 62.09. Let y = t - 61. Let h = -8 + 7.7. Which is the closest to y?  (a) -2\/15  (b) h  (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -16, -46, -76, -106, -136, -166?\n\"Answer: -30*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 271479669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 134 + -46. What is the remainder when n is divided by (-4)\/(-6) + (-1397)\/(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 49*j + 677. Give y(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 107*q + 1283. Let i be a(-12). Is -210\/109 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1536*t - 1538*t + j + 1 = 0, -22*t - 45 = -3*j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1987, 4491, 6995, 9499?\nAnswer: 12003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 159.50829 minutes in hours?\nAnswer: 2.6584715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 14 = o, -4*o + 5*w + 10 = o. Let k be 4\/(896\/360) - o\/8. Let t = 1 + 0. Is t less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(114)\/sqrt(6)*-1 + -1*sqrt(76) + sqrt(684)*1.\nAnswer: -3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4 + 7\/((-196)\/8). Suppose -6*v + 26 = 8. Which is smaller: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.01 and -32032.\nAnswer: -32032.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40 - 40 - 2*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2*h = 2*h, 3*x + 4*h = 0. Let f(w) be the second derivative of x - w - 1\/30*w**5 + 1\/9*w**4 + 0*w**2 - 1\/9*w**3. Solve f(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 89 + -57. Suppose -3*j - 2*j = -240. Calculate the highest common factor of q and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * 0.29.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-32 - -34)\/(18 - 40))\/(1\/(-12)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 2*s**2\/7 + 812180*s\/7 - 215368150\/7 = 0.\nAnswer: -406355, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-5*(-10)\/(-125))\/(104\/5980)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 421096 (base 11) in base 9?\nAnswer: 1237733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from {t: 1, a: 1, q: 1, f: 1, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*p + 120 - 103 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/6*3668\/(-262)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zhhv. What is prob of sequence vh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 1 - 5 = 0, -4*a - 1 = -5*k. Suppose -21*h - 1023 = 72*h. Let q(b) = -3*b + 11. Let s(n) = n - 4. Give a*q(m) + h*s(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 16, 86, 254, 568, 1076?\n\"Answer: 8*o**3 + o**2 + 11*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 133 + -98. Let l(j) = -814 + 814 - i*j**2 + 36*j**2. Let k(v) = -89*v. Let m(x) = 45*x. Let t(o) = -2*k(o) - 5*m(o). Determine l(t(p)).\nAnswer: 2209*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*s = -32*s - 855. Calculate the highest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the second derivative of -11*r**6\/15 + 9*r**2 + 26*r. What is the derivative of t(g) wrt g?\nAnswer: -88*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1417935 - -5?\nAnswer: 1417940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3, e: 4}. What is prob of sequence ese?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 + 10*b**2 + b + 1. Let i be t(-10). Let j be (0 - 10\/(-15))*i\/(-2). Factor -1\/7*w**5 - 1\/7 + 2\/7*w**j + 2\/7*w**2 - 1\/7*w - 1\/7*w**4.\nAnswer: -(w - 1)**2*(w + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20689 divided by -20689.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 100033230 - 2?\nAnswer: 100033222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 91, -8127, -1.\nAnswer: -8127, -8, -1, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + j = 0. Suppose 2*o + t - 5 = j, 6*o - 3*o - 4*t = 2. Solve 0*r + 4 = -o*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 206*a + 205*a + 227*a - 856*a + 217*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of 89*u**3\/2 - 301*u**2\/2 - 334*u. What is the first derivative of p(r) wrt r?\nAnswer: 267","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w + 291 + 213 = 0. Let s be w\/(-15) - (4 - 6) - -3. Sort 0, s, 2\/5 in increasing order.\nAnswer: 0, s, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.01, -0.949, 0, 3, 7, -1.2?\nAnswer: -0.949","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are -579 and 95 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1069*w - 3 = -1072*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2566, 2514, 2428, 2308, 2154?\nAnswer: 1966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 466 is divided by (-10)\/(-2)*-1*(-1769)\/145?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r = 5*k + 15, 4*k + 0*k + 12 = 2*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2\/2 + 3162*y + 4999122.\nAnswer: (y + 3162)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the first derivative of -5*r**2\/2 - 1460. Let j(a) = a**2 - 30*a. Calculate j(q(h)).\nAnswer: 25*h**2 + 150*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 at least as big as 1.66147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 - -112131?\nAnswer: 112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 16*c - 6. Let t be j(6). Suppose 2*d = -2*o + t, 2*o - 46 = 5*d + 65. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/((-160)\/28) + (-2)\/(-8). What is the nearest to 0.5 in 5, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1911*g**6 - 1790632 - 1144*g**2 + 1790632 + 303*g**2 wrt g.\nAnswer: 229320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23*(-154)\/(-11132)*(-7)\/(-28)*8?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4935 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum -4 and 72303247157800.\nAnswer: 72303247157796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44701 + 7*o + 44701 + 2*o**2.\nAnswer: 2*o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*t*((t**(-4)*t)\/t)\/t))\/t*t**(-28) assuming t is positive.\nAnswer: t**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14 - 0) + -37 + 60 + 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of l**6\/24 + 7*l**5\/16 + 5*l**4\/8 - 48*l. Factor c(n).\nAnswer: 5*n**2*(n + 1)*(n + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 12276817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.3 + 0.5. Let i be -2 + (-45)\/378 - 2\/(-7). Let v = i - -73\/30. Which is the second biggest value?  (a) f  (b) 2  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1276 - 347 = -3*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - q**3 + 0 + (0*q**2 + 0*q**2 + 2*q**2)*(12*q - 15*q + 5*q))*(-24*q + 14*q + 13*q).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4.72042 and 12898?\nAnswer: 12893.27958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3176 - -5486. Let t = 4283 - d. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.1000045 + 2.1. Round q to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**3 + 13*n**2 - 2*n + 20. Let v be u(13). Is (-6)\/36*v - -8886 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 13*c - 96. Let q be (4\/22)\/((-6)\/(-66)). Is (q\/11 - c\/44) + 1461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14 - -32. Suppose -2*r + 254 + 206 = 0. Calculate the greatest common divisor of r and t.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5416543837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -120 + 477\/4. Let h = 0.1405 - -91.5595. Let g = -92 + h. What is the closest to -2\/7 in m, 2\/13, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**5*t*t)\/t**(-1\/3))\/((t**(-3)*t)\/t)**(-2))**(-47) assuming t is positive.\nAnswer: t**(-188\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 + 479163*i. Let h(q) = 43*q. Give l(h(c)).\nAnswer: 1849*c**2 + 20604009*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 6.043044 nanograms?\nAnswer: 0.000006043044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the second derivative of f**7\/42 - f**5\/20 + 6*f. Solve d(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*u - 10 = 3*u + 4*y - 3, -y = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2161 (base 7) to base 5.\nAnswer: 11103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) 4\/3  (b) 4  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -87 - -100.3. Let k = -0.7 - h. Let t = k + 13.7. Put 2\/7, t, -8 in ascending order.\nAnswer: -8, t, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 237*b - 243. Is q(27) a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*q + 113 + 48 = 94 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 137\/5236 and 77\/272.\nAnswer: 20944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 2*u + 430. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-432 + 33*g**2 + 432)*(-5 - 2 + 5) - 17*g**2 + 47*g**2 + 11*g**2 - 2*g**2 + 0*g + 0*g as x*g**2 + p + b*g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7537430 to the nearest integer?\nAnswer: 2745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10011011 (base 2) to base 12.\nAnswer: -10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 45650 = -21*t. Suppose -16*m = 155 - t. Calculate the highest common factor of 96 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of -11*v**7\/840 - 41*v**6\/160 - 77*v**5\/60 - 19*v**4\/8 - 4*v**3\/3 - 1473*v**2. Solve r(x) = 0 for x.\nAnswer: -8, -2, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*1*2*((1*sqrt(147) - sqrt(147)) + sqrt(147) + 0 + 3*(1 + sqrt(147)))**2.\nAnswer: 336*sqrt(3) + 4722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 - 2*c - 7. Let b be a(5). Let d = b + 52. Suppose 5*j + 4*f - 16 = 35, j - 5*f = 16. Which is smaller: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -401 - 1969 = -158*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/5)\/k)\/k**(1\/7)*k**(1\/9)\/(k\/k**(3\/22)) assuming k is positive.\nAnswer: k**(-10363\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the second derivative of -189*z**4\/2 + 1509*z**2\/2 + 5*z + 127. Find the first derivative of r(c) wrt c.\nAnswer: -2268*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.76369ms to microseconds.\nAnswer: 3763.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*2*sqrt(1584).\nAnswer: 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*k - 166 = -6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of 2*t**6\/3 - 16*t**5\/5 + 2*t**4 + 16*t**3\/3 - 6*t**2 + 936. Determine j so that d(j) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 + g**2 - 10. Suppose 5*c = 8 + 2. Suppose c*r + 4 = -4, -z + 2*r = -8. Give i(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*z**2 + 4*z**2 + 25 - z**2 - 4 in the form f*z**2 + m + h*z and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1415 - 1418. Let s = -0.13 + 9.13. Let h = -13 + s. Put h, -2, r in increasing order.\nAnswer: h, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-39)\/1698)\/(7\/172). Let c = 2\/283 - d. Let f = 837728\/17 + -49278. Put -2, f, c, 0.1 in descending order.\nAnswer: c, f, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-12)\/4)\/(5 + -4). Sort 4.29, 4, u, -5 in descending order.\nAnswer: 4.29, 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(350)*3)\/(sqrt(252) + (sqrt(252) - 2*sqrt(252)) - sqrt(252)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, 1088, 3237, 6442, 10697?\nAnswer: 15996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w**2 + 108*w + 122. List the prime factors of z(52).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + 203?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that x**2 - 9*x - 22 = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50791 = -24*j + 37*j. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 999614677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1544 - 21605\/14. What is the common denominator of 11\/272 and a?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/(-5*sqrt(7)*2).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 103826770?\nAnswer: 2, 5, 211, 49207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*(-33)\/(-77))\/(1\/(-7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16440 by 5.\nAnswer: 3288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 3 + 6)*(-2*h + 1 - 1) + 124*h - 201*h - 912*h as j*h + i and give j.\nAnswer: -993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 + 1\/(66\/(-75)). Let o be 40\/25*(-15)\/(-66). Let g = b - o. What is the closest to g in -2\/21, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 - 37*p - 8. Let s(b) = 3*b**2 - 113*b - 22. Determine -11*g(r) + 4*s(r).\nAnswer: r**2 - 45*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 122279370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 851130888 and 14.\nAnswer: 5957916216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -897.90491 rounded to the nearest ten?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001002907356 rounded to 6 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/5  (b) -1  (c) -1\/4  (d) -3\/38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 + 19*c**2 + c - 20. Suppose -11 = -2*b + 2*u + 27, -4*b = 5*u - 76. Give q(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 - -7. Suppose -28 = -m*z - 2*z. Suppose -1 = -2*c + z. Solve 2 = 2*g - 4*w, 7*g + 13 = 2*g + c*w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**2 - 2*d**2 + 2*d**2)*(-7 + 5 + 3 + d).\nAnswer: -2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (49 - (9 + 38)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2032122 (base 4) in base 16?\nAnswer: 239a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one fifth of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 2*t**2 + 5*t - 5. Let l(n) = 2*n**2 + 6*n - 5. Let d(a) = 6*c(a) - 5*l(a). What is the derivative of d(k) wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*-8.127.\nAnswer: 1.6254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19874 = 9*s - 6865. What are the prime factors of s?\nAnswer: 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 639104 to the power of 1\/2, to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14 in -12, -2\/19, -1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7\/(-21)*(2\/(-10))\/((-9)\/15). Let m = 0.7 + -0.2. What is the fourth smallest value in -1, m, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2700) + -4*sqrt(2700)*-2)\/(sqrt(18)\/((sqrt(72)\/sqrt(3))\/sqrt(12))).\nAnswer: 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 - 14*c**2 - 49*c + 1. Let r be o(-6). Let n be (1 - 0)*(-4)\/(-1). Suppose 25 + r = n*w. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -46, -46, -2, 86, 218?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 + 12*x**2 - 15*x + 2. Determine d(10).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 40\/(-494)*52250\/5500?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1140 and 11780?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5123 is divided by 366?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, -12\/22093, 1, 2\/23, 5 in descending order.\nAnswer: 5, 1, 2\/23, -12\/22093, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71365 + 17577*a + 71365.\nAnswer: 17577*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -1164*j - 968. List the prime factors of p(-12).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 - 9*v + 13. Let z be t(8). Suppose -25 = 5*w - 5*u, -z*w = -6*w - u - 1. Put -2, w, -5, -20 in increasing order.\nAnswer: -20, -5, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and -0.4824.\nAnswer: 0.09648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the second derivative of 1207*n**4\/12 + n**3 - 3*n**2\/2 - 39*n. Is t(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.025633s to milliseconds.\nAnswer: 25.633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4e0 (base 16) to base 11\nAnswer: -a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9300 and 415621650.\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5)\/((-20)\/64) - -3. Suppose 15*h + 32 = n*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 989*a - a**2 - 989*a - 9 to q*a + i*a**2 + l and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/40*(2 + 0).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 129089075?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 2 + 1)*(2937*t - 578 - 576 + 1737 - 583) as q*t + y and give q.\nAnswer: -2937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 0 - 1) + -136 + 125\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-85)\/(73\/(-511)*-7).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -350446 - -2?\nAnswer: -350444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2*p**3 - 197*p - 4*p**3 + 13 + 197*p.\nAnswer: -2*p**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 669*r + 16. Let v be y(2). Suppose -v + 4354 = 10*z. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -8\/3  (b) 3  (c) 4  (d) -1\/6  (e) -0.0062\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - 174903547?\nAnswer: -174903545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 8262 = 15*u. Let h = -1913\/4 + u. Calculate the common denominator of h and 85\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20973\/47 <= 446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 + 11*v**2 - 12*v - 12. Let l be n(-12). Let f = -10 - -32. Calculate the remainder when 630\/l*4\/(-5) is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x. Let y(g) = 6*g + 2. Let p(m) = -5*r(m) + y(m). Let o(s) = -3*s - 5. What is -2*o(z) - 5*p(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3745339?\nAnswer: 13, 61, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkkkkkkkk. Give prob of picking 4 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/20 and -29\/1485.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 21034, 21045, 21062, 21085?\n\"Answer: 3*c**2 + 2*c + 21029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -8*l + 233. Let y be w(30). Let i = 20 - 6. Let s be (-1 + (-4)\/(12\/y))\/i. Which is the nearest to 1\/4?  (a) 1  (b) s  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 92 + -391. Let r = w + 425. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15 - 12. Let a(h) = f*h + 1 + 6*h + 4 + h**2. Let k be a(-8). Sort -2, 3, k in descending order.\nAnswer: 3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1373, 2930, 5629, 9470?\nAnswer: 14453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 65*k**2*o**3 - 2*k**2*o**2 + 11*o**2 wrt o.\nAnswer: 390*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -12 divided by -990470\nAnswer: 6\/495235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3324 by -2.\nAnswer: -1662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2662289 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -7*i + 112. Let a be b(15). Let t be (43 + -46)\/((6\/a)\/(-2)). Solve -4 + t = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/2)*h**7\/h)\/((h\/h**4)\/h**(-4)))**(9\/7) assuming h is positive.\nAnswer: h**(99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*b - 90*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/252 and -40\/143031?\nAnswer: 1716372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/10?  (a) 0.2  (b) -0.01  (c) -355\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1229422, 2459229, 3689036?\n\"Answer: 1229807*f - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -253937386.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 1267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h + 131. Let d(w) = -231*w - 1. Determine d(n(c)).\nAnswer: -231*c - 30262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1.913 times -13\nAnswer: 24.869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -9*b + 135. Let z be i(15). Suppose 4*j - 8*t + 13*t - 61 = z, -5*t - 15 = 0. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*h - 178 = -41*h. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 16\/32 - (-7)\/2. Let p(m) = 5*m**2 - 3*m**2 - q*m**2. Let f(a) = 13*a**2. What is p(f(v))?\nAnswer: -338*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - -3 - 3) + 17. Let t = y + -5. What is the remainder when 24 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -2 - (6 + -3 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.429 times -22\nAnswer: -9.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 14 - -551?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-3)*3)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:14 PM and 12:59 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 140\/9  (b) 3\/2  (c) 0.4  (d) -3\/2  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 2.1. Suppose 5*x - 8 = 3*x. Let v(u) = u**2 - 4*u. Let d be v(x). What is the third biggest value in d, y, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -440.7, 54.6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -595 + 606. Suppose 0 = -0*j - u*j. Solve -5*a + 19 = 2*h - j*a, -a + 7 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13, 17, 29, 49?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (14\/12)\/((1102\/(-57))\/29)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 2*s - 0*j + 23, 2*s + 14 = 2*j. Let v be 2\/(-3) - (-4)\/6. What is the tens digit of -1*(v - 2) - s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 11013 = 3*l, -14684 = 7*l - 11*l - c. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((16728\/(-204))\/82)\/(19\/(-4)).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 - 30*f + 274. What is the remainder when 48 is divided by q(-37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 86 - 126. Let j = a + 66. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 505.4 + -35.4. Let q = n - 469.999783. Round q to 5 decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 174906, 349785, 524664?\n\"Answer: 174879*p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 750 divided by -50.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 22\/14020119 and 47\/14020119.\nAnswer: 14020119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 569*h - 116. What is m(0)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1419 in 5\/9, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/4)\/(2\/60). Let c = -45 - -53. Let i = c + k. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -504 - 20?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 76 and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19813083 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = a + 3, 5*a + 13 = 2*z - 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -842 or -4208\/5?\nAnswer: -4208\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 103613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 20*(-4)\/(-32)*2. Let d be (67\/134 + (-94)\/28)*63\/18. Put t, -8, d in descending order.\nAnswer: t, -8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uffuuffuuffff. What is prob of sequence fffu?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (288\/(-30))\/(9\/210*-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from ccbbb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n + 2*n - 2*n**3)*(-2*n**2 + 2*n**2 - 2*n**2) + n**5 - n**5 - 2*n**5 + 423041*n + 182*n**5 - 423041*n + 8*n**2.\nAnswer: 184*n**5 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -4 + 0 + -1 + 0. What are the prime factors of (-1)\/s - (-1356)\/20?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 AM and 5:00 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of q**4\/12 - 9*q**2\/2 + 11*q. Let t be v(-3). Suppose -3*n + 2*m = 4 - t, 0 = -n + 3*m - 13. Solve n*u = -u + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.51 and -20333513.\nAnswer: -20333512.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -2 - 3 + 2*n + 7. What is a(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**3 - 5670*o**2 - 17028*o.\nAnswer: 2*o*(o - 2838)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(100\/(-28))*12\/42?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2 - 7*t + 5. Let l be (1 + 23)*5\/15. Let u be a(l). Let g = u + 14. Calculate the remainder when 106 is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 + 3 - 4)*(-4*d - 2*d + 4*d).\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 348, 354, 364, 378, 396, 418?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20.3 + 20. Put 4, w, 2\/9 in increasing order.\nAnswer: w, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2\/7 + 30624*s + 214354.\nAnswer: 2*(s + 7)*(s + 107177)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -11*r + 17892 - 8932 - 8954. Let i(d) = -5*d + 3. Give -9*i(m) + 4*s(m).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the first derivative of z**5\/25 - 2*z**3\/15 + z\/5 + 4. Factor n(o).\nAnswer: (o - 1)**2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 7:54 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3950950 and 38254?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 80496 divided by 13416\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -25 - 20. Let p = -4 + h. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 171 + 22037?\nAnswer: 22208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -422041 - 0?\nAnswer: -422041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/105*(-1)\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 + 81*x**2 + 1058*x - 4780. Calculate c(-63).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that l**5 + 2067*l**4 + 1065018*l**3 - 3207466*l**2 + 3211605*l - 1071225 = 0.\nAnswer: -1035, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 396 and 66?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 25522 and 622569084?\nAnswer: 4357983588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -666 + 685 - (-1 - -11) - (85 + 2 - -2)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 190 and -9.51?\nAnswer: -1806.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 46985714 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -2\/7, -38984, 18, 10 in increasing order.\nAnswer: -38984, -2\/7, 0.1, 10, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.76 - -0.7. Let t = -201 + 339. Let l = 133 - t. Put l, j, 5\/6, 0.5 in descending order.\nAnswer: 5\/6, 0.5, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -87\/64 and -3 + 508\/(-30)*40\/(-128).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -3*c + 230, 0*c + 5*c = 10. Calculate the greatest common divisor of k and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*n**2 - 4*n**2 + 0*n**2 in the form s + z*n**2 + t*n and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b + 3. Suppose 0 = -4*j + 32 - 0. What is the units digit of f(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (0 + sqrt(11) + (sqrt(66)\/sqrt(3))\/sqrt(2))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -18020.421 plus -3330.3?\nAnswer: -21350.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 - 6*t**2 - 2. Let c be g(6). Let m be 2\/(-7) - 52\/14. Let b be ((-9)\/(-6))\/((-15)\/m). Does c = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 101216, 101236, 101270, 101318, 101380?\nAnswer: 101456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/(-146)*(-77 + (-33894)\/(-441)).\nAnswer: 1\/146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 + 6*t**2 + 13*t - 80. Let u be q(6). What is the third smallest value in -1, 1, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 + 17*r - 89. Is m(31) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s + s - 3*s + (2*s - 2*s - s)*(-1 - 2 + 2) - 1 - 2*s + 1)*(-4*s + 4*s + 3*s**3) - 2*s**4 + 13*s**4 - 5*s**4.\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 86\/33 + -36\/11. Let b = 51.25 - 0.25. What is the nearest to l in -0.5, b, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 34778 + 1 + (2\/(-3) - 576\/108)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mlul. What is prob of picking 1 u and 1 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**4 - 6*n**3 + 19 - 19.\nAnswer: -3*n**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*h**5 + 41015*h**4 + 191650*h**3 + 219110*h**2 + 27405*h - 41085 = 0. What is h?\nAnswer: -3, -1, 1\/3, 2739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the second derivative of 0*s**3 + 0 - 2*s + 0*s**4 - 1\/4*s**5 - s**2. Differentiate v(y) wrt y.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 9 - 2)*((2*s**2 - 4*s**2 + 3*s**2)*(-1 + 1 + 2) + (-2*s + 0*s + 0*s)*(3*s - 6*s + 2*s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 158.7 and 6741\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -427688*a**4 - 335845*a**2 - 2 wrt a?\nAnswer: -10264512*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 184630 is divided by 92?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1, 174 in descending order.\nAnswer: 174, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*d - 152886*d**2 + 38*d - 76097*d**2.\nAnswer: -228983*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjjjjjdjjdjd. Give prob of sequence jdj.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -32.44869 + -3463783.\nAnswer: -3463815.44869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5*6\/(-15))\/(((-210)\/(-5))\/21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*x**2 + 6*x**2 + x**2 + (x + 3*x - x)*(-x + 3 - 3) - 2*x**2 + 7 + 4*x**2 + 0*x**2 in the form m + c*x**2 + a*x and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from yukzb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -143952 (base 11) to base 10.\nAnswer: -224754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1.09851, 3, -3\/2, 17?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5442886 - -59806645\/11. Let l = x + 5914. Find the common denominator of l and -1\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wvwwvwwvvvwww.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 311871040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16 + -11. Suppose 4*k = -4*z + 24, -3*k + 5 = -k - 5*z. Suppose -k*j + 31 = -9. What is the remainder when j is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/2)\/t)**12*(t**(2\/3))**(-17) assuming t is positive.\nAnswer: t**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -425 - -2969\/7. Let k be (-2)\/9 - (4 - 340\/72). Which is the closest to -1?  (a) m  (b) k  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t**5\/5 + 210*t**4 - 29364*t**3\/5 + 181272*t**2\/5 - 50688*t = 0 for t.\nAnswer: 0, 2, 6, 22, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.6 + -3.6. Let d be 6\/(-2)*(-14)\/(-210)*-1. Which is the closest to t?  (a) 2  (b) -5  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-461)\/(-63157))\/(-2*5\/(-20))?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Is 1313 a factor of 1054245777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 58*v = 53*v + 57, 15 = -5*v. Suppose q + 70 = 6*q. Suppose c = 8*d - q. Solve -m - 19 = 5*y - d, -15 = 3*m + 5*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*a + 4*a + 22 = 0. Suppose -4*p - 74 = -d + 31, -a*p - 10 = 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 13\/8 of a micrometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -61 - -179. Let i = j - 31. What are the prime factors of i?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15.297963 + 15.261. Let j = -0.037 - y. Round j to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-16)\/2 + -2*(-18)\/9. Put 1, 6, r in descending order.\nAnswer: 6, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 324 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5603444 by -77.\nAnswer: -72772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of -k**7\/42 - k**6\/8 - 4*k**2. Factor p(b).\nAnswer: -5*b**3*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -16.36, 3, 0.3, 0, 0.27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.54 - 0.06. Let r = 0.7 + 0.7. Let s = r + i. Which is the third biggest value?  (a) s  (b) -0.4  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 166635 and 324?\nAnswer: 5998860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 161 + -160. Let q = -96 - -30. Let u be y\/(-5) - q\/30. Solve 2*o + 16 = -u*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f. Suppose 5 = -3*r + 2*r. What is h(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 766 is divided by 137.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 17, -962205, -4 in descending order.\nAnswer: 17, 2, -4, -962205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(((o*o\/o**(-5\/8))\/o)\/o))\/(o*o*o*(o**(2\/45)\/o)\/o) assuming o is positive.\nAnswer: o**(-241\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2947428 divided by 22.\nAnswer: -133974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*v - 8 + 8)*(-3*v**3 + 3*v**3 - v**3) + (22*v**4 - 6*v**4 + 10*v**4)*(1 + 1 - 3) as l*v**3 + s + w*v + h*v**4 + t*v**2 and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*v**2 + 58*v**2 - v**2.\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**3\/5 + 463494*d**2\/5 - 11122704*d\/5.\nAnswer: -2*d*(d - 231723)*(d - 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 + 18*i**2 - 61*i + 44. Let o be j(13). Suppose -92*g - 4*n = -o*g + 432, -4*g - n + 457 = 0. Is 113 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*s + 3*s = -2*s - 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -3*n + a, -11*n + 2*a - 12 = -10*n. What is the nearest to -13 in -3\/4, 3, -1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5760*o = 45893 - 403013 for o.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1342 (base 9) to base 8\nAnswer: 1762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of -o**3\/3 - 5*o**2\/2 - 4*o + 1. Let c be d(-4). Suppose -2*b = -8 - 2. Solve b*a + 2 - 27 = c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28963776 a multiple of 976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + 4. Suppose -o*f - 3 + 43 = 0. What is the least common multiple of 14 and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 - 6. Suppose g + z - 15 = j*z, -25 = 5*z. Solve -4*t = -5*t - g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/210?  (a) 27  (b) 1\/2  (c) -11  (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -48*y**2 + 13*y + 5. Let m be p(-10). Let b = 7324 + m. Is -4 - ((-5)\/((-15)\/12) - b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hghhhg. Give prob of sequence hg.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -26 - -27. Let w(p) = -4*p + 0 + 2 + 2*p - p**3. Let n(l) = -l**3 - l**2 + 1. Determine c*w(r) - 2*n(r).\nAnswer: r**3 + 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the first derivative of -4*i**2 + 19*i - 148. Differentiate l(k) with respect to k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -2628*n + 28. Let t(u) = 478*u - 5. Calculate 5*i(k) + 28*t(k).\nAnswer: 244*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -3*u**3 + u**2 + u - 8. Let t(j) = 5*j**3 - j**2 - 2*j + 12. Determine 8*q(x) + 5*t(x).\nAnswer: x**3 + 3*x**2 - 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q**(-4)\/q)*q*(q*q**36)\/q assuming q is positive.\nAnswer: q**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -520*q - 164 = 415 - 59 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*w - 117 = -39 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 2*g. Let o(i) = 3*i - 2*i - 8*i. Calculate o(r(x)).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 4 = -6*b. Determine q so that -4*q**b + 4*q**3 + 6*q**4 + 4*q**2 - 6*q**4 - 4*q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 4*t**2 - 2*t + 6. Let b be y(-4). Let u = b - 74. Suppose -4*o + 6 = -2*v, -5*v = o - 3 - u. Solve -1 = o*h - h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2*3*16\/24. What is the third derivative of -a*h**6 + 0*h**6 + 8*h**6 - 4*h**2 wrt h?\nAnswer: 480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 5*b + 6, 9 = -5*b - 1. Let y = 7614\/17 + -448. Is h <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -10763, -43085, -96949, -172355, -269303, -387793?\n\"Answer: -10771*h**2 - 9*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1051 - -1056. Which is the closest to 3?  (a) 4  (b) s  (c) 0.03  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21 + 19*l + 21)*(-102 - 38 - 61).\nAnswer: -3819*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -70, -74, -80, -88, -98, -110?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3\/6 + (-12)\/(-24)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 129 = -3*k, 20 = -3*o - o. Let b = k + 78. Suppose w + 2*r - b = -3*w, 4*r = 4*w - 36. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 148630 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 + 0\/(-1 - 2). Suppose 5*i - j + 8 = 0, -8 = -2*i + 5*j - r. Let l be 1\/i - 27\/(-6). Solve 2*p - 3*p - 4*x = -8, -l*p + 8 = 4*x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8850523 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2185000566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22170*q**3 + 21705*q**3 - 4*q**2 + 4*q**2 - 45432*q**3.\nAnswer: -1557*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37229895813 + -7.\nAnswer: -37229895820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -178*v + 2043. Let i be x(12). Which is smaller: i or -2\/43?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -5212 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2255.\nAnswer: 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -5, -16, 1\/27149, -4 in descending order.\nAnswer: 4, 1\/27149, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 233*r - 2745 = -72*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 133 - 137. Let l be 10002 - (o\/(-1) - 2). Round l to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 4*j + 3. Let v = 13 - 28. Let k be (-25)\/(-4) - v\/20. Let o be w(k). What is the highest common divisor of 155 and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and 58776.\nAnswer: 11755.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**2 - 9*b. Let q be i(9). Suppose q = m + 1 - 6. Let d(k) = -2*k**2 - k. Let l(f) = -f**3 - 4*f**2 - 3*f. Let y(r) = m*d(r) - 2*l(r). What is y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 91 - 88. Let n(i) = 2*i + 3*i - 4 - 13*i. Let x be n(-3). Solve -w = p*g + 10, -2*w = -g + w - x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 + 8*v - 12. Let m be o(6). Suppose -3 + 1 = -p. Calculate the least common multiple of -5 + 2 - m - (3 - 12) and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4\/((-12)\/(-75)))\/1. Let o(h) = -4 - 18 + 1 + 17*h - h**3 + 7*h - 11*h**2. Let w be o(-13). What is the greatest common factor of c and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58, -97, -138, -181?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, 2, -2\/7, -17, -735 in descending order.\nAnswer: 2, 2\/5, -2\/7, -17, -735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x**3 - 71*x**2 + 27*x + 212. Determine c(35).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 48011\/8 - 6013. Suppose 15 = 4*h + 3. Calculate the common denominator of p and h + 1\/4*-15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/144 and -27?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124*l - 710 = -2074. Let p(t) = -3*t + 29. Let x(f) = -16*f**2. Let q be x(1). Let s be p(q). What is the highest common factor of l and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the third derivative of -f**4\/24 + f**3\/6 - 2*f**2. Let p(h) = -6. Let g(w) = 2*j(w) + p(w). Suppose -4*z + 8 + 8 = 0. Determine g(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 8*d. Let x(b) = 845*b. Determine v(x(r)).\nAnswer: 6760*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = h - 1. Let o be ((-144)\/40)\/(6\/(-20)). Is (o\/h)\/4 + 24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -2\/13, -192, 0.\nAnswer: -192, -2\/13, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**4\/8 + 343*b**3 + 29694*b**2.\nAnswer: -b**2*(b - 2828)*(b + 84)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 - 9*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-2*(sqrt(2299)*3*-6*2)**2 + -1)*3.\nAnswer: -35754051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2224140 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 82230 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3381*1.\nAnswer: -0.3381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1738*j**3 + 1747*j?\nAnswer: 10428*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f + 16. Let n be b(-6). Factor -n*z**3 - 10*z**3 - 2*z**5 - 22*z**2 - 2 - 15*z**4 - 10*z + 5*z**4 + 2*z**2.\nAnswer: -2*(z + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m and 1 b when four letters picked without replacement from {v: 4, h: 7, t: 2, f: 1, b: 2, m: 4}?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -212\/595 + 6\/85. Which is the third smallest value?  (a) 5\/2  (b) 5\/4  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3253, -4333, -6133, -8653, -11893?\n\"Answer: -360*p**2 - 2893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 161369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -470.5 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-4) - 14\/(-4). Suppose q - 6*c - 5 = -2*c, 4*q + b*c = 20. Let i = -1 + q. Solve t = -i*t + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -60ca5 (base 14) to base 8.\nAnswer: -707041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 = -0*a + 5*a. What is the tens digit of a\/(1*(-1)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3213322000 + -212?\nAnswer: 3213321122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6777?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 19*f - 2620 = -14*f, -5*v + 5*f + 3280 = 0. Let a = v + -650. Let o(x) = x**3 - 10*x**2 + x - 2. Calculate o(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 217021 divided by -5?\nAnswer: -217021\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24085547 by -1.\nAnswer: -24085547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6039310369*b**2\/6 - 1321121*b\/3 + 289\/6 = 0. Calculate b.\nAnswer: 17\/77713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22690 is divided by 11335.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.9 times 29\nAnswer: 26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 49*b. Let f be v(4). Suppose -2*j + 45 = -4*t - 53, 4*j = -2*t + f. Suppose 0*s - s = -j. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2 - 590*j + 87025.\nAnswer: (j - 295)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9720 - -9902. Calculate the greatest common factor of 6279 and n.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 times -34?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1790429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/(-10))\/(7\/((-70)\/2)). Suppose 3*v = 15, 4*s - t*v + 1576 = -13562. Let z = s - -7501. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6040*b - 72268 - 86435 - 88432 = -59895 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t = -4*t - 110. Let k = t - 17. Suppose -5*y + 5*p + 55 = 0, -y - 20 = -k*y - 4*p. Calculate the lowest common multiple of y and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -c**4*w**2 - 2903*c**2*w**3 + 6*c*w**3 - 1094*c*w**2 wrt c.\nAnswer: -12*c**2*w**2 - 5806*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -4  (b) -4\/9  (c) -2222  (d) 62  (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 78 + -75. What is the second biggest value in 4\/9, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 (base 8) in base 9?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 - (-291 + 2) - -1. Suppose -4*m - w = 2*g - 6, 2*g = m + 68. Let o = 149 + m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 71*b**2 + 33*b + 697. Does 56 divide t(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.9 in -2, -704\/107, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 197588048.\nAnswer: 2, 7, 31, 56909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -0.1  (b) 0.173  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/5, 14, 0.065?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i, 1 o, and 1 q when four letters picked without replacement from {a: 1, q: 6, i: 2, o: 2, j: 6}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17733\/2 + -8866. Let j be -3*1 - (-3 - -2). What is the closest to j in -0.5, 5\/4, f, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 7a48c1 + 80?\nAnswer: 7a4951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 229775 (base 11) to base 7\nAnswer: 3045035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a**(-9)\/a)*a*a)\/((a*a**(9\/5))\/a)*(a*a\/a**(1\/17))\/((a\/(a\/(a*a**(-21))*a))\/a))**(-10\/13) assuming a is positive.\nAnswer: a**(-5974\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 514754 is divided by 11437?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4669368 divided by -67672\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 0, 2, 2\/89, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1765154464?\nAnswer: 2, 1187, 46471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/((-5)\/(2\/6*87\/(-116))).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 2*u - 12. Let z be v(9). Let j(g) be the third derivative of -1\/3*g**3 + 0*g + g**2 + 0 + 1\/120*g**6 - 7\/60*g**5 + 7\/24*g**4. Calculate j(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 18\/50639315 and -9\/50.\nAnswer: 506393150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 22*h**3 - 16 wrt h?\nAnswer: 66*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/3, -3, -0.9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00865767 to 5 decimal places.\nAnswer: 0.00866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 466015457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What is 45654578 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8255*a**4*j + 45*a**2*j**2 - 30*a*j**2 - 612*a*j + 2*a + 2*j**2 - 5*j wrt a?\nAnswer: -99060*a**2*j + 90*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*q**3 - 160*q**2 - 385*q + 1450 = 0. What is q?\nAnswer: -29, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 265 is divided by 157?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.29 + -0.49. What is r rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 minus 141631?\nAnswer: -141631.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00234770044 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 11070*m*n**3 + 3*m + 1697 wrt n?\nAnswer: 33210*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 51631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -27, -188, -495, -972, -1643, -2532, -3663, -5060?\n\"Answer: -4*g**3 - 49*g**2 + 14*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**6\/q*q)\/(q*q*(q\/q**(-8))\/q*q)*(q**(-2\/3)*q)\/q*q*q\/((q\/q**(3\/7))\/q)*q*q assuming q is positive.\nAnswer: q**(-5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzuzzzuuzzzzzzzzz. What is prob of sequence zzu?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 6*l - 61. Let n = -362 - -375. Let b be p(n). Solve -b*y - 2 = -16*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 19 and 0.05387?\nAnswer: 1.02353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 + -14. Suppose -3*t - 8 = 2*w, -5*t - 7 - l = 3*w. Which is greater: w or -21\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 - r**2 - r + 32. Let h be s(0). Let w = -3165 + 3453. Calculate the greatest common factor of w and h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*r**2 + r**2 - 3*r**2)*(-r - r**2 + r) + r - r - 2*r**4 as t*r + n*r**2 + f + v*r**4 + i*r**3 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 f, and 1 z when three letters picked without replacement from {o: 1, v: 3, f: 1, z: 1, j: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23 + 22. Which is the closest to s?  (a) -0.2  (b) -2\/5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -7*r**2 - 4*r. Let w(g) = 14*g**2 + 7*g. Let u(i) = 11*b(i) + 6*w(i). Let f(c) = 35*c**2 - 11*c. Calculate -6*f(x) + 33*u(x).\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) - (-2*(sqrt(5) + 2))**2)*-1 + sqrt(405) + -1 + -3.\nAnswer: 32 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 86505*b + 51790?\nAnswer: 86505","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 46 = 2*q + 3, -69 = -3*q + 3*s. Suppose -q = -6*w + 736. Calculate the greatest common factor of w and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 667822231*y**4 + 672281068 wrt y?\nAnswer: 2671288924*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.3 and -0.06?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 7 + 0 + 18 + 13 + (-31 - 13)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/((10\/(-4))\/(-5)). Let t(z) = -z**2. Let q(r) be the third derivative of -r**5\/15 - 35*r**2. Calculate w*t(y) - 3*q(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 863.4209mg to grams.\nAnswer: 0.8634209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -5181*m - 1295. Is c(-34) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.03 - 1.97. Let x = -2.2 - j. Let d = 0.2 + x. Sort 1, d, 3 in decreasing order.\nAnswer: 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10300 (base 5) to base 3.\nAnswer: -221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -726 or -728?\nAnswer: -728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 102022110 (base 3) in base 13?\nAnswer: 39a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wi when two letters picked without replacement from ibbiiiwibwiiwwbwi?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -496*p - 4001114 + 4010538 = 0 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gikrrix. What is prob of sequence ik?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 9*x**3 - 11*x**2 - 3. Let p(r) = -3*r**3 + 4*r**2 + 2. Calculate 4*a(m) + 11*p(m).\nAnswer: 3*m**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-13 + 9)*2)\/((-3)\/(-3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2785 or 24\/14537?\nAnswer: 24\/14537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1166*k - 228615000 = -1161*k. Round k to the nearest 100000.\nAnswer: -45700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4 - -1) + (1 - -5). Suppose -x = -1, j*x - 2073 = 4*i - 7*i. Suppose -5*k + k - 2*u - 1368 = 0, 2*k - 2*u = -i. What is k rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -215666 + 215666 + 196972*p.\nAnswer: 196972*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 + 29*o**2 + 73*o + 39. Let r be (-5 - -6)\/((-3)\/(-93)). List the prime factors of a(r).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 AM and 5:23 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*j**2 + 18*j - 10*j**2 - 18*j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*k + 20*k**2 - 15*k**2 + 3*k.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/154 and -15\/8374.\nAnswer: 644798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -142 (base 13) to base 3\nAnswer: -22021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1690974 at least 1690971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 4*l - 26 - 2 = 0, 5*l + 27 = -3*c. Suppose -4*j = -4*j + 6*j. What is the second biggest value in j, -4\/11, c?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -2\/3, 3\/5, 1\/2 in decreasing order.\nAnswer: 3\/5, 1\/2, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-8) + (66\/18 - 4). What is the closest to q in 2, 4, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*w = 5138 + 11566. Round w to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14.4 - -14.45. Let u = 23\/17 + -1\/51. What is the second smallest value in s, u, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14 - 33221310?\nAnswer: -33221324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4327?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 2*h + 4. Let s = 83 - -2. Let w = -40 + s. What is the remainder when w is divided by d(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 14, q: 1}. What is prob of picking 3 w and 1 q?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2)\/(-36))\/((-2)\/16). Let h be 162\/15*20\/6. Let y be 5\/(-35) - h\/(-7). What is the third smallest value in y, 2, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.01314 - -31.01314. Which is the biggest value?  (a) 0.4  (b) -0.2  (c) h  (d) 1  (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 413 (base 15) to base 3.\nAnswer: 1021000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {t: 17, v: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y + 4. Let z be l(0). Let t(a) = 2*a. Let v(n) = 3*n. Let i(j) = z*v(j) - 7*t(j). Let q(k) = -15*k**2. Calculate q(i(g)).\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -3*n - 1, 4*n + 3*x = 7*x + 4. Solve -2*c - 20 = n*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 12 - 9 - s - 9*s + 0*s - s**2. Let m be g(-11). Let d be 2*(-28)\/m - 4. What is the greatest common divisor of d and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 448116631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.3 - 3. Let q = -0.8 - 3.2. What is the closest to z in -5, q, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5326742090?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*b**3*w**3 + 8983649*b**3 - b**2*w**3 + b*w**3 + 23753885*w**2 wrt b?\nAnswer: -18*w**3 + 53901894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 + 4*p**2 - 2*p + 1. Let w be g(3). Suppose 0 = 2*k - l + 2*l + 8, 0 = w*k + 3*l + 16. Let f = -2 - k. Let r(m) = -5*m + 2. Determine r(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -31123, -68791, -106473, -144175, -181903, -219663, -257461?\n\"Answer: -n**3 - n**2 - 37658*n + 6537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1098 + 1096. Put -1, 0, 3, m in ascending order.\nAnswer: m, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3643\/84 + 240\/7. Calculate the common denominator of (-318)\/81*3\/4 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 5678, 22789, 51306, 91229, 142558, 205293, 279434?\n\"Answer: 5703*j**2 + 2*j - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3795616 divided by -5.\nAnswer: -3795616\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 253674172649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-18)\/465)\/((-14)\/(-30)). Let d = 6313\/4991 - c. Calculate the common denominator of d and 71\/2.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 20 - (6\/(-2) + 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1132.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/(l**12*l))\/l)\/(((l*l**(7\/5)\/l)\/l*l)\/l))**(1\/7) assuming l is positive.\nAnswer: l**(-67\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 4) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = 2*s + b - 282, s = 4*b + 132. Is s a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525601442 to the power of 1\/2, to the nearest integer?\nAnswer: 22926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o + 18. Let v be x(-9). Let w be (v\/(-6) - -1) + 1. What is the closest to 0.1 in -4, -3\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/((-15)\/((-165)\/(-286))))\/((-1)\/4).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/5)\/(o\/(o*o**(-14))*o))**37 assuming o is positive.\nAnswer: o**(-2849\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -913 + 1069. Let n = -155 + t. Let k = 0.8 + 2.2. Which is the closest to n?  (a) -13\/4  (b) k  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7 - 70?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4570464 a multiple of 1115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 4*v = -4*k - 67, 63*v - 185*v = 2*k + 2072 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 250111, 1000480, 2251101, 4001974, 6253099, 9004476, 12256105?\n\"Answer: 250126*w**2 - 9*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(6\/7)\/(b*b**(-1\/4)))**(3\/22)*((b\/(b**(-2\/7)\/b))\/b**(-1\/8))**(23\/2) assuming b is positive.\nAnswer: b**(34173\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 8 = -4*m, 5*m = 2*x + 12 + 19. Solve -16 = -7*f + m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1b (base 13) in base 5?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -4, 7, 0.5.\nAnswer: -4, -0.2, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 175739 = 176023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 151 + 159 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/3 or -310968?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 130 - 11 = 3*j, 5*b + j - 153 = 0. Suppose 4*p - 3*p - 20 = l, 0 = 5*l + 25. Calculate the greatest common factor of b and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 116 is divided by 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k - 4*k + 14069945. Let p = 295879 - -1138110. Let q = p - k. Round q to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 + 6. Let o(v) = -2*v**2 + 11. Let h(w) = -6*o(w) + 11*u(w). Let f(b) = -48*b + 1. Determine h(f(n)).\nAnswer: 2304*n**2 - 96*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9*j*n*z**3 + 168*j*n*z - 2*j*z**3 - 5*j*z**2 - 16*j*z - 15*z**3 wrt n?\nAnswer: -9*j*z**3 + 168*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - k**2 + k + 10. Let t be d(0). Solve -4*x + t = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 61, 78, 105, 148, 213, 306?\n\"Answer: l**3 - l**2 + 13*l + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.77950483 less than -5?\nAnswer: -6.77950483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 3 = -2*a. Let n = a + -30. Let w = n + 26. Put 11, w, 4 in decreasing order.\nAnswer: 11, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 359436656 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1, -30, -119, -296, -591, -1034?\n\"Answer: -5*u**3 + u**2 + u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 180 + 62. Suppose 0 = -75*p - 486 + 2136. What is the highest common divisor of p and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -2*a**3 - a**2 + 2*a. Let t be n(-2). Suppose -r - t = 3*r. What is the units digit of 1*(-1)\/r*16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/13, -2\/15, -40.99.\nAnswer: -40.99, -2\/13, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 - 5. Suppose -p*b - 2*z = -231 - 240, 375 = 4*b + z. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -36*c**3 - 18*c**2 + 5*c**2 + 1 - 39*c**3 + 14*c**2 to u*c**2 + f*c**3 + h + g*c and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -210 - -212. Let h(c) = -23*c + 783. Let p be h(34). Let l(m) = -m**3 + m**2 - m + 1. Let t(q) = 8*q**3 - 2*q**2 + 4*q. Give p*t(a) + u*l(a).\nAnswer: 6*a**3 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -451*b + 13. Suppose 13*u = 5*u + 24. Suppose 0 = 4*x + 3*c + 19, u + 4 = -2*x + c. Is k(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iwg when three letters picked without replacement from wwwnmngwwi.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 564278?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5514 in 2\/133, -36, 0.4, -2?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 + 0*s - 8 - 2*s**3 + 2*s + 7*s**2 + 7*s. Let v be z(8). Suppose v = -0*p - 2*p + 5*h - 5, 4*p = 2*h + 14. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-682248)\/(-36680))\/(3\/10).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10402 = -4*u + 250*s - 252*s, u = 3*s + 2604. What is the highest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 0 + 2)*(2*v + v - 4*v) to the form b + c*v and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 6 - 4. Suppose -4*j + c*j = -22. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -18, -63, -132, -219, -318, -423, -528?\n\"Answer: f**3 - 18*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11605 in -3, 0.3, -0.1, 32\/7, 0.4, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + 7 + -2 + 0. Suppose 0 = -h*p + 6*p + 2. Is 0 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 3041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.4 + -9.4. Let l = o - -9. What is the smallest value in -2\/15, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + -6. Let o(i) = -112*i - 1. Is o(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 10 = -v, 585*v - 2*w - 68 = 580*v. Let k(m) = 7*m - 103. What is k(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -97*q**2 - 83*q**2 + 173*q**2 - 15481*q + 15481*q.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36062?\nAnswer: 2, 13, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -78 * -0.6.\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x + 7 = x - 2*u, -u = -5*x + 26 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, b: 1, o: 4, x: 2}. What is prob of picking 2 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -287*u**4 + 41*u**3 - 63*u**2 + 728337*u - 1.\nAnswer: -3444*u**2 + 246*u - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**2\/25 + 13286*v\/25 - 13284\/25.\nAnswer: -2*(v - 6642)*(v - 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -154, -505, -858, -1213?\nAnswer: -1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, c: 1, m: 2, l: 3}. Give prob of sequence mcq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 14?  (a) -2\/29  (b) -0.1  (c) -7\/54  (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - ((6 - -6) + -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b**5 - 73*b**5 - 5*b**5 + (-9*b**2 + 3*b**2 - 4*b**2)*(-2*b**3 - 2*b**3 + 6*b**3).\nAnswer: -100*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 40747 rounded to the nearest one thousand?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*j*j\/j**4*j)**(-28)\/((j\/j**(2\/7))\/j*j*j**(2\/5)) assuming j is positive.\nAnswer: j**(-1019\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9493742 to the nearest integer?\nAnswer: 3081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -50*l**3 + l**2*n + 7*l**2 + 2*l*n + 2680*n wrt l.\nAnswer: -300*l + 2*n + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 303*x - 50162. What is r(166)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*m + 5*m - 5 = 20*b, 2*b - m = 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 30104 - 30104 + 59*n**2 - 5*n**2 + 0*n**2 + 3*n**2 - 3*n**2 - 2*n**2 + 6*n**2 + (0 - n + 0)*(2*n - n - 3*n).\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*k**2 - 9*k**2 - 15 - 8*k**2 + 15.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 + 14 - 7)*(-9*v + 34 + 58 - 101) as x + u*v and give u.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -245, -248, -261, -290, -341, -420, -533?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 78430 = -4*y + 78424, 0 = 5*d - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -1, -1\/4, 0.8, -0.1, 2 in increasing order.\nAnswer: -1, -0.4, -1\/4, -0.1, 0.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -516 - -a950?\nAnswer: a436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 95701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -306*m + 1028 = -307*m. Let u(d) = -610*d**3 + 1. Let t be u(1). Let f = t - m. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -15 - -9 - 0 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15 + (34\/(-4) + 10)*4)*2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58201298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -588.7133 + 0.3233. Let r = 586 + t. Let c = -1.28 - r. Round c to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 494*((-648)\/48 - -6). Are l and -3706 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*l + 18144 = 45*l - 59373. Solve 9*m = 729 - l for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + (-27 + -1 - (7 + -26 + 6 + 0))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 391, 756, 1109, 1444, 1755, 2036, 2281, 2484?\nAnswer: 2639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5754)\/1233)\/(1*2\/(-12)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-187)\/85 + (-232)\/(-40)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6286 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -597 by 597.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2214311, -2214310, -2214309, -2214308, -2214307, -2214306?\nAnswer: -2214305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -66659 minus -69?\nAnswer: -66590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*l - q = 3*q - 16, 4*q = 7*l - 3*l + 56 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18981 is divided by 9486?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2 * -17834\nAnswer: 35668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -96860 * 1217\nAnswer: -117878620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3143256?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**4\/17 + 4436*j**3\/17 + 12219582*j**2\/17 - 48931496*j\/17 + 48949208\/17 = 0. Calculate j.\nAnswer: -1603, 2, 3817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 99 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 117\/16 - -721\/48. Let q = 2017\/3397 - 19\/43. What is the common denominator of b and q?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 - 3*l - 2. Let s(r) = -3*r + 26. Let d be s(7). Suppose k = -2*o + 98, 5*k = -d*o + k + 248. Let q = o - 50. What is g(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9 times 11112?\nAnswer: 10000.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 16*q + 16. Calculate m(4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1687490126?\nAnswer: 2, 7, 17219287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2300 + 27606*q**2 - 4620 + 2320)*((-1 + 3 - 3)*(2 + 1 - 2) + 6 - 3 - 4 + 2 - 2 + 1 + 1 + 1 + 0) to h + b*q**2 + j*q and give b.\nAnswer: 27606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 28 + -17. Let v = -195 - -253. Suppose 0 = 3*u - 181 + v. Calculate the remainder when u is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 + 5*b**2 - 10*b - 5. What are the prime factors of x(5)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f**2 - 56*f - 403. What is n(-10)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by -1136841.\nAnswer: 2\/378947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 - 3*b**2 + 3*b + 27. What is the units digit of k(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -4 + 2960*z**2 + 5 - 1 - 2956*z**2. Let u(o) = 29*o - 1. Determine u(x(s)).\nAnswer: 116*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -2*b. Let u(d) = -11*d - 3. Let v be 15\/(-45) + (-19)\/(-3). Let w(p) = -11*p - 4. Let t(j) = v*w(j) - 7*u(j). Calculate t(h(a)).\nAnswer: -22*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -90, 5, -2 in increasing order.\nAnswer: -90, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 32603759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {n: 9, u: 11}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, f: 3, h: 2, i: 1, x: 1, r: 4}. Give prob of picking 1 i and 2 r.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*g**3*j - 2*g**3 - 27*g**2*j**2 + 7*g**2 - 349*g*j**2 + g*j + j wrt g?\nAnswer: 12*g*j - 12*g - 54*j**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-28)\/63)\/(14\/(-3)) + (-40)\/(-21). Solve -b*j = -j, -4*g + 12 = -j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 59961975 + 2.1553.\nAnswer: 59961977.1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -25 + -6 + 20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 27619, 55242, 82865, 110488?\n\"Answer: 27623*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 776\/13871*-13*-9*1\/(-4).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of 13*m**3\/3 - m**2 + 4*m + 4. Is s(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(-3\/2)*q**2)\/(q**(-1\/11)\/(q**(-2\/7)*q)) assuming q is positive.\nAnswer: q**(817\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -14*m**5 + 12*m**2 + 3*m. Let f(q) = -q**2 + q. Let d(s) = -3*f(s) + u(s). Find the third derivative of d(c) wrt c.\nAnswer: -840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 10:21 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + i + 692 = 5*x, -x + 116 = 5*i. Suppose 0 = -4*v + w + 237 + 282, -v - w = -x. What is the remainder when v is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 307178976 to the power of 1\/2, to the nearest integer?\nAnswer: 17527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1660 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*d - p - 20 = -26*d - 24*d - 5, 0 = -d - 5*p + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3384806 years in months?\nAnswer: 4.0617672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 1. Which is bigger: s or -6\/17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/56*2996\/(-38520).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of -2*u**5\/5 + 2*u**3 + 2*u**2 - 1. Solve z(t) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z - 6. What is c(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 14*x**2 + 2*x - 1. Let v be r(1). Let y = 25 - v. Let s be 5\/(y\/(-6)) - -4. Which is the closest to s?  (a) -0.5  (b) -1  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20.85 + 0.15. Let p be ((-4)\/6 + (-3)\/(-3))\/((-264)\/176). What is the third smallest value in p, 1\/3, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is eb0deb - 12?\nAnswer: eb0dd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 0, 4*m - 4968 = -f + 16881. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 31504 - 31504 - 55*n**3 - 8276*n - 35*n**4 wrt n.\nAnswer: -420*n**2 - 330*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 3*k**2 - 2. Suppose -t - 3*a + 8 = 0, 0 = 2*t - 0*t - 3*a + 2. Let x(p) = p**2 - 3*p**2 - 5*p**t + 3*p**2 + 2. Determine -3*w(o) - 2*x(o).\nAnswer: -o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2 + 3*r + 5. What is the units digit of v(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-7)\/3 - ((-1294644)\/234)\/193?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*x**5 - x**5 + 2*x**5 + (1 + 0 + 0)*(x - x + 2*x**5) + 5*x**3 + 43*x**5 + 53*x**5 - 81*x**5.\nAnswer: 16*x**5 + 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 517693801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 + 2930*u - 20*u**2 - 1402*u - 1526*u + 35. Calculate q(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16299*f + 8319*f + 14024*f + 3518*f.\nAnswer: 42160*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -12*l**5 - 66644*l**4 - 842460*l**3 - 1263436*l**2 - 487608*l = 0.\nAnswer: -5541, -11, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6\/8 + (-10 - (-49798)\/56)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1579 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 - 21*a + 100. Calculate m(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1210263 + -4?\nAnswer: -1210267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 16*g + 113 - 70 = -416, 5*g = 249 - 104 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 6\/7, -1\/1121, 0.2 in increasing order.\nAnswer: -1\/1121, 0.2, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 3240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.65 - 0.05. Suppose -15 = 11*v + 29. Let q = -705 + 705.1. Sort p, v, q.\nAnswer: v, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**4 + 55*t**3 - 40*t**2 - 100*t.\nAnswer: -5*t*(t - 10)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 989, 1223, 1609, 2147?\nAnswer: 2837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2925 and 9766575.\nAnswer: 9766575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -201199*k**4*w**3 + k*w**3 + k - 107*w**3 + 17 wrt k.\nAnswer: -2414388*k**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -28*r. Let m(u) = 4*u. Let i(j) = -44*m(j) - 6*y(j). Let p(w) = 25 - 25 + w**2. Calculate p(i(a)).\nAnswer: 64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4239, -17319, -39117, -69633?\nAnswer: -108867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 156.9 - 134. What is w rounded to 0 dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lqqlll. Give prob of picking 4 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*m = -11*m. Let t = 3 + -1. Suppose t*z + 2*z + 32 = 4*u, -4*u - 4*z + 16 = m. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 647378196?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.422, 0.1, -2\/3, 1 in ascending order.\nAnswer: -2\/3, -0.422, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 99 and 3147624?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01543263761 rounded to 4 decimal places?\nAnswer: -0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 + 6*t - 5. Let q be s(-7). Let b(n) = 3 - 7*n + 4 - 5 + n**q. Suppose -11045*o + 11025*o + 100 = 0. What is b(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -22, -122, -6, 4 in ascending order.\nAnswer: -122, -22, -6, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (354\/885)\/((-110)\/(-50))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 37*a**3 - 2*a**2 - 5*a - 3. Let c(f) = 111*f**3 - 7*f**2 - 16*f - 9. Let w(t) = 2*c(t) - 7*p(t). What is the second derivative of w(z) wrt z?\nAnswer: -222*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10\/21 in 0.3, 2, 475, 48?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*r + 21 = -r - 5*v, -24*r + 2 = 26*r - 54*r - 34*v + 32*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 0*d**2 + 3*d + 4 - 3*d**2 + 5 in the form t*d + b*d**2 + l and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -v**4 - 64*v**3 + v + 12 wrt v?\nAnswer: -12*v**2 - 384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 + -4. Suppose 0 = 5*g - j - 13, -5*j - c = 11. Let k(t) = -3*t**2 - 155*t + 56. Let a be k(-52). Solve a*i = -d + 12, 5*i + d + g*d = 22 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19, -74, -167, -298, -467, -674, -919?\nAnswer: -1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*5*(-2 + 1). Let g be i + 4 - (-1 + -2). Factor 11*v**2 + 9*v**3 - 3*v**5 + 6*v + 12*v**4 + 4*v**g - 15*v**4.\nAnswer: -3*v*(v - 2)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most 584\/70497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(66)\/(sqrt(3) + sqrt(3)*1 + sqrt(3)))\/(sqrt(18) + sqrt(288)) + 5).\nAnswer: 2*sqrt(11)\/45 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 229435 = 10*x - 3*d, -8*x = -7*x - 4*d - 22962. What is the remainder when x is divided by 239?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114*i**3 + 466*i**3 - 347*i**3.\nAnswer: 233*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 + 8*m**2 - 3*m - 27. Calculate r(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20 - -49. Let k = q + -23. What is the closest to k in -1\/3, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10100 (base 2) to base 5.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) 1\/34  (c) -167  (d) -3  (e) 0  (f) -7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1575 and 3801?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uxutffotr. Give prob of picking 1 f and 1 r.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 8) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a**3 - 60218*a**2 + 120343*a**2 - 60125*a**2.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - -5918.444804.\nAnswer: 5922.444804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 12210102011121 (base 3) to base 16\nAnswer: 2efa23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1.99*95\nAnswer: 189.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 - 9 = -4*i. Find the second derivative of 5*l**5 - 4*l - 3*l**5 - l**i + 2*l**5 wrt l.\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 23730 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -24.6\nAnswer: -49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**2 + 27*u + 71. What is r(30)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 7, b: 7}. What is prob of sequence ffff?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 3*l + 11, 0 = -2*l + 6 - 0. Let k be 3*1*v\/(-3). Let w = k - -20. Calculate the remainder when w is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-2\/13)\/q)\/q)\/(q*q**(-11))*(q\/q**(1\/3))**(-1\/38) assuming q is positive.\nAnswer: q**(5801\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(33)\/sqrt(3) + 4 + -2.\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -32*q**3 + 221*q**2 - 449*q. Calculate b(2).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 390735560 rounded to the nearest one hundred thousand?\nAnswer: 390700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2 + i + 4. Let l be o(0). Let j be 25\/l + 2\/(-8). Suppose j*y - y + 2700 = 0. What is y rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1413397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -1978, 0.3, 1, -4 in ascending order.\nAnswer: -1978, -4, -1, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1476\/270)\/82*12)\/(16\/350)?\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1776.430481 + -0.24\nAnswer: -1776.670481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 2492912230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/39, 1\/3, -0.3, -0.06 in decreasing order.\nAnswer: 1\/3, 2\/39, -0.06, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56*j + 34*j - 6414 + 6414 + 221*j.\nAnswer: 199*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -14*f**3 - 15*f**2. Let l(m) = -m**3 - m**2. Let t(d) = -4*l(d) - q(d). Find the third derivative of t(x) wrt x.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1.6169022 months?\nAnswer: 0.013474185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2\/5 - 366975*j + 1834890.\nAnswer: -3*(j - 5)*(j + 611630)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 20 - 23 = -4*r, -3*r = -4*m - 71. Let f = -10 + r. What is the remainder when 11 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 118 a factor of 37696162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -5851, -8690, -13421, -20044?\n\"Answer: -946*f**2 - f - 4904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbvv when four letters picked without replacement from bbbbbvbvbbb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/216 - (-86)\/432)*(-68 + 0)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r - 3*i, 3*i + 2 = -5*r + 3*r. Suppose 0 = r*b - 3*b. Let l = 21 - 10. Solve q + l = -4*u, q + 2*u + 1 + 2 = b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 67*b - 33*b - 33*b. Let o(r) = -22*r**2. Give o(v(k)).\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 990 is divided by 203.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h and 1 k when four letters picked without replacement from hhhkhhkhhhhhh.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 7, v: 1, n: 1, p: 5}. Give prob of sequence kn.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3*4\/(-18)*(-18)\/3. Let m be 8 - (2\/t)\/(4\/24). Solve -m = 2*h - h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -73 (base 10) in base 11?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 4 + 4*h - h**2 + 2*h - 3*h. Let p = -23 - -39. Suppose -5*k = -k - p. Calculate q(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**2 - 16*y - 18. Let c be m(17). Let p be 14\/(-21)*(-24)\/2*c. Is p != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-6))\/(8 + 6 + -10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**4 - 101*z**3 - 787*z**2 - 2587*z - 2921. Let v(p) = p**4 - p**3 + p**2 + p - 1. Let n(i) = j(i) - 5*v(i). Determine h so that n(h) = 0.\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 111079314, 111079317, 111079320, 111079323, 111079326, 111079329?\n\"Answer: 3*r + 111079311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 25028167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*j**6 - 1670*j**3 - 3837*j**2 + 1?\nAnswer: -960*j**3 - 10020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102854.\nAnswer: 2, 51427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 604*o - 51948. Calculate z(86).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -309987, -309993, -309999, -310005?\n\"Answer: -6*a - 309981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -10  (b) 29  (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 5, a: 5, y: 3, q: 2, x: 4, o: 1}. What is prob of sequence qyxl?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5528*p**2*x**2*y**2 + p**2*x*y**3 - 5*p**2 - x**2*y**3 + 16*x*y**3 + 3*x*y - 17*y wrt x?\nAnswer: 11056*p**2*y**2 - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 5, -9, -0.4, 9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-16)\/(-10) - 2) + 115\/225)*2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z + 8, -4*a - 12 = 2*z - 5*z. Let u be (-1 - (-2 - 0))\/(-3)*-60. Let b be (50\/u)\/(2\/(-4)). Sort -1, 5, a, b in descending order.\nAnswer: 5, a, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uwww when four letters picked without replacement from {w: 4, u: 10}.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-4\/11))**31)**(-7\/5) assuming j is positive.\nAnswer: j**(868\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (3 + 0 + -3 - -8) + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 853945.\nAnswer: 5, 233, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -122*z**2 - 26598*z - 474. Calculate y(-218).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of -s**5\/15 - s**4\/6 - 22*s**2. Factor a(o).\nAnswer: -4*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 7 - 4)*(4*u**2 - 3*u**2 - 2*u**2)*(0*u - 3*u + 0*u).\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -426, -448, -508, -624, -814, -1096, -1488?\n\"Answer: -3*k**3 - k**2 + 2*k - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -dd5 + -b8?\nAnswer: -10ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36 - 65 - 11 + 37*x + 5.\nAnswer: 37*x - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -128 by 1.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-17\/2)*h*h*h**(-2\/7)*(h*h**(2\/25)\/h)\/h**(-19) assuming h is positive.\nAnswer: h**(4303\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -3272*j - 13111. Calculate a(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 44 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express ((2 + 4 - 4)*(-1 - 2 + 2)*(-2 + 1 + 4) - 2 - 2 + 2)*(2*d**4 - 2*d**4 - d**4) in the form o*d**3 + j*d**4 + m*d + s*d**2 + b and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 629210?\nAnswer: 2, 5, 62921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**2 - 4*m - 8. Let p be d(7). Let w be p\/13 + (-6)\/8. Do w and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cccltclqtlqltll. What is prob of sequence ttlq?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 AM and 7:18 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 + 2*a**2 + a - 2. Give t(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -28479 + 28752. Let o be (-275)\/(-7) - (-4)\/(-14). What is the highest common factor of t and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2137619.8 rounded to the nearest 10000?\nAnswer: -2140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 80*m + 120*m + 10*m - 5604480. List the prime factors of m.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q + 9. Calculate the lowest common multiple of 4 and l(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 + 195*h - 12840. What is x(52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -29, -1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/(sqrt(15)\/sqrt(3))*4)\/(((sqrt(176)*1)\/sqrt(11))\/sqrt(4)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve t**5\/7 + 211*t**4 - 83694*t**3\/7 - 1556924*t**2\/7 + 7184680*t\/7 - 7495776\/7 = 0.\nAnswer: -1531, -18, 2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}