{"text":"Question: Let g = -2.86 + -0.14. Which is the third smallest value? (a) g (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10603329043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5247515 and 34599.\nAnswer: 15742545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = 34 - 32.12. Let d = 0.38 - h. Let g(p) = p**2 + 4*p - 4. Let n be g(-5). Is d greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 619*j**3 + j**2 + 2*j - 7. Let w(s) = 1237*s**3 + 2*s**2 + 5*s - 16. Let r(c) = -7*t(c) + 3*w(c). Is 20 a factor of r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21 + (36 - 28 - 6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 6*v**3 + 2*v**2 - 1. Let o(t) = t**3 - t**2. Let f(z) = a(z) + 2*o(z). What are the prime factors of f(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 less than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 407316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 1ab (base 12) to base 5.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.048394327 to three dps.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (17*103\/(-115566))\/(2\/12)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*-3*(12*5\/(-14))\/((-2346)\/(-8211)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.4*-69806.\nAnswer: -27922.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/(6\/(-18)*(-3)\/(-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 3, -2, -66648 in decreasing order.\nAnswer: 3, -2, -4, -66648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-714)\/96)\/(11\/(-44)). Which is smaller: 29 or c?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 8\/6*(-2)\/(-12). Which is the nearest to 1? (a) -2 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 186, 196, 218, 258, 322, 416, 546?\n\"Answer: q**3 + 3*q + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x**2 + 0 - 1 - 5*x - 3. Let c be k(7). Suppose 2*q + 4*t + c = 0, -4*q + 2*t = -0*t. Is 1\/3 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 6*o**3 - 22*o**2 - 6*o + 20. What is k(4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 182*z - 538*z + 177*z + 182*z. Let n(w) = 442*w. Give a(n(h)).\nAnswer: 1326*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 48940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*j = 54*j - 4290. Let b = 34 - 18. Calculate the remainder when j is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 526*z + 210 = 540*z. What is the remainder when 343 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*z**3 - 70*z + 0*z**2 + 0*z**2.\nAnswer: 7*z**3 - 70*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9 - 8. Let k = q + 17. Which is the nearest to 0? (a) 2\/5 (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y = c - 3, -c - 196*y + 9 = -200*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*f**3 - 13*f**2 + 3*f**3 - 4*f**3 to the form t*f**3 + p*f + v*f**2 + k and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -z - 1. Let o be j(-1). Let a = o - 153. Let g = a + 258. Calculate the highest common divisor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2*c + 3)*(3*c - c - 3*c) + (4*c - 4*c - 3*c + 0*c + 9*c + c - 6 + 6 + c + (3 - 4 + 0)*(-3 + 3 + 7*c))*(1 + 0 - c - 3).\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 457486283?\nAnswer: 457486283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 347*a**2*p**3 - a**2 - 108*a*p**2 + p**5 + 2*p**4 wrt p.\nAnswer: 2082*a**2 + 60*p**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -5*o + 1. Let v be (325\/50)\/(2\/8). Let n = v - 25. Calculate c(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6? (a) -2\/9 (b) -1.7 (c) -6 (d) 2 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from tnttttnttttntt.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-3)\/2*12\/9. Let b(x) = 2*x + 9. Let r be b(-6). Put 4, r, h in descending order.\nAnswer: 4, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e, 1 l, and 1 g when four letters picked without replacement from ewgewxglllxlgwwgw?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -350463830 to the nearest one hundred thousand.\nAnswer: -350500000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -3*o + 1. Let r be m(-1). Let t = 2 - -1. Find the third derivative of b**2 + 3*b**3 - t*b**3 + r*b**4 wrt b.\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1589 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1915, 1911, 1905, 1897?\nAnswer: 1887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be 40\/(-7) + (-6)\/21. Is i < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the first derivative of j**6\/24 + j**5\/5 + 5*j**4\/16 + j**3\/6 + 10. Determine b, given that m(b) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 2 = 0, 5*r - n - 3 = -22. Let s = 45100 + -45102. Put s, r, -10 in ascending order.\nAnswer: -10, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -21, -1\/10, 1\/3 in increasing order.\nAnswer: -21, -1\/10, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -2*z. Let a(p) = 7*p + 6. Let g(q) = -36*q - 32. Let b(r) = 16*a(r) + 3*g(r). Give b(u(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.014 in -3.5, -2\/7, -0.1, -0.002?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 389395 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 153213 is divided by 199.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 282020385 and 10171227.\nAnswer: 3102224235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/21 + ((-1144)\/28)\/(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -x - 1. Let s(q) = q - 5. Let m(a) = -s(a) - 2*u(a). Let f be m(-4). Let y be 27*(1 + -3 + 3). What is the greatest common divisor of f and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-10))\/(8 - -8 - 231\/15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:31 AM and 11:43 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 305 - 296 = 5*o, 4*o - 5 = -3*k. Calculate the greatest common factor of o and 3087.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 836062039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -175, -4, 8, 28, 5 in increasing order.\nAnswer: -175, -4, 0, 5, 8, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -27 + 34\/((-12580)\/(-7178))\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 129*b**2 + 3*b + 11. Let q(w) = -w**2 + 9*w + 41. Let s be q(12). Is c(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -101 - -21021?\nAnswer: 20220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -67*c - 78 = -56*c + 5*x - 22, -4*c - 2*x = -6*c + 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 87, 104, 125, 150, 179, 212, 249?\n\"Answer: 2*g**2 + 11*g + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 23416 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 79 + -84. Let y(s) = s + 2*s**3 - s**3 + 7*s**2 - 2*s**2. Determine y(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -20167, -40509, -60851?\n\"Answer: -20342*g + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 12429 + -a?\nAnswer: 1241b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t - 6. Let x be c(0). Suppose -2*f - 3*j = 27, 2*j + 31 = -f - 3*j. Let p = x - f. Is -2\/7 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.15? (a) -14 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -48901*x - 48838. Calculate p(-1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.171101149 - 0.17116. What is u rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -35*n. Suppose 0 = 3*o - 5*o. Let s be (o + (-4)\/8)*2. What are the prime factors of k(s)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 21 + -24. Which is the third biggest value? (a) -0.5 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 - 15 = -2*f. Suppose -9 = -9*u + f*u. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j**2 + 13*j + 17. Let i be c(-6). Let r be (1\/3)\/(i\/(-150)). Solve u = -r*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -77*p + 16 = -69*p. Solve -c - x + 1 = 0, p*c - 7 = -c - 5*x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2 - -2. Let i = 55 + -58. Let f be (0 - i)*4\/3. Which is the second smallest value? (a) f (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.03 - 1. Let f = y - -3.97. Which is the closest to 0? (a) 1 (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - (53 + -46) - (1 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -8*p - 292 + 356 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4898?\nAnswer: 2, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n + 3*n + 2*c - 2659 = 0, -3*c + 1781 = 2*n. List the prime factors of n.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -75 - -87. Let m = -65 + y. Let z = m - -53.4. Sort 3, -2, z in decreasing order.\nAnswer: 3, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-65655)\/15*(-4)\/(-6). Let w be (-30)\/70 + a\/(-14). Calculate the greatest common factor of w and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36751804 is divided by 131?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 1103*p**2 - p. Let w be t(-1). Let r = -361 + w. Suppose 157 = s + 4*a, 5*s + 0*a = a + r. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 903*q**2 + 15*q + 5. Let x(s) = -452*s**2 - 9*s - 3. Give 3*d(j) + 5*x(j).\nAnswer: 449*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0 + ((-3)\/3 - 8). Suppose -3*z = -27 - 27. Let r be (-19259996)\/z - (-2)\/v. What is r rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2 + (1 - 8))\/(-1). Suppose -3*m - g = 3*z + 4, 4*z + 12 = 4*m. Let a = m + 2. Solve 0 = 2*d - 2*b - 0 - 10, -a*d + 12 = -3*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -113 divided by -25?\nAnswer: 113\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = 11 + -9. Let a = -1 + v. Let k be (a + 0)*0\/4. What is the closest to k in -4, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -9*a**3 + 1004*a**2 + 1009*a + 3. What is s(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 38*t - 33*t + 128*t to the form m + f*t and give f.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 - ((-1 - (-17 + 25)) + (-3 - (1 + -5))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*n - 7*w + 16 = n - 12*w, 0 = 5*w + 10 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 30212, 129240, 294292, 525374, 822492, 1185652, 1614860?\nAnswer: 2110122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 26902221 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.314 and -18555?\nAnswer: 24381.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -535, -598, -663, -730, -799, -870, -943?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 2*k - 15 = -5*q, -5*q + 3*k = 17. Let x be (2 - -34) + (-4)\/q. What is the highest common divisor of x and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/77 and 26\/495.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -157\/11 - -15. Is n != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -39370 less than -39370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 6, t: 6, e: 3}. What is prob of picking 1 t and 3 e?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 103646\/1401 greater than or equal to 75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5\/604, 7\/661, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.5 - 0.5. What is the third biggest value in -5, 0.02, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -127658861 >= -127658853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1880*m + 1887*m - 3508*m)*(4 - 2 - 3) + 0*m + 6*m - 5*m)*(0*m**2 - 2*m**2 + 4*m**2).\nAnswer: -516*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5 - -4. Let g(n) = -z*n - 3*n**3 + 8*n**2 + 4 + 5*n**3 - n**3. What is the units digit of g(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lwaatia. Give prob of picking 1 a and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -503*m**2 + 6534*m + 45. What is l(13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:09 AM and 4:56 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2 - 11. Let c = 0 - r. Suppose 5*a = -2*y + 21, -2*y + 3*y = 4*a + 17. What is the greatest common divisor of c and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 192 + -100 + -244 + 142.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/100 and 77\/12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 224*y = 453*y - 246*y - 136 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -966*h - 2249*h + 1420*h = 2569*h - 170196 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (26 + 1207\/(-51))*(3 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the first derivative of n**5\/60 - n**4\/4 + 20*n**3\/3 + 16. Let a(g) be the third derivative of j(g). Let o be a(3). Solve 4*p - 6*p + 4 = o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 2*l - 2. Let v be w(2). Suppose -97 = 10*s - 157. Solve -s = -4*r - v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b**3 - 2*b**2 + 2*b. Suppose 2*z + 3*m + 16 = 0, 4*z - 4*m + 0*m + 12 = 0. Let d(r) = 2*r**3 + 4*r**2 - 5*r + 1. Give z*w(v) - 2*d(v).\nAnswer: v**3 + 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 203745.\nAnswer: 3, 5, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 38120 is divided by 19060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 4*l = 0. Suppose l = 3*p - 103 - 41. Suppose -4*n + 30 = -m + 2*m, 4*m - 2*n = p. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -102424 = 1877*h - 48*h for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 73, 0 in increasing order.\nAnswer: 0, 6, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 704*s**2 + 139*s + 3293. Is b(-42) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 17 + 4*(-1593)\/324\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 14841859*x + 10128737.\nAnswer: 14841859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 100 (base 2) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 6) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 83080475, 83080474, 83080473, 83080472?\n\"Answer: -c + 83080476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -n - n + 6. Suppose n*s = s + 10, -5*w + 5*s - 35 = 0. What are the prime factors of (4 - 3)*(-50)\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -17*s - 6. Let i(k) = 10 - 1 - 6 - 6*k - 5 + 0. Determine -3*b(z) + 8*i(z).\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((sqrt(56)\/(sqrt(8)*3))**2 - 3*sqrt(28)\/sqrt(4)).\nAnswer: -15*sqrt(7) + 35\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -6. Let w(b) = -84*b + 55. Let d(k) = -2*q(k) - w(k). Suppose -3*f = 2*f - 50. Is d(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -195*l**2 + 93*l**2 + 102*l**2 + 4*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -9 + 7 - 3*n + 4 - 4*n. Let y be ((-4)\/8*-15)\/((-60)\/(-40)). Calculate g(y).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 17 = -h, -5*h - 11 = 4*i + 2. Let x(l) = -111*l + 2 + 36*l + 40*l + 36*l. Let z be x(i). Sort -2\/3, -0.2, z in descending order.\nAnswer: -0.2, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*6*(sqrt(120) + 2*sqrt(120)))\/(((sqrt(24) - (sqrt(24) + sqrt(216)*5)) + sqrt(24))*-3).\nAnswer: -12*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i, 1 g, and 2 n when four letters picked without replacement from {g: 3, n: 5, i: 3}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.55 (b) 26 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 137 minutes before 3:58 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.362146 millimeters to meters.\nAnswer: 0.008362146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*l**2 - 2*l**3 - 150*l - 4*l**2 - 1 + 148*l + (-2*l**3 - 2*l**3 + 0*l**3)*(2 - 4 - 2) + 75*l - 12*l**3 - 75*l.\nAnswer: 2*l**3 - l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 691 minutes before 2:53 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from deeeeqeeeepeqq. What is prob of sequence qee?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -8 + -10 - -4 - -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 31, 40, 1, -104, -293, -584?\n\"Answer: -3*u**3 - 6*u**2 + 48*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 719073191 + -3\nAnswer: 719073188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 71 and 986900.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1971033.\nAnswer: 3, 239, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 287998 is divided by 57597.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 60078678 to the nearest integer?\nAnswer: 7751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 1\/21 (b) 4 (c) -1\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.01 (b) 1\/6 (c) 0.2 (d) -561\/1192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -131 - -132. Let a(u) = -13*u - 6. Let s be a(j). Which is smaller: s or -18?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in -1, 1\/5, 5\/2, -4503?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 148*l**2 + 16. Let j(a) = -a**2. Calculate q(j(t)).\nAnswer: 148*t**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ldd when three letters picked without replacement from avedlddd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:42 AM and 8:37 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 336 and 70992.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be 36 - 3\/((-9)\/(-12)). Suppose 1 = -j + v. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -20 - -23. Let w(p) = -p**2 + 4*p. Let i be w(o). Suppose 0 = -4*d - 3*q + 111, i*d = 5*q - 10*q + 97. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.12604242 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand -48*y**3 - 3*y**3 - 49*y**3 + (2*y - 3 + 3)*(-24*y**2 + 14*y**2 + 29*y**2).\nAnswer: -62*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 29*l. Let b(v) = v**2 + 20. Let o(m) = -m**2 - 20. Let y(x) = -5*b(x) - 6*o(x). Let g(i) be the first derivative of y(i). Calculate s(g(p)).\nAnswer: 58*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -26246 or -30411?\nAnswer: -26246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1270\/451 - -26\/41. Suppose -4*h + 3*o - 53 = -56, 0 = h - o - 1. Let j(q) = q**3 + 2*q**2 + 4*q - 3. Let m be j(h). Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 0*7\/35*2\/(-4). Let s be (12\/(-18))\/((-1)\/6). Let v(n) = n**3 + 10*n**2 - 13*n - 17. Let p be v(-11). Sort p, -6, u, s.\nAnswer: -6, u, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1883529703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 704*m**2*y**3 + 27*m**2*y**2 + 2*m**2*y - m**2 - 2*m*y**3 - 4842*m*y + 47*y**3 - 1 wrt m?\nAnswer: 1408*y**3 + 54*y**2 + 4*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 256019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4*(-3)\/(-360)*4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00006891659 rounded to 7 dps?\nAnswer: -0.0000689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + c + 0 = 2, 4*c + 4 = 0. Suppose -22 = -t + j. Let i = 35 - t. What is the lowest common multiple of 22 and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -5*o**3 - o**2 + 2. What is d(-2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*q - 2*q + 7*q - 18*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 115\/102 and -38\/188127.\nAnswer: 6396318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -2981 bigger than -2982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*n, 0 = v + 5*n + 5 - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/12 and 2 + -1 + -3 - (-17 - (-646129)\/42966).\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -14.56 - -6.56. What is the nearest to -1\/4 in l, 3, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -107\/14 and (-6)\/2 - 1\/(8\/(-93))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 - 33 = -5*m. Let g = 25 - 12. Let x = g - m. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-85)\/45 + 28\/(-252).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from enneehheneemeehejmn. Give prob of picking 2 n and 1 j.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a**2 + 9*a + 4. Suppose 2*c + 10 = 24. Let x be w(c). What is the highest common divisor of x and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**(-9\/10))\/(g\/(g*g**(-40)\/g)) assuming g is positive.\nAnswer: g**(-409\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the first derivative of -2*d**5\/105 + 3*d**4\/14 - 16*d**3\/63 - 798. What is t in s(t) = 0?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = 2*o + 23961, -4*o = 4*a - 2*o - 19158. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate d*o**2*z**2 + 37*d*o**2 - 2*d*o + 2*o**2*z**2 + 2*z**3 wrt z.\nAnswer: 2*d*o**2*z + 4*o**2*z + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 257*p**3 + 253*p**3 - 509*p**3 - 3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5, -10, 2\/11, -2\/3339?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 111119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*d - 285 = -12*d. Let s(x) = 2*x**2 - 3*x - 3. Calculate the remainder when d is divided by s(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5 + 2. Let r = 0 + k. Let t = -1 - 0. Sort -2, t, r in ascending order.\nAnswer: r, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 42310 and 390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3\/(-24))\/(1\/(-6)). Let a = 4731 + -4730.7. Sort j, 3\/5, a in increasing order.\nAnswer: a, 3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 3*d**2 + 4*d - 13. List the prime factors of k(-7).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - a - 1 = 20, 0 = -2*a - 2. Suppose -u = -6 + 2. Suppose -w = f, -u*t - 4 = w + 3*w. Solve -t*j + 1 = -8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-42)\/1260)\/((-2)\/(-8)*1)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 25743168 take away -47?\nAnswer: 25743215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -19, 478, 3 in decreasing order.\nAnswer: 478, 3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.156*29.3903.\nAnswer: -4.5848868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -9*w - 1. Suppose -4*f - f - 3*s - 27 = 0, 2*s + 5 = f. Let z be c(f). Let q = -15 + z. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000001015 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -62, -45, -1\/7, 0.2, 124?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 16, 50, 112, 202, 320, 466?\n\"Answer: 14*t**2 - 8*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 209\/(-1045)*(-80)\/1072.\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -2 - -0.03263\nAnswer: -1.96737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -36149*d**2 + 72285*d**2 - 36143*d**2. Let n(x) = 28*x**2. Let u = 26 + -5. Determine u*m(i) + 5*n(i).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 0*k = -48. Let b = 20 - k. Calculate the remainder when 22 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -s + 11, 2*s = -2*s - 4. Let c = 1 + 1. Put 0, j, c in ascending order.\nAnswer: j, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -54*u + 54*u + u**3 - 535629 + 535609.\nAnswer: u**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -65 + 169. Let y(q) = 7*q**2 - 3*q - 15. Let b be y(-7). Suppose 2*m = 3*k - 1319, -4*m - z - b = -k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20\/(-6)*234\/(-455)*-7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -63*r - 30 = -4*m - 58*r, -6 = -3*m + r. Let z = -3 - -3. Solve z = v + 2*i, 5*v + 5*i + 4 + 1 = m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 240\/(-1800) - (-4)\/((-300)\/(-685)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -0.01 (b) 0 (c) 0.5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 11385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*o - 14*o - 5*g = 1810, 35*o - 5*g - 64370 = 0. What is the lowest common multiple of o and 20?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 21, 1 in descending order.\nAnswer: 21, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is ((-40)\/(-22))\/(50\/(-275)*-7)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1854173?\nAnswer: 17, 29, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r + 279 = 324*f - 329*f, 3*r - 4*f - 207 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 3*g + 16 = 0. Let c = 1 + -1. Suppose 2*j - g + 0 = c. Sort j, -5, 1 in descending order.\nAnswer: j, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1995.\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**2 + t + 35. Let s be m(6). Suppose 3*n = 4*c + s, -6*n - 2*c + 5 = -5*n. Solve n*a + 2*o - o = -1, 0 = o - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + (-11 - -10) + (-15 - -12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -l**2 - 6*l + 8. Suppose 4*a + 6 = -d - 4, 3*a - 9 = 2*d. Calculate y(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.59 - 0.01. Let o = s + 1. Let x = -0.04 + 5.04. What is the biggest value in x, o, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0*h**2 + 0*h**2 + h**2)*(h**2 + 0*h**2 - 2*h**2).\nAnswer: -h**4 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 29*v**3 - v + 996 - 1000 - 27*v**3. Let f(w) = w + 9. Let c be f(-10). Let l(m) = 1. Let s be (10\/(-6))\/(1\/3). Calculate c*j(h) + s*l(h).\nAnswer: -2*h**3 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the third derivative of -9*l**7\/35 + 12*l**5\/5 - 16*l**4\/3 + 16*l**3\/3 - 11*l**2. Suppose g(r) = 0. Calculate r.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 370 and 444?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 490, 833, 1176, 1519?\n\"Answer: 343*f + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/(-1)*(-3 - -3). Let m(j) = -j + 20. Let f be m(z). Calculate the highest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-5 - -7) + 49*38. Suppose -14*x + 124 = -u. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 46126*p**3 - 92263*p**3 + 46139*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {g: 4, t: 8, l: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 8 = l. Let x = l + 5. Suppose x*j + 3107 = 107. What is j rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -8*w - 9. Suppose 12 - 8 = -k. What is the tens digit of g(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 84481, 168599, 252717, 336835, 420953, 505071?\n\"Answer: 84118*f + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Add 9896649 and -89.\nAnswer: 9896560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -277 = 5*r - 887. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 5*p**6 + 3*p**5 + 116*p**2 - 3. Let q(m) = -2*m**6 - m**5 + m**3 + 1. Let t(x) = -3*q(x) - v(x). What is the third derivative of t(k) wrt k?\nAnswer: 120*k**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**4\/12 + 18991*w**3\/3 + 37983*w**2\/2 + 56975*w\/3 + 75967\/12.\nAnswer: -(w - 75967)*(w + 1)**3\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 103572 a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -2*z**3 - 2*z**2 + 2*z + 3. Suppose -117*f = -76*f + 41. Let n be 5\/4*(2 + 2). Let j be f + (-4 + n)\/(-1). Determine y(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**2 - 11*x - 42. Let d be z(14). Solve d = o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 116 divide 19372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 - -3. Solve -h + 25 = z*h - d, -2*h + 10 = -d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -6516 or -19552\/3?\nAnswer: -6516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/(-2)*(-9)\/((-297)\/22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 665 (c) 0.3 (d) -73 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -22496283*v**5 + 45*v - 10255 wrt v?\nAnswer: -449925660*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:07 PM and 2:12 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7\/(-4) - (-4 - (-4 - -2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*h + 2*h. Suppose 0 = 4*p - h - 20. Suppose f + 0*f = 5*d - 12, 0 = -4*d - p*f - 2. Solve 4*z - 2*x = -14, -z - 1 = -d*z + 5*x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 3*h + 3. Suppose -4*j = l - 16, -5*j + l - 2*l + 19 = 0. Suppose 3*u = -9, -4 = j*b + 4*u + 17. Give m(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 228 + -150. Let x = 140 + h. Calculate the remainder when x is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 268933210 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1121433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -344 - 1433?\nAnswer: -1777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 4*r - 3. Let p = 32 + -37. Let f(z) = -3*z + 3. What is p*c(n) - 6*f(n)?\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 16*1246\/(-1424)*10\/7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*o = 4*o + 104. Let v(i) = i**3 + 5*i**2 + 3*i - 3. Let u be v(-3). Suppose -u*a = -3*a - 150. What is the remainder when a is divided by o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from thhtttzttthht. Give prob of picking 3 h.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1642928 less than -404.195?\nAnswer: -404.0307072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**2 - 3*g + 12. Let o be r(-5). Suppose 8 = -4*y + 2*t, 0*y + 12 = -4*y + 3*t. Solve y = -5*m + 3*m - u + 1, 4*u = -o*m - 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6312 + -6308. Which is the closest to -2? (a) f (b) 1\/3 (c) 0.04 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify i*i*i**(-7)*i**6\/i*(i\/(i**(-2\/105)*i)*i)\/((i**(-30)\/i)\/i) assuming i is positive.\nAnswer: i**(3467\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 276*v**3 + 0.\nAnswer: 276*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 16054456 and 46754.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -391 - -394. Sort -40, 5, 4, i.\nAnswer: -40, i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 + -4. What is the nearest to 2 in -1\/3, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-2100)\/144)\/(-35))\/(220\/(-17600))\nAnswer: -100\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -16*p**6 + 3*p**4 - 43*p**3 - 11014*p**2 wrt p.\nAnswer: -1920*p**3 + 72*p - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 81 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0\/5 + (-30)\/(-57). Let v = -9\/19 + i. Is v >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) be the first derivative of 1\/30*p**5 - 49 - 1\/30*p**6 + 7*p - 1\/6*p**3 + 3\/2*p**2 + 0*p**4. Let f(g) be the second derivative of w(g). What is f(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 398 - 6*o - 165)*(-4*o + 17 - 17) to the form g + j*o + d*o**2 and give j.\nAnswer: -916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 5, z: 3, o: 3, a: 1, d: 1, y: 1}. What is prob of picking 1 a, 1 f, and 2 z?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:29 PM and 1:34 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -312484*a - 9. Let s(w) = -62497*w - 2. Let m(t) = -11*s(t) + 2*x(t). Let j be m(4). Round j to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 8802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*g - 192. Let z = -34 - -228. Let b = z + g. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:09 PM and 6:45 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -5*x**3 - 13*x**2 + 296*x + 1989. Determine a(-7).\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 648 and 921384.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 27, 1 in decreasing order.\nAnswer: 27, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2597 + 1028411\/396. What is the common denominator of y and 49\/198?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 - 4 = 5*z. Put -5, 4, z in descending order.\nAnswer: 4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*l - 12*l + 766 = 2*j, 5*j + 3*l = 1875. Does 54 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5 (b) 108 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = 25*m - 37. Sort -3, m, -32 in ascending order.\nAnswer: -32, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -719556 at least as big as -719555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c + 17*c = 90 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the second derivative of -5*g**7\/42 + 2*g**6\/3 - 25*g**4\/6 + 5*g**3\/6 + 15*g**2 + 560*g. Let p(s) = 0. What is s?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 1055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -2464, -19708, -66512, -157654, -307912, -532064?\n\"Answer: -2463*b**3 - 2*b**2 + 3*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5025338 bigger than 5025344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.0126 + 116.4874. What is x rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of (34*(-5)\/2)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -23.7 - -25.7. Sort -3\/100, m, -5 in increasing order.\nAnswer: -5, -3\/100, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.4 and 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -43.4536 - -0.6036. Round h to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 1824 = -5*f, -2*z = -86*f + 81*f - 1206. Calculate the greatest common divisor of z and 2266.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) be the third derivative of -w**7\/42 + w**5\/12 + 26*w**2. Suppose t(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -2*j**2 + j - 1. Let o be y(1). Suppose -3*n - 53 = -8*n - l, n = 3*l + 1. Let t be ((-6)\/n)\/((-1)\/5). Put -4, t, o in decreasing order.\nAnswer: t, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 362.70818 and 4.\nAnswer: 366.70818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14, -17, -20, -23, -26?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*c - 4*m, -3*m - 9 = -5*c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -134109*v**5 + 29*v**3 + 8252327*v?\nAnswer: -2682180*v**3 + 174*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -21, -31, -49, -75, -109?\n\"Answer: -4*t**2 + 2*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0161931 to four dps.\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5712 and 198849.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) be the first derivative of -g**6\/1440 + 13*g**5\/720 - g**4\/18 + 113*g**3\/3 + 45. Let w(s) be the third derivative of z(s). Factor w(q).\nAnswer: -(q - 8)*(3*q - 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t - 809*f + 4 = -812*f - 23, 3*t + 37*f + 173 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 - -4. Suppose -3*i - 16 - 8 = c. Calculate the remainder when 25 is divided by (-255)\/(-20) - 2\/i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 5*v - 3. Let n(w) = w. Let k(z) = -f(z) + 4*n(z). Suppose 3*c - 9 = 0, 7*h + 3*c = 5*h + 73. Let u be (2 - 7)*5\/(200\/h). Give k(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -364.4 - -364.7. Let o = -1.1 + 0.1. Sort k, 3, o in descending order.\nAnswer: 3, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*r + 5*m - 1, -72*r + 2*m = -67*r - 8. Let y(p) = p**2 + p. Let n(w) = w**3 + 2*w**2 + 4*w + 3. Determine r*y(g) - n(g).\nAnswer: -g**3 - 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-46)\/(-3)*15\/10 is divided by -3 - (8 + -29 + 12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10\/5 + 396 - -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:11 AM and 8:57 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42 = 6*y - 5*y. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10177105, 20354208, 30531311?\nAnswer: 40708414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 3*h. Suppose -2*w - 6 = -4*n, -5*w + 3*n + 6 = -h*w. Let r(c) = 2*c**2 - 6*c + 6. Calculate the least common multiple of r(w) and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 34 - 29. Let z = -2215 - -2211. Put z, -8, -0.4, c in descending order.\nAnswer: c, -0.4, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -114*n**4 - 3 - 2*n**3 - n**2 + 7 + 115*n**4 as a + m*n + b*n**4 + q*n**3 + w*n**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) 7 (c) -2\/9 (d) -3\/4 (e) 0.02 (f) 10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*t = -19*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -b = 4*p - 5, p - 5*b - 25 + 8 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1*((-15)\/45)\/(1\/(-7)))\/(70\/60).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-5)\/(-25) - ((-800093)\/35 - -9)?\nAnswer: 3, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(2) + (0 + sqrt(2))*-4 - sqrt(224)\/sqrt(7).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-1\/9)*i*i)**(-19\/3) assuming i is positive.\nAnswer: i**(-323\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) be the third derivative of -r**5\/60 - r**4\/4 + 17*r**3\/6 - 22*r**2. Let t be b(-8). Solve t = 5*p + 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4532*m**2 - 2421*m**2 + 3796*m**2.\nAnswer: 5907*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 2, y: 3, t: 1, x: 4, p: 2}. What is prob of sequence yh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = w**3 - 28*w**2 - 686*w - 3559. Determine p(45).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -0.5, -1\/6, 19683, 1 in increasing order.\nAnswer: -0.5, -1\/6, 0, 1, 19683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 616809?\nAnswer: 3, 205603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -3970*l - 43606. Calculate q(-11).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 77\/6 and 5\/22368.\nAnswer: 22368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) -1\/6 (c) 0.3 (d) -0.5 (e) 409\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6738 is divided by 282?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.5313 - 0.8313. Let m = -6.3 - -6. Let r = m - -4.3. What is the closest to -1 in 0.5, r, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -4*o + 2. Let k be h(0). Let s be -30355*(-2 + k + 2). What is s rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4366147 (base 11) to base 2.\nAnswer: 11101001111011011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 82, 112, 132, 136, 118?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the second derivative of -o**6\/120 + 3*o**4\/4 + 12*o. Let i(k) be the third derivative of g(k). Let n(b) = 2*b. Give i(n(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 28 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 13*f**3 + 3*f**2 + 23*f - 22. Let s be (-35)\/21*3*-1. Is c(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -99*z - 779 - 895 - 108 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*j + 270*j - 65*j + 141*j + 236*j to k*j + g and give k.\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 110044343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 173870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s = 0, 181*y + 3*s - 311 = -130 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3014 and 858?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.2, 2\/3, 1\/5, 3325?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 19350 and 64230?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -5*v + 5. Suppose c - 20 - 4 = 0. Suppose 3*u - 3 = c. Let n(b) = -2*b + u*b - 11 + 11*b - 7*b. Give -13*f(z) - 6*n(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 4*y**2 - 3*y + 1. Let l be x(3). Let w = l - 192. Let u = -81 - w. Calculate the remainder when u is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 16.052 - 16. Let t = v + -9.852. Let j = -23 + t. What is j rounded to zero decimal places?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9073 - 9073 + 2*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - 4\/5*q**3 - 12*q**2 - 56\/5*q.\nAnswer: -4*q*(q + 1)*(q + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 488 minutes before 9:27 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -3272 divided by 1\nAnswer: -3272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -2*t**3 - 10*t**2 - 7*t - 10. Let k be c(-7). Suppose 859 = 4*b + k. What is the tens digit of (2\/(-6))\/((-4)\/b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -32610 by 9622.\nAnswer: -16305\/4811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 462461 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: Let q = 67 - 63. Let i be 10\/(-4)*24\/(-20). What is the greatest common divisor of i and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:50 PM and 11:00 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37105 - 45887 = -26*o. Suppose 4*y - o = -15*y. Is y a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -5710 (base 13) to base 15.\nAnswer: -3921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*c**5 + 0*c**5 - 4*c**5 + (-2 + 2 - c**2)*(2*c**3 - 5*c**3 + c**3) + c - 59*c**4 + 9*c**5 + 3*c**3 + 58*c**4 - 7*c**5.\nAnswer: -7*c**5 - c**4 + 3*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 200 and 2075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -9, -4\/11, -0.3 in descending order.\nAnswer: -0.3, -4\/11, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 19\/485 and -31\/26578?\nAnswer: 132890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -19 + 16 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*t + 2*t + 4*t)*(3 - 1 - 1) - 2 + 2 + 4*t)*(3*t - 3*t + 4*t).\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 118167.397 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 2*g + 4. Let x(b) = -27*b. Determine c(x(r)).\nAnswer: -54*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 18*x - 116. Let h be j(7). Solve 3*q - h = 3*u - q, -3*q = -4*u - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -2*t. Let g(i) = -2*i - 10. Let h be g(-7). Suppose 0 = h*o + r + 15 - 41, -4*o + 2*r = -32. Let n(q) = -6*q + 2 - 2 + o*q. Determine n(s(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r\/(r\/r**4)))\/r)\/(r\/r**(2\/5))*(r*(r\/(r\/(r*r**(-2))))\/r)**(-33) assuming r is positive.\nAnswer: r**(142\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/11 (b) -2.5 (c) -280\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1 >= 0.0298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (525\/(-10))\/(-21)*30\/(-45)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 6011695 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, -6467, -1083 in decreasing order.\nAnswer: -0.5, -1083, -6467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -363881479471 + 0.5.\nAnswer: -363881479470.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -2209, -8355, -18453, -32503, -50505, -72459?\n\"Answer: -1976*o**2 - 218*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 50100820 and 1120.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1180.59 - 22.59. Let v = -1157.98802 + w. What is v rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kuuzxkk. What is prob of sequence xuu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 4*j**2 + 114*j - 471. What is the remainder when 1958 is divided by p(4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = y**3 + 39*y**2 + 23*y + 5. Is 23 a factor of u(-38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-48 + 21 + 11)*(-8*c**2 + 6*c**2 - 2*c**2).\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-30)\/(-35) + -1 + 255\/21?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1678 and 1486.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 11, i: 2}. What is prob of picking 3 u?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9202 + 9202.5329. What is q rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 169 at most -50\/169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 60*i**3 - 2*i - 3. Let b(d) = -60*d**3 + d + 2. What is 5*b(o) + 4*u(o)?\nAnswer: -60*o**3 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of (28\/12)\/((-49)\/(-105)) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1219476802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 - 0. Let t be 1\/((-3 + z)\/(-12)). Suppose -t = -2*n + 6. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1\/(1\/22) + -1. Let d be (2*-1)\/((-2)\/b). Suppose 21 = 2*v - 3*h + 6, d = 3*v - 3*h. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -562b86 (base 12) to base 6\nAnswer: -45235450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 30*v. Let h be q(4). Let w be 6\/8 + (-1)\/(12\/(-63)). Suppose -j = -w*j + h. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6549072 to the power of 1\/2, to the nearest integer?\nAnswer: 2559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 1203350.904 nanoseconds?\nAnswer: 0.0000000019896675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 27600494 to the power of 1\/2, to the nearest integer?\nAnswer: 5254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(1100) + -1)**2 - (sqrt(1100) - -3*sqrt(1100)*-1) - 3*(-2 + 1*sqrt(1100) + 5).\nAnswer: 30*sqrt(11) + 4392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 143672 greater than or equal to 723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j = 4*q + 16, -3*q - 12 = -3*j - 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -75 - -241. What are the prime factors of j?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 1904*l. Let a(k) = 28*k**2 + 287. Determine a(g(j)).\nAnswer: 101506048*j**2 + 287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 82*w**2 - 77*w - 218. What is the units digit of b(27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4.789 + 3.561. Which is the fourth biggest value? (a) -1\/6 (b) 0.3 (c) 2\/9 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.33305 and -2519?\nAnswer: 838.95295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 97\/20 and -9\/500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4.5 + 0.5. Let y be (-1)\/6 - (-1 - 21\/(-18)). Sort y, -0.5, u in decreasing order.\nAnswer: u, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0, -155, 645 in decreasing order.\nAnswer: 645, 2, 0, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 117*d + 132*d - 2739 = 0 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -16 - 2 - 39 + 5*n**3 + 50*n**2 - 5*n + 7.\nAnswer: 5*(n - 1)*(n + 1)*(n + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -45.1 - 0\nAnswer: -45.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - 12 = 0, 18 = v - 3*i - i. Suppose 0 = 2*b + b - v. Suppose -4 - b = -3*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -50*(-2 + (-507)\/8). Let s = q - 3289. Find the common denominator of s and 87\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the first derivative of q**6\/45 - q**5\/30 - q**4\/6 + q**3\/9 + 2*q**2\/3 + 2*q - 35. Let v(a) be the first derivative of w(a). Factor v(h).\nAnswer: 2*(h - 2)*(h - 1)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3319 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 14.7 in -2\/9, 2.4, 4, -1, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 55\/2 and -53\/1208660.\nAnswer: 1208660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j be (0 + 2\/(-1))*7\/(-49). Suppose s - 2*v - 146 = 6*s, s + 2*v + 34 = 0. Which is the nearest to s? (a) -0.2 (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 80676 and 215136.\nAnswer: 645408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 42527 and 108951.\nAnswer: 201450399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.066 and 3099.012329.\nAnswer: 3099.078329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Divide 4 by -49.\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 + 54 = -4*h. Which is bigger: -14 or h?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a + 2 = v, -2*a - 54 + 56 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the first derivative of -4*c**2 + 0*c - 16\/3*c**3 + 5\/2*c**4 - 27. Factor h(w).\nAnswer: 2*w*(w - 2)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**3 + 9*v**2 + 5*v - 7. Let t be r(-6). Suppose -4*p + t = -57. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.08 + 4.92. Let n = 322 + 110. Let t = 7346\/17 - n. What is the smallest value in -5, q, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -54 + 57. Which is the closest to 1\/4? (a) u (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gle when three letters picked without replacement from eaglalcaaagggcla?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be (12\/(-30))\/(0 + (-3)\/150). Differentiate 0 - o**2 - 4 + 7*o**2 + g wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 69.44318t in milligrams?\nAnswer: 69443180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*c**3*g**2 - 6133*c**3 + c**2 + 52*c*g**2 - 237*g**2 wrt g?\nAnswer: 6*c**3*g + 104*c*g - 474*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3472*n + 1037*n + 1242*n)*(0*n + 0*n + n) to the form t*n + q + m*n**2 and give m.\nAnswer: -1193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -194 + 198. Let c be 1*1\/b + 18120\/96. Calculate the greatest common divisor of c and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -29\/17331 and 73\/981?\nAnswer: 51993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -10379 less than -2627.9?\nAnswer: 7751.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8 - 1. Calculate the remainder when 10 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*t**3 + 9*t**3 - 7*t**2 + t**3 + 5*t**3.\nAnswer: -2*t**3 - 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that 2*c**3\/7 + 100824*c**2\/7 - 4641078*c\/7 + 53384564\/7 = 0.\nAnswer: -50458, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that 44*d**5 + 15932*d**4 + 1426916*d**3 - 2769308*d**2 + 1193920*d + 132496 = 0.\nAnswer: -182, -1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 - 1.6. Let g be 10\/50*(-5)\/(-11). Let j = -1\/121 - 233\/1089. What is the fourth smallest value in j, k, g, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = -5*t + 5, -17*t - 18 = -18*t + 3*b. Factor -384 - 142*s**t - 54*s**2 + 480*s - 6*s**4 + 3*s**4 + 103*s**3.\nAnswer: -3*(s - 2)*(s - 1)*(s + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 20.49 or -101?\nAnswer: 20.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 109*v = 73*v + 144 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*136\/224*21*4\/(-9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**27*f)\/f**(-7) assuming f is positive.\nAnswer: f**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 129 - -15. Suppose 0*j = 2*j - g. Is 24 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 - -3. Differentiate 2 + 0*w**u + 7*w**2 - 6*w**2 with respect to w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 188*m - 221 = 155 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -5 + 616*d**2 + 10 - 2202*d**2 - d + 870*d**2 as x + f*d + c*d**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 1046*k + 6. Let c(n) = 2101*n + 13. Calculate -4*c(y) + 9*m(y).\nAnswer: 1010*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - v + 5 - 4)*(-2*v - 2 + 2).\nAnswer: 2*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -8.4379 - 3?\nAnswer: -11.4379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xuuujuouuaxugou. What is prob of picking 2 x?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 - -35479.\nAnswer: 35478.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 754, 749, 740, 727?\n\"Answer: -2*o**2 + o + 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 82*l**3*q - 188*l**3 - 148*l**2*q + 2*l**2 - 50*l*q wrt l?\nAnswer: 492*q - 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let 4*a**5 - 682728*a**4 + 4778896*a**3 + 682728*a**2 - 4778900*a = 0. What is a?\nAnswer: -1, 0, 1, 7, 170675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*s - 3*s - 12*s)*(143*s - 365 + 365) to j + g*s + f*s**2 and give f.\nAnswer: -1859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 133 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 107 + -227. Let f = -65 - a. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-11)\/((304777\/8446)\/269)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*o - 11*o - 8. Solve 5*p - o*p = 3*k + 13, -4*k - 16 = -p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is b in 1\/2*b**3 + 9\/2 + 7\/2*b**2 + 15\/2*b = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 + -8 - (4 + (-3 - 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1 - (-5 + -3 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -59478000 rounded to the nearest one million?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/23? (a) 49 (b) 3 (c) 1 (d) 50 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -150674489*g**5*s**2 + 721*g*s - 229715*s**2 wrt g.\nAnswer: -3013489780*g**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -463 = 3*r - 454 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26\/(-39)*1\/6.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -6 (b) -1043 (c) -2 (d) 0 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/5 of a decade in years?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 41095 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -4, -5, 9 in increasing order.\nAnswer: -5, -4, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = 15505\/2 - 7752. Let m be (-2)\/(-5) - (-6)\/10. Sort -3, 3\/7, p, m in ascending order.\nAnswer: -3, 3\/7, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.08? (a) 3\/8 (b) 4 (c) 0.05 (d) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-2)\/6)\/((-5)\/90). Let l = o - 3. Let x(a) = a**3 - 3*a**2 + 2*a - 2. Calculate x(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 36433 = -3*q, -p - 3*q - 2414 = -9691. Round p to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 14 - 5)*(-3*z**3 + 3*z**3 + 3*z**5) + (2*z + 2*z - 2*z + (3*z - z - 4*z)*(-5 - 1 + 4))*(2*z**4 + 3*z**4 - 3*z**4).\nAnswer: -39*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, e: 7, q: 3}. What is prob of picking 1 e and 1 n?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 19018 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -32*p + 20. Suppose 0*r - 17 = 2*n - 3*r, -3*r = -3. Is 17 a factor of a(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 62\/33 and (-1 - (-5)\/4)\/(21\/553).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 3 r when four letters picked without replacement from xxryzryysqrxqyy?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.6 - 1. Let m = h - 3.6. Let o = m + 4. Which is the biggest value? (a) o (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.3599846 millilitres?\nAnswer: 0.0003599846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 756465 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*z**2 + 81384*z + 551946288.\nAnswer: 3*(z + 13564)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -111 - -10111001000011110?\nAnswer: 10111001000010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8200)\/(-3280))\/(9\/(-30))?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l + 2322 = 194*t, 53*l + 2*t = 54*l - 0*t + 27 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -3*s. Let z(g) be the first derivative of 7 + 0*g**2 - 1\/2*g**4 + 4*g + 0*g**3. Let m(v) be the first derivative of z(v). What is m(t(n))?\nAnswer: -54*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -450 * 3\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z be 130\/39*((-162)\/15)\/3. Let s be (126\/15)\/(z\/(-40)). What is the greatest common factor of 91 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*n - 6595 - 3500. Suppose 2035 = 3*r + 5*k, 2*r - 5*k - n = -3*r. Calculate the highest common divisor of 25 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3 - 3)*(87*n + 147*n - 113*n)*(2*n - 4*n + 4*n)*(-n - n + n) - 3*n**3 - 17*n**2 + 17*n**2.\nAnswer: 481*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -2011120112 (base 3) to base 12\nAnswer: -20865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 19641.3 from -13244351.\nAnswer: -13263992.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.12 or -245?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (31630\/(-3))\/(-2) - (-20)\/930*-31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 817*b + 50 = -2825 - 7746 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0 + 2. Let c = 69.016 + -64.016. Sort c, 23, -3, p.\nAnswer: -3, p, c, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 - 1300?\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 457*a + 1235 - 11666 - 10224 = -308*a for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-2))\/(1\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3305111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -29*l*w**5 - 5*l - 7*r*w**5 - r*w + 2*r - 13*w**2 wrt w.\nAnswer: -1740*l*w**2 - 420*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 333315.\nAnswer: 3, 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*u + 9 + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 53, 2, 4, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1401.86 + 1395.8. Round a to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/5 in 0.01, 2\/9, 4\/4043?\nAnswer: 4\/4043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8, 16, 30, 50, 76, 108, 146?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(2) + -4)*-1 - (2 + sqrt(2) + 0 - sqrt(2))*-2.\nAnswer: -sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 11110 and 11854370?\nAnswer: 11854370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1\/((-2)\/8*2). Suppose -l + 9 = -2*l + 2*z, -3*l - 23 = -5*z. Is l greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4\/1451791 or -1?\nAnswer: 4\/1451791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 + 4546c?\nAnswer: 45467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 27168485 and 43469576.\nAnswer: 217347880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 7\/13*14\/98\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (1 - (-10)\/(-6))*21. Let a = 23 + x. Let i(f) = f**3 - 8*f**2 - 7*f - 9. What is the units digit of i(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -9733 by -2664.\nAnswer: 9733\/2664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 + 4)*(4*g**3 - 4*g**3 + g**3) + (4*g - 7*g + 2*g)*(3*g**2 + 0*g**2 + 0*g**2) - 2*g**3 + 3*g**3 + 0*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1412041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 414 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 5*v + 1. Let m be h(-2). Let w = 12 + m. Suppose 5*c + 145 + w = 3*l, -l = 4*c - 38. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9343909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 1072, 2151, 3238, 4333, 5436, 6547?\n\"Answer: 4*o**2 + 1067*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 76 + -72. Suppose -9*u**2 + 7*u**2 + w*u + u**2 - 1 - 6*u = 0. What is u?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:26 AM and 1:40 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15 is divided by 0 + (6\/5)\/((-3)\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o**2 - 27*o - 685. Let k be x(43). What is the closest to -23 in 0.5, 2, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.12 greater than or equal to -179269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 34223?\nAnswer: 7, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = -13315.9 - -13316. Which is the third biggest value? (a) -2\/83 (b) i (c) -125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 59541 and 267?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j be 13\/(-3) + 2 + 2. Suppose -2 = 7*l + 5. Which is the nearest to l? (a) 5 (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -11.21 - -11.16. Which is the second smallest value? (a) 1 (b) 0.5 (c) 15 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9596830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 15 by -20.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the second derivative of 1\/6*i**4 + 0 - i + 2*i**2 + 0*i**3. What is the first derivative of s(x) wrt x?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26294938 is divided by 596.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify j*j\/(j\/((j\/(j**2*j))\/j*j)*j*j)*j*j**(1\/23)*j*j*(j**(-2\/9))**20 assuming j is positive.\nAnswer: j**(-911\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -105*h + 34477 = -10568. Let t(i) = i**2 + 2*i - 9. Let n be t(6). Calculate the highest common divisor of h and n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 5 and 56.3.\nAnswer: 281.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.30716545 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**4 - 4*f**3 - 6*f**2.\nAnswer: 2*f**2*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 12*n**3 - 48*n**2 + 48*n + 48. Let l(b) = -b**3 - b**2 + b + 1. What is -144*l(o) + 3*y(o)?\nAnswer: 180*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -3*x**4\/4 + 327*x**3\/4 + 1341*x**2\/4 + 1689*x\/4 + 339\/2 = 0. What is x?\nAnswer: -2, -1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = -93260 + 50919875\/546. Let c = u - -1\/546. Sort -3, c, -5.\nAnswer: -5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z\/(z*z**(-1))*z*z**(-1\/3))**(-11\/2) assuming z is positive.\nAnswer: z**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 14 minutes before 11:38 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i + 20, -2*v - 4*i + 2 + 2 = 0. Let z(m) = -m**2 + 11*m + 5. What is the tens digit of z(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = t**2 + t - 2. Let k be i(2). Find the third derivative of k*v**3 + 2 - 5 + 3 + 3*v**2 wrt v.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 418*q + 281*q - 14829 + 48818 = -130*q for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -148.9*80\nAnswer: -11912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4*((-3636)\/(-132) + -28)\/(4\/(-143)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 3 + 6 + (2 - 2) + -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 2*a = -102, -t = 9*a - 13*a - 15. Suppose -3*r + 16632 + 49083 = 0. Is r\/45 - (-6)\/t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g**(5\/9)*g))**(5\/2) assuming g is positive.\nAnswer: g**(-25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 1470\/(-2184) + (-1)\/13 - -3\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*d**5 + 11*d**4 - 4*d**2 + 3*d + 908.\nAnswer: 40*d**3 + 132*d**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3 + -4a447?\nAnswer: -4a444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 78536.82g?\nAnswer: 0.07853682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2472 + 2487. Solve 6*m + f - 45 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that -40374098\/17 - 2\/17*h**2 - 17972\/17*h = 0.\nAnswer: -4493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((120\/(-18))\/(-5))\/(((-116)\/261)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3\/(-6)*(0 + 2). Let b be 2\/(-1) - -5 - v. Suppose b*y + 37 = 5*y. Calculate the remainder when 107 is divided by y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 383 = -3*h + 376, -26 = 3*q + 4*h. Let m = -38 - -38.1. What is the closest to -0.4 in 7, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -105 + 109 = -2*s, -3*n + 10 = -2*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-1\/15)\/((b\/(b*(((b\/b**(3\/5)*b)\/b*b)\/b)\/b)*b)\/b) assuming b is positive.\nAnswer: b**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 324 and 1476.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 96, 4, -276, 5, 11 in decreasing order.\nAnswer: 96, 11, 5, 4, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 2*a**2 - 53*a - 2. What is the remainder when y(29) is divided by 39?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 188, -5, 1046.\nAnswer: -5, 188, 1046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 3*u**3 - 3*u**2 - u - 25. Let g(p) = -2*p**3 + 2*p**2 + p + 24. Let m(y) = 3*b(y) + 4*g(y). Is m(0) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -290 = 1442*h - 2178 - 2438. Let 10*t - 2\/9*t**4 + 6 - 28\/9*t**h + 2\/9*t**5 + 4\/3*t**2 = 0. Calculate t.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 568450260.4 rounded to the nearest ten thousand?\nAnswer: 568450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 6*b**2)*(16*b + 11*b - 37*b).\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (1540*i + 1836*i - 794*i)*(0 + 3 - 4).\nAnswer: -2582*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from aiucccci?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 48371241433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10*j + 480 + 486 - 2*j**2 - 912)*(j**2 + 2*j**2 - 4*j**2).\nAnswer: 2*j**4 + 10*j**3 - 54*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = -14 + 186. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j + 24. What is g(7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -60\/11, 1\/9, -14, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -q + 7. Let p be t(3). Suppose -24 = -2*u + p. Find the second derivative of 28 - 9*w**5 + u*w - 28 wrt w.\nAnswer: -180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-7 + (1135\/60 - 12))*6\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -149 - 426. Suppose 5*y + r = 91, -4*y + h = y - 5*r. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2050)\/(-6314) - (-12)\/(-22)*(-1)\/(-3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 12164.8 centuries?\nAnswer: 14597760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -4*o**2 + 84*o - 433. Let h be t(10). Suppose 0*m + 3*m = u + 6, 4*u + 2*m = 18. Solve 6 = 4*w - u*p, 0 = w + 2*p - h - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 40, 65, -24, -2, 1.\nAnswer: -24, -4, -2, 1, 40, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*m**3 - 2*m + 3*m**3 + m**2 + 19*m**4 - 18*m**4 - 3*m**3 to c*m**2 + y*m**3 + g*m**4 + k + w*m and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -26 + -5154250?\nAnswer: -5154276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2 and 1547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 10 + 41 = -4*f, -2*f = 5*w - 85. Suppose 4*k = s - w, 5*s - 16 = -3*k - 0. Which is the closest to -1\/4? (a) -4 (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the second derivative of -5*j**8\/56 + j**5\/10 - 5*j**4\/6 + 2*j + 1. Find the third derivative of a(o) wrt o.\nAnswer: -600*o**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = -11 - 14. Suppose -2*k = -5*m + 24, -4*m + 71 - 28 = -5*k. Let q(a) = -6*a - 4. Let t(y) = -9*y - 6. Give g*t(d) + k*q(d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -4750, -18330, -40972, -72676, -113442, -163270?\n\"Answer: -4531*b**2 + 13*b - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-5\/6)*i\/i**(2\/21) assuming i is positive.\nAnswer: i**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 3, g: 7}. Give prob of sequence ig.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -611, -1234, -1857, -2480, -3103?\nAnswer: -3726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/(-4))\/(9*(-2)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 5*u + 24. Let h be w(-9). Let r = -17 - h. Which is the nearest to -2? (a) r (b) 0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 670 = -136. Let s = -403 - d. Solve 0 = -i - 1 - s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -47*w - 208 = -63*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y**3 + 50*y**2 + 278*y - 116. Let v be p(55). Sort -3, 0, v, -1, -4 in increasing order.\nAnswer: -4, -3, -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 133 < 661\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*(-32)\/(-8)*-1*2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -z**3 - 5*z**2 + 13*z + 3. Let n(g) = -g**3 - 5*g**2 + 12*g + 3. Let h(a) = -6*l(a) + 7*n(a). What is the units digit of h(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 430012477\/4175 + -102997. Is i > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in 1\/8, -11\/4, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -287 - -289. Let g be 51\/63 + 4\/(-6). Which is the closest to i? (a) -4 (b) g (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -360*c**4 - c**3 + 1 + 119*c**4 - 3*c - 7*c**2 + 2*c + 121*c**4 + 124*c**4 to v*c**2 + l*c**3 + b + w*c**4 + p*c and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -18620926 + 29256502. Let s = j - 5535576. What is s rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the third derivative of w**5\/270 - 31*w**4\/54 + 527*w**2. Factor p(f).\nAnswer: 2*f*(f - 62)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*z**3 + 7*z**3 - 4*z**3)*(2099*z - 4171*z - 380*z - 4142*z) in the form m*z**4 + x*z**2 + s*z + f + h*z**3 and give m.\nAnswer: 6594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 2*w**2 + 171*w. Let f(s) = 14*s. Give f(l(n)).\nAnswer: 28*n**2 + 2394*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2430 - 2426. Let f(y) be the third derivative of 0*y + 0*y**3 - 1\/210*y**7 - 1\/20*y**5 + 14*y**2 + 0 - 1\/40*y**6 - 1\/24*y**v. Let f(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(2*(-1 + sqrt(343)) + (sqrt(343) + 0 + sqrt(343))*-4 - -2*(sqrt(343) + 1 + 3)) + 4 + 2)**2.\nAnswer: -6720*sqrt(7) + 88708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -j = -2*y + 13, 2*y - 110 = -102 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put together 1711 and -7.51.\nAnswer: 1703.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m**3 - m**2 + m. Let d(b) be the second derivative of 7*b**5\/20 - b**4\/12 + b**3\/2 - b**2\/2 + 2*b - 5. Calculate d(p) - 3*w(p).\nAnswer: 4*p**3 + 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -4*h. Suppose 3 = u + 5*i, 2*i - 3*i = -3*u - 7. Let x be u - ((-18)\/1)\/3. Solve -x*t + 12 - 32 = h, 0 = -5*n - 5*t - 35 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12*(-1*2\/(-14))\/(1270\/(-40005)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2839 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -469 (base 13) to base 6\nAnswer: -3311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(3*(2*sqrt(190) + sqrt(190) + sqrt(190)))\/(sqrt(90)*2) + -1 + -3)*-5.\nAnswer: -10*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 35971.668 minutes to days.\nAnswer: 24.980325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 151*54968\nAnswer: 8300168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 67312 (base 13) in base 5?\nAnswer: 21443032","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: What is (16\/36)\/(680\/(-65790))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4818384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3035\/7 + -433. Let v = -58\/455 + -1\/65. What is the second smallest value in v, -5, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 3, u: 5, j: 2, a: 8, z: 1}. What is prob of picking 1 y, 1 a, and 1 u?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1237 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*g + 16*g = 2*l + 4, 2*g = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -53 + 54. Let p = 0.01 + -2.01. Let w = i - p. Is w at most as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -36185747*o**5 - 34135*o + 422?\nAnswer: -723714940*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**2. Let f(w) be the first derivative of 11*w**3\/3 + 2416. What is 30*c(g) + 5*f(g)?\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 447.819 milligrams to micrograms.\nAnswer: 447819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-1\/5))**(-2\/163)\/((j*j**(-5)*j*j)\/(j\/(j\/(j*j**(1\/4)))))*(j**2)**(-1\/8)\/(j**1)**(10\/7) assuming j is positive.\nAnswer: j**(8979\/5705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 20231 + -29346. Let p = g + 6075. Round p to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -12*c**3 + 12*c**2 + 24*c + 16. Let p = 11 - 24. Let z = -14 - p. Let f(u) = -u**3 + u + 1. Let g(r) = z*h(r) + 16*f(r). Factor g(x).\nAnswer: -4*x*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -3043410 (base 6) to base 10\nAnswer: -145950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**2. Let o(c) = 4 + c**2 + 525*c + 521*c + 523*c - 1570*c. Calculate -5*l(u) + o(u).\nAnswer: -4*u**2 - u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 301080598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 37804, 150923, 339362, 603121, 942200, 1356599, 1846318?\n\"Answer: 37660*m**2 + 139*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -5*t**3 - 2*t**2 - 9*t + 2. Let s(u) = -u**2 - u + 1. Calculate -2*s(b) + x(b).\nAnswer: -5*b**3 - 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 46964, 2\/89, -1\/6, 4 in descending order.\nAnswer: 46964, 4, 2\/89, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is v in 3*v**4 + 591*v**3 - 14523*v**2 - 15111*v = 0?\nAnswer: -219, -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Do -2\/15803759 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 136*f - 213. Let b be d(3). What is the highest common divisor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - z + 184 = 0. Is -3 + 3 + -1 + z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 6*d**3 - 4*d**2 + 4*d. Suppose 4*t + 95 = 139. Let f = 14 + -18. Let g(i) = 17*i**3 - 12*i**2 + 11*i. What is f*g(q) + t*r(q)?\nAnswer: -2*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -149\/2911296 and 41\/2365428?\nAnswer: 37846848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**2\/3 + 86728*a\/3.\nAnswer: 2*a*(a + 43364)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (1771220\/12804)\/((-10)\/(-6))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 211 - 206. Suppose -o - 9*f + 46 = -6*f, v*o - 4*f - 135 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -112, 4, -4 in ascending order.\nAnswer: -112, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 3*q = 22 + 1, 3 = -k + q. What is the nearest to 2 in -1, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 115 minutes before 5:47 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/4*r**2 - 49\/4 + 7\/2*r.\nAnswer: -(r - 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 202849 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 48 (b) -3 (c) -2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 225942649 and 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 - -1. Suppose 0 = 2*m - 2*t - 284, 0*t + 556 = 4*m + h*t. Suppose -4*u = -4*a - 168, -4*a + 2*u = 5*u + m. What is a rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 13057*g**2 + 4*g**4 + 1728 + 2448*g + 14108*g**2 - 26349*g**2 + 100*g**3.\nAnswer: 4*(g + 1)*(g + 6)**2*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 113 a factor of 2344009059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 3, m: 2, c: 8, i: 2, h: 2}. What is prob of picking 1 i and 1 c?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -3*h + 20. Give m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - (56 - (-20 + 48))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -3808970.63 to the nearest 1000.\nAnswer: -3809000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 9) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 57927.899 to the nearest one thousand.\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 373063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 12.2 - 0.2. Let t = -11 + j. What is the closest to t in 5, -2\/9, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 134277?\nAnswer: 3, 11, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -375*r**4\/7 - 59925*r**3\/7 + 72270*r**2\/7 - 28956*r\/7 + 552.\nAnswer: -3*(r + 161)*(5*r - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -13, -5, -57, -4, -36 in descending order.\nAnswer: -1, -4, -5, -13, -36, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/15 and -133\/111336.\nAnswer: 556680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1737357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*a**3 - 242*a**2 - 7438*a - 31390.\nAnswer: -2*(a + 5)*(a + 43)*(a + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -324 + -13243053?\nAnswer: -13243410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -4*c**2 + 61*c + 898. What is z(-12)?\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 2*w**2 - 31*w - 43. What is c(19)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 27683 + -27472. What is the remainder when k is divided by 65?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t - 3. Give y(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 423 - 212 + 83*q**3 - 211 + (-3*q**3 + 0*q**3 + q**3)*(0 + 3 + 0) to the form z*q**3 + w*q**2 + h*q + k and give z.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 2*s**3 + 175*s**2 - 270*s - 268. Give j(-89).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 55621.22 litres to millilitres.\nAnswer: 55621220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -2*w. Let s(q) = -q - 17679. Determine s(m(z)).\nAnswer: 2*z - 17679","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -86\/101115 and 179\/780030?\nAnswer: 5460210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 21610103365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-5868)\/(-16) + (-6)\/8. Let d = r - 35. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 42*c + 56*c - 2201962. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve -21353*q = -21327*q + 104 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - (-1 + 3 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1048, -1009, -970, -931?\n\"Answer: 39*n - 1087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j**3 + 2*j**2 + 4*j + 1. Let y be v(3). Let a be y\/(-8) + 30\/4. Suppose a*x + 148 = 5*x. What is x rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 18 - 14*q + 10 - 60. Is n(-8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/51 (b) -0.0464 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 683 is divided by 579?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = 392103 - 392098. Let l be 1\/(6\/(-5) + 1). Sort b, -4, l, -43 in descending order.\nAnswer: b, -4, l, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/402 and 9\/4.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1308414 is divided by 387.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**2 - 8*t + 5. Let i(j) = j - 1. Let a(n) = 6*i(n) + z(n). Let l be a(3). Suppose -x - l*x = -12. Solve x*w + 3 = -5*m, 5*m = -2*w - 0*w + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -200585785, -200585789, -200585793, -200585797?\n\"Answer: -4*q - 200585781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5893 - 5870.976. Let f = x + -22. Let c = -0.0226 + f. What is c rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 655\/375 - (40342\/1150 + -35).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 + -53626372.\nAnswer: -53626377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 1, h: 5, s: 3, p: 1, u: 1}. Give prob of picking 1 h, 1 u, 1 s, and 1 v.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 204056 is divided by 1221.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 770 (base 8) to base 13.\nAnswer: 2ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 0*j - j**2 + 5*j - j - 4. Let n be v(4). Let q(r) be the first derivative of -r**3\/3 - 5*r**2\/2 - 3*r - 1. What is q(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 15 = 0, -2*a + 3225 = -5*o + 6*o. Let x = a - 1117. List the prime factors of x.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {o: 6, n: 13}.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 246 - 116. What is the remainder when q is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -6*v + 16. Let k be w(-6). Suppose 7*j + k + 53 = 0. Let y = j - -17. Solve 0 = b + y*b + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 197 and 8077788?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 33832360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 19 - 5. Suppose -v - 5 = 3*i, m = 3*v + v - 5*i. Let h be 1\/(-2) - (-2)\/3. Which is the nearest to v? (a) h (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - 4) + (40 - 32) - (0 + -11).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1 - 39. Let s be p\/(-14) - 10\/(-35). Let o = 19\/6 + -5\/2. Which is the nearest to o? (a) 2 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15519680?\nAnswer: 2, 5, 11, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -201 (base 5) in base 11?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 10878 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 593 = 2*u - 5*m, 590 = 2*u + 2*m - 6*m. What is the remainder when u is divided by 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 12 - 36. Let f = -173969\/22 + 7910. Calculate the common denominator of f and 423\/g*8\/30.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 10*x**2 - 11*x**2 - 7*x - 5 + 0*x. Let c be h(-5). Let v(u) = 3*u + 3*u - 4 - u**2 + u. What is v(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 2*b + 14 = 0, -3*q - q - 4*b = 12. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**(-1\/7))**(-4\/27)\/(t**(-3))**(-12) assuming t is positive.\nAnswer: t**(-2276\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11133599?\nAnswer: 11133599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -q**2 - q. Let f be h(-1). Suppose -2*g + 2*s + 23 + 5 = f, 0 = -4*g + 2*s + 56. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 9249318 divided by 15138\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -62045238?\nAnswer: -62045238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -27\/615488 and 151\/1344.\nAnswer: 12925248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -48219*n - 530420. Calculate d(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5372 and 10973653?\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 802880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 3*n**3 + 15*n**2 - 135*n - 139. Determine z(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 67*b - 332. Let g be w(5). Let y(r) = -r**3 + r**2 + r - 1. Let i be y(1). Sort g, i, 1 in ascending order.\nAnswer: i, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50272 = 54*c - 411891 - 144635. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (8799\/735 - 12)\/((-1)\/7). Put v, -2, -0.1, -5\/7 in increasing order.\nAnswer: -2, -5\/7, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 399243985 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -14244807, -56979260, -128203351, -227917080, -356120447?\nAnswer: -512813452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 3196 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -4*x - 26. Let h = -13 - x. Solve h = -4*s + 4 - 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 66 and 140500?\nAnswer: 4636500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h be (6 - 7)\/(1\/5). Is h at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 332 = 3*q, 5*q + 2*b + 547 = 4*b. Let z = q - -238. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 41*o**6 + o**3*y + 3*o**2*y - 51*o**2 wrt o.\nAnswer: 4920*o**3 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 512 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: Let f = -51 + 45. Let i(h) = h**2 - 5*h + 12. Let a(c) = -c**2 + 4*c - 11. Give f*i(k) - 7*a(k).\nAnswer: k**2 + 2*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -2*i**2 + 1488*i + 184517. Let a(y) = 3*y**2 - 1488*y - 184518. Let z(w) = -5*a(w) - 6*g(w). Factor z(l).\nAnswer: -3*(l + 248)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (4\/5)\/((-52)\/130) + 21 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -696 - -573. Let k = -119 - q. Solve -1 = 2*w - h - 2, 3*h = k*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 8*m**3 + 529*m**2 + 66*m - 1. Give r(-66).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -1.97742 - -0.07\nAnswer: -1.90742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8875, 17711, 26501, 35245, 43943, 52595, 61201?\nAnswer: 69761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*v - v**2 - 3*v)*(-10 - 2 - 3)*(-1 - 12 + 6).\nAnswer: -105*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 15375*u**3 - 92230*u**2 + 138255*u + 180.\nAnswer: 5*(u - 3)**2*(3075*u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1533\/4 - 383. Factor 1\/4*o**3 + 0 - 1\/4*o - 1\/4*o**2 + h*o**4.\nAnswer: o*(o - 1)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:20 AM and 9:05 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u**3 + 7*u. What are the prime factors of i(-5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(32)\/(sqrt(16)\/sqrt(2)))\/(sqrt(224)\/sqrt(7)) + ((sqrt(112)\/sqrt(8))\/sqrt(7))**2 + (sqrt(32) + 3)**2.\nAnswer: 97*sqrt(2)\/4 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -84, -74, -62, -48, -32?\n\"Answer: j**2 + 7*j - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 19\/4 of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 5*o - 19 = 2*b, 4*b = 4*o + 44. Calculate the least common multiple of 3 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 5 (b) -3 (c) -4 (d) -25 (e) 7 (f) -68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 30*a*w**5 - 10*a*w**4 + 2*a*w - 15*a + 3*w**3 + 11*w - 2 wrt w.\nAnswer: 600*a*w**3 - 120*a*w**2 + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.0355 + -0.17432. Let v = 25 + -24.79. Let c = v + y. What is c rounded to five decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 2*o - 5. Suppose -3*y - 12 = 0, 3*w - w - y = 2. Let b be 0 - w - (-1 + -3). Is k(b) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 519 a factor of 1272069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 2*u**2 + 3*u - 3*u. Let n(h) be the second derivative of h**5\/120 + h**3\/2 - 3*h. Let d(z) be the second derivative of n(z). Calculate d(q(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dfox when four letters picked without replacement from zoooozodoozxfxoc?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-7 + 5)\/(16\/1784). Let k = h - -445\/2. Which is the third biggest value? (a) k (b) -1\/67 (c) 1\/6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-6)\/4*(0 + -2). Suppose -o*k - 2*k = -15. Let h(x) = -3*x + 0 + x**k + 0 + 1. Determine h(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = -34 - 26. Let x = 4 - i. What is the smallest common multiple of x and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*c**4 - 8*c**4 - 5*c**4 + (4*c - 4*c + c)*(0*c - c**3 + 0*c) + 6*c**4 + 11*c - 11*c in the form y + d*c + m*c**3 + s*c**2 + r*c**4 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/(-6) + 4\/6. Let l be 9\/(-9)*(49 + x). What is the units digit of l\/1*6\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + -3 - (-10 - (-1 - (1 - -1)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 2*y**2 - 5*y + 1. Let m(k) = k**3 + 4*k**2 - 9*k + 2. Let w(f) = -5*l(f) + 3*m(f). What is the units digit of w(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -226 - -182. Let r be (-2)\/6*(-33)\/x. Is r smaller than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (2*sqrt(2592)*6 - (0 + -1 + sqrt(2592) + sqrt(2592))**2).\nAnswer: -10372 + 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -4745, -9504, -14261, -19016, -23769?\n\"Answer: i**2 - 4762*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 414 minutes after 4:53 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/12 less than or equal to 1236110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0*y + 0*y - 4*y**2)*((5 - 5 + 1)*(-2 - 5 + 5) - 3 + 1 + 1 - 5 + 3 + 3 - 1 - 2 + 5 - 2 + 2 + 6 - 4 + 5 + 0).\nAnswer: -28*y**2 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*i - 5512*i**3 + 5510*i**3 - 43*i - 34*i**2 + 90 = 0 for i.\nAnswer: -15, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 5*i + 5. Let b(z) = -5. Let u(p) = 6. Let t(a) = -5*b(a) - 4*u(a). Let s(g) = 5*t(g) - y(g). Let q(c) = -4*c**2. Calculate q(s(k)).\nAnswer: -100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/4, -1, 1130.4285?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (4*y - 9*y - 4*y)*(-2*y - y + 0*y)*(-y**2 + 11 - 11) - 3*y + 21*y**4 - 10*y**4 - 15*y**4 in the form j*y**4 + d*y + a*y**3 + f*y**2 + i and give j.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -13 - a8a19?\nAnswer: -a8a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:29 AM and 8:08 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5\/2*142\/5. Suppose -5*y = -5*t + 40, 8 = 2*y - 4*y. Suppose -5*s - t*v + 94 = 0, v = -0*s + 4*s - p. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 758158374*d**2 - 139*d**3 - 758158374*d**2.\nAnswer: -139*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 173464704 divided by -10536?\nAnswer: -16464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 36 minutes before 4:06 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 261708859 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -93 + 118. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (((sqrt(147)*4)\/sqrt(7))\/(1*sqrt(63)))**2*3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 868334 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 8217d6 (base 14) in base 5?\nAnswer: 2110234403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be -1 + (-4 - -2) - (-19)\/6. Let k be 5*(-2 + 1 + 0). Let m be (31 + -26)*2\/25. What is the nearest to j in m, k, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-22)\/(-165)*-9)\/((-2)\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 + -6. Let h = 5 + -5.3. Let y = -0.8 - h. Which is the smallest value? (a) y (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -676*a - 130. Is 47 a factor of p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 167 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4893*h*k**3*v - 4744*h*k*v**2 - 2*h*v**3 + 31*k**3*v**3 + k**2*v + k*v**3 + 2*v**2 wrt k?\nAnswer: 29358*h*v + 186*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:49 AM and 4:17 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -v - 7. What is c(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 11*a - 3. Let d be u(2). Solve -3*o - 4*k = -9, 0 = -5*o + 3*k + 5 - d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25323219?\nAnswer: 3, 19, 49363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(2\/29)\/(j*j**10*j*j*j) assuming j is positive.\nAnswer: j**(-404\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b and 1 h when three letters picked without replacement from bbhbhh.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(5*(0 + sqrt(500)) - (sqrt(500) - 5*-4*sqrt(500))) + -4)**2.\nAnswer: 3840*sqrt(5) + 1152016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 2*t**3 - 2*t + 2. Suppose 3*d - 91 = 83. Suppose -14 = 11*i - d. Let w(z) = -z**3 + 2*z - 1. Give i*w(p) + 3*r(p).\nAnswer: 2*p**3 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f. Let g(c) = -2*c - 43980853. Calculate j(g(r)).\nAnswer: -2*r - 43980853","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 8615754356 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(-6*sqrt(104) - sqrt(104)) + -3*-2*sqrt(104))\/((1*sqrt(256) + sqrt(16) + sqrt(16))\/(sqrt(8)*4 - sqrt(2))).\nAnswer: 70*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (13\/(-1) - -9) + (-7 - -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 157898405 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r**2 + r**3 - 2*r**2 + (-9*r**2 + 7 - 7)*(2 + 4 - 1)*(-8*r - r + r)*(1 + 0 + 0))*(2*r**2 + 2*r**2 - 5*r**2).\nAnswer: -361*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = -20 - -22. Suppose 0 = 4*y - j*y. Let i = 212 + -212.1. Which is the closest to i? (a) y (b) -4\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a - 3*z = 29, -2*a - 3*z - 5 = 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50*n + 6 = -52*n. Let g(r) = 15*r + 42. Let o be g(n). Let w = 0.1 + -0.4. Put 1.2, o, w in decreasing order.\nAnswer: 1.2, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 16101817 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-2 - 8) + (0 - -2) + 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*n - 40 = 460. Calculate the lowest common multiple of (-1 - n\/(-14))\/((-3)\/(-14)) and 50.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2 (b) 0.3 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:46 AM and 9:31 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -73\/838 + -724997\/3352. Is x at most as big as -215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 + 5 = 3*i - 4*d, -2*i = -2*d + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2 - (1 - 1)*1. Suppose -o - 16 = -a*v - 4*o, 0 = -3*v - 4*o + 22. Let j(b) = b**2 - 1. Give j(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 13*q**2. Let i(r) = 172*r**2 - 1. Determine i(u(a)).\nAnswer: 29068*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2757392009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor u**2\/5 - 293298*u\/5 - 1290608.\nAnswer: (u - 293320)*(u + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, -11, 41.95 in descending order.\nAnswer: 41.95, -0.5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**2\/7 - 6248*g\/7 + 4879688\/7.\nAnswer: 2*(g - 1562)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1 (b) -1 (c) 0.4 (d) -6\/5 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*r - r = r. Suppose k + 4*l - 4 = 0, r = -k + 3*l - 0 - 3. Which is the closest to -0.1? (a) -0.5 (b) 0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17146624 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 20370 and 46560.\nAnswer: 325920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**3 + 3*n**2 + 7*n + 2. Is j(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m - 23. Give b(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 28681856*n**2 + 9563486*n - 2?\nAnswer: 57363712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-2)*g**(-1\/3)\/g*(g**(-1\/4)\/g*g*g)**1)\/((g**(2\/7))**30*(g*g**(3\/7))\/g*g**(-2\/3)) assuming g is positive.\nAnswer: g**(-131\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6010 + 29897\/5. Let j = p - -31. Let h = -2.13 + 1.73. Which is the nearest to j? (a) -1\/5 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -7 - -7. Suppose 2*j - 3 - 15 = u. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y**3 - 2*y**2 - y - 5. Let i be s(4). Let k = i - 17. Suppose 4*v - k*v + 72 = 0. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-8)\/(q**7*q))\/(q\/q**(2\/7))**(-4))**6 assuming q is positive.\nAnswer: q**(-552\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -706 - -192. Let g = l + 853. Calculate the remainder when g is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 209557316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than -6\/235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 25*p**3 + p**2 + p - 1. Let t = 53 - 74. Let l = -20 - t. What is the tens digit of o(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = o**2 + 18*o - 101. Let p be h(-23). Suppose 4*t - 2166 = 2*u, p*t = 12*t - 5*u + 1053. Is 29 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4317017.8 rounded to the nearest ten thousand?\nAnswer: -4320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l**3 + 14*l**2 - 13*l + 7. Let j be h(13). Suppose n = -33 - j. Let t be (-6)\/(-8) - (-30)\/n. Solve 5*o + 4*z + 19 = t, -2*z - 3 = z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes before 1:27 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1 + 12\/16*-2. What is the nearest to r in -0.5, 4, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -278*a - 57*a + 2282 = -9*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -303 (base 4) in base 8?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 18 - 41 - 4*i**2 - 6*i**2 - 16 wrt i.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2 + -2.2. Let w = -0.67 + 0.77. What is the third smallest value in g, 6, w?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -c**2 - 2*c + 1. Let n be b(2). Let w(x) = x + 13. What is the units digit of w(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/9 + 206869816\/(-72521280). Let m = 6\/25181 - o. Calculate the common denominator of 127\/48 and m.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -94 - -60. Let g = -20 + 40. Let k be (g\/(-40))\/((1\/70)\/1). Which is greater: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 165670172?\nAnswer: 2, 41417543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = -66626 - -65696.06. Let v = c + 911. Let p = -24.9 - v. What is p rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 - (-16 + -15 + -10 + 14)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -17 + 19. Suppose 0*q = -5*q + 15. What is the second derivative of c*u + u**q + 0*u**3 - u wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1250998466*g**4 + 959314296 with respect to g.\nAnswer: -5003993864*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e, 1 w, 1 b, and 1 r when four letters picked without replacement from {r: 5, w: 1, b: 3, e: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -180*x**2 + 3829*x + 2992. What is a(22)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -93*v - 973*v - 126*v - 471*v.\nAnswer: -1663*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2903 - -2967. Solve 0 = -44*p + 28*p + z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1317 a factor of 890829336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Let t be 4\/18 - 1393\/(-9). Let h be (837\/(-18))\/((-3)\/4). Suppose q + 2*x = -q + h, 3*x = 0. What is the greatest common factor of q and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 586.3 + -586.30019175. Round o to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*r**4 + r**4 + r - 12*r**3 + r**4 + r**4 in the form p + v*r**4 + c*r**2 + u*r**3 + f*r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from {g: 1, x: 6, e: 4}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 3*q - 30, 2*q - 8*t = -4*t + 20. Solve y = 3*m + 2, 5*y - 4*m + 3*m = q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -4*p - 2. Let b = -18 + 19. Suppose 2*a = -8*k + 3*k - 9, 5*a = 2*k + 21. Let n(v) = -v. Determine b*m(j) + k*n(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -2 (c) -77 (d) 1\/5 (e) -1 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = m**2 - 6*m + 2. Let p be j(4). Let t = -5 - p. Let f(d) = -2*d**3 - 2*d**2 - d - 1. What is the lowest common multiple of f(-2) and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*m = 8*m + 2, 4*m = 5*r - 7. Solve 2*v = -r*j - 5 - 2, -3*v = -j + 16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 3 + 3 = 0, -2*m - 5*c = 1. Let g(p) = -p - 3 + m + 2*p. List the prime factors of g(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -79*d**2*j**2 - d**2*j - 18375*d**2 - 10435542*d*j**2 wrt d?\nAnswer: -158*j**2 - 2*j - 36750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 124231 - -121342?\nAnswer: 250013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-30)\/105 + 4\/(-35).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3361*g + 55897 - 252006 - 133269 for g.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*j - 29403 = -29936 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 135 minutes after 12:53 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = m**2 - m + 7. Let z = 67 - 74. Let a be (1 + (-4 - -4))*z. What is the tens digit of r(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1589368.5 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 104744.\nAnswer: 2, 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-4)\/x**2)**4 assuming x is positive.\nAnswer: x**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 6246 + 2295 = -3*n, -5*p - 5*n + 21365 = 0. What is the greatest common divisor of p and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/366320 or 1968?\nAnswer: 1\/366320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-35 - (-320)\/8) + (-218)\/14. Which is the smallest value? (a) -3 (b) 1\/7 (c) 2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = a**2 - 8*a + 1. Calculate n(-8).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -13, 1, 2, -3, -1333, 19 in increasing order.\nAnswer: -1333, -13, -3, 1, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1 + 15114405?\nAnswer: 15114404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -9*t**3 - t**2 - t. Let j be k(-1). Suppose b + g = j, 3*b + 0*b - 31 = -4*g. Solve 0*u + 3*w = -3*u - 15, u = 5*w - b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1597.904 rounded to the nearest 10?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - (-1 - (3 + -3 + -4)) - 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, -5, 2, 5, 8726, 1, -4 in ascending order.\nAnswer: -5, -4, 1, 2, 5, 11, 8726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 75\/(-380)*-3 - (3\/6 - 29\/(-116)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 37901 and 251.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10488982?\nAnswer: 2, 7, 37, 20249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 4 + 2)*(-1 + 4 - 1)*(-4*w + 0*w - w)*(0 - 2 + 3) in the form i + k*w and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2967\/2 + 14831\/10. Which is the biggest value? (a) v (b) 30 (c) 4 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6339*g**3 + 16243*g**3 - 9906*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (17 - -1) + -182 + 169 - (0 + 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5815242?\nAnswer: 2, 3, 269, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 429190840\/66279560613 + -1\/6405679. What is the common denominator of m and 85\/12?\nAnswer: 41388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -r**2 + r**2 - r**3 + (3*r**2 + 0*r**2 - 4*r**2)*(2*r + 1 - 1) + 925*r**3 - 467797*r**2 + 467797*r**2 to u*r**2 + a*r**3 + b*r + y and give a.\nAnswer: 922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(5))*-1 + -3*(1 + sqrt(5)))**2.\nAnswer: 24*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 8 = -i. Suppose -2*k - 8 = i*q - 5*q, 0 = -4*q + 3*k + 10. Solve -2*b = -q*b + j + 9, -3*b - 3*j + 9 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 66 divide (46607\/11 - 13) + 0\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -13.51 - 4.49. Put p, 5, -2 in descending order.\nAnswer: 5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d**2 - 2*d + 2. Let r be q(4). Suppose 2*p - p = r. Let k = p - 5. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 6.9, -1\/4, -1\/607?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 183, 659, 1459, 2583, 4031?\n\"Answer: 162*j**2 - 10*j + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes after 12:07 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 959 + -459. What is the highest common factor of 1300 and i?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -16 + 15.9. Let c be (-6)\/(-2) - (-4 - -2). Let a = 0 + -0.5. What is the closest to 0 in c, i, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*j**3 - 14*j**3 - 15*j - 54*j**2 + 54*j**2 wrt j?\nAnswer: -102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 63861 and 72984.\nAnswer: 510888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*o**2 - 2 - 8*o**2 + 2*o**3 + 4*o**2 + 6*o to t + w*o**3 + s*o + m*o**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 686 and 2156?\nAnswer: 15092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 6008911271 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 272789*u**6 + 10*u**3 + 48*u**2 - u - 821?\nAnswer: 32734680*u**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 23*y + 57. Give z(-20).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -38261347*t**4 - 1107*t**2 + t + 140 wrt t?\nAnswer: -918272328*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-6)\/15*(-1125)\/18. Let r(w) = 2*w**3 - 50*w**2 + 24*w - 53. What is the units digit of r(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*v + 4*v + v**2 - 3*v**4 + 18*v - v**3 - 6*v**3 + 2 + 3*v**3 as n*v + j*v**4 + f*v**2 + z*v**3 + t and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 364 = -44*q + 56 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 2, 1, 5, 3034, 12 in ascending order.\nAnswer: 1, 2, 3, 5, 12, 3034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 840 divide 568182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -31325, -28579, -25833?\n\"Answer: 2746*n - 34071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k**2 - k + 102. Determine m(-15).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22 + (29 - -1) + -36.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1179)\/126 + 10*1)*(-7)\/(-3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -4*o**3 - 3*o**2 - 3*o - 3. Let a(n) = -919*n**3 + 923*n**3 + 3 + 1 + 4*n**2 + 4*n. Calculate 3*a(f) + 4*x(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m be 186\/217*14\/18. Suppose t + 3*l = -12, t - 5*l - 37 = -3*t. Factor m*p**5 + 0 + 6*p**t - 14\/3*p**2 - 10\/3*p**4 + 4\/3*p.\nAnswer: 2*p*(p - 2)*(p - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*y - 4*y + 0*y)*(50 + 90 - 252).\nAnswer: 224*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = -96 + 60. Does 14 divide 3 - ((-974)\/9 - 8\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:58 AM and 12:58 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000030332343 to six decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -m**4 - 21*m**2 + 1422.\nAnswer: -4*m**3 - 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 16822\/35 - 2396\/5. Suppose 2*n = 0, 3*l - n = -2*n + 9. Factor -2\/7*r**l - 16\/7 - 4\/7*r + h*r**2.\nAnswer: -2*(r - 4)*(r - 2)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (8\/(-10))\/((-4)\/(-550)). Let h = -2272 - -1442. Let a = w - h. What is a rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 17 + -11. Let h = 10 - u. Suppose h*x = -34 + 138. Calculate the highest common divisor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -62*q = 2*z - 140, -7*q + 4*q = q - 25*z + 30*z - 48 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 3812 at most as big as 4160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -8226 divided by -3426?\nAnswer: 1371\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -28b1b (base 12) to base 13.\nAnswer: -1cb92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 20131972451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -33 or -986\/31?\nAnswer: -986\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.347 and 0.02?\nAnswer: -0.00694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -n**2 + 1. Let o(m) = -m**4 - 5*m**2. Let x(q) = -5*d(q) + o(q). Differentiate x(c) with respect to c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 1600826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 33 = 1. Let b = q - 16. Let k = b + -2. Sort 0.2, 3\/8, k in descending order.\nAnswer: 3\/8, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 727 + -644. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 4 + 2*u + 0)*(-429 - 674 + 191) in the form w + g*u and give g.\nAnswer: -1824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = -4*j - 56, 2*u + 32 = 6*u + 2*j. Suppose 5*d - 10 = u. Suppose d*t + t - 15 = 0. Solve 5*w - 2*n + 7 = 1, 0 = -t*w - 3*n + 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-11 - 1 - -7)*(-26)\/5. Calculate the highest common factor of a and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sbjj. What is prob of picking 2 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -377*t**4 - 18*t**2 + 240*t + 2. Let c(f) = 376*f**4 + 24*f**2 - 238*f - 2. Let d(v) = 3*c(v) + 4*i(v). Find the second derivative of d(a) wrt a.\nAnswer: -4560*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -65218.6 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -5170410 to the nearest 10000.\nAnswer: -5170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2247 is divided by 400.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3137 or 498815\/159?\nAnswer: 498815\/159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23966414?\nAnswer: 2, 23, 521009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.05442*4\nAnswer: 0.21768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2825, 5261, 7707, 10163, 12629?\nAnswer: 15105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 826332889?\nAnswer: 17, 48607817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:26 PM and 9:16 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -875 - -2?\nAnswer: -873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -23, -24, -25, -26, -27, -28?\n\"Answer: -y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 44, 55, 72, 95, 124, 159?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 34, 2922, 5810, 8698, 11586, 14474?\n\"Answer: 2888*v - 2854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -244.09 - -243. Let z = b + -11.16. Let g = z - -0.25. Is 2 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6907301.\nAnswer: 241, 28661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 2*r - 4*v - 818 = 0, 4*r - 4*v - 3296 = 0. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9.533 - -4.533. Let u = 0.7 + -0.2. Let b = -8.2 + 9. What is the smallest value in b, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -3*m**2 + 4*m - 23. Let g(k) = k - 14*k**2 + 0*k + 16 + 16*k**2 - 3*k - 5. Calculate 7*g(n) + 4*w(n).\nAnswer: 2*n**2 + 2*n - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.019473 and -1.\nAnswer: -0.019473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-53)\/9 - (3087\/1764 - 190\/72)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 7, u: 3}. What is prob of sequence duu?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = 298 + -294. Let r(o) be the first derivative of -3\/8*o**x + o**3 + 6 + 1\/20*o**5 + 0*o - o**2. Determine m, given that r(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 47212627 a multiple of 1960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j\/j**(3\/2))\/j**(-5))\/(j**(-2\/3)\/(j\/j**5)))**(3\/32) assuming j is positive.\nAnswer: j**(7\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*q - 66 + 50. Let w(d) = -d**2 + 2*d + 5. Determine w(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -16688 (b) 2\/17 (c) -0.2 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3)\/6*(-1 + -9). Let j(c) = 3*c**3 - 5*c**2 + c - 5. Let k(o) = -4*o**3 + 6*o**2 - o + 6. What is p*k(u) + 6*j(u)?\nAnswer: -2*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1397251 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -28*g**3 - 2*g**2 - 4*g - 6. Let h be z(-2). Suppose 8*x - h = 374. Calculate the remainder when x is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) 33 (c) 0.2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 208035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 430000 (base 6) to base 11\nAnswer: 24321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*v - 3*z = 4*v - 9, 0 = -5*v + 2*z + 40 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*n + 50 - 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 41 + -32. Calculate the greatest common factor of 99 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 20204 - 116?\nAnswer: 20066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5, 5.7, -0.3, 22, -2\/9, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*n - 48*n - 320 = -33*n for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -107\/2080 and -77\/8.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 2543.2674 rounded to the nearest 10?\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 767 and 2063230.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -4, 0, 50, 5 in ascending order.\nAnswer: -4, -1, 0, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 370 - 367. Suppose -5*z - 4*k + h*k = 11, -z - k - 3 = 0. Let g(q) = -3*q**2 - 2*q - 1. Determine g(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 5439, 21735, 48895, 86919, 135807?\n\"Answer: 5432*q**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4\/7 (b) -1.4 (c) -0.2 (d) 109 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*k - 297560 = -33*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -0.1, 0, -2\/17, -0.332245 in decreasing order.\nAnswer: 0, -0.1, -2\/17, -0.332245, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 53.8, -0.4, 2\/9, 5, 178 in ascending order.\nAnswer: -0.4, 2\/9, 5, 53.8, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t - 21 = 3*k, -3*t + 9*k - 10*k = -5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-12 - 2)*3\/(-6). Find the common denominator of x - 4 - 155\/12 and -111\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor r**3 - 5*r**2 - 374*r + 2520.\nAnswer: (r - 18)*(r - 7)*(r + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -31 + 8*m - 7*m + 25*m**3 + 25 + 11 as g*m**2 + t*m**3 + l*m + o and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 29308 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2808*n**2 + 362 - 362.\nAnswer: 2808*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = c**3 + 23*c**2 + 76*c - 3. Let w be r(-19). Put 4, w, -75 in increasing order.\nAnswer: -75, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -782734, -782738, -782742?\nAnswer: -782746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vomeu. What is prob of picking 2 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 280 - 283.38. Let l = u + -0.62. Sort -1\/6, -18, l.\nAnswer: -18, l, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21599622 divided by -621?\nAnswer: 34782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 8123*u. Let p(n) = -11*n - 13. Give a(p(h)).\nAnswer: -89353*h - 105599","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1511328 divided by 17992.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 541.6 - 491. Let j = 2303 - 2354. Let k = j + x. Which is the closest to -0.1? (a) -2 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 33.055 - 35.055. What is the smallest value in 19.04, -1\/2, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 - 31 = 5*p. Let k be ((-128)\/320)\/((-6)\/(-45)). Sort 1, k, p in ascending order.\nAnswer: p, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 43*v - 114 = 62*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 3, w: 1, g: 3}. What is prob of sequence mmg?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b\/((b**(-9\/7)*b*b)\/b)))\/b**(-34) assuming b is positive.\nAnswer: b**(236\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = -30 - -69. Is 4\/12*d - 1 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4134 - 4133. Sort -20, -3, z, 5 in decreasing order.\nAnswer: 5, z, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 208 = -93*t + 97*t. Factor 0 - t*x**2 + 8 + 38*x - 4*x + 10*x.\nAnswer: -4*(x - 1)*(13*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 320 minutes before 2:57 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3997800*h**2*v**3 - 48*v**3 + 18*v + 54 wrt h.\nAnswer: 7995600*h*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -651*d = -216*d - 510 + 75 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 150612*c**3 - c**2 + 21*c - 31408252.\nAnswer: 451836*c**2 - 2*c + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 2, -2\/5, -17, -1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 87 = -4*g - 3*q, 3*g = 5*q + 39. Let b be (25*3)\/(27\/g). What is the greatest common factor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1276919, -2553833, -3830747, -5107661, -6384575, -7661489?\n\"Answer: -1276914*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 242 and 177870?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -12*u + u + u**2 - 386 + 188 + 162. Let y be x(14). Is y smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4084 - 3868. Solve 43*j = 7*j + u for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 31, 107, 185, 265, 347?\n\"Answer: w**2 + 73*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 0*m - 172 = 0. Let d = m + 45. Suppose -41 + 17 = d*p. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000470966227 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 11470993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g - a + 29, 2*g + 4*a + 479 = 531. Calculate the highest common divisor of 176 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c**2 + 4*c - 5. Suppose 2*y + 13 = -w, 12 = 3*w + w. Let l = y + 38. What is the remainder when l is divided by b(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1063782299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h be -9 - (-7)\/(7\/(-5)). Let l(s) = -10*s - 14. Let z(m) = 2*m + 3. Give h*z(a) - 3*l(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 15*v**3 - 12*v**2 - 10*v + 1. Let c be j(-1). Put c, -23, -5, 3 in ascending order.\nAnswer: -23, c, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2 and 402.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*y**3 - 17*y**2 + 9384552 + 17*y**2 + 9384544 - y**3 - 18769096.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1)\/4 - (-1 - -1). Let s be (22 - 23)\/(-1 + 2). Which is the smallest value? (a) y (b) s (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -3*m**2 + 7084 + 7070 - 14154. Let h(q) = -7*q - 25. What is g(h(r))?\nAnswer: -147*r**2 - 1050*r - 1875","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 24*s**2 - 3*s. Let n(k) be the second derivative of -k**4\/24 + 49*k**2 - 24*k + 3. Let w(o) be the first derivative of n(o). Calculate w(z(b)).\nAnswer: -24*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 29 + -25. Suppose 0 = 16*z - 13*z + 15, -n*s + 146 = 2*z. Is s a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32207489?\nAnswer: 19, 1695131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vqwqqaauwawuavvvuuq. What is prob of picking 3 a and 1 u?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a**4\/7 + 16*a**3\/7 - 20*a**2\/7 - 16*a\/7 + 18\/7 = 0 for a.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -10*r - 25*r + 7*r + (-5*r + r + 3*r)*(4 + 3 - 6) as z*r + q and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45404 - 42530 = 14*u - 145428. Calculate the remainder when u is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000133811 rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 311542, 623071, 934600, 1246129, 1557658, 1869187?\nAnswer: 2180716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 5, a: 3, e: 6, m: 5, h: 1}. Give prob of sequence eah.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:03 AM and 2:45 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -286334, -572667, -859010, -1145363, -1431726, -1718099?\n\"Answer: -5*l**2 - 286318*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -12, 5644 in decreasing order.\nAnswer: 5644, 5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -166 divided by 83?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.004559789834 to 4 dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (26 + 1477*p - 10 - 1479*p)*(-245*p**2 + 245*p**2 - 15*p**4).\nAnswer: 30*p**5 - 240*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*z + 97 = -729. What are the prime factors of z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a such that 2*a**5\/11 - 3132*a**4 + 148436426*a**3\/11 - 53939304*a**2 + 593194568*a\/11 = 0.\nAnswer: 0, 2, 8611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*k**5 + 119785*k**4 + 10681*k**2 - 2*k + 9 wrt k?\nAnswer: -120*k**2 + 2874840*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 17*s**2 + 7*s - 13. Let d(x) = 8*x**2 + 3*x - 6. Suppose -82*i + 156 = -94*i. Determine i*d(m) + 6*p(m).\nAnswer: -2*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-11 - (-7 - -3)) + 5 + (4 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 160 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 528, 1147, 1860, 2667?\n\"Answer: 47*u**2 + 478*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 17*u**4 - u**4 + 83966*u**2 - 83665*u**2 + (3 - 2 - 2)*(4*u**4 - 3*u**4 + u**4).\nAnswer: 14*u**4 + 301*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 89*b**2 + 24*b + 83. Is m(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 4*a**3 + 3*a - 7. Suppose 0 = 3*y + l - 19 + 7, y + 6 = 3*l. Does 30 divide i(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*d + 9*d + 40 = 0. What is the derivative of -21*o**4 + 0 + 5 + d*o**4 + 2 wrt o?\nAnswer: -44*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 191\/5472600 and -109\/18.\nAnswer: 16417800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11111100 + 1?\nAnswer: -11111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4482 = -118*a + 75876. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 15 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 67103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5)\/15)\/(88\/33)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t = -3*l - 1, -25*t + 29*t - 3*l - 17 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1102021 (base 4) in base 15?\nAnswer: 1857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -5.82, 2\/7, -1\/2.\nAnswer: -5.82, -1\/2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/(-2) - 0\/(-2). Let p be -19*(k - 0\/(-1)). What is the greatest common divisor of p and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (h**2 + 8*h - 8*h)*(5*h + 1 - 2 - 3*h).\nAnswer: 2*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2\/(-3))\/(12\/(-54)). Let v = -24\/4063 + 16324\/12189. Factor -16\/3*g**2 + 0 + 0*g - v*g**a.\nAnswer: -4*g**2*(g + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 + -6.5. Let z = 0.5 + x. Which is the closest to 2\/5? (a) 0 (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 17 (b) 3 (c) 0.24 (d) 122\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 38 = -23. Suppose 0 = t + 5*a - y, 5*t - 5*a - 135 = 30. What is the greatest common factor of t and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 6*l*o**3*v*z - 849*l*v*z + 5*o**3 + 727*o*v*z + 2*v*z wrt l.\nAnswer: 6*o**3*v*z - 849*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uucuuuuc. Give prob of picking 2 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -36, -1, 14 in decreasing order.\nAnswer: 14, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-206*a - 235 + 302*a - 93*a)*(0 - 3 + 1) to q*a + p and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 21\/592?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2954265419.29999943 - 2954265433. Let p = x - -13.7. What is p rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2969416000 rounded to the nearest 1000000?\nAnswer: 2969000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = y**3 + 10*y**2 - 28*y - 31. Determine z(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 0, 23, 1.\nAnswer: -4, 0, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*t - 2*d - 95, 4*t - t - 4*d - 57 = 0. Solve 11 = 2*b - r, 5*b + 2*r - 4 = t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1189081?\nAnswer: 109, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 20.9 + -21. What is the nearest to 0 in -3, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4*c**2*d**3 - c**2 - 66*c + 4*d**4 wrt d?\nAnswer: -12*c**2*d**2 + 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -11\/2433203 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 73873944 a multiple of 2862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 2*j + 4. Let l be n(4). Suppose 3*x = z - l, -4*x - 9 = -2*z + 15. Calculate the highest common factor of z and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z**2 - 7*z + 5. Let w be o(7). Suppose 7 = w*f - 43. Differentiate 0*a**4 - f - 6*a**4 + 13*a**4 with respect to a.\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 12696 divided by 6348\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 3*c + 1 - 0, 3*c + 5 = 2*u. Let a be 6 - 0\/(-1*3). Does 20 divide (a\/u)\/3*-53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = 3*n + u, 5*n - 3*u = -0*u - 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 140\/35*10\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 6 - 86 = 0. What is the remainder when f is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that x**3 + 92500*x**2 - 277509*x = 0.\nAnswer: -92503, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 728?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -3884 divided by 4\nAnswer: -971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -242534110 + 4?\nAnswer: -242534103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = 3 + 537. Suppose 0 = -3*z + 3*t + u, -4*z + t + 61 + 71 = 0. Calculate the remainder when 0\/(-1) + 2440\/40 is divided by z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the third derivative of c**2 + 1\/24*c**4 - 1\/3*c**3 - 49 + 0*c. Determine g(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d - 2*d = -12*q + 13*q - 7, 4*q - 38 = 13*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Convert -10675545 (base 8) to base 3.\nAnswer: -11101010210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -6\/11 (b) -3 (c) 9.235 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.366123 years to months.\nAnswer: 112.393476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 196*c - 347. Calculate the remainder when 409 is divided by w(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) be the second derivative of q**8\/336 - q**6\/120 - 3*q**2\/2 - q. Let c(y) be the first derivative of v(y). What is b in c(b) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 2, 3, 0.037, -572.88 in descending order.\nAnswer: 3, 2, 0.037, -1, -572.88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 352287770 - 352287770 - 35652*h**2 as s*h**2 + k + m*h and give s.\nAnswer: -35652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 24236404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 45969.6764 - 45983. What is b rounded to 1 decimal place?\nAnswer: -13.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 78*q + 606 - 60 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 17 by -73981.\nAnswer: -17\/73981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the first derivative of -2\/3*j**3 - 8*j**2 + 55 + 18*j. Factor l(w).\nAnswer: -2*(w - 1)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -634*n = -638*n - 5388. Let t = 2429 + n. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1548*m**3 + 1591*m**3 + 2016*m**4 - 3142*m**3 + (0*m**3 + m**3 + 0*m**3)*(4 + 1 - 2*m - 2) in the form g*m**3 + a*m**2 + s*m**4 + v*m + f and give s.\nAnswer: 2014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 312131321 + 12303?\nAnswer: 312210230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -1. Let s(d) = -2*d**3 + d + 7. What is 6*p(r) + s(r)?\nAnswer: -2*r**3 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 812800.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 132172 and 6685?\nAnswer: 4626020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from {i: 2, m: 5, x: 9}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 12439 + -12441. Let h = -19 - -19. Which is the closest to h? (a) -7 (b) o (c) 2\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 420*b**3 + 339*b**3 - 757*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2688.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -2052, 2, 0.\nAnswer: -2052, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -9 in -0.33074, 0.1, 5\/3, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (((2 + sqrt(605))*-3)**2 + 0)*-6 + -3.\nAnswer: -32888 - 2376*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -614, -24, 1 in decreasing order.\nAnswer: 1, -4, -24, -614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 51203644923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r**3 - 5*r**2 + 4*r. Let i(t) = 4*t**2 + t**3 + 3*t + 2*t - 9*t**2 - 1. Let k be i(4). Determine u(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 119041*k + 46579*k - 54444*k.\nAnswer: -126906*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 + -1.3. Let w = -1126 - -1125.5. Which is the fourth biggest value? (a) 2 (b) -6 (c) w (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-20)\/(-35)*(-28)\/6 + 2. What is the biggest value in 8, -17, p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*d, -62 = u - 2*d + 64. Let n = u + 297. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 3, -0.5, -0.63, -0.32?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -98*p - 203. Determine l(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (5 + -5*((sqrt(833) + -1*sqrt(833) + sqrt(833))*6 + sqrt(833) - sqrt(833) - sqrt(833)) + -4 + -1)**2 + 2.\nAnswer: 520624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 78604 is divided by 1062.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u = -68 - 72. Calculate the remainder when u is divided by (1170\/(-650))\/(3\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 5*n - 8 = 3, 5 = 5*n. Determine f so that 58*f**3 - 4 + 3*f + 4 - 55*f**3 - d*f**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -41 - -41.3. Sort 0, q, 1\/3.\nAnswer: 0, q, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*g**2 + 123092 - 123092.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2 + 36. Let f = j - 34.0000075. What is f rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the second derivative of c**7\/399 + 134*c**6\/95 + 40801*c**5\/190 + 13400*c**4\/19 + 40000*c**3\/57 + 20*c - 16. Suppose t(y) = 0. Calculate y.\nAnswer: -200, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the third derivative of -5*n**4\/24 + 57*n**3\/2 + 156*n**2. Let h be d(35). Put 77, 0, h in descending order.\nAnswer: 77, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -337*s - 2*h - 2 = -333*s, -2*s - 8 = -6*h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 66.27 + -66.17. Suppose 0 = -b + 3*b + 4*b. What is the closest to b in -4, 0.4, k, 1\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 2, b: 1, z: 2, e: 1}. Give prob of picking 2 z and 2 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-15)\/(-75))\/(((-25)\/5)\/(-5))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o - 5*o - 18*o**3 - o - 9*o**2 + o**3. Let w(g) = 17*g**3 + 8*g**2 + 6*g. Let k(l) = 6*j(l) + 5*w(l). What is the third derivative of k(c) wrt c?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5020 - -5045. Calculate the greatest common divisor of 10 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 41558886 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 64227, 127941, 191655, 255369, 319083?\n\"Answer: 63714*l + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 4*s + 3492, u - 5*s + 84 = 965. What are the prime factors of u?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 35*t**3 - 15*t**2 + 15*t + 15. Let s(g) = 5*g**3 - 2*g**2 + 2*g + 2. Suppose -22*u + 4*m = -25*u - 6, 3*u = m + 9. What is u*c(y) - 15*s(y)?\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 3, a: 8}. Give prob of sequence jaaj.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00038938 rounded to six dps?\nAnswer: 0.000389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 27258344 divided by 368356\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t - 5*q - 6832 = -6812, 3*t = -3*q - 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15808 divided by 19.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r be 7 - 5 - (-3 - 1). What is the third derivative of 5*p**6 + 12*p**r + 14*p**2 - 26*p**2 wrt p?\nAnswer: 2040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/2*(-1)\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -26792388 + 33945953403\/1267. Let n = 3\/181 + v. Sort -1\/6, n, 2, 4 in increasing order.\nAnswer: n, -1\/6, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 165 minutes after 12:32 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 10 = 5*n, 2*n - 4 = 4*n. Suppose -5*u - 133 + 178 = m. Solve 6 = 3*r + u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 61\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.05? (a) 0.2 (b) -5 (c) -0.8 (d) 5 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 1 + -1 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 5b2 - 3?\nAnswer: 5ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {b: 13, x: 6}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 16, -0.2, 41?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - l**4 + 4)*(5 + 11 - 2).\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -5, -139, -501, -1205, -2365, -4095, -6509?\n\"Answer: -19*t**3 - t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 9.556519 centuries?\nAnswer: 11467.8228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5067 - 5062. Solve -6*y - 3*z + 6 = -3*y, a*y = -4*z + 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 10153455 - -372?\nAnswer: 10154047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 91 - 152. Suppose -528 = 61*x - 83*x. Is x\/(-8) - (c - -1*2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23850572 is divided by 11925276?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ssk when three letters picked without replacement from {k: 3, c: 1, u: 3, m: 1, s: 8, h: 3}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/(-3)*36\/24. Let i(z) = 98*z**2 - 3*z - 4. What is the units digit of i(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - -3. Let a be (-2)\/(-6) + (-8)\/(-12). Let l be 6*1\/2*a. Solve l*f + t*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -4870, -9742, -14614, -19486, -24358, -29230?\n\"Answer: -4872*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = 4*g + 32 + 5, -11 = -3*g + 4*d. Put 18, g, 1 in decreasing order.\nAnswer: 18, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1 + 6)*(-3 + (-123)\/(-21)). What is the greatest common factor of t and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/1)\/((-15)\/3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -3, 2\/7, -15, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 168013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:41 PM and 7:38 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -85 + 64. Is -43\/2 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -64*z = 38*z + 306 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = 4*p. Suppose p = 2*a - 13 - 7. What is the least common multiple of (160\/(-60))\/((-2)\/3) and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -444067 divided by 63\nAnswer: -444067\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2123896223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:39 PM and 4:35 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 844.4789 seconds in nanoseconds?\nAnswer: 844478900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50*v - 98 - 102 = 0. Suppose -p + 10 = 4*p. What is the third derivative of 0*g**2 - 13*g**4 - g**p + 6*g**v + 0*g**2 wrt g?\nAnswer: -168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (15\/(-30))\/(14\/16 + -1). Suppose 3*j = t + 10, 4*j + o*t - 4 - 4 = 0. Solve 3*z + j = 0, 2*z + 5 = 4*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 39*v**2 + 904*v**2 - 1859*v**2 - 8090*v**2.\nAnswer: -9006*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 326372?\nAnswer: 2, 139, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -0*i + 8. Suppose -i*m + 21 = -m. Suppose 0 = -4*v + m + 21. Solve 5*r - 3*q = 4, -v = -r - 2*q - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-14))**(1\/7) assuming f is positive.\nAnswer: f**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = 11.2 + -1.2. Let x = m + -10.5. Suppose 2*j + 0*n = 2*n - 2, -2*n - 19 = 5*j. Which is the closest to 2? (a) j (b) x (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 188 + -1694\/9. Which is the nearest to 1? (a) -3 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -6 + 2 - (-1227)\/12*4.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*t**5 + 2*t**5 + 0*t**5 + 48*t**5 - 100*t**5 + 27*t**5 + (0*t - 4*t + 2*t)*(2*t**4 - 5*t**4 + 4*t**4).\nAnswer: -29*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000308 rounded to seven dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 27.18454 litres?\nAnswer: 27184.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3.9702 - -0.0298. Which is smaller: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3508877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 535 = -0*r + t, r - 3*t - 257 = 0. Suppose -r = -7*i + 35. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6*b**3 + 148018*b**2 + b - 2366618 wrt b?\nAnswer: -36*b + 296036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1308?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3 - (-4 + 0)) + 5 + -66. Let t = 74 + k. Is (-144)\/t*14\/(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -60 divided by 39\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*i - 6*i - 2*i + 9*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-5)\/4)\/((-3)\/(-108)). Let w be ((-3)\/2)\/(f\/150). Solve 3*x - w + 0 = r, -5 = -2*r + x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the first derivative of -n**3\/3 - n**2\/2 - 3*n + 10. Let z = -2 - -2. Give y(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 8 - 4 = -5*z, d + 5*z - 11 = 0. Let w(t) = -13*t + 1. Give w(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = -278*s + 279*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 0*y**2 - y**4 + 120 - 9*y + 738*y - 121 - y**2 as z + c*y**4 + o*y**2 + x*y**3 + i*y and give i.\nAnswer: 729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Simplify (m**17*m*m\/m**(-1\/6))\/(m**(-8))**(-1\/4) assuming m is positive.\nAnswer: m**(103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 588 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 7*g + 14. Let o(k) = -19*k - 33. Let u(b) = 3*o(b) + 8*r(b). Let x = -11 - -23. Let n = x + -6. What is u(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 95 - 184 - 48*j - 41*j**2 + 40*j**2 + 90 in the form h*j**2 + c*j + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 94*q - 5832581 + 5843579 for q.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = 5*i - 45, 8*f - 3*f - 4*i + 40 = 0. Let k = 22 + f. Calculate the remainder when k is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (((-5)\/174)\/5)\/(660\/(-528066)). Let g = 93\/20 - r. Is g at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/18 - 75\/(-27). Suppose 0 = 2*i + 2*i - 12. Suppose 5*q - 65 = -y*z, -5*q = z + i*z - 90. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**3 + 116*t**2 - 489*t - 1065. Determine n(-120).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1.5 + 6.5. Let w = -5.2 + 13.8. Let r = w - u. Round r to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 183 = 3*k - 70, -n + 47 = -3*k. What is the remainder when n is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2208571 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h - 2. Let b be x(0). Is (b + 1)*-1 + 14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -25*w**2 - 11*w**2 + 38*w**2 + 23 - 2*w**2 - w**2 + 0*w**2 + (2*w**2 - w**2 - 2*w**2)*(0 + 2 + 0) in the form i*w**2 + s + j*w and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h = 2*m - 5, -5*h + 4*m = -18 - 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(1*(-60)\/(-84)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -70 + 61 + c**2 - c - 3*c**2. Let p(a) = a**2 + 4. Let r(t) = -9*p(t) - 4*q(t). Let h(u) = -u. Calculate 4*h(y) + r(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10318 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 381672 divided by -4712\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ulul. Give prob of sequence uulu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be 14\/(-4)*(-8)\/14. Let l = -471 - -316. Let k = l - -167. What is the nearest to 0.2 in k, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2646 = 37*h - 9*h - 53*h - 122*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m + 21 = -20*o + 18*o, 2*o - 5*m = 29 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bic when three letters picked without replacement from bcwziwwwbiiizbiw.\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -3273194, -3273192, -3273190, -3273188, -3273186?\n\"Answer: 2*c - 3273196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17972538.\nAnswer: 2, 3, 43, 69661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -2598 at least -2598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 56\/15489 and 91\/12585?\nAnswer: 64976355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*-5*(sqrt(108)*2 + 1*sqrt(3) + 2).\nAnswer: 30 + 195*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 49, -578, 3, -2\/13, 145 in descending order.\nAnswer: 145, 49, 3, -2\/13, -0.5, -578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qns when three letters picked without replacement from {f: 1, i: 1, s: 1, q: 2, n: 1, u: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**2 - 12*s + 13. Let q be w(11). Suppose -47*x = 2*x - 196. Suppose q*z - x*l + 6*l = 8, 4*z = l + 11. Solve -5*p + z + 12 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 305958?\nAnswer: 2, 3, 50993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 1908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -6*z**2 - 4*z. Let d be q(-4). What is d rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -989 times -497933\nAnswer: 492455737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 511 + 153 + 353 = 113*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16985 is divided by 144?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 0*q = -4*g - 428, -3*g = 4*q - 393. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 51540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 335036?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3355d + -3?\nAnswer: -33562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 91051 is divided by 206?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = h + 5*c - 10, 8734*h = 8731*h + 49*c - 162 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 56062, 112109, 168130, 224125, 280094, 336037?\nAnswer: 391954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -27*c**3 + 1421160*c**2 - 18700570716*c - 8311645488.\nAnswer: -3*(c - 26318)**2*(9*c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 182179 - 182178. Let c = 13 - 18. What is the closest to a in 5, c, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2 + 8)\/(2\/1). Suppose -3*v + 33 = -p*i, 5*v - 3*i - 43 = v. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 22736531 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -345795, -345778, -345763, -345750, -345739, -345730?\n\"Answer: -k**2 + 20*k - 345814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2513928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**3 - u - 23. Give w(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 6, s: 6}. What is prob of picking 3 a?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/11 (b) -5 (c) 0.2 (d) -0.2 (e) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/3, 3\/7, 0.04?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 4*b**3 - b. Let p(q) = -q**3 - q. Let k(v) = f(v) - 5*p(v). What is the second derivative of k(a) wrt a?\nAnswer: 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 706682 + 0?\nAnswer: 706682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -276450\/511 - -541. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 3*s - 5. Let q be d(-6). Suppose -h - 4 = -2*v, 4 = 2*v + 2*h - 12. Let n be v\/(-14) - q\/7. Solve -5*u + 29 = -p, -p + 7 = p + n*u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 145819 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in 0.4, -0.04, -0.09, 0.03, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -15 (b) 3 (c) 2 (d) 9307\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-6512)\/(-70707) - (-6)\/(-117)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (1494\/2241)\/((-175)\/30 - -1)?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 90313, 90338, 90399, 90514, 90701, 90978, 91363?\n\"Answer: 3*s**3 + 4*s + 90306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3020 - -9292. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-12)\/54)\/1)\/(3\/3)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-700)\/49 + 14)*21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 496 and 3734632.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 44 - 23. Let f = l - -24. Suppose 4*w + w = f. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*a**4 - 8*a**4 - 15*a**4)*(24*a - 28*a + 43*a + 2*a + a + 0*a + (a + 2*a - 5*a)*(-2 + 1 - 1)).\nAnswer: -736*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = -702 - -710. Let h(p) = 5*p + 1. Let v be h(2). Suppose -4*a = -13 - v. What is the lowest common multiple of a and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 2 z when three letters picked without replacement from {u: 3, g: 1, z: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence stqt when four letters picked without replacement from {s: 9, q: 4, t: 2, v: 1}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1405049917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-8)\/4)\/(0 - -2). Let w = 2 - y. Suppose 13 = w*i - 5. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 908059856 and -3287.\nAnswer: 908056569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by -4108728.\nAnswer: -1\/1027182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 520?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/((-1)\/2) + -3. Is (-1 + z)\/3 + 21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 193791383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5124 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = p + 8. Let q be w(-6). Suppose -2*o = -10 - 0, 3*o - 23 = -q*t. Suppose 15 = -n + t*n. Solve -2*v - 2*z + 15 = -z, 0 = 4*v - 5*z + n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*i + 3*z + 6, 2*i + i + z = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 6722*i + 1357. What is the hundreds digit of o(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -31.6503 - -31.7. Let s = 0.057 - t. Round s to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.0453 - 210.9547. Let f = t + 214. Put f, -0.09, 15 in descending order.\nAnswer: 15, f, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1*-2235.148.\nAnswer: 223.5148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*c**2 + 338*c - 1 + 5 - 348*c + 2.\nAnswer: 7*c**2 - 10*c + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-11*15\/(-495))\/((-50)\/(-3150)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 16759365 and 26814984.\nAnswer: 134074920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1*(-5 + 0))\/(-32 + (-7 - -38)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.047717627 to five dps.\nAnswer: -0.04772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 71 - 67. Suppose -2*u = 2*v, -i*u + 7*u = 0. Solve 0*c - c - 4*w = v, 0 = w - 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 947178 divided by 521?\nAnswer: 1818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {t: 1, y: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*z - 2*q - 12, z + 4*z - 2*q = -6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 63 = -3*n, 3*n = -5*k - 2*n - 115. Let x be (-20)\/11 - (-4)\/k. Let i = x - -7. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -375, -374, -373?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the second derivative of -10*s**4 + 19*s. Let z(b) = 2*b**2. Let m(o) = j(o) + 50*z(o). Let c(n) = -4*n. Calculate m(c(v)).\nAnswer: -320*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a be (15\/6)\/5 + 1\/(-3). Let q(u) = -u**3 + 3*u**2 + 6*u - 3. Let v be q(4). Sort 0, a, v in descending order.\nAnswer: v, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 267665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = -32147\/19 - -1692. Sort 1\/2, -1.2, z in decreasing order.\nAnswer: 1\/2, z, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*p - 3*v + 12, 3*p + 1080*v - 1085*v = -44 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 2 greater than 5\/264956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 5657008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g**2 - 9*g - 2. Calculate b(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -610\/47 greater than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-424)\/(-39 + 47) + 15.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:11 PM and 12:18 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 27 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**3 - 6*v**2 + 3*v + 6. Let h be f(5). Let d = -5 - h. Which is smaller: d or 1\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 14364 = 3*n - z, -4788 = -n - 2*z. Is n\/15 + (-8)\/40 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b + 4. Let v be f(-5). Let y = -1.09 + -0.91. Let i = 4 + y. What is the nearest to 2\/5 in v, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -45840268, -91680532, -137520796?\nAnswer: -183361060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -301 + 181. What is d rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-5)*(7250\/(-300))\/(-145)*-9\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 13203 - 4614?\nAnswer: 8589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 1 z, and 1 q when three letters picked without replacement from {z: 1, q: 1, r: 1, e: 9, i: 8}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 9*v**2 - 8*v**2 - v - 16 - 4*v. Let s be k(8). What is the third derivative of 9*y**6 + 21*y**6 + 30*y**2 - s*y**6 wrt y?\nAnswer: 2640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 395 divided by -46\nAnswer: -395\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange x**2 - 12*x + 12*x + 54*x**2 to the form a*x + u + l*x**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 49083, -1, 545.\nAnswer: -1, 5, 545, 49083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = x - 5. Let b be s(5). Suppose 3*n - 3 - 3 = 0. Let v be (b\/(0 + 3))\/n. Solve -2 = 2*m - v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -49354442651071 and -4?\nAnswer: 49354442651067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 240 minutes after 5:20 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -102*k**3 - 43962*k**2 - 20*k - 8637. Determine n(-431).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3604972939.\nAnswer: 3604972939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1293\/5 - -270. Let u be ((-9777)\/21 - (-6)\/21) + -3. Let y = 35680\/77 + u. Calculate the common denominator of i and y.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -22 + 26. Suppose -3 + 11 = 2*t + j*c, 0 = 2*t + 3*c - 9. Which is smaller: t or 7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3437?\nAnswer: 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -33 + (-26 + (-24 - -49) - -13).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - (-9 + 5 + 5 + -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v\/(v\/v**3)))**(-5\/3)\/(v**(2\/5))**(-5\/11) assuming v is positive.\nAnswer: v**(116\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 18916039633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -22324, -22325, -22326, -22327, -22328?\nAnswer: -22329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -2*w - 19. Let l be i(5). Let o = -193 - l. Let j = o + 380. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1948255 is divided by 2771.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s + 7 = -4*k + 30, 2*k = 2*s + 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 88681.6 microseconds to seconds.\nAnswer: 0.0886816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -353*z**2 - 6*z**3 + 16 + 353*z**2 + 2*z**3 wrt z?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 225273876?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in 0.1, -358, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 + 10 = -s - 3*k, 0 = k - 3. Let m = s - 5. Suppose -3*g + 9 = -m. What is the smallest common multiple of 14 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r = -12, 0 = -s - 4*r - 22 + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -11.18 - -12.18. Put 5, k, 2 in descending order.\nAnswer: 5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 - -3. Let d = -14 - -14. Solve -i*q = d, -4*u - q = -13 + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20501 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:01 AM and 8:47 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 2b2657 (base 14) to base 4\nAnswer: 11233123011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -x**4 + 0*x**4 + 0*x**4 + (-x**3 + 3*x**3 - x**3)*(-4*x + 4*x - x) - 92 + 6*x**4 + 92 + 48*x - 48*x - 3*x**4 + (-x + 4*x - 4*x)*(4*x - x**3 - 4*x).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tewt when four letters picked without replacement from tpupwttppet?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*y - 11 = 66. Let s(q) = 7*q - 37. Let g be s(y). Suppose 30 = 6*a - g. What is the remainder when 11 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*i**4\/15 + 142*i**3\/15 - 134*i**2\/5 - 9118*i\/15 + 1876\/3 = 0. What is i?\nAnswer: -7, 1, 10, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1165136 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = z - 2*z + 4. Suppose -z*h - 2*i - 3 + 15 = 0, -4*i = -h - 15. Suppose -h = -4*r + 139. What is the greatest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5 - -12. Suppose -3*q + 5*p = v, -5*p + 17 = -5*q - 2*p. Let t = 7\/78 - -1\/13. Which is the third smallest value? (a) t (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1565670, -3131334, -4696996, -6262656, -7828314, -9393970, -10959624?\n\"Answer: l**2 - 1565667*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 782*v**3 + 136*v**2 + 136*v + 2890. Let d(c) = 29*c**3 + 5*c**2 + 5*c + 107. Let n(w) = 136*d(w) - 5*t(w). Find the first derivative of n(h) wrt h.\nAnswer: 102*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -1*-4*(-5)\/20. Put g, 0.08, 3, 0 in descending order.\nAnswer: 3, 0.08, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - (8 + -26 + -8).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Sort -31938, -0.3, 0.38, -3\/4 in increasing order.\nAnswer: -31938, -3\/4, -0.3, 0.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3\/5, 4.6, 1\/158, 3?\nAnswer: 1\/158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1146, -1385, -1624, -1863, -2102, -2341?\n\"Answer: -239*j - 907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -53\/1906320 and -197\/219960.\nAnswer: 5718960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3307433 - -5028305. Let c = v - 1720906.00026. Let x = c + 34. What is x rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = q**3 - 5*q**2 - 3*q - 12. Calculate d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 5*v - 5. Let a(y) = -2*y. What is p(a(l))?\nAnswer: -10*l - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 22929068 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001068198 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -16\/3 and -37\/1289748.\nAnswer: 1289748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 290, 557, 824, 1091, 1358?\nAnswer: 1625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 8737*i - 8742*i + 30 = 8*r, 0 = -i + r - 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) be the first derivative of 5*h**4\/4 + 2*h**3\/3 - h**2 - h + 3829. Determine v(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 3, p: 5, x: 2, k: 2}. What is prob of picking 2 p and 2 k?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -312056.192 - -312219.191027. Let m = 163 - w. What is m rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*u - z + 25 = 5*u, -5*z + 74 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9551?\nAnswer: 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -15, -0.5, 37\/8, -3, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 899447513?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 14 + 6. Let p = 23 - i. Suppose -3*c = -6*j + j - 1417, 0 = p*c + 3*j - 1449. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -11*z - 11. Let a(m) be the second derivative of 2*m**3\/3 + 2*m**2 + 36*m. What is -8*a(s) - 3*i(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3\/18 + (-350)\/(-60). Let i be (2 + -4)\/2 + u. Solve 12 = j + 3*j - i*f, -4*f = 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s = 3*z - 37122, 5*z = -s + 46213 + 15591. Does 45 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -n**3 - n**2 + n + 6. Let w be b(0). Let x(o) be the third derivative of -1\/10*o**5 + 6*o**2 - 5*o - 1\/24*o**4 + 1\/120*o**6 + 0*o**3 + 0. Give x(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -o - 35410058 + 35410058.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of 5354555 and 0.5.\nAnswer: 2677277.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 0.0113, 0.2 in ascending order.\nAnswer: 0.0113, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (a**2 + a**2 - a**2)*(29*a - 29*a - 22*a**2) + (-3 - 3 + 5)*(58*a**2 - 6*a**4 - 58*a**2).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1344002 - 3424?\nAnswer: -1402431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 165 - 114. Let h = -2 - -5. Suppose 0 = -2*q + 5*z + 9, q + h*z = 2*z + 22. Calculate the greatest common factor of q and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 4 = 4. Let r be (5 + -2)\/(18\/30). Solve -2*i**3 - 6*i**3 + 6*i**3 + r + 2*i + 2*i**q - 6*i**2 - 1 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 3 = -d + 20, -5*d + 5 = 5*i. Suppose d = -a - 0. Let j(z) = z**2 + 6*z - 7. Give j(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -94365*l + 47351*l + 47290*l.\nAnswer: 276*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -203 by -1.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -24 + 22 - (8 - -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-1)\/((-2)\/12410)*(6 - -15 - 20).\nAnswer: 5, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20 - ((-695 - -658) + 1 + 133).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-2\/5)*s\/s**(-6)*((s**3\/s*s)\/s)\/s*s*(s**2\/s)\/s assuming s is positive.\nAnswer: s**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -5675664, -11351340, -17027016, -22702692, -28378368, -34054044?\n\"Answer: -5675676*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v**3 + 613*v**2 - 374563. Calculate y(612).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-434 + 934 - 468)*(436 - 436 - 9*y) - 2*y + 2 + 3*y - 3 to the form d*y + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - f = -12, -4*k - 7 - 5 = -5*f. Suppose 4*u - k*y = 16, 5*u - y - 18 = 2*y. Let l = 294.5 + -294. Which is the smallest value? (a) l (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 70 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**2 + 5*u + 5. Let n = -124 - -119. Let t(y) = -2*y**2 + 8*y + 8. Calculate n*t(s) + 8*x(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 22 and 10677?\nAnswer: 234894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) -0.1 (b) 3 (c) 1 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11796 is divided by 803.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -77.96 and 0?\nAnswer: 77.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/1*4\/(-2). Factor -3*v**4 + 0*v**2 + 4*v**2 - 2 + v**f.\nAnswer: -2*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (7 - (1 + 1))*(-54)\/(-30). Suppose 0*q - b = -3*q. Solve 0 = 2*l + u + 3*u - 6, 4*l - u - q = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 151\/120 and 19\/18690?\nAnswer: 74760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21294.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -94*y + 1. Let z(m) = -1727089*m - 37*m**2 + 1727089*m. What is z(x(b))?\nAnswer: -326932*b**2 + 6956*b - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + 3*sqrt(405) - (3 + (sqrt(5) - sqrt(245)*5)).\nAnswer: -4 + 61*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 371488 and 22178.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, 0.72, 71 in decreasing order.\nAnswer: 71, 13, 0.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) be the third derivative of -l**7\/2520 - l**5\/40 + l**4\/4 - l**2. Let z(i) be the second derivative of v(i). Differentiate z(w) with respect to w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -589928.99982 + 589919. Let x = 10 + u. Round x to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8763979.6 rounded to the nearest one thousand?\nAnswer: -8764000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5608, 44831, 151300, 358639, 700472?\nAnswer: 1210423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7722, 7753, 7784, 7815, 7846, 7877?\nAnswer: 7908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 5*t**3 + 53*t**2 + 51*t - 61. Let c(n) = -2*n**3 - 18*n**2 - 17*n + 20. Let d(r) = -8*c(r) - 3*p(r). What is d(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4092 - -6076. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 2329, 2326, 2335, 2362, 2413, 2494, 2611?\n\"Answer: l**3 - 10*l + 2338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -9*k**2 - 6*k + 2. Let b = -127959 - -127964. Let g(v) = -2 + 4*v - 4*v + 5*v + 8*v**2. Determine b*g(r) + 4*y(r).\nAnswer: 4*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(4\/23)\/q**39*(q**19*q)\/((q\/((q\/(q*q**(-41)))\/q))\/q))**(-1\/11) assuming q is positive.\nAnswer: q**(-487\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = 2*k - 54. Suppose 30 + 18 = 8*x. What is the greatest common divisor of x and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (28\/(-48))\/1*2\/(-7)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15 + -72.7.\nAnswer: -87.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out -726595 * 0.2.\nAnswer: -145319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -113242, -452817, -1018724, -1810963, -2829534?\n\"Answer: -113166*o**2 - 77*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.8 - 0.8. What is the second biggest value in 3, t, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2.54? (a) -1679 (b) -3 (c) -68 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 20 - 15. Suppose 0 = -2*j - 4*m, 2 = -j - p*m - 1. Suppose j*c + 7*c = 9. Solve -c + 5 = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 357651313.\nAnswer: 541, 661093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12280\/17192)\/(2\/(-154))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -10? (a) -3 (b) 7 (c) -25 (d) 87 (e) 3\/5 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*o - 19*o = 20*o + 20*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (3 - 3)\/(104\/(143\/11)). Solve -4*y + t*y + 26 = 5*b, 0 = -4*y + 2*b + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 523545789 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 31693 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -221 + 139 - (-128 - -3)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 7537*p**4 + 664*p**2 + 14*p + 9. Let z(n) = 1884*n**4 + 166*n**2 + 3*n + 2. Let d(b) = -3*r(b) + 13*z(b). Find the third derivative of d(t) wrt t.\nAnswer: 45144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -w**2 - 19*w + 79. Let k be d(-21). What is the highest common divisor of 481 and k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 332280550 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 10, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 85 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4836 - ((4 - -1) + -11). Suppose -51*t = -45*t - p. List the prime factors of t.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-9 - -8) + 2)*(42 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -330, -798, -1304, -1848?\n\"Answer: -19*x**2 - 411*x + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 36 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -25\/2 - -12. What is the third smallest value in j, -2\/5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -194 + 205. Suppose 5*z = -5*d + 85, 4*z = 3*d - d - 22. Suppose 13*u + 2 = d*u. Calculate the highest common divisor of g and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gq when two letters picked without replacement from {v: 1, e: 3, u: 1, g: 2, q: 1, d: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1390 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -24 + (0 - -3) - (82 - (-63 - -131))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = 27*a - 6*a - 2350. Suppose -55 = 6*w - 307. What is the remainder when a is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 271375564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 1765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 477273\/19 or 25119?\nAnswer: 25119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/8*2\/(-29))\/((-1)\/(-24)*-4)\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -c**3 - 23*c**2\/2 - 24*c - 27\/2.\nAnswer: -(c + 1)*(c + 9)*(2*c + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -188, -379, -580, -797, -1036, -1303, -1604?\nAnswer: -1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 3, i: 4, u: 10, j: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1018026*t**3 - 1018026*t**3 - 2907*t**4)*(-3 + 2 + 2) to z*t**3 + x*t**2 + y + g*t + p*t**4 and give p.\nAnswer: -2907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -359 + 363. Suppose -92 = -z*h - 48. Calculate the remainder when 21 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 100 = -4*v - 24, 0 = -2*v + 2*m + 36. Suppose -4*f = -5*f + v. What is the least common multiple of 8 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 168 + 33. Suppose -194 - i = -u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 497347153 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 7, h: 5, j: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -5*f**2 - 2*f + 6686. Let p(x) = 12*x**2 + 4*x - 13373. Give 7*c(a) + 3*p(a).\nAnswer: a**2 - 2*a + 6683","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((h*h**(3\/2))\/h)\/h**(-12))**(13\/2))**(-2\/3) assuming h is positive.\nAnswer: h**(-117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*v - 4*v + v)*(-5*v + 0*v + 3*v) - 4*v**2 - 5*v**2 + v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -39*a**2 - 5*a - 7. Let r(n) = -19*n**2 - 2*n - 3. Calculate -10*r(u) + 4*y(u).\nAnswer: 34*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -7 - 7 - 2*g + 2 - 4*g**2 + 11. Let d(t) = t + 18. Let r be d(-14). Let h(s) = 5*s**2 + 3*s + 1. What is r*a(m) + 3*h(m)?\nAnswer: -m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4\/18 + (-1770)\/(-54). Let s = u + -16. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 63 divide 4073222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 386585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 86\/9 - 620\/63. Which is the closest to 2\/3? (a) -1\/4 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4804*r + 4811*r - 70. Let s = -5 - -2. What is the remainder when ((-2)\/(-4))\/(s\/(-198)) is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 59083776 - 0.3?\nAnswer: 59083775.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-4*o + 4*o + 2*o**4)*(-o + 2*o + o) + 119*o**3 - 119*o**3 - 3*o**5)*(0 - 4 - 3).\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1938893 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 2*f - 6*f + 9*f + 5*f. What is the least common multiple of u(2) and 3168\/660 - 8\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*m + 5*k = 33*m - 26670, 4*m - k = 21348. What is the highest common factor of m and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 2, p: 7, r: 4}. Give prob of sequence pnp.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(121) - (sqrt(121) - (sqrt(121) - (sqrt(121)*-2 - sqrt(121))*3)))\/(sqrt(176)*-4))**2.\nAnswer: 275\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -630*o = 2*c - 628*o - 12, -12 = -3*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 + 1 = 7*j. Suppose -2*a + 6*a + 3*p - 1495 = 0, 0 = 2*a - j*p - 758. Calculate the highest common factor of a and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1574\/35 + 227\/5. Let t(a) = -3*a - 7. Let g be t(-5). Let d = g - 10. Sort o, d, -14.\nAnswer: -14, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/((m**6\/m)\/m))**(3\/28) assuming m is positive.\nAnswer: m**(-9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 243*v**3 + 486*v**2 + 486*v + 486. Let x(y) = -y**3 - y**2 - y - 1. Determine l(f) + 486*x(f).\nAnswer: -243*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the third derivative of 7*z**6\/120 + z**3\/6 - 21*z**2. What is the first derivative of n(r) wrt r?\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h**5\/13 - 30*h**4\/13 + 10046*h**3\/13 + 322830*h**2\/13 - 30204*h - 1995840\/13 = 0.\nAnswer: -48, -45, -2, 3, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5590 = 16*c - 11*c. Let a = c + -5652\/5. What is the common denominator of a and 11\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uwbpuududwppb. Give prob of sequence uwdu.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7990 - 7965. Let i(v) be the second derivative of f*v + 0*v**2 - 1\/12*v**4 + 0 + 0*v**3. Let d(b) = -19*b**2. Calculate d(i(s)).\nAnswer: -19*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the second derivative of 7*c**4\/6 - 11*c**3\/6 - c**2 - c. Let j be (2 - -10)\/(-4) - 1 - 1. Let h(p) = -9*p**2 + 7*p + 1. What is j*f(a) - 8*h(a)?\nAnswer: 2*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -11330200 (base 4) in base 2?\nAnswer: -101111100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ddddsddsd. What is prob of sequence dss?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w**3 + 90*w**2 - 88*w = 0.\nAnswer: 0, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**3 + 2*s**2 + 4*s - 4. Suppose 0 = 2*v - l - 5, 0*v + l + 5 = v. Suppose -3*b + 9 = -v*b. What is y(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -48\/7? (a) 6 (b) 0.5 (c) 3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 149717951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -593*x + 2. Let h(l) = 198*l + 1. Determine -2*g(s) - 7*h(s).\nAnswer: -200*s - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:39 PM and 3:35 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3458*a = 2526*a - 38212 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from {r: 1, d: 1, k: 1, v: 3, s: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 548.1597 months?\nAnswer: 4.5679975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w + 4*t - 46, -t + 79 = 3*w - 0*w. Suppose 5*k - w = -17. Let f(i) = k*i - 2*i + 13*i**3 - 6*i**3 + 1 - 2*i**2. What is f(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q**2 + 9*q - 15. Determine c(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q**3 - 7*q**2 + 5*q + 8. Let g be v(-8). Let s = 34 - g. Suppose 2 = -s*i + 6. Which is the nearest to i? (a) -2\/7 (b) 2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in y**2 - 16*y**2 - 6*y**2.\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = k**3 + 126*k**2 - 476*k - 179. Calculate g(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1008) + -4)*2*1 + -2.\nAnswer: -10 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 21*s + 25. Let y(w) = w - 1. Let k(l) = -c(l) + 2*y(l). Let n be k(-8). Calculate the highest common factor of 25 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -194*d + 102 + 26 + 648. Solve -3*v - g + 247 = 252, -d*v = 5*g + 14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.35 - 0.05. Let q = 0 + -0.1. Let z = 1.9 - q. What is the closest to -2\/3 in h, z, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 389 - 386 = -b + c, 0 = 3*b + 4*c + 13 - 11 - 21 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, 2, -2.53?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1616686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1 - -1) + (-2)\/(-2). Let p be (49\/2)\/(f\/(-2)). Let c = -31 - p. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 769.306 centimeters in nanometers?\nAnswer: 7693060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/5 (b) 0 (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p = 26*p - 7*p + 20*p. Suppose -1\/3*d**3 + p*d**2 + d + 2\/3 = 0. What is d?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*s - 25 - 6 + 50)*(0*s + 3*s - 2*s).\nAnswer: -3*s**2 + 19*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 128443902 to the power of 1\/4, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 0 + 0)*(0*n**2 + 2*n**2 + n**2).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 64, -23, -5 in increasing order.\nAnswer: -23, -5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 4*z = -2 - 1, -2*z = 5*c - 21. Suppose 699 - 69 = 2*b - r, c*r = -6. Is b*(1 + 0) - (3 - 6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 f when two letters picked without replacement from {f: 3, m: 4, y: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -5*z**3 - z**2 + z + 1. Calculate t(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2.73 - 0.07. Let r = 3 + g. What is r rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/(-5)*(45\/50)\/9.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/(-2) + -1 + 2. Let k(s) = s**3 - s + 24. Let h be k(u). Let r = h + -1. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -3*s + 2*s - 3 + 0 + 5. Let z be l(12). Is 19 a factor of ((-152)\/z)\/((-8)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 106.2807313 rounded to two dps?\nAnswer: 106.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/62291 (b) 38\/13 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 766a9 + 2e6?\nAnswer: 769a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -266*j**3 + 16 - 255*j**3 + 520*j**3.\nAnswer: -j**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.2709 (b) 2\/23 (c) 0.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o + 4*m + 1916 + 406, -3*o - m + 3448 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 25561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 102 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -638537, -1277077, -1915617, -2554157?\nAnswer: -3192697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.05730425 and 0.189.\nAnswer: 0.13169575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 95561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let 49*t**4\/6 + 273*t**3 + 13213*t**2\/6 - 1326*t + 578\/3 = 0. Calculate t.\nAnswer: -17, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 5 = 3*l, f - 2*l - 8 = 12. Suppose 2*a + 12 = -4*r, -5*a - f = -2*a + 5*r. Let d = a + 1. Solve d*n - y + 0*y = -9, 2*n - 4*y + 6 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5520 - -5523. Factor -2\/5 + 0*d**2 - 9\/5*d**o + 7\/5*d.\nAnswer: -(d + 1)*(3*d - 2)*(3*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 15325 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -4 (base 14) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 2062, 3766, 5470, 7174, 8878, 10582?\n\"Answer: 1704*d + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 110 divide 143253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (-62 + 76 + 55 + 78)*(-4*t + 2*t + 3*t) in the form k + f*t and give f.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -34111, -4, 2.7 in increasing order.\nAnswer: -34111, -4, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be 610\/(2\/5 - 3\/(-5)). Let g = a - 430. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 59*j - 9. Let q(t) = -231*t + 41. Let y(p) = 9*d(p) + 2*q(p). Let a(h) = -9*h. Calculate y(a(v)).\nAnswer: -621*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -44\/5 and 127\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -119*z**2 - 70*z - 21. Let b(f) = -12*f**2 - 7*f - 2. Let n be (28\/6)\/7*-3. Let y(l) = n*i(l) + 21*b(l). Find the second derivative of y(c) wrt c.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i + i - 2*i)*(-3*i - i + 2*i)*(4907*i - 9013*i + 5795*i).\nAnswer: 10134*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 19756 + 3071 = -50*a. Does 71 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -19.7 - -41.7. Let s = l - 22.4. Which is the third biggest value? (a) s (b) 2 (c) -0.14 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:01 PM and 2:39 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -3 + 4. Let k(t) = 11*t**3 + 7*t - 2. Let f(b) = -b**3 + 1. Let d(p) = v*k(p) + 2*f(p). Find the second derivative of d(n) wrt n.\nAnswer: 54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 823 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*a - 5*a - 33*a)*(1 - a - 1)*(15 - 11 - 17) to the form y*a**2 + g*a + z and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 141961 is divided by 1352.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4610068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i = -y + 13, -22*y + 21*y - 2*i + 5 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**3 + 6*x**2 - 5*x + 3. Let a be r(5). Suppose -22 = 5*n + a. Let f = -2 - -5. What is the closest to f in 3, 5, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 82063709 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h = -3*w + 28, -w - 6 + 22 = 3*h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -37366261*u**3 + 303577305*u wrt u?\nAnswer: -224197566*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 330716 and 26622?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-one sixths of a decade in months?\nAnswer: 820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1218)\/224*-10)\/(20\/16).\nAnswer: 87\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + f + 812939 = 0, 3*z + 515781 - 1735196 = -5*f. What is z rounded to the nearest 10000?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 1 + 4 = 0. Let d be t\/(-1 - 18\/(-15)). Let q = d + -8. Let y(h) = 7*h - 1. Let w(s) = -15*s + 2. What is q*y(u) - 6*w(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y**2. Let l(n) = 20*n + 3. Determine l(c(g)).\nAnswer: 20*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 584 a factor of 1122664664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -5*u + 28. Let t(m) = -3*m + 19. Let d(w) = -5*o(w) + 7*t(w). Let l be d(5). What is the highest common divisor of 117 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 8*i**3 + 20*i**2 + 14*i - 79. Is r(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -139\/360 and -59\/36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -59055, -118225, -177367, -236481, -295567, -354625, -413655?\n\"Answer: 14*z**2 - 59212*z + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lknlkseakkkl. Give prob of sequence lll.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 60736 is divided by 27242.\nAnswer: 6252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23099 is divided by 1646?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 71.86158ng?\nAnswer: 0.00000000000007186158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 111*k**3 - 3 + 212*k**3 + 4*k**2 - k - 4*k**2 + 4 as y*k + i*k**3 + z*k**2 + u and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the third derivative of c**5\/60 + 5*c**4\/24 + c**3 - c**2 + c - 92. Let w(b) = -b**3 + 5*b**2 - 4*b - 5. Let s be w(4). Let i = s + 1. What is l(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -o**2 + 9*o + 6. Let t be y(9). Let p(z) = z**3 - 5*z**2 - 5*z - 4. Let u be p(t). Is -1 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + (3 - (2 + -2)) - (-99 + 91).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3, 0, -0.3, 39.75823?\nAnswer: 39.75823","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8491 + -8481.258. Let w = f + -10. Round w to 2 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 90.8 - 88.8. Let t(k) = -13*k - 1. Let i be t(6). Let v = i - -551\/7. What is the closest to v in c, 3, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -166? (a) 0.14 (b) 0.3 (c) 2\/207\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 1+0.659946\nAnswer: 1.659946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04 + 325197635012?\nAnswer: 325197635011.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 369 = -3*s + 114, 4*s = -3*a + 357. What is the remainder when 368 is divided by a?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the first derivative of -1\/2*m**2 + 1\/4*m**4 - 5\/3*m**3 - 2 - 4*m. Does 13 divide d(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 100\/1*(9072\/224 - 41)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000145863768 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 8*f**2 - 2*f + 1. Let w be a(1). Suppose 2*t = -3 + 9. Let j = t + w. What is the remainder when 29 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.4719 - -0.2719. Which is the nearest to -1? (a) -0.1 (b) 1 (c) -3\/16 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 70744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-26*h**2 + 26*h**2 - 10*h**3)*(0*h + 4*h - 2*h) + (-2*h**3 + 6*h**3 - 2*h**3)*(-36*h - 34*h + 20*h).\nAnswer: -120*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2550 - -2547. What is the third smallest value in 3, f, -534?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z**2 + 4*z + 21. Give w(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.223 - -0.523. Which is the fourth biggest value? (a) z (b) 5 (c) -2\/17 (d) -2.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = -3*n - 1, -4*a + 3*n - 7*n = 0. What is the greatest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -23474 or -23471?\nAnswer: -23471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31 divided by 1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the third derivative of 0 - 25\/3*l**3 - 81*l**2 + 0*l - 3\/4*l**4. Differentiate c(m) with respect to m.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 602 - 557. Suppose j*s - 90861 = -29661. What are the prime factors of s?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 58314*w = 64819*w - 969245 for w.\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q - q = -154. Solve -f = 5*a - 6, -3*f - q = -6*a + a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -35014 divided by 77\nAnswer: -5002\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 321 is divided by 166?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -5096763, -5096650, -5096535, -5096418, -5096299?\n\"Answer: y**2 + 110*y - 5096874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -2*i**3 + 6*i**2 + 17. Give r(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5, -2\/9, -1\/11, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:20 PM and 2:15 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 137\/102090 and 45\/151558.\nAnswer: 93208170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 75468?\nAnswer: 2, 3, 19, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the first derivative of 10703*d**3\/3 - 5333. Let i(p) = -2*p**2. What is f(i(t))?\nAnswer: 42812*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*m - 343 = 49*m. Suppose -m*r - 5 = -54*r. Let b = 0 + -3. Sort b, -5, r, 2.\nAnswer: -5, b, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-23*m + m - 23*m)*(2*m**3 - m**3 - 2*m**3) to x*m**4 + k + a*m + b*m**3 + y*m**2 and give x.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 - 32 = 2*g + 4*y, 6*g + y + 2 = -210 for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let 0 - 49\/4*h**4 + 2*h + h**2 - 19\/2*h**3 - 15\/4*h**5 = 0. What is h?\nAnswer: -2, -1, -2\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -0.027, 44, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3 (b) -2 (c) 1\/3 (d) -23 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m + 2*m - 24. Let j = 16 - 13. Solve 5*d = 2*g + 2*g + m, 13 = j*g + d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**1\/(s*s**2*s))**19)**(-5\/4) assuming s is positive.\nAnswer: s**(285\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -3*f - 6*u + u, -2*f - 2*u = -6. Solve 0 = f*g - 9 - 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = -4*j + 4*r, 4*j - 2*r + 23 = -7*r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((-3*(sqrt(1792) + 0)*1)**2 + 4).\nAnswer: -64528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3 - 3. Suppose 0*x + x - 24 = 2*r, z = -x - 5*r + 3. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 times 6.5?\nAnswer: 32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five quarters of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w**2 + 7*w - 6. Let z be n(-8). Suppose -z*l + 5*b + 112 = 0, -2*l - 3*b + 20 = -124. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -530 * -0.1.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-375)\/3500)\/((-18)\/154*32\/(-48)).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r**3 + 18*r**2 + 11*r - 18. What is the units digit of k(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 5*s + 12 = 0. Suppose 0*k = -s*k. Let q(b) = 2*b + 5. Let h be q(-5). Sort k, h, -3.\nAnswer: h, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*m + 5*z, -98 = 5*z - 88 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -241*i - 77. Is q(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 770 * 0.4.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from {l: 6, c: 3, o: 1, x: 1, m: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1572630196 to the power of 1\/4, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that -2*t**5\/17 - 482*t**4\/17 + 1468*t**3\/17 + 56*t**2 - 5840*t\/17 + 3904\/17 = 0.\nAnswer: -244, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8 and 78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 465 - 105333?\nAnswer: -104646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 15424 + -33086. Let x = m - -37028. Suppose 5*j - x = 1134. Round j to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4613, -18438, -41479, -73736, -115209, -165898, -225803?\nAnswer: -294924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*l + 28*j - 32*j - 40, 2*l - 25 = 3*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 4*g - 13. Let o = -0.1 - 0.4. Put g, o, 1\/3 in increasing order.\nAnswer: o, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s*s**(8\/3)))**25)**(18\/11) assuming s is positive.\nAnswer: s**(-1200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 510497*f. Let s(n) = -2*n. What is c(s(h))?\nAnswer: -1020994*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 289*m + 752 = 304*m - 448. Calculate the remainder when m is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -206b4 - -5?\nAnswer: -206ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i be 375\/(-10)*4\/3. Let h = i + 72. Solve 3*g + 2*g + 30 = -5*q, -5*g - 3*q = h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:09 AM and 5:07 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -3*b. Let i(f) = -53*f + 54*f + 71*f. Give i(t(w)).\nAnswer: -216*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.499 + -0.519. Let k = f - 0.18. Put 0.2, 4, k in ascending order.\nAnswer: k, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6277919\/4602 - -8185\/6. Let j = t + -18388\/3835. What is the common denominator of 48\/5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z**3 - 9*z**2 - 11*z + 14. Let x be l(10). Suppose 4*d = x*s + d - 40, -20 = -5*d. Suppose s = p - 27. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 513 - 945. Let k = x + 692. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 297540 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7 and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sum -4072.0399 and 215.\nAnswer: -3857.0399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 25236857 to the power of 1\/2, to the nearest integer?\nAnswer: 5024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a + 4*d + 29 = 7, 4*a + d + 11 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -2*m**3 + m**2 + m + 11. List the prime factors of v(-3).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert b9b (base 12) to base 11.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 65553086 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 121, 1154, 2247, 3430, 4733, 6186, 7819, 9662?\nAnswer: 11745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9195 and 100837887.\nAnswer: 1839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 688 minutes before 3:17 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 3*l**2 + 15*l + 13. Calculate the remainder when 3558 is divided by j(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -11, -1, -4, 16, 0 in descending order.\nAnswer: 16, 0, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-496)\/(-6))\/8)\/((100\/60)\/(-5)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8289980 and 2742?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-16*o**3 + 2*o**3 - 11*o**3)*(4*o - o - o + (5 - 3 + 0)*(4*o - 11 + 11)).\nAnswer: -250*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -4*x**2 - 49*x - 129. What is the least common multiple of p(-7) and 1242?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -7447334 (base 11) to base 5\nAnswer: -11324112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 + -52390c?\nAnswer: -52390a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1347948496 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000405 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4*9\/(-360)*5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-271171)\/(-9325) - (-6)\/(-75)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f - 4*f + 6. Suppose -j = -f*j. Let u be 1\/(3 + j + 1). Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 43611922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**2 + 22*x + 8. Let i be d(22). Solve 0 = r - 0*c - 4*c - i, 4*c = -5*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:11 AM and 3:55 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (39\/(-65))\/(5*3\/15).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 182*i - 1823. Calculate d(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 275 a factor of 514525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 480 is divided by 49.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/4 in -1, -1\/225, -1\/6014, 2?\nAnswer: -1\/6014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 3*n**2 + 0*n**2 + 0*n**2 - 6*n**2. Let y(a) = 2*a + 3. Let k(h) = -6*h - 8. Let g = 18 + -26. Let m(x) = g*y(x) - 3*k(x). Calculate m(z(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -240*q - 2978. Calculate b(-12).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 28 = -4*y, -2*m + 0 = -3*y - 18. Let g = 5 - m. Suppose -4\/7*d + 0*d**g - 2\/7*d**4 + 4\/7*d**3 + 2\/7 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 80 = 2*c. Let m = -4290 - -4320. Let t be m\/25 - (-12)\/c. Put t, 1\/4, -1 in decreasing order.\nAnswer: t, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from ppaapaapppppppppppp.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve h - 5*u - 3 = 0, 113*h + 3*u - 3 = 116*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*g + 517752 = 101*g. Does 52 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 45 divide 42462591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.12 and -41.\nAnswer: -4.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8063 + 177415\/22. Calculate the common denominator of 2 + (-107)\/8 + 2 and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1131, -1130, -1129?\nAnswer: -1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -223 less than -2461\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Subtract 436260 from 171.9.\nAnswer: -436088.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the third derivative of 2627*g**7\/105 - g**5\/20 - 1885*g**4\/24 - 1480*g**2. What is the third derivative of d(y) wrt y?\nAnswer: 126096*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -17 - -24. Is 16956\/14 - (t + 240\/(-35)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -589*u**3 - 148304*u - 41726880 wrt u.\nAnswer: -1767*u**2 - 148304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -m**2 + 2*m + 3. Let q(r) = r. Let b(p) = 4*p - 3. Let u(i) = b(i) - 5*q(i). Let f(o) = -4*t(o) - 5*u(o). Is f(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 19, 5, -1, 20, -30.\nAnswer: -30, -4, -1, 5, 19, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 563 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v**5\/5 + 102*v**4\/5 - 1338*v**3\/5 + 1668*v**2 - 24003*v\/5 + 23814\/5 = 0 for v.\nAnswer: 2, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1518 - -1703. What is the remainder when u is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 185954 is divided by 88.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the third derivative of -h**8\/6720 - h**5\/15 - 9*h**2. Let n(f) be the third derivative of i(f). Let r(l) = 12*l**2. Determine r(n(b)).\nAnswer: 108*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 25*v - 9. What is z(4)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 45630 is divided by 287.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k - 123 + 121 = 5*l, 0 = -4*k - l + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 73\/5392 and -1\/143028866?\nAnswer: 1144230928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 7, s: 5}. What is prob of sequence ns?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 105*h - 5. Let z(l) = -l. Calculate d(a) + 6*z(a).\nAnswer: 99*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2069*y**3 - 3614*y**5 - 3252 - 407 + 3613*y**5 + 395 + 2*y**2 wrt y.\nAnswer: -60*y**2 - 12414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 2) + 56\/48?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 + -10101111101001010?\nAnswer: -10101111101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 19 + 3*d - 125 - 90 - 96 + 26 as s + b*d and give s.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = -17084.65 - -17085. What is the nearest to 1 in 2, t, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4114*y + 60 = -4094*y. Solve -5 = 5*c - 10*u + 8*u, 3*c + 3*u = -y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3786570252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 3852 less than or equal to 34678\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*a**2\/3 - 88550*a\/3 - 392055125\/3.\nAnswer: -5*(a + 8855)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 13*x**3 - 442*x**2 - 1544*x. Let f(m) = -2*m**3 + m**2 - m. Let p(w) = -a(w) - 6*f(w). What is the second derivative of p(g) wrt g?\nAnswer: -6*g + 872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 5304 = -4*f - 0*b, 6660 = 5*f + b. Suppose -648 = -c + s, -2*c - 5*s = -0*s - f. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2202315 and 129765.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**3 + 8*r**2 + 21*r - 104. Let i be a(9). Solve 21 = 2*l - 3*v, -i*l - 5 = 3*v - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -14 (base 6) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1709984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (107\/(-214))\/((2\/80)\/(12\/15)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5600.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 199746 and 122478?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 7228.113 years in decades?\nAnswer: 722.8113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 131202223 + 120?\nAnswer: 131203003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, m: 2, x: 2, z: 1, v: 1, n: 1}. What is prob of sequence mn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-9)\/(-18)*(2 - 4). Let u = -0.1 + 0.4. What is the second biggest value in q, u, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.4, 2, 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the first derivative of -5*x**6\/36 + 7*x**5\/6 - 55*x**4\/24 - 35*x**3\/18 + 5*x**2 + 1130. Suppose p(c) = 0. Calculate c.\nAnswer: -1, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 60+-1505\nAnswer: -1445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 621 by -207.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -49, -31, 4\/7, 1, 3, 4 in decreasing order.\nAnswer: 4, 3, 1, 4\/7, -31, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.3 - -0.3. Let a = 1 - l. Does 2\/7 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 - -13c?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j. Suppose -64 = -8*g + 8. Let u(i) = 0 - g*i - 7*i - 17*i + 0. What is u(x(h))?\nAnswer: -33*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 56744 divided by -4.\nAnswer: -14186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -9\/5, -3, 0.008, 2, -7, 1 in ascending order.\nAnswer: -7, -3, -9\/5, 0.008, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*z = -28*z - 162. What is the remainder when z is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -119 in 78, 1\/11, -4.203?\nAnswer: -4.203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - m - 67 = 2*m, -5*m = -3*b + 64. Suppose -3*k = -4 + b. Let l = k - -14. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -8*u**2 + u + 1. Let k(c) = -c**2. Let g(z) = j(z) - 3*k(z). Let o be g(2). Calculate the remainder when 57 is divided by 3*(-6)\/9 - o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, -8, -0.15, 0.3, -0.3 in increasing order.\nAnswer: -8, -0.3, -0.15, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(sqrt(13) + 1) - (sqrt(78)*2 + sqrt(78))\/sqrt(6)) + (-3 + sqrt(208) - (sqrt(13) + -2 + -5)))**2.\nAnswer: -8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -s**3 + 11*s**2 + 12*s. Let p be i(12). Let n(k) = k**2 - k - 3. What is n(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2 - 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -8296490*z - 1. Let w(o) = 8*o**2. Give x(w(g)).\nAnswer: -66371920*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the third derivative of n**6\/120 - n**5\/5 + 13*n**4\/24 - 8*n**3\/3 - 38*n**2. Calculate the lowest common multiple of 90 and b(11).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 271 - 257. Calculate the remainder when 250 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 334*d + 2. Let m(v) = -333*v - 1. Give 5*j(a) + 6*m(a).\nAnswer: -328*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzmmkmkzmmmkk?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -1 equal to 10\/119661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2 - -1)*(-4 + 2). Suppose g*i - 3 = 1. Suppose i*j + 10 = 0, -5*w - 5*j + 203 + 312 = 0. Calculate the greatest common divisor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01072841 to 4 decimal places.\nAnswer: 0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f**2 + 41*f + 231. Give d(43).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -2 + 0*u + 7*u - 1 - 3*u. Calculate the remainder when 115 is divided by t(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 405, 8, 1, -4, -19 in descending order.\nAnswer: 405, 8, 1, 0, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/8 + 3090801\/4. Let t(o) = 33685*o**2 + 8*o - 8. Let v be t(6). Let u = n - v. What is u rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**2 + 10*s + 59. What is r(13)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -57*s**3 + 115*s**3 - 15*s**2 - 59*s**3.\nAnswer: -s**3 - 15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 34\/(-5)*(-4546)\/772820\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be 18\/(-8) - (-18)\/(-24). Let s = y - 2. Let j(w) = w**2 - 4*w. Let t be j(3). Which is smaller: s or t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -7*t + 572 - 287 - 286 - t**2. Suppose 4*i - 4*c + c = -27, 0 = -5*i + 2*c - 32. Determine j(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -142848 + 115624 = 2*c - 357906. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**3 + 4*w**2 - 6*w + 1. Suppose 0 = 2*s + s - 141. Let r = -11 + s. Let f be 8\/r + 94\/(-18). Determine u(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i*i**(6\/17)*i*i\/i**(1\/3))\/(i**(-2\/5))**(-3\/10) assuming i is positive.\nAnswer: i**(4972\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -2*o**3 - 4*o**2. Let x(s) = -3*s**2 + 6 - 15 - 2*s**3 + 9. Determine -3*q(d) + 4*x(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -5 (b) 12 (c) 168 (d) 0.1 (e) -0.5 (f) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p + 8 = 4*p + 2*j, -5*p - 4*j + 28 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 214*a - 2493813 = -862897. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q + 26. Let p be i(-23). Let x(c) = -8*c**3 - 4*c**2 - 5*c + 2. Let t(a) = 8*a**3 + 5*a**2 + 6*a - 3. Let z(l) = p*t(l) + 4*x(l). Calculate z(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 296 - 299 = -3*x. Is 18088\/12 - x*(-1)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10152, 19208, 28266, 37326, 46388?\nAnswer: 55452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*r - 3*a + 168, 188 = 3*r - 2*a - 0*a. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -40*v + 1683 + 277. What is the second derivative of -v*w**3 + 56*w - 142*w**3 + 57*w**3 + 146*w wrt w?\nAnswer: -804*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -348954892 divided by -39182?\nAnswer: 8906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 274545107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5603, 5647, 5691, 5735, 5779, 5823?\nAnswer: 5867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 207*a**3 + 134*a**3 - 47*a**3 + 109*a**3 - 55*a**3 + 281*a**3.\nAnswer: 629*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 57741 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = 8531 - 8511. Solve 2*g + j*g = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zua when three letters picked without replacement from azuej?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -459*g**3 + 18*g**2 + 11. Let y be d(-3). What is the highest common factor of y and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 485 and 68191?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**2 - 7*f + 2. Let n(h) = -3*h + 3. Let g be n(3). Let w be q(g). Solve -2*x + 6*x + w = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 327 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + (-8 - (-5 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -19807\/186 <= -107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h - 4189 = -4144 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -n**3 + 6*n**2 - 4*n - 2. Let g be s(5). Suppose 0 = -5*o + g*o. Suppose -3*y + 130 - 10 = o. What is the greatest common divisor of y and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 2, e: 1, y: 1, n: 4}. Give prob of sequence ynn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 2 = -14. Let n(m) = 2*m**2 - 3*m - 2. Calculate n(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*i + 5*i + 3*i + i - 429 - 7*i + 426.\nAnswer: 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -929609 (base 10) in base 7?\nAnswer: -10621142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 3, -225, -40, -5.\nAnswer: -225, -40, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 26*z + 1. What are the prime factors of v(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that n**3\/4 - 27655*n**2\/4 + 13364687*n\/4 - 13337033\/4 = 0.\nAnswer: 1, 491, 27163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i = -4*l + 723 - 711, -l = 4*i - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 740, 0 in descending order.\nAnswer: 740, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 14077673 or 9.1?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from sstddtdmsthmmsc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 382 - 314 = 0. Let b = r - -274. Suppose 3*y - 210 = 2*y. What is the highest common factor of y and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + 53 - (2852 - 2784).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a**2 + 82644*a + 201606840 = 0. What is a?\nAnswer: -17835, -2826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 230570898 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(7344) - -4*sqrt(7344))\/(sqrt(33)\/(-3*sqrt(11))) - (1 + 1*sqrt(425) + sqrt(34)\/sqrt(2)*2 + 2).\nAnswer: -187*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 5, z: 3, w: 3}. Give prob of picking 3 z.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w**3 - 6*w**2 + 2. Let a be p(-6). Find the second derivative of 3*x + 2*x**a + x + 2*x**2 wrt x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11\/(-308)*7\/(-2)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 38008273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 5412 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2)\/7*21\/(-3). Suppose -k - 20 = -5*z, -4*k + 4*z = -a*k + 10. Suppose k*r = r. Is -1 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 141 - -2191?\nAnswer: 2312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 13 times -1172\nAnswer: -15236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-15)\/25*-5*112\/(-7). Let m = p - -659. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(120)\/sqrt(160) + sqrt(48)\/(sqrt(16)\/sqrt(4)))\/(5*(sqrt(54) + sqrt(54)*2)*6).\nAnswer: -1 + sqrt(2)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7.7 + -8. Let g = 165.4 - 165. What is the third smallest value in h, 0.5, g, -2\/15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) be the first derivative of 8*g + 1 - 7\/2*g**2 + 1\/3*g**3. What are the prime factors of r(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52669075800 rounded to the nearest 1000000?\nAnswer: 52669000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 61381729 by 25.\nAnswer: 61381729\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 50 minutes after 2:09 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2177?\nAnswer: 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -30b158 (base 12) in base 15?\nAnswer: -101d2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 72214*t**4 - 1256*t - 2 wrt t.\nAnswer: 866568*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/(b**(22\/7)\/b))\/(b**15*b))**(2\/9) assuming b is positive.\nAnswer: b**(-80\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(2\/35)\/r**(-21) assuming r is positive.\nAnswer: r**(737\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -7, -62.4, -0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -ee - e?\nAnswer: -10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-2)\/(-4))\/(6\/96). Let o be 2*(-3)\/(5 - 2). Let x be (o\/(-4))\/((-2)\/(-48)). What is the highest common factor of x and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 4*i - 5 - 8*i**2 + 3*i**2 + 5. Let p(a) be the second derivative of a**4\/12 - a**3\/6 + 7*a. What is n(j) + 4*p(j)?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that 15256*v**2\/3 - 5086*v + 2\/3 = 0.\nAnswer: 1\/7628, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p**2 + 25*p - 39. Let y be z(19). What is the greatest common divisor of 50 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 3 + 7*i + 22*i**2 + 0 - 2. Suppose -6*f - 5 = -35. Is d(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -122 (base 3) in base 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3\/(-2)*(-384944)\/5880. Which is smaller: z or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 4*x**3 + 4*x**3 + x + 12 - 9*x**2 - 4*x**3 - 5*x**3. Let y be b(-9). Let s(h) = 2*h**2 + 71 - 80 + h**y - 3*h + 4*h**2. Determine s(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-2\/17)*w**2)**(-18) assuming w is positive.\nAnswer: w**(-576\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 12 minutes before 6:23 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is (-24)\/(-9)*(1 - (-26)\/4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-2\/13))**(-2\/199)*((n\/(n\/(n\/n**(-3\/17))))\/n)**(-14))**41 assuming n is positive.\nAnswer: n**(-4452026\/43979)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - d - 5*p = 35, d = 5*p + 5. Calculate the remainder when d is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9, -32, -93, -210, -401, -684, -1077?\nAnswer: -1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = 8 + 72. Suppose 4*f - g = 0, 0*f - 2*f - 8 = -2*w. What is the remainder when 76*((-5)\/(-2) - 2) is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2028654331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r**3 + 15*r**2 - 9*r - 7. Determine w(14).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*f**2 - 2608*f - 15792.\nAnswer: 4*(f - 658)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 802 - -2.827384367?\nAnswer: 804.827384367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -113*p + 113*p + 4*p**2 - 9.\nAnswer: 4*p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 224268 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 2 i when three letters picked without replacement from {o: 2, i: 2, m: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5.16 - 4.969. Is n less than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/(-20))\/((11070\/240)\/(-41))\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u + 147 + 88 = 7*p - 442, 3*p + 42*u - 225 = 27*u for p.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 954 divide 207679032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6.2*-0.2.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -243.902384 rounded to one decimal place?\nAnswer: -243.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 47\/80 + -3\/16. Which is bigger: b or -42?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r - 3*y - 116, 22 = -2*r + 2*y + 266. What is the remainder when r is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*m**2 + 0*m**2 + 78*m - 74*m - 3*m**2 to the form f + w*m**2 + g*m and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -0.32 times -0.6\nAnswer: 0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -52*k**2 - 39*k - 76. Let t be v(-2). What is the closest to 0.1 in -3, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 270 minutes after 4:21 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x - 3*x + 6*x + (-1 + 3 - 1)*(-3*x + 0*x + 2*x) - x + 0 + 0)*(0*x**3 + 3*x**3 - 2*x**3).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 152692 and 6?\nAnswer: 458076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 618.785 meters?\nAnswer: 618785000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**3 - 15*w**2 - 6*w - 204. Let c be x(16). Put 1, c, -4, 4 in ascending order.\nAnswer: c, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*l + 69*l = -5*y + 39*l - 253, 4*l - 286 = 6*y for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5 - -5. Solve 5*k + i = 10*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**3 + z**2 - 6*z - 8. Suppose 14*w = 7*w + 21. Let n be i(w). Solve n*g = 12*g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w**4\/5 + 524*w**3\/5 + 1284*w**2 - 907868*w\/5 - 1847336 = 0. What is w?\nAnswer: -79, -10, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = -294082979.09999921 - -294082995. Let o = -131 - -146.9. Let l = o - m. Round l to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 4, r: 1, d: 4, t: 1, z: 1}. Give prob of sequence uud.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 29*t + 2. What is the units digit of u(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the second derivative of j**5\/20 - j**4\/12 - j. Suppose 2*q - z = 3*q + 5, -q - 5*z - 17 = 0. Let f(n) = n**3 - 3*n**2 - 1. What is q*l(v) + f(v)?\nAnswer: -v**3 - v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10011001 + 100100001?\nAnswer: 110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -116468, -232491, -348514?\n\"Answer: -116023*y - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 40649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -7*g + 9. Let p be u(2). Sort 2, -7, p, 5 in decreasing order.\nAnswer: 5, 2, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*q - 68*q + 46 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -3*k - 18. Let f(o) = -o - 6. Let j(y) = -8*f(y) + 3*i(y). Let v be j(-5). Is v + 5\/((-10)\/(-52)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 5, u: 4, j: 10}. Give prob of picking 3 u.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4 + -1. What is the fourth biggest value in 1\/7, -2\/5, b, -0.12?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5 + 9. Suppose 9*f = z*f + 10. Let w = -88 + 91. Sort -3, w, f in decreasing order.\nAnswer: w, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -241*f + 6 - 6 + 240*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 95 - 4*t + t - 5*t + 11 - 106.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1904.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -n**3 - 176*n**2 + 555*n + 3222 = 0.\nAnswer: -179, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 320 divided by 64\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1423 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 526642175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be 10\/1 + (16 - 12). Let v = m + -11. Let w be (-20000)\/(v\/660 - 0). What is w rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 59496743 to the nearest integer?\nAnswer: 7713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, k: 1, l: 1, t: 4, d: 2}. Give prob of sequence tv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -93 + -1 - (-166 - -153)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1184 a factor of 13225085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 9*h**3*t**3 + 33*h**3*t + 2*h**2*t - 12*h**2 - 399*h*t**2 + h wrt t.\nAnswer: 54*h**3*t - 798*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2238.4 + -2247.01. What is the third smallest value in 0, o, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 4657282 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (i - 5*i + 0*i - 4*i + i + 2*i + (-5 + 5 - 2)*(4 - 2*i - 4))*((1 + 5 - 3)*(-1 - 1 + 3) - 3 + 1 + 0) to the form b + a*i and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = -21 - -29. Suppose 4*t - 5*t + 4*a = 8, -3*t - a + 28 = 0. What is the greatest common divisor of t and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 3*l**2 - 250*l - 438. Give v(85).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -l**3 - 8*l**2 - 9*l - 9. Determine y(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1744962 is divided by 996?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -322*r + 326*r - 0 + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:36 PM and 1:36 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 18326339\/288 + -63633. What is the common denominator of (-1070)\/(-24)*((-112)\/(-35))\/(-16) and d?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 5*s = -8. Suppose 2*t = -0*x - 2*x + 24, s*t + 22 = x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-10)\/20)\/(6 + -2 - (-15123)\/(-3780)). Calculate the greatest common factor of g and 1330.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 2 (b) 0.046 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -12c00d (base 15) to base 12\nAnswer: -3755aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 15644 or 15643?\nAnswer: 15644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(3\/5)\/c**3 assuming c is positive.\nAnswer: c**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 703.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-7)\/4 + (-2)\/8. Let q be (1 - (-15)\/(-6))*22. Let n be r*(6\/q)\/(-2). Sort 6, -0.4, n in ascending order.\nAnswer: -0.4, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 565863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = v**3 + 14*v**2 + 13*v - 10. Let i be m(-13). Let j = 30 + i. Solve 3*t - j = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 51 - 33. Find the common denominator of (-34)\/(-20)*5\/(-6) and s\/(-28)*(-154)\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -154907\/16 - -9686. Let l = 733\/18 + -5279\/144. Calculate the common denominator of l and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -25 + 45. Suppose -u - 45 = -5*i. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 190*h**3 - 205*h**2 wrt h?\nAnswer: 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = 4*r - 16 + 328, 3*r + 1274 = 4*z. Does 53 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -809193 + 1148516. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -2*t**3 - 1. Let u be p(1). Let w be 172\/u + (-6)\/9. Let n = -26 - w. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-a - 1 + 1)*(5 + 4*a - 6 - 2*a).\nAnswer: -2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-54)\/45*315\/42.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/24)\/((-6)\/(-6*4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 60\/(-12)*-1*2\/8*(13 + 47)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -9\/4 (b) -0.4 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2, -18, -52, -106, -186?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*o = -1574 - 11376. What is the greatest common divisor of 170 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -97, -94, -87, -76, -61, -42?\n\"Answer: 2*x**2 - 3*x - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 92*z - 83*z = -54 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -5*-10878399\nAnswer: 54391995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 379600 divided by -1040?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) be the second derivative of 14*t**6\/5 + 43*t**2\/2 + t - 2. Find the first derivative of z(h) wrt h.\nAnswer: 336*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 827*m**2 - 139*m**2 - 337*m**2 - 137*m**2 - m + 4769 wrt m?\nAnswer: 428*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -415 + 282. Let c = 23 - 31. Is (z\/(-4))\/((-2)\/c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -8*x**2 - 27*x - 9. Let h(j) = j**2 + 3*j + 1. Let u(a) = -18*h(a) - 2*w(a). Let f(d) = -24*d**2. What is f(u(n))?\nAnswer: -96*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(171)*-2*3 - sqrt(171))\/sqrt(9).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be (6\/(-15))\/(2\/10). What is the units digit of (-17 - -19)\/(l\/(-240))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -v - 2. Give g(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 44832 divided by 13?\nAnswer: 44832\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 936 and 31968?\nAnswer: 415584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 24734 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 44601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 433.7283 millilitres in litres?\nAnswer: 0.4337283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*r + 10*r + 11*r + 21*r - 57*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 3*z + 27. What is q(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 44.4 + -44. Which is the second biggest value? (a) t (b) 0.2 (c) -2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.004 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.5 in 0.85, 3, 1, -0.3?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 1. Let s(n) be the second derivative of -4*n**3\/3 + 11*n**2\/2 - 2*n. Let c(f) = 22*a(f) - 2*s(f). Let q(d) = 2*d. Calculate c(q(g)).\nAnswer: 32*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -2\/5, 0.5, 0.82, -56\/13, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0.32 * -5.3605\nAnswer: -1.71536","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Let s = 16 - 14. Suppose s*l = 3*l + 10. Which is the closest to l? (a) -2\/17 (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = s - 3. Let r(i) = -8*i + 6. Give r(a) + 3*v(a).\nAnswer: -5*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 = -2*h + 32. Suppose 5*y + h = y - i, -2*y = -5*i + 1. What is the lowest common multiple of 64\/(-2)*4\/y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1503.6 - 336523?\nAnswer: -335019.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) -2 (c) -19\/3978\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 4*k - 4. Let b be z(3). Let i be (-4 + 4)\/(-2) - (4 - 6). Find r, given that b + 1 - 2*r**i + 0*r**2 + 2*r - 5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-2))\/(((-12)\/(-18))\/((-24)\/(-9)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4722.7 - -4724. What is the second biggest value in 0, f, -0.123?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:20 AM and 10:52 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -10.8796 + 10.9. What is w rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 5*z**2 - 3. Let i(p) = 24*p**2 - 14. Let h(c) = -13*c**2 - 2*c + 1. Let t be h(1). Determine t*l(m) + 3*i(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-4)\/28)\/((-3)\/(-9)). Which is the biggest value? (a) -2 (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 8*w**2 + 28*w + 9. Let g(o) = o**3 + 24*o**2 - 4. Let r be g(-24). What is the remainder when j(r) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 0.1, -1\/2, 0.3 in descending order.\nAnswer: 0.3, 0.1, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-8 + -3)\/(10 + -11)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 26, 159, 518, 1217, 2370, 4091, 6494?\n\"Answer: 19*i**3 - i**2 + 3*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = 4*a - 24, 4*v - a = 3*a - 16. Is (-972)\/(-10) + v\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) be the first derivative of 0*q - 8\/27*q**3 + 4\/9*q**2 + 1\/18*q**4 - 3. Suppose j(a) = 0. Calculate a.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -34 + 49. Let g be -4*9\/2*(-155)\/p. Suppose g - 1082 = -7*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -83814 + -6?\nAnswer: -8381a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 5\/14 (b) -1.3 (c) 1\/4 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 19 = 14. Let v = y - -7. Calculate the common denominator of -33\/20 and (-1678)\/252 + v\/14.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the second derivative of -3*s**5\/2 - 11*s**4\/12 + s**3\/2 - s**2\/2 + s + 1. Is j(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12 - 64 + 5 + 47 + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -7651792 divided by 124\nAnswer: -61708","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: What comes next: 18, 20, 12, -6?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -13 + 25. Suppose 0*a + a = f. Calculate the remainder when 35 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p**2*p)**12*(p*p**(2\/7))**(2\/63))**(-36) assuming p is positive.\nAnswer: p**(-84744\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 4*o**2 - 7*o + 3. Let v(p) = -16*p**2 + 29*p - 12. Let i(r) = 9*q(r) + 2*v(r). Let j be i(3). Solve 0 = -4*c - 4*h + 5*h - j, 4*c + h + 16 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes after 6:22 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -282*j**3 + 182*j**2 + 8*j + 8. Let b(h) = -h - 1. Let a(f) = 8*b(f) + x(f). What is the third derivative of a(n) wrt n?\nAnswer: -1692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49377017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = 13.6 + -12.32. Let s = 0.14 - d. Let g = s - 0.86. What is the second biggest value in -0.2, g, 10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 638735 and -18.\nAnswer: -11497230","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Is 413537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4cde8 (base 15) in base 4?\nAnswer: 330011333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**2 - 12*s - 6. Suppose a - x + 10 = 0, 4*a + 2*x + 2*x = -48. Let y be c(a). Let u = 8 + -13. Put u, -1, y in decreasing order.\nAnswer: y, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n\/n**(-17)*n)**(-1\/18) assuming n is positive.\nAnswer: n**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**3 - 8*p**2 - 7*p + 5. Let h be l(-7). Let t = 34 + 21. What is the highest common divisor of t and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 59\/5 of a century?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4 - -5. Let h be 1 - (-1 - g - -2). Is h*(-44)\/(1 - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3603043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-45)\/(-90))\/(1\/(-12)*(-2769)\/284).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47*w - 42*w = -15, -3*w - 33 = 3*u. Let m = 0.035 + -0.035. What is the biggest value in -1, 1, m, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - (-19 - 1) - (536 - 547)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be 7 + -3 + 7\/7. Let i = 2 - 1. Which is the closest to i? (a) -2 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (7 - 3) + (54 - 54) - (-18 + -1)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-253)\/5060*(-5)\/(-10)*-15.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/20 + (-9)\/(-5). Suppose -b = 7*j - g*j - 261, -5*b - 5*j + 1365 = 0. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2690 and 61601.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*c - 3*p + 5*p + 181 = -0*p, -18*p - 82 = -4*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 106587366 to the nearest integer?\nAnswer: 10324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2021302030 + 1231?\nAnswer: 2021303321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2139681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -5*b**3 - 16*b**2 + 64*b. Let g(m) = 2*m**3. Let l(s) = 6*g(s) + 2*n(s). Find o, given that l(o) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wssswwjwwjwwmwswwmm. What is prob of sequence sjwj?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 5*l**2 + 2*l - 2. Let r be z(-2). Suppose 4*s - 3*g = r, 12 = 3*s - g - 2*g. Suppose 27 = s*m + p, m + 21 = 2*m - 2*p. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 225 + -83. Suppose 136*t = m*t - 18. Solve -5*y = 18 - t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 3*i**2. Suppose -2*t = 5*y - 5 - 3, 0 = 3*t + 4*y - 5. Let r(f) = 1. Let k(n) = 14*n - 40 + 115 - 47. Let c(o) = t*k(o) + 28*r(o). Determine c(m(g)).\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*j - 8703 + 8685 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1895575 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 63212201, -1\/8 in decreasing order.\nAnswer: 63212201, 5, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -99037*x + 45061840. What is m(455)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/9 or 2572\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(288) - (sqrt(288) + -2 + (sqrt(288) - 1*sqrt(288)))) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -3183.7 times 5757?\nAnswer: -18328560.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**2 - 5*w - 2. Let a be u(5). Let d be ((-4)\/a - -45) + -4. Suppose -5*j + d = -4*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*b + 18*b + 17 = 3*v, -3*b + 5*v - 9 = 0. Solve z + k = -5, b*z - 4*z + 3*k = -15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 - 6 = -5*y. Suppose -y*j + 150 + 854 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h + 90 = 5*f, 144*f - 141*f - 95*h + 430 = 0 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 - 1. Let b be (8\/(-16))\/(s\/(-2)). Sort b, 1, 3 in decreasing order.\nAnswer: 3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -1 - (10 - (-592)\/(-56))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 22695, 22583, 22377, 22065, 21635?\nAnswer: 21075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:03 AM and 7:51 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be 12\/((-2)\/(-4)*4). Let w be 1 - (z + 3 + -6). Suppose 10 = 4*t + 5*n - 7, t + 4*n = 18. Is w >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is x in 45\/4*x**2 + 0*x + 0 + 3\/2*x**4 - 33\/4*x**3 = 0?\nAnswer: 0, 5\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 111 (base 3) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence owwn when four letters picked without replacement from {o: 1, n: 1, h: 1, w: 4, l: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*((-90)\/(-50)*-5 - -33)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes after 11:35 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1211, 1135, 1055, 971, 883, 791, 695?\n\"Answer: -2*l**2 - 70*l + 1283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -75? (a) -583 (b) -0.5 (c) -0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.6, -66, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -4531 (base 6) to base 9.\nAnswer: -1411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 485 minutes before 5:09 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c - q + 2, -5*c - 2*q + 6 = -0*q. Is 2 a factor of 1 - (0 + -3) - c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -254 - -258. Suppose 5*j - 13 + 55 = a, -w*a - j = -84. What is the nearest to 10 in 2, 1, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:29 AM and 8:21 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*i - 2*i - 2*i)*(-2 - 1 + 5) + (5 + 5*i - 3*i - 4)*((-2 - 3 + 3)*(4 + 1 - 3) + 1 + 1 - 4).\nAnswer: -10*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor b**3 + 22*b**2\/5 - 3*b.\nAnswer: b*(b + 5)*(5*b - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**3\/7 - 1618*j**2\/7 + 34798*j\/7 - 133790\/7.\nAnswer: 2*(j - 787)*(j - 17)*(j - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -72*z**2 + 3*z + 2. Let c be n(-2). Let w be 1\/(c\/72 - -4). Let p = -10 - w. Calculate the remainder when 21 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 12517 (b) 0 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 7\/1101882 and 77\/1152.\nAnswer: 211561344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 83872 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the third derivative of -x**5\/60 - 14*x**2. Let c(o) = -2*o. Determine d(c(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1446533715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wssswwwsswwss?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the first derivative of 8*r**3\/3 - 2*r**2 + 18. Let v(d) = d**2. Calculate v(q(z)).\nAnswer: 64*z**4 - 64*z**3 + 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 9.06 + -0.06. Let r = 4 - g. Put r, 5, 2 in ascending order.\nAnswer: r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -o - 6*o + 14*o + 24*o - 1116 = 0 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {g: 3, o: 2, s: 1, b: 2, d: 2, h: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 40 and 11560?\nAnswer: 11560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 119475 and 225?\nAnswer: 119475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 6*j. Let o(s) = -s**2 - 5*s + 3. Let d be o(0). Let u(l) = -1273 - 7*l + 1273. Let k(i) = d*v(i) + 2*u(i). Let h(w) = 6*w**2. Give h(k(f)).\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 9 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -15 - -5. Let n = 15 + v. Let l be 9\/(-15)*5\/(-4). Which is the closest to -0.1? (a) n (b) -2\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7\/(7\/(-834))*4\/(-12) is divided by (20\/15)\/(6\/63)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**2 - 57*c - 726. Give s(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that 12*d**3 - 1336*d**2 - 5036*d - 2760 = 0.\nAnswer: -3, -2\/3, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 11910*s + 153. What is the hundreds digit of z(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the third derivative of h**5\/270 + 71*h**4\/36 - 12*h**2 - 9*h. Factor u(m).\nAnswer: 2*m*(m + 213)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -2*3*(-5)\/30\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 147 = -130. Solve 0 = -4*j + 3*g, -2*j + 3*j - 5*g = k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 4*j**2 - 2*j - 2. Is 3 a factor of k(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 160 + -88. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = -15, 2*q + 1368 = -q - 3*w. Let t = q - -1666. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 470 minutes before 9:39 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 5*v**3. Let h(z) = 30*z**3 + 18*z**2 + 5*z - 12. Let n(q) = 31*q**3 + 21*q**2 + 6*q - 14. Let k(w) = 7*h(w) - 6*n(w). Determine 2*k(u) - 11*t(u).\nAnswer: -7*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 0.2, 0, -24, -99, -2\/5, -2\/21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -94643 - 2*c + 94778 - c.\nAnswer: -3*c + 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 14 and 53266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q - 6. Let v(c) = c + 5. Let h(s) = 2*s**2 - 4*s. Let w be h(3). Suppose w = i - 2*i. Let f(j) = i*v(j) - 5*d(j). Calculate f(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 1, 0.1, -7, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, -5, -2\/127 in descending order.\nAnswer: -2\/127, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (-1 - 6) - (-13 - (-21 - -12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*g + 18*g**2 + 3 - 12*g + 10 - 15*g**2 to r*g + y + w*g**2 and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 25 (base 9) in base 13?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w - v - 25, w - 4*v + 0*v - 1 = 0. Let d be ((-9)\/(-27))\/(1\/w). Suppose 48 = d*a - 45. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 47550 - -1?\nAnswer: 47551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*x + 5*x + 20 = 0. Suppose -4*o + o - x*z = 4, 4 = 4*o + 2*z. Suppose 3*i - o = -14. Sort 1, i, 3 in descending order.\nAnswer: 3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from {d: 7, g: 1, l: 1}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*p + 5106 = 63*p. What is the least common multiple of 3 and p?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -de + -5cc?\nAnswer: -6aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put together -16.3 and 0.044.\nAnswer: -16.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 5254*a + 87165 = 4581*a + 2908*a for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**3\/2 - 33*o**2 - 53*o\/2 + 390.\nAnswer: -(o - 3)*(o + 4)*(o + 65)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-28)\/(-6) - (-3)\/9. Suppose i*r = 4*r + 6. Let o(k) = -k**3 + 7*k**2 - k + 7. Is o(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-8 - -1)\/(3 + (-117)\/18). Let i(y) be the first derivative of 3\/2*y**5 + 2*y**3 + 0*y + 8 - 9\/2*y**4 + 0*y**f. Factor i(b).\nAnswer: 3*b**2*(b - 2)*(5*b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*v**3 + v**3 - 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*n - 2*n - 4*s = 1987, 3*n - 1188 = 3*s. Calculate the remainder when n is divided by (0 - 1) + 5 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 294, 706, 1228, 1860, 2602, 3454?\nAnswer: 4416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6766 and 5553692.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((2*sqrt(20))**2 + 4 + -4*sqrt(1280)) + 5.\nAnswer: -331 + 256*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 2739444977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -3 (b) -0.1 (c) 1230 (d) 3\/2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 151770051.\nAnswer: 3, 5621113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 36069 divided by 14300?\nAnswer: 3279\/1300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 8 (b) 2\/5 (c) 2 (d) -127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 234 and 322166?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 467*r - 5*v + 835 = 472*r, -16 = 2*v. Calculate the remainder when 1742 is divided by r.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 34238067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -41\/1218 and 79\/37352.\nAnswer: 112056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 7293 and 15.\nAnswer: 36465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -8*z + 1. Suppose 5*y = 1 + 9, 0 = 2*s + 4*y - 6. Let h be b(s). What is the derivative of 3*j + 3 - h*j + 4*j wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h*h**(-1\/5)))\/((h*h*h**1*h)\/h)*h**7*h**3)\/((h\/h**4*h)**19)**(13\/6) assuming h is positive.\nAnswer: h**(1343\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 34270 + -34243. Calculate the highest common divisor of 576 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5378, -5377, -5376, -5375, -5374, -5373?\nAnswer: -5372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 183528 (base 9) to base 6\nAnswer: 2240255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 7, v: 1, t: 1, o: 7}. What is prob of sequence to?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u**3 - 5*u**2 - 3*u - 8. Let q be k(6). Let v be q\/2 + 0 - (-4 + 4). Solve -1 = v*g - 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*m - 41*m + 981 = 0. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 3, t: 10, y: 3, o: 1, f: 2}. What is prob of picking 1 o and 1 t?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*j = 4*a - 16*j + 5, 2*j - 16 = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 21, -0.1, 0.3, 1, 2\/117 in ascending order.\nAnswer: -0.1, 2\/117, 0.3, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 3*v**2 - 1. Let s(y) = 18*y + 9. Calculate s(j(k)).\nAnswer: 54*k**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -1000011001000010011010 (base 2) to base 3\nAnswer: -11010202102121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 516*i**2*r**2 + 7*i**2*r + 7323*i**2 wrt r.\nAnswer: 1032*i**2*r + 7*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -22*l**2 - 114*l wrt l?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ssglsssgll. What is prob of picking 1 s and 2 l?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*l = -8*l - 32*l - 87. Sort -5, l, 2, -16 in increasing order.\nAnswer: -16, -5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*i**4 - 3*i + 3*i - i**4 + i**4 + 2*i**4 + 6*i**4 - 4*i**4 + i**4 + (-2 + 2 + i)*(-6*i**3 + 2*i**3 + 2*i**3) + 2*i**4 + 5*i**2 - 5*i**2.\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**3 - 2*v**2 + 4*v - 12. Let r be z(5). Let g = r - 71. Let h = -15 - -25. Calculate the least common multiple of g and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-820)\/(-8))\/(25\/(-10))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -2*k**3 - 30*k**2 - 2*k - 6. Let t be y(-15). Suppose -21*n = -t*n, -171 = -3*w + 4*n. What is the greatest common divisor of 9 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -36\/925 and 141\/70?\nAnswer: 12950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 4*k**3 + 1565*k**2 + 3459*k - 16338. Calculate l(-389).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + 4 + 2 - (-9 + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.38 in -0.2, 0.028, 1\/8, -0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 497 + -496.9991885. What is k rounded to five dps?\nAnswer: 0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 3 and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62*h = -79*h - 765. What is the common denominator of -30 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 4*o**2 + 2*o - 5. Let k(y) = 3*y**2 + 3*y - 5. Let u(w) = -5*k(w) + 4*q(w). Suppose 0 = 7*h + h + 7*h. Suppose 10*x - 6*x - 20 = h. What is u(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.275 + 1.4. What is l rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 6\/7, -0.3, 14, 2\/47, -4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n be -11 - (-5 - 1)\/(-3). Let m = -8 - n. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/4*565\/(-226)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i = -3*i + 9. Suppose i*z = 8 - 2. Let m = 374 + -370. What is the smallest common multiple of z and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 12\/(-8)*(-4)\/6. Let i(y) = 2*y - 2*y - 2*y - d. Give i(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9 - 9.3. Let f = 309 + -318. Which is the closest to 1? (a) f (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**(-8)*f)**(-30\/7) assuming f is positive.\nAnswer: f**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:39 AM and 12:59 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -177*a - 81. Let v(u) = -11*u - 5. Give 2*k(r) - 33*v(r).\nAnswer: 9*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the second derivative of 4*l**4\/3 - l**3\/3 - 3*l**2\/2 + l. Suppose 0 = -3*t - 2*t - 10. Is o(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18.5508 rounded to 0 dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -366 = 2*f - 100. Let v be (-9)\/((-630)\/f) - 2\/(-20). Which is the second smallest value? (a) -2 (b) -0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 209\/22*-2 + 6 + 2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q**2 + 11*q - 18. Give j(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*l + 10*l - 4*l + (-3*l - 2*l + 4*l)*(-5 - 1 + 4) + (-2 + l + 2)*(1 - 1 - 1).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -59018 = -10*w + 12112. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5259 divided by 2?\nAnswer: 5259\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 615 is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -5 (b) 2 (c) 189 (d) 422 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (152\/(-57))\/((-72)\/810)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 299711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 850.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 6336971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -782.17 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6\/566999 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 63560 = 2*w, -58*w = -60*w - 3*d - 63524. Is w greater than or equal to -31771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 46, -1, 24, -4, -2 in ascending order.\nAnswer: -4, -2, -1, 24, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 3, e: 2, j: 3}. What is prob of sequence ej?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2940 - -3399. Calculate the greatest common factor of u and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 6\/(-8)*(-2)\/(-3). What is the closest to k in 1, -0.04, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 29 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**2 - 3*y + 23. Let i be q(-7). Suppose 5*v = -5*x + 30, -3*x + v - 10 = -3*v. Sort i, x, -4 in ascending order.\nAnswer: i, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (-4 + sqrt(28)\/sqrt(4))**2 - (-1*(sqrt(567) - (sqrt(567) + 1)))**2.\nAnswer: -8*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 9172 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.5706 - -0.0706. Let t(o) = o - 11. Let x be t(6). Let u be (9\/(-12))\/((-30)\/(-4)). Which is the closest to u? (a) x (b) n (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 22 - 27. Let l = 10 - n. What is the remainder when 41 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 356626330 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -53 + 4*p**3 - 54 + 104 + p**2 as u + c*p**3 + z*p + b*p**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 5*w - 2554231 + 9975896 = 0, -4*w = -4*v + 9895556. Let h = -1094179 + v. Suppose -10*k = -h - 9320289. What is k rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*b**3*q**3 + 12*b**3*q**2 - 19406*b**3*q - b**2*q**3 - 80*b*q**2 - 2*b - 62*q**3 - 21*q wrt b.\nAnswer: -12*q**3 + 72*q**2 - 116436*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -17 - (-3957 + 3971)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be 422\/7 - (12\/(-9))\/(112\/(-24)). Solve 54*w - 64*w + v = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2366 and 5369.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1020 (base 5) in base 2?\nAnswer: 10000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 8629 divided by 7\nAnswer: 8629\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: ((-1520)\/(-114) - 5)*6\/(-15)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 10 = 5*z, -4*v + 12 + 4 = -2*z. Solve v*q = -3 - 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12821 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 47 = 74. Solve 3*y + 2*f = 2*y + v, 0 = 3*y + 4*f - 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = -0*o - 3*o - 20, 5*o - 3*z + 8 = 0. Is 1 + (1\/o - (-489)\/4) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 191 minutes after 6:06 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*i = 254 + 982. Is i a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, d: 3, m: 1, p: 2, y: 1, c: 1}. What is prob of picking 1 m and 1 e?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Suppose n = -0*n + 6. Suppose -8*d - 58 - 38 = 0. Let t(o) = o**3 + 12*o**2 - 2*o - 22. Let b be t(d). Solve -b*f + 20 = -n*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0, 3, 5, -4, -278536?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -0.03 * 12\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -6 + (4 + -4 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -24.177 - -24. Round q to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -5*i - 7*i**2 + 5*i. Let v(s) be the second derivative of s**3\/3 - 26*s. Determine v(f(j)).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 500485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 606981, -12, 0 in decreasing order.\nAnswer: 606981, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 4342831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2273930733 to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 425448549 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -41a7a (base 13) to base 4.\nAnswer: -130313120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/(-16) + (-1166355)\/(-72) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*b**4 + 160*b**3 + 504*b**2 + 512*b + 172.\nAnswer: -4*(b - 43)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8759888 centuries in years?\nAnswer: 87.59888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 2 - 18 = 0. Let c = -12 + h. Let w(g) be the second derivative of g**5\/20 + 5*g**4\/12 + g**3\/2 - g**2\/2 - g. What is w(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1.801739 micrometers to nanometers.\nAnswer: 1801.739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 7 - (107 + -38 + -67)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 + 1 = -8*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 5, s: 2, r: 6}. Give prob of picking 2 l.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*f**3 - 65*f**3 - 3*f**3 + (-15*f - 6 + 3 + 3)*(-2*f**2 + 0*f**2 + f**2) to l*f + a + q*f**2 + h*f**3 and give h.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*-4*(sqrt(264)*-2*-2 - sqrt(264))\/(sqrt(216) + sqrt(216)*3 + sqrt(216) + sqrt(6)).\nAnswer: 48*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.1, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13 - 696*q**3 + 184*q**2 + 694*q**3 - 184*q**2.\nAnswer: -2*q**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -2784 + 1391 + 24*y + 1384 in the form h + q*y and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -232 minus 0.2641?\nAnswer: -232.2641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (42\/14)\/24*4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 5383 + 8430 = l, 2*l = 5*x - 13804. List the prime factors of x.\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -4, 0.5, 1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 34343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -5653215614 plus 0.23118?\nAnswer: -5653215613.76882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(720) - (sqrt(720) + 0)) + 1)**2 + (sqrt(720) + -1 + sqrt(720) + 5 + sqrt(720))**2 - (6*(sqrt(720)*3 - sqrt(720))*-3)**2.\nAnswer: -926623 + 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -1385*q - 8211 = -994*q for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -370*i + 214*i = 556*i - 12104 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5*(-2)\/(-15))\/((-2)\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 15 = x. Suppose x*y - 40 = 25. What is the greatest common divisor of 39 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 17\/2 of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fvaxawn. Give prob of picking 1 n and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1530 + -1514. What is the highest common factor of 48 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (14\/6 - 2)\/(5\/(-14295)). Let y = 362224623\/386476 + 2\/96619. Let j = b + y. Calculate the common denominator of j and -79\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1090*m - 3782 + 1887 + 2*m**3 + 1884.\nAnswer: 2*m**3 - 1090*m - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*i + i + 115. Let b = 25 + i. Suppose -3 - b = -r. Put 2, r, -3 in descending order.\nAnswer: r, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -743231 (base 8) in base 4?\nAnswer: -330122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1 (b) 5 (c) 0.07 (d) -0.093 (e) 0 (f) -1.077\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -531, -1094, -1655, -2214, -2771, -3326?\nAnswer: -3879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -18*o + 134. Let c be d(39). Let g = c - -576. Solve m - 2*n = 6, 5*m = n - g - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p**2 + 5*p + 8. Suppose 0 = 3*k - 7*k + 24. Let q be x(k). Suppose -2*w + 22 = -4*j, -5*j + 2*j - 24 = -4*w. Solve w*z - 10 = -q*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 10 and 831204?\nAnswer: 4156020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -887.7 take away 275043186?\nAnswer: -275044073.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 360 and 288?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -1\/6, -6\/11, 2, 108.6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -58, -112, -166, -220, -274?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1483 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 356.4 plus 58?\nAnswer: 414.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = 11 - 1. Suppose 5 - l = -k. Suppose 2*c - 360 = -5*d + c, 0 = -2*d - k*c + 121. What is the remainder when d is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:33 PM and 4:17 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.1 or 7\/22605?\nAnswer: 7\/22605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 3*w + 19 = 0, 2*q - 17 = -w - 5. Let i = -2 + 2. Suppose q*k = -z + 42, i*z - 5*k + 108 = 4*z. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 10, x: 1, c: 9}. Give prob of picking 2 j.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (28*b**3 - 27*b**3 + 7*b**3)*(-9 + 1 + 26)*(-4 - 1 + 6) to the form i*b**2 + l + w*b**3 + q*b and give w.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = -24 + 56. Suppose -n = -2*c - 0. What is the smallest common multiple of c and -5*(48\/(-15) + -1 + 3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -122 - -234. Let d = l + -107.1. Let t = d + -0.7. Round t to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-381)\/(-99) + 13200\/(-6050). Let n = -3 + 2.94. Which is the closest to -1? (a) 2 (b) n (c) 0.2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 454*c**2 + 3*c - 1. What are the prime factors of r(2)?\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:49 AM and 8:25 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Add 22.89 and -0.26.\nAnswer: 22.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (87 - 82) + -2 + 7 + -53.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 18, 46, 80, 120, 166?\n\"Answer: 3*n**2 + 19*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 28, -1, -8.\nAnswer: -8, -1, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(256) + 1*sqrt(64))\/(-1*(sqrt(648) - (sqrt(648) - sqrt(648)*3))))**2 + 5.\nAnswer: 413\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**3 + 13*f**2 - 5*f - 1. What is the hundreds digit of o(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 872 is divided by 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/2, -0.17, -7, 26 in descending order.\nAnswer: 26, 1\/2, -0.17, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-10)\/(-35))\/(1\/14). Suppose o - 11 = 3*y, -r*o + 5*o - 7 = 5*y. Let l be 1\/(-3) + (-256)\/(-3). Calculate the highest common divisor of l and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o**3 - 4*o**2 - o - 1. Let b(w) = w**2 - 21*w + 5. Let h be b(18). Let z = h - -60. What is the remainder when p(5) is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -10393296, -10393297, -10393298?\n\"Answer: -d - 10393295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/8, 1\/4, -3\/5, -8.9, -0.4, 0 in increasing order.\nAnswer: -8.9, -3\/5, -0.4, 0, 1\/8, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 40 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*f - 14*f + 4417. Is f a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(3 + 1 + 3*((-2 + sqrt(12)\/sqrt(4) - sqrt(3))**2 - (sqrt(3) - (sqrt(3) + 0)*-5 - sqrt(3)) - (1 + (2*sqrt(147))**2))).\nAnswer: 45*sqrt(3) + 5253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -8 or -382\/53?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 5*b**3 + 5*b**2 - 7*b + 4. Let c(h) = h**3 + 3*h**2 + 1. Let t(a) = 4*c(a) - w(a). Give t(5).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 79552 to the power of 1\/2, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.7 + -0.8. Let o = p - -2.1. Let h be (-4)\/(-6)*2\/(-8). Which is the smallest value? (a) h (b) 1\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4607 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.4 in 2\/7, 8, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 891079234.\nAnswer: 2, 445539617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n - r - 6 = 5*n, -4*n = -4*r - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -1102800 by -200.\nAnswer: 5514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 6*s + 7. Determine w(7).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -221.8 + 29.8. Let y = o - -192.0081. Let d = 0.00809787 - y. What is d rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14877 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = m**3 + 10*m**2 + 2*m - 6. Calculate n(-9).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 115272.8296 to 0 decimal places.\nAnswer: 115273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -12416721.014 to the nearest one hundred thousand.\nAnswer: -12400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 28 + -25. Which is the nearest to 12? (a) d (b) -0.3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -47.691 to one decimal place.\nAnswer: -47.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -64 - -193. Let z = -109 + h. Suppose 4*x + 2*v + z = 0, x - 27 + 10 = 5*v. Sort 3, 5, x.\nAnswer: x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -1\/5 (b) 4 (c) 1\/2 (d) 244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*58\/(-59682)*-49?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8302 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -2*z**5 + 8*z**4 - 14*z**3 - 8*z**2 + z - 5. Let p(s) = -s**5 + s**4 - s**3 - s**2 - s - 1. Let m(q) = i(q) - 5*p(q). Factor m(w).\nAnswer: 3*w*(w - 1)**2*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 21*q**2 - q + 2. Let y be i(-3). Let k = y + -29. Calculate the greatest common factor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 27 + (367 - 389) + 0 + 21.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**2 - 7*w + 2. Let n be s(-7). Calculate the common denominator of 16\/11 and (3\/n)\/(20\/56).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*d - 14*d + 207. Calculate the remainder when 124 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 10*p**4 - 585753*p**2 + 12375893*p?\nAnswer: 120*p**2 - 1171506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nbttbtttntt. Give prob of picking 3 t and 1 b.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r and 1 q when three letters picked without replacement from rldrqrdrlrrqrqqlrrrq?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1407\/1243 - -1\/226. Let o be -3 - (7 + 1 + -1). Calculate the common denominator of (1\/o)\/((-4)\/(-206)) and q.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/((16\/(-4))\/(-2)). Let j = -5\/8 + 1\/2. Which is the closest to 3? (a) j (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fjqqfjqjjt. Give prob of sequence jf.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**2\/7 - 256*p\/7.\nAnswer: -2*p*(p + 128)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3 - -22?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 103932 - -0.2?\nAnswer: 103932.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -3*d**4 - 4*d**4 + d**3 + 6*d**4 - 2 + 2*d**3 in the form w*d**3 + z + x*d**4 + g*d**2 + a*d and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1494 - 922. What is the greatest common factor of n and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjbvjvrjrvjllrrvjjqv. What is prob of sequence qjl?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1b0 + 1?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -458 > -403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 455129 and 218999.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -8 divided by -106?\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 7276584.6 milliseconds?\nAnswer: 2.0212735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 711 - 708. Suppose -4*y + 3*y + 5 = 0. Do y and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yg when two letters picked without replacement from gby?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 155017.\nAnswer: 155017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 3451, 3109, 2767, 2425, 2083, 1741?\n\"Answer: -342*o + 3793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5 + -85c?\nAnswer: -857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 807435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, k: 2, e: 3, i: 1}. Give prob of picking 1 x and 2 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*n**3 - 4*n**3 + 2*n**3)*(-1 + 0 + 0)*(5 - 3 + 4).\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4 - -678) + -1 + 4. Suppose 117 = -4*q + a. Let f be q\/18 + 10\/45. Calculate the greatest common factor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/396 and -151\/1320.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i\/(i*i\/((i*i\/(i\/(i**3*i)))\/i)))*(i**(-4\/5)\/i*i*i)\/i)\/(i**(-2\/3)\/i)**(-3\/19) assuming i is positive.\nAnswer: i**(-291\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -6*v + 2. Let g(j) be the third derivative of -17*j**4\/24 + 5*j**3\/6 - 3*j**2. Let w(f) = 11*d(f) - 4*g(f). Calculate w(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (86\/(-4))\/(10*(-10)\/(-200)). What is the nearest to c in -4, 2\/5, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.04 or -1894?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be (4\/6)\/(10\/360). Solve 2*k - 2*u - 4 = 0, -4*k - 2*u + c = 2*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**6\/s*s**(-1))**(1\/18)\/(s**(-7)\/(s*s\/((s\/(s**(-2)*s)*s*s*s)\/s)))**(-1\/80) assuming s is positive.\nAnswer: s**(23\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 7*t**3 + 5*t**2 + 11*t - 11. Let f(s) = 4*s**3 + 2*s**2 + 6*s - 6. What is -11*f(x) + 6*j(x)?\nAnswer: -2*x**3 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 244077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = 872 + -867. Solve -u*k + r - 18 = 0, 4*k - 2*r + 18 = -0*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p + 5*w + 15 = 0, 9*p = 10*p - 2*w - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 17000834 (base 9) to base 7\nAnswer: 132165142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 2 a when three letters picked without replacement from kevenccakaac.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 290491357?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -3*a - 3. Let z be o(-2). Suppose z*i = 792 - 183. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the second derivative of 11*h**6\/30 - 7*h**5\/20 - 24*h**4 - 549*h. Find the third derivative of w(k) wrt k.\nAnswer: 264*k - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2850 and 874.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 230532.\nAnswer: 2, 3, 19211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 403 + -383. What is the greatest common divisor of 290 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = v**3 - 4*v**2 + 4*v - 2. Let m be j(2). Let u be (m - (3 - 92)) + -1. Let y = -55 + u. Solve 0 = 3*n - 12, -3*f = 3*n - y + 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 42*s - 77. Calculate u(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 886 divide 1158254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qvqecdec. What is prob of picking 1 e and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1966265 is divided by 96.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.05529*-1.2.\nAnswer: -0.066348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 5*x**3 - 2*x + 1. Let s(b) = -59*b - 179. Let a be s(-3). Calculate o(a).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3 + a - 2 + 1)*(46 - 33 - 33) in the form i*a + r and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2725 - 2724.5. Which is the fourth smallest value? (a) 6.7 (b) -6\/19 (c) y (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(684) + 4 + sqrt(209)\/sqrt(396).\nAnswer: 4 + 37*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 47? (a) 5 (b) 1\/3 (c) -20 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 142 minutes after 12:37 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -25*t + 385. Determine i(16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4021499939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = -22 - -25. What is the second smallest value in -3\/8, 1\/4, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u**3 + 59*u**2 + 65*u - 73. Calculate o(60).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -68144375 + 0?\nAnswer: -68144375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -5*-37.23\nAnswer: 186.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ubkuujukujukj. What is prob of picking 1 b, 1 j, 1 k, and 1 u?\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -64 - -21 - (1 + -20 + 8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(88)\/sqrt(2))**2 + sqrt(44) + 1 - ((sqrt(11) - (sqrt(704) + 2*sqrt(704) + sqrt(704)))**2 - (1 + (sqrt(99) - sqrt(11)))).\nAnswer: -10525 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 103*s - 415*s + 25500 - 11844 = -14424 for s.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 14143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 7950, 7945, 7940, 7935, 7930, 7925?\n\"Answer: -5*d + 7955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**2 + 269*l - 11583. What is x(37)?\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/((-28)\/2))\/((-1)\/(-1))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ky when two letters picked without replacement from {m: 1, k: 2, b: 2, j: 1, y: 5, s: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 4 - 2 + c - 2. Let v = -83 - -91. Let t(s) = 16*s - 3*s - 3*s + v*s. Give t(m(h)).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = 72 - 67. Let w(b) = 3*b**3 - 2*b**2 + 8. Let o be w(a). Let n = o - 166. What are the prime factors of n?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -795 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -6198ba (base 12) to base 15\nAnswer: -203784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/(-3)*(-9)\/(-1). Let d be (-9)\/x*-2 - 1. Let a be 0 - (d - 5\/1). Solve a*z + z = 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -64531 (base 7) to base 10.\nAnswer: -16045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:59 AM and 12:08 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/22944 and 103\/600?\nAnswer: 573600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3568*j**2 + 2330 wrt j?\nAnswer: 7136*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 3*r - 2. Suppose 0 = i - 2*i - 3*f + 23, -4*i + 28 = -r*f. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, f: 1, x: 2, i: 4, p: 3}. What is prob of sequence rxf?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -u**2 - 3*u + 12. Let s be p(-5). Solve 2*f - o - 24 = -2*f, 2*f - 18 = s*o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((6*sqrt(108)*-2)\/(sqrt(4) + 6*-2*sqrt(4)))\/(-1*sqrt(324)*2).\nAnswer: -sqrt(3)\/11 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4)\/(-16) - (-38)\/8. What is the third derivative of 40*o**2 - 37*o**2 - 2*o**4 + i*o**4 + 2*o**4 wrt o?\nAnswer: 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fcpaacaoafaapupafaau. What is prob of picking 1 u and 1 p?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -15407.7 rounded to the nearest one hundred?\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ggpptgp. What is prob of sequence tppg?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = -5*c + 2*x, 3*c - x = x - 18. Suppose 0*b - 5 = -2*d + 5*b, 2*d + b = -1. What is the closest to d in c, 0, -1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*t + 5*g - 10, -2*t + 0 = 5*g - 10. Solve 3*s = -15, -5*z - 5 = s - t*s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 25117006 - -4?\nAnswer: 25117012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -74 + 61. Let k = 5 - m. Suppose k = -3*b + 45. Which is bigger: b or 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 37 * 7996.\nAnswer: 295852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 927 - 504. Suppose 17*r + 151 = k. Suppose 0 = -3*f + 7*f - 40. Calculate the smallest common multiple of f and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + -5*(-3*sqrt(187))\/sqrt(11) + 0)*1.\nAnswer: 4 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4703895 and 26715?\nAnswer: 61150635","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Let n be (1 - 0 - 4) + 7. Suppose n*b + s = 2*s + 60, 0 = s + 4. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.2 - -4.2. Let m = -1.1 + 1.04. Let k = -3.06 - m. Which is the closest to 1? (a) -0.5 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 32906.19 hours?\nAnswer: 1371.09125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 4*z = -15. Suppose 25*j = 28*j - 30. Solve z*q + j = 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -4 (b) -0.1 (c) -91\/4 (d) 1\/2 (e) 499.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 50298122277094 + 0.3?\nAnswer: 50298122277094.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 14\/155? (a) 1 (b) 2\/11 (c) 2\/5 (d) 0.53 (e) -30 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 14 and 1.6.\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 114176991 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 438364082 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l be (2 + 9\/6)*6. Let i(o) = 9*o**2 - 7*o - 8. Let c be i(-2). What is the greatest common factor of l and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2 + 0)*11\/2. Let s(m) = -m**2 - 10*m + 14. Let u be s(r). Suppose u*k - 377 = -2*z + 626, -3*k + 5*z = -1031. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4 + 1 - 3 - 11253. Suppose 2*u = -l + 1906 + 1298, -6396 = -2*l + 2*u. Let b be (1 + 0 + m)\/((-120)\/l). Round b to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 885522 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 14.572 - 14.472. Which is the nearest to 2\/3? (a) 1\/3 (b) -6 (c) -12\/7 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(3) + -1*sqrt(3) - sqrt(3))**2 - (sqrt(99)\/sqrt(3))\/sqrt(11)) + -1.\nAnswer: -sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 355\/204 - 184\/17. What is the common denominator of r and -93\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 31013 + -42368. What is w rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 2, g: 1, z: 2, c: 1, u: 1}. What is prob of picking 1 u, 1 c, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = -256 + 260.56. Let d = -4.56000191 + r. Round d to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 4162 divided by 1\nAnswer: 4162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 198089444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m - 3. Let t(s) = -317*s + 18. Let i(z) = 6*b(z) + t(z). Let r(p) be the third derivative of p**4\/12 - p**2 + 6*p. Calculate r(i(l)).\nAnswer: -622*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -1122023 (base 4) in base 13?\nAnswer: -281c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -25*y - 4. Let v(c) = 13*c + 3. Calculate 2*l(w) + 5*v(w).\nAnswer: 15*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54*m = 66*m - 180. Calculate the least common multiple of 3702 and m.\nAnswer: 18510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 3*u = 19, z - 4*z = -5*u - 7. Let x = 8 - z. Calculate the remainder when 7 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/(-4) + (-4753)\/57820. Let s = -4\/59 + f. Put 3, s, 2, -0.2 in descending order.\nAnswer: 3, 2, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/30*20\/12*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3*6\/198*-209.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Are 1346795\/7 and 192399 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-4)\/(-14) - 332\/(-14). Suppose 3*l = -3*u - b, 3*l - 2*u - 1 = 2*l. What is the second smallest value in 3\/7, l, 0.2, -12?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.83 times 6?\nAnswer: 4.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply 514 and 0.5.\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 110*w**2 - 1325*w - 2070. Let x(c) = -248*c**2 + 2651*c + 4141. Let z(i) = -9*b(i) - 4*x(i). Find the first derivative of z(y) wrt y.\nAnswer: 4*y + 1321","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3, 9, 27, 51?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 39442691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.99 and -43371?\nAnswer: 43370.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00002113717 to seven decimal places.\nAnswer: -0.0000211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 5, 0, 14, -21 in descending order.\nAnswer: 14, 5, 0, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 + 11. What is the lowest common multiple of 16 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(104) + 1*sqrt(104) - sqrt(104)) + sqrt(104))*-6 + ((1*sqrt(104) + sqrt(104))*-1 - sqrt(104)))\/((sqrt(968) + (sqrt(968)*2 - sqrt(968))*-4)*6).\nAnswer: 5*sqrt(13)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(475)*-5 + -5.\nAnswer: -50*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 15 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*32\/372*2\/8.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-3)*y**(-3\/4))\/(y**(-1\/4))**17 assuming y is positive.\nAnswer: sqrt(y)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 24*y**2 + 5*y + 9. Determine c(-2).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -7111913.61 to the nearest 100000.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z**5\/9 - 7*z**4\/9 + 14*z**3\/9 - 2*z**2\/9 - 5*z\/3 + 1 = 0. Calculate z.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 - -103003033?\nAnswer: 103003100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -72 divided by 737.\nAnswer: -72\/737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 7714 by 2.\nAnswer: 3857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 4*q - 2. Let d(x) = -4*x + 2. Let p(m) = 3*d(m) + 4*t(m). Let l be p(2). Let n(u) = 5*u**2 + 2*u - 1. Let o be n(1). Are o and l nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 1897012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.062 + 0.062. Let d = o - -49. Let r = 48.968 - d. What is r rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12861*w = -25*z - 12857*w - 255, z + 6*w = -41 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -5*m - 209 - 15242, -8*g - 5*m + 41166 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2796?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 950620 and 9512?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.157 - -138?\nAnswer: 137.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6\/393331 + -20269133038\/3539979. Let v = 5732 + b. Find the common denominator of v and 9\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/(-4)*2 - 56\/(-16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 18*4\/(-8) + (5 - 8) + 7. Let o = -3\/68 + 43\/204. Which is the closest to 1? (a) -3\/4 (b) o (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -646, -2090, -4506, -7894, -12254, -17586, -23890?\nAnswer: -31166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-22)\/33*18\/4. Let o = -3 - 5. Let x = c - o. Solve -1 = -n + t, 0*t + t + 21 = x*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 9 - 7. Let c be 32\/6 - 4\/12. Suppose -29 = -5*i + 3*d, -p*i + 3*d + 22 = c. Solve 5*f - 1 = i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (4 - 8)\/((-2)\/10). Solve -3*d - d = x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8467 + 94205. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2155 - -41?\nAnswer: 2226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 13*u - 25. Solve -3*f + 9 = u*v, 2*v - 2 = -f + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {b: 1, p: 1, i: 2, v: 2, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 39 + 4 = 5*q, 4*l = 3*q - 23. Calculate the remainder when 23 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -77083 + 77017.477. Let s = 65.8 + c. Let t = s - -0.012. What is t rounded to 2 dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 176 <= -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1705 and 192005?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (5 + (-174)\/30)*65\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 9718 + 10?\nAnswer: 9728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 335 - 329. Let j(o) = 3*o**3 + 13*o - 114. List the prime factors of j(z).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = -j + 86, -2*r + 43 = -r - 5*j. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = -122 - 3. Let y = -13 + f. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -1046, -2379, -3712, -5045?\n\"Answer: -1333*v + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 + 30424?\nAnswer: 30422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 3 + -3 + 2 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 16120341 (base 7) to base 6\nAnswer: 53125330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-4)\/z**(-7))\/((z**(1\/3)\/z)\/z*z*z**(-7)))\/((z*z**(-1\/6))\/(z*z**4)*(z*(z\/(z*z**(-1\/5)))\/z)\/(z**(-3\/4)\/z)) assuming z is positive.\nAnswer: z**(773\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*t - 8*t + 13*t)*(-t**2 + 11*t - 11*t).\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n + 4*y - 12, -3*n + 10 = 2*y + 1. Suppose 3*m + 2 = -1, x - 10 = n*m. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 22 and 2698740.\nAnswer: 2698740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 469 = 6*q - 3*q, 4*q - 608 = 2*w. Solve -q*p + 156*p = 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1386368819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be 9*(-3 + -1 - 1). Is t greater than or equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**3 + 8*j**2 + j + 10. Let v be o(-8). Let i(y) = 9 - 21 - 21*y + 4*y + 3*y**2 - 4*y**v. What is the remainder when i(-11) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 65069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -12502*m + 14582*m + 8690*m as k + n*m and give n.\nAnswer: 10770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5\/2 in 37, 14, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6*k**2 - 10*k**2 + 16*k**2 + 9*k**3 + 4*k wrt k?\nAnswer: 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -53 = 5*y - 28 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3628 is divided by 191.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is ((135\/(-20))\/(-3))\/((-18)\/(-12))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 20 = 4*d. What is the remainder when 41 is divided by (1\/3)\/((d - -2)\/198)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 73 + -42 + (-49 - 7)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -310 + 312. Suppose -2*y = -4*y - b*p - 2, 2*p + 26 = 4*y. Solve 3*o = 4*z + 4, -4*z - y*o + 1 = 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from deepeowweww. Give prob of sequence eow.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 3*y. Let x(t) = 11*t + t - 5*t + t. Give h(x(z)).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 248 - 238. Suppose 5*y = 2*p + 14, -23 = -5*y + g*p - 11*p. Solve 0*f = y*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b*b*b**(-3)\/b*b)\/b*b)\/b*b**(-3)*b*b**(-2\/9)\/((b*b**(-7))\/b))\/(b*b**(4\/3)*b*((b*b*b**(5\/6))\/b)\/b*b*b**(-1\/2)\/b*b**0) assuming b is positive.\nAnswer: b**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 38a (base 11) to base 12\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (6*1*sqrt(76))**2.\nAnswer: 2741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 10 - 1010212?\nAnswer: -1010202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**0)**(-2\/33))**(-18) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**11)**10 assuming g is positive.\nAnswer: g**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 22 = -4*d, -r + 2*r - 3*d = 1. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -2*n**2 + 11*n + 17. Determine m(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -2\/7, -322, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7 + -4. Sort -2, k, -3 in increasing order.\nAnswer: -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1, -3, -32016.\nAnswer: -32016, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the third derivative of -a**8\/560 + 11*a**7\/280 - a**6\/5 - 9*a**5\/10 - 4*a**3\/3 - 4*a**2 + a. Let p(z) be the first derivative of d(z). Factor p(v).\nAnswer: -3*v*(v - 6)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -2761477 divided by 5\nAnswer: -2761477\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -11*q + 1923434 - 1923060 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose g**4\/4 - 57*g**3\/4 + 98*g**2 + 492*g - 576 = 0. What is g?\nAnswer: -4, 1, 12, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -87196 divided by -4\nAnswer: 21799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 951425 is divided by 475711.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*o**2 - 3*o**2 + 4*o**2)*(0*o**2 - 2*o**2 + o**2) + 0*o**4 + o**4 + 0*o**4 - 3*o**4 + 0*o**4 + 2*o**4)*(17 + 21 - 28) - o**4 + 2*o**4 + 2*o**4.\nAnswer: -27*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 b and 1 o when four letters picked without replacement from nopdobbobdbbonbbd?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = -g + x - 2, -2*g - 11 = 5*x. Suppose r = o - g, r = 4*o - r - 32. Let p = -51820\/9 - -5758. Which is smaller: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 824.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*j - 3*j - 2*j)*(-2*j**3 - 426*j + 428*j - 6*j**2 + 1 - 55*j**2) to v + h*j**4 + w*j**3 + m*j + n*j**2 and give w.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (176\/99)\/((-14)\/(-63)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1033 - 185. Suppose -i = -5*q - 4*b - 304, 3*q - 3*b = 321. Suppose -p = -5*p + q. What is the least common multiple of p and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -2*b**3 + 14*b**2 + 8*b - 22. What is the remainder when h(7) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*h**4 - h + 3*h - h + (599*h**3 + 22128*h**2 - 22128*h**2)*(3*h - h + 0*h) in the form v + j*h**3 + b*h**2 + x*h**4 + o*h and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the first derivative of 5*g**2\/2 - 113*g + 167. Let j be s(23). Solve o - 1 = 4*k + 7, o - 2 = j*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 33633\/7, -67, 3, 13 in decreasing order.\nAnswer: 33633\/7, 13, 3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*p - p = -104 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*(-4)\/((-8)\/(-12)*3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1605 and 3450?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -16*y + 4*y - 13*y - 7*y in the form q*y + x and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/2, -1, 0.029?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 2*f - 10. Let k be q(8). Solve 0 = 3*p - 2*i - 7, -4*p + k*p + i = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -9*y - 4. Let i(s) = -25*s + 4. Let w(f) = -136*f + 20. Let z(r) = 16*i(r) - 3*w(r). Calculate -5*a(h) - 6*z(h).\nAnswer: -3*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 347966944 divided by -8?\nAnswer: -43495868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 151, 301, 451, 601, 751?\nAnswer: 901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 32\/5 of a day?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 31599727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 183797 is divided by 3406.\nAnswer: 3279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 96 and 88008.\nAnswer: 352032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h + 49 = 29 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 7\/26? (a) -1 (b) 1612\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -489*x**4 + 43*x**3 + 937579*x**2?\nAnswer: -11736*x + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = 1 + 8. Let i(s) = 2*s - 5. Let v be i(4). Let f be (18 + 0)\/(v - 1). What is the greatest common divisor of f and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 3, b: 2}. What is prob of picking 2 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = -41 - -6. Let v = 69 + l. Let j = 52 - v. Calculate the smallest common multiple of j and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30662 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -48 + 125. Let k be 140\/(-25) - 2 - 6\/(-10) - -21. What is the greatest common factor of k and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 232105050 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.024 in -3\/2, 3\/4, -34, -23, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1136\/6 - (30\/9 - 3). Let r = 33 + -31. Let g be ((-12)\/18)\/(r\/(-63)). What is the highest common divisor of m and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/(8\/((-32)\/6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 292 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 70271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + 0 + 3*(sqrt(128) - (-5 + sqrt(128)*-4 + sqrt(128)))*-6)*-5)**2.\nAnswer: 2649600*sqrt(2) + 16800400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -b**3 + 11*b**2 + 4. Let d be c(11). Let s be 5 + 0 - (-3 + (-3 - -6)). Let q = 48 - 29. Solve -4 = 4*a - d*x, -3*x + q = s*a - 0*x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*h + 107 - 425 - 241 - 11 = 0 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1220021102 (base 4) in base 12?\nAnswer: 186a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 302 minutes before 4:46 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2 + (-4)\/(-3))*-3. Suppose 0 = 5*w - 86 - 34. Suppose 0*z + a*z - w = 0. Solve -4*p = -0*p + z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*c + 4770 = 33*c. Suppose -11*m + c = 58. Suppose m = -h + 180. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -225260 (base 7) to base 11.\nAnswer: -28290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*b**2 + b**2 + 0*b**2 + b**2 + 4*b**2 - 4*b**2 - 2*b + 2*b**2 + 2*b + (2*b + 2*b - 2*b)*(-b + b + b) - b**2 + 3*b**2 - b**2 + 1 + b**2 - 1.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1200066 divided by -4?\nAnswer: -600033\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -71, -343, -807, -1463, -2311, -3351?\n\"Answer: -96*h**2 + 16*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(3\/2)*c\/c**0)**(-16) assuming c is positive.\nAnswer: c**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 3*p**3 + 2*p**2 - 2*p - 5. Let k be u(-3). Let r = 62 + k. Solve -3*b - 20 = -8*b, 5*c - b - 1 = r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 + d770?\nAnswer: d773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w\/((w*((w\/(w*w**17))\/w)\/w)\/w))\/w*w)\/(w\/(w**16\/w)))\/(w**(2\/31)*w\/(w**(1\/2)*w)) assuming w is positive.\nAnswer: w**(2135\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -22*g + 27. Let j(w) = 1181*w + g*w**2 - 1181*w. Let z(l) = -10*l**2. What is z(j(n))?\nAnswer: -40*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the third derivative of -z**5\/60 - 11*z**4\/24 - z**2. Calculate the smallest common multiple of a(-9) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in a**3 - 5*a**3 + 7*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = -8420 - -20421. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.11 (b) -1 (c) 1\/97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 1 i, 1 x, and 1 v when four letters picked without replacement from rxrxrivvrrrr.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -28 + -52. Let q = -79 - x. Calculate the greatest common divisor of 2 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2793749 to two decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2126081, -2126086, -2126093, -2126102, -2126113?\nAnswer: -2126126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 10*c**2 + 2. Let t be d(1). Suppose 13*g = 11*g + t. Solve i = g*i - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.011889 rounded to four decimal places?\nAnswer: -0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 2*v + 3. Suppose 0 = -6*j - 11 + 23. Let p(u) be the second derivative of -j*u + 2*u**2 + 0 + 1\/2*u**3. Give 5*l(h) - 4*p(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 70 = 3*d, d + d = 0. Let f = u - 69\/2. Let l = -38.4 - -32.4. Which is the nearest to 0.1? (a) -4 (b) l (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**3 - 6*v - 4. Calculate r(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ywe when three letters picked without replacement from wbkkyieeieykibye.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -3*o**2 + 298*o - 156. Give v(98).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -69622521.86 to the nearest 100000.\nAnswer: -69600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2552 and 1063720.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1, 3\/26, 4, -22, -0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32\/(-24) + (6 - (-104)\/24) + -30.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -11\/675 and -38\/75.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 63 and 56?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -941.\nAnswer: 1\/941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -2 - 3 + 4 - 35*w + 36*w. Let p(y) = -4*y - 3 + 2 + 5 + 2. What is p(z) + 5*v(z)?\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 238253296 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 15 = -0*x, 0 = 5*j - 2*x. Suppose 3*k + 19 = 5*n, 3*n + 2 - 13 = j*k. Calculate the common denominator of -101\/10 and ((-13)\/(-6) - k)*53.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5710 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 2, w: 6, r: 1, i: 4}. What is prob of sequence qqw?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c + 2. Let z(a) = 3*a + 6. Let o(b) = 8*j(b) - 3*z(b). Determine o(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 42.5601 and -4825.\nAnswer: -4782.4399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 8, 174, -10431 in increasing order.\nAnswer: -10431, 8, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -23*y - 86. Let d(u) = 5*u**3 + u**2 - 2*u - 3. Let l be d(-1). Let c be i(l). Let o(z) = 2*z + 1. Let r be o(-2). Put r, c, -2 in increasing order.\nAnswer: r, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 - 2 - 7)*(t + 3*t - 3*t) - 2 - 2*t + 2)*(0*t**3 + 3*t**3 + 0*t**3).\nAnswer: -33*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**2 + 11*l + 10. Let b(y) = y**2 + 5*y + 5. Let m(r) = 5*b(r) - 3*f(r). Is m(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 141 a factor of 42957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 5126\/9 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let -4*f**2 - 167564*f - 2010192 = 0. Calculate f.\nAnswer: -41879, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8828, 8707, 8586?\nAnswer: 8465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - r)*(r + r - r)*(1 + 2 - 2).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6116784099?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5184\/252)\/(-24)*17\/3.\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 29109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the second derivative of p**4\/12 - 209*p - 1. Let g(q) = -725*q. Calculate g(c(o)).\nAnswer: -725*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 14206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is (-3)\/3*478\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1))**(-1\/40)\/(t*t*t*t**(-4)*t**(2\/7)) assuming t is positive.\nAnswer: t**(207\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 2*k = -685 + 723, -4 = 2*k. Which is the closest to -1\/4? (a) t (b) 4 (c) -1 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*c + 20*c + 3*c + 9*c.\nAnswer: 37*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 52877.\nAnswer: 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 34*b + 1. What is the units digit of c(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 72 + 109. Let m = j - 117. Calculate the highest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -68691, -138569, -208447, -278325, -348203, -418081?\n\"Answer: -69878*x + 1187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(1377))*4 + 1.\nAnswer: 1 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -24131, -48939, -73753, -98573?\n\"Answer: -3*v**2 - 24799*v + 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -44*b + 23335 - 21619 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dmm when three letters picked without replacement from {d: 2, b: 1, t: 1, i: 3, m: 3, o: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - 4*x = -32. Let h(q) = -q**3 - 16*q**2 - 6*q - 36. Let t be h(-16). Suppose 0 = x*m - 4*m - t. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**3 + 9*a**2 + 3*a + 5. Let d be l(-9). Let n = d + 43. Suppose -53 = -2*f - n. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1 - 0)\/((-10)\/50). Let g be 0\/(0 + -3 + z). Solve 5*l = f - 11, g = 2*l + l - f + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 2*n = 3*n + 17, -2*f = 2*n - 22. Let s be (60\/35)\/(3\/21). Let b = s + f. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 352632829, 705265658, 1057898487?\n\"Answer: 352632829*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 188 - 186. Find the third derivative of 9*s**3 + 794*s**4 + 0*s**2 - 22*s**g - 793*s**4 wrt s.\nAnswer: 24*s + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yb when two letters picked without replacement from hyfxhbhfhxbhhhh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.4 + -7.6. Let y = 98 - 89.8. Let c = y + s. Sort -2\/11, 2, c in descending order.\nAnswer: 2, c, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r = -5*b + 12, -4*b - r + 16 = 3*r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let 12*u**5 + 63*u**4 + 75*u**3 - 45*u**2 - 87*u - 18 = 0. What is u?\nAnswer: -3, -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/9, -45253, 7.3, -1\/8 in increasing order.\nAnswer: -45253, -1\/8, 2\/9, 7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -115*v**2 - 612535*v.\nAnswer: -5*v*(23*v + 122507)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Do -252 and -1\/352 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*q - 531 + 1719 = 91*q. What is the highest common divisor of 8136 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -c**3 - 9*c**2 - 18*c - 22. Let w be r(-7). Let l(a) = a**3 - 9*a**2 - 8*a + 9. Let f be l(10). Let b = -24 + f. Which is bigger: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**3 + 7*u**2 - 10*u - 109. Let i be t(-6). Let r(w) = -w**3 - 13*w**2 + w + 16. Determine r(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 81 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 17 = -w, -2*w = -5*a + 2*w - 5. Suppose 0 = 8*x - 6*x - 8. Let b(k) = -12*k**2 - 5*k + x + 26*k**2 - 12*k**2. What is b(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b**2 + b + 1. Let y(a) = -7*a**3 + 5*a**2 + 3*a + 3. Give 3*w(x) - y(x).\nAnswer: 7*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-119)\/(-5) - (-4)\/(-5). Solve -5*i + k + 2 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 7*q - 3*o - 16 = 0, 4*q = -4*o - 16. Let v be (-2)\/q*(0 - 0). Let l = 127506 - 127512. What is the closest to l in -2\/7, v, 2\/21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**3 + 70*k**2 + 47*k - 1517. Determine c(-69).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 8) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 5 - 8)*(1 + 2 - 1)*(0 + 2 - 6)*(-26 + 2 + 4)*(-3*h + 2*h - h)*(-7 + 3 + 2).\nAnswer: -8320*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = 4*o - 32, -6*o = 4*g - 2*o - 24. Put 19, -2, g in decreasing order.\nAnswer: 19, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 2*-2.696\nAnswer: -5.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -j**5\/3 - 16*j**4 + 1003*j**3\/3 + 898*j**2 - 20832*j - 42336 = 0. What is j?\nAnswer: -63, -7, -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2101200 - 12?\nAnswer: 2101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 30947757?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m**2 + 41498*m. Let b(g) = 2453*g. Give b(r(p)).\nAnswer: -2453*p**2 + 101794594*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2 - 2)*(c**2 - 2*c**2 + 0*c**2) + c**2 - c**2 - 3*c**2 + (-51*c**2 + 116*c**2 + 3*c**2)*(1 + 0 - 4).\nAnswer: -209*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -2*y**2 + 694*y + 3479. Give w(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 1408 + 1369 = 2251*m + 1464 - 5440 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -24*b + 27*b. Let y be b\/(-6)*-3 - -47. Let d = y + -56. Which is smaller: 2\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4172, 4176, 4182, 4190, 4200, 4212?\nAnswer: 4226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.8 in 2\/25, -36\/11, 11\/456?\nAnswer: 11\/456","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8951524ml in litres?\nAnswer: 0.0008951524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -284 + 674. List the prime factors of a.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 292, -2, 3 in ascending order.\nAnswer: -4, -2, 3, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes before 2:56 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -14. Let h = 124 - 117. Let u(s) = -20. Let l(j) = h*x(j) - 5*u(j). Let p(i) = 35 + i - 35. Give -l(k) - 3*p(k).\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 21, 0, 2, -4, -104 in increasing order.\nAnswer: -104, -4, 0, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**28\/c)\/c**(-29))\/(c**7)**43 assuming c is positive.\nAnswer: c**(-245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 3 - 2*q**2 - 3. Let t(u) = u**3 - 6*u**2 - u + 8. Let x be t(6). Let k(i) = 2*i**2 + i**2 - 3*i**2 - 2*i**x. What is p(k(v))?\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g + 1\/2*g**2 - 1\/2*g**3 + 0 = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (3 - 2)\/((-1)\/3). Let l be 1\/h*(1 + -1). Solve -q - 3*w + 16 = l, -6*w + w + 20 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**2 - 11*y + 17. Let m be z(-12). Let t(x) = -7*x**2 + 2*x + 2. Let j(k) = -4*k**2 + k + 1. Determine m*j(o) - 3*t(o).\nAnswer: o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2 + -13068262?\nAnswer: -13068260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 2*a**2 + a**3 - 6 - a + 8 + 0. Suppose 0 = -5*n + 20, 2*y = 3*y + n - 2. Let i be z(y). Solve 4*o - i*v = 12, -4*o - o - 4*v - 30 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 317, 6, -4737 in increasing order.\nAnswer: -4737, 6, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 10 + 0 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1099956208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*(sqrt(315)*1 - sqrt(315)))\/sqrt(7))\/((6*(sqrt(81) - sqrt(81)*-2))\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n be 18*6\/(-24) - -5. Which is the fourth biggest value? (a) 46 (b) -0.5 (c) -0.3 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/23)\/(18*(-18)\/1296)?\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 33966, 67983, 102168, 136605, 171378, 206571, 242268, 278553?\nAnswer: 315510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes before 5:54 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*p**2 - 2*p**6 + 106*p**3 - 2*p**2 - 373 + 300 wrt p?\nAnswer: -240*p**3 + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 507 = 16*l - 1253. Let p be 11\/(l\/8)*5. Solve 0*g - 4*n - 24 = 4*g, -2*n + p = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.4 and -972?\nAnswer: 388.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -87 + 82. Let i be 8\/12*-3 - (a + -1). Suppose -248 = -i*n + 5*g, -4*n + 186 = -n + 5*g. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/(b\/b**(-2\/15)))**1*b**(-6)*b**(1\/6)\/b)**(1\/46) assuming b is positive.\nAnswer: b**(-209\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -19416, -19419, -19432, -19461, -19512, -19591, -19704, -19857?\nAnswer: -20056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (-3 + 6) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l - 312 + 3597. Suppose 6429 = -0*w + 3*w. Let q = l + w. Round q to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 = q + 3*j, -5*q - j = 101 - 99 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -12, -2161, 1\/3 in increasing order.\nAnswer: -2161, -12, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3 and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 38*m**3 + 1620*m**2 - 606*m - 60. Calculate n(-43).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -30 times 5\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the third derivative of 1\/30*u**5 + 0 + 11\/24*u**4 - 280*u**2 + 0*u + 5\/3*u**3. Calculate a(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that 2*s**5\/11 + 100*s**4\/11 - 6522*s**3\/11 - 45340*s**2\/11 + 278800*s\/11 = 0.\nAnswer: -85, -10, 0, 4, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = -7*p + 3*p - 25, 15 = -5*m - 2*p. Suppose 20 = 5*d, -5*s + 21 = 18*d - 14*d. Put m, s, -5 in ascending order.\nAnswer: -5, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1101111222 - 200?\nAnswer: -1101112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - 1 - (-7 + 4 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -99323, -198779, -298235, -397691?\n\"Answer: -99456*d + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is (0 + -1 - 0) + (23 - 24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (27 - 27 + 13*x + (2 + 2 - 1)*(-6*x + x + 4*x) + 0*x - 5*x - 7*x)*(2*x - x + 3*x)*(0 - 1 + 0).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, -15, -372 in descending order.\nAnswer: 13, -15, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2.3216 - -0.6784. Sort -4, 15, n, 5.\nAnswer: -4, n, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -210 - -858. Let y = 663 - p. Solve 4*v + y = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 - -22741590?\nAnswer: 22741595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 1061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 1465754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5 - -4.7. Suppose v = -2*v + a + 14, 4 = -v - 4*a. Suppose w = x + v*w - 7, 0 = -2*w + 4. What is the third smallest value in x, i, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1059 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*w - 6 = 66. Solve -2*g - w + 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -28*x - 27*x - 9*x - 108*x + 8944 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 - 2\/4*(-24 - -22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) -164\/5 (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*a - 23*a + 19*n = 6*a + 20*n + 153, 4*a + 46 = -3*n - 0*n for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -27 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -42*x. Let q(y) = -y**2. Give q(w(g)).\nAnswer: -1764*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply 6102 and 5.\nAnswer: 30510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(2\/4)*(-44)\/88.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z**2 + z**2 - 7*z + 0*z**2 - 5 - z**2. Let m be g(-4). Suppose -t - 4 + m = 0. What is the biggest value in t, -5, 3\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 395022?\nAnswer: 2, 3, 65837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0.3, 106, 3 in decreasing order.\nAnswer: 106, 4, 3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-28 + 78 + 74)*(7*v - 2*v + 2*v)*(-22*v - v + 0*v) to i*v + y + j*v**2 and give j.\nAnswer: -19964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 208066 - 208066 + 85*z**2.\nAnswer: 85*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 0*q + 3 = -3*i, 4*q = -2*i + 28. Suppose a = 2 - i. Suppose -13*x = 5*x + 90. Sort a, x, 4.\nAnswer: x, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -65*r + 125 = 775 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-23)\/3 - (-14 - -9))*((-1430)\/104 + 7).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 31245269*u**3 - 7*u**2 - 1237690*u wrt u.\nAnswer: 187471614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -429, -430, -433, -438, -445, -454?\n\"Answer: -y**2 + 2*y - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 40 minutes before 2:56 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -1209698 divided by 455\nAnswer: -172814\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1 - (-10)\/(-4))*110\/(-33). Let j be 2 + (i\/(-10) - (-535)\/2). Suppose -3*c = 4*g - 347, j = 2*c - 4*g + 31. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 0.1 (c) 4 (d) -18 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -19*d + 33. Let m be v(6). Let q = 84 + m. Solve 4*z = 2*z - 2*g, 2*z - 5 = -q*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b - 11. Let n(s) = 1 - 4 - 3 + 4. Let g(l) = 22*n(l) - 4*w(l). Let a(r) = 2*r. Determine g(a(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3366750371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i. Let h(y) = -13 + 1 + 6 + 4. Suppose x - 2*w - 3 = 0, 2*x + w = 2*w + 3. Calculate x*h(n) + 2*c(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ssssrysccsyccssyrsrr. What is prob of picking 3 y and 1 c?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwwouzuwnwnnnlnnulwl. Give prob of picking 1 o and 2 u.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*p + 2*q = 27*p - 2, 35 = -5*p - 3*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-30 + 14 - 13) + 15 - (-1 - -46).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 424 is divided by 74.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 4124969.58 to the nearest one thousand.\nAnswer: 4125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = -61\/13 - -5\/26. Sort -6, -0.4, a in ascending order.\nAnswer: -6, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3 - 35201513?\nAnswer: -35201520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9 + 42*a - 9.\nAnswer: 42*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -11 - 12*q**3 + 4*q**2 + 11 wrt q.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-336)\/(-10584) + (-1)\/(-9).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36200101 is divided by 1817?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 71653607 is divided by 117?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -7, 4\/129, 4, 1\/2 in decreasing order.\nAnswer: 4, 1\/2, 4\/129, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10)\/(-25))\/((-18)\/225*-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3012 + 3007. What is the smallest value in -0.13, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -16\/5 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 150 - 54 = -8*l. Let f(r) = -4*r**2 + 3*r**2 + 11*r + 2*r**2 + 11. What are the prime factors of f(l)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 13 or 40135153?\nAnswer: 40135153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.2, -0.1, -3\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -19903*a + 19934*a = -899 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o + 5*a + 93 - 55 = 0, -4*o + 3*a + 25 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(5) - (3 + (sqrt(5) - sqrt(20))) - (sqrt(5) - ((sqrt(60) + (sqrt(60) - sqrt(240)\/sqrt(4)))\/sqrt(12) + sqrt(5)))))**2.\nAnswer: -72*sqrt(5) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 16650 and 27259380.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -n**2 + 6*n - 8. Let v = -1007 + 1015. Determine f(v).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1206 < 26848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 34*d + 2*d**3 - 2 + 41*d + d**2 - 30*d + 2*d**2 - d**3 in the form o*d + q*d**2 + l + p*d**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.2 - -0.3. Let k = -9.7 - 3.3. Let x = -12.8 - k. Which is the nearest to 0? (a) 0 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-48)\/380)\/(-3))\/(2800\/(-8750))*1\/(-15)?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -j**3 + 2*j**3 - 2*j**3 + (-2*j - 2*j**2 + 2*j)*(2*j - j - 3*j) - 143*j**2 - 193*j**2 + 2*j**3 - 2*j**3 - j**3.\nAnswer: 2*j**3 - 336*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 5, 3817, 90.\nAnswer: 3, 5, 90, 3817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-57)\/285*-32)\/(18\/(-5)).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 158362643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -22 + -21 + 48 + (1 - -5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -20 + 35. Suppose u = 4*p - p. Let m(q) = -18*q**2 - 44*q + 5*q**2 + 51*q. Let a(k) = -9*k**2 + 5*k. Calculate p*m(w) - 7*a(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**2\/5 + 2*b + 39\/5.\nAnswer: -(b - 13)*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the first derivative of -y**4\/4 - y**2\/2 + 2. Let b be q(-2). Suppose 37 - b = a. What is the remainder when a is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4411 is divided by 489?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/8, 5, 49, 1, 3.7 in increasing order.\nAnswer: -1\/8, 1, 3.7, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the third derivative of -u**4\/24 + 19*u**2. Let f(l) = 12*l**2 - 9. Let s(i) = 3*i**2 - 2. Let r(v) = 2*f(v) - 9*s(v). Give a(r(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111001100 + 101110001000?\nAnswer: 110101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4 - 7. Let k = -22 - -26. Which is the nearest to 1? (a) y (b) k (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 378768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q be (4\/(-8))\/(-18*7\/(-84) - 3). Factor 1\/3*o**2 + q*o + 0.\nAnswer: o*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 64987846 to the power of 1\/2, to the nearest integer?\nAnswer: 8062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1.09585 + -0.09585. Is 496.5 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -54, -4, -389 in descending order.\nAnswer: -4, -54, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 60 = 4*q, 0*q + 10 = q + 5*c. Let b be (34\/8)\/((-2)\/(-8)). Let v = q + b. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -10 - -41. Let y(l) = 6*l - 60. What is the tens digit of y(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1055.54 times 0.238?\nAnswer: -251.21852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 34 + -31. What is the fourth biggest value in 2, 2\/7, t, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 8\/(-40) + (-904)\/80. Sort -5\/2, -0.4, c.\nAnswer: c, -5\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43745 is divided by 134.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 22481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 5*t = -53 - 6, 0 = u + 2*t - 29. Calculate the remainder when 107 is divided by u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -65.6940221 rounded to 0 decimal places?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 1135.016*141\nAnswer: 160037.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.1, -80, -2, -0.1, -6\/5437?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*18.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2018770, 2018638, 2018506, 2018374, 2018242?\nAnswer: 2018110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4858433 is divided by 694037?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55*c + 53*c = 84. Let j = 68 + c. Calculate the remainder when j is divided by (-1)\/2*(2 + -20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 56547174 to the nearest ten thousand.\nAnswer: 56550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = -246 - -365. List the prime factors of j.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 22 - 20. Solve -2*m = -2*p + 8, 0 = 3*p + 3*m + d - 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 34653383?\nAnswer: 331, 104693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 3 + 3 - 2 - 3 + 3 + (1 - 1 - 2)*(1 - 1 + 2) + 2 - 2 + 1 + 5 + 7 + 4)*(w + 2*w - 5*w) in the form t + g*w and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -28078*h + 28170*h + 6624 for h.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*f = 112, 4*p = -5*f + 206 - 187 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 610 minutes after 5:15 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and 1\/4062175 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 362 a factor of 731750782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0 - 2. Suppose -3*p - 15 = -5*t, -4*p - 4 = -4*t + 8. Let n be l\/(-4)*(t + 1). Solve -n*b + 3*o - o = -10, -4*b - 5*o + 20 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 4872 = 5*t. Suppose -2*n + t = -1188. Suppose 11984 = 4*d + 3*a, -d = -3*a - 2011 - n. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**2 + 13*d - 21. Let z be w(5). Let m = 3 + z. What is the least common multiple of 2 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that -4*l**3 + 57708*l**2 + 13900528*l + 13842816 = 0.\nAnswer: -236, -1, 14664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1 - 3 - 124\/(-4). Let l = r - 31. Let w be (l + 3)*(-2 - (-8)\/(-4)). Solve 10 = 2*g - w*t - 2, 4*g = -t - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4540 is divided by 725.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -313, -345, -407, -505, -645?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - 144\/(-32))\/((-1)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 42 and 53285379?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -157164?\nAnswer: -1\/78582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**3 - 2*s**2 - 2*s. Let a(c) = -3*c**3 + 6*c**2 + 5*c. Let p be (-4)\/10 - (-2)\/5. Suppose 3*l - 39 = 3*r - p, r + 33 = 5*l. Give r*h(f) - 3*a(f).\nAnswer: f**3 - 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is u in u**4\/5 + 23*u**3\/5 + 37*u**2\/5 - 111*u\/5 - 126\/5 = 0?\nAnswer: -21, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + 0\/(5 - 8) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 - ((-11 - (-28 + 15 + 0)) + 24).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j = 3*c, 0 = 6*j - 4*j - 5*c + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1 + -1.1. Let g = 0.44 + -0.14. Which is the second biggest value? (a) g (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 39481 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 773\/828 (b) 2\/19 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the third derivative of 49*h**4\/8 - 33*h**2 - 2. Let n(m) = 4 + 17*m**2 - 4 + 14*m**2 - 34*m**2. What is n(s(f))?\nAnswer: -64827*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 10.795887 rounded to 2 dps?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 4 = 1. Let y = 7 - g. Suppose 0 = 4*k - 0*k - 3*j - 91, 5*j = 4*k - 85. Solve y*x - x = k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -2*i - 9. Let z(l) = l**3 + l**2 + l. Let w be z(-2). Let a be p(w). Let g be 4 - (11 - a)\/(-4). Do g and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -5614, -5357, -5108, -4873, -4658, -4469?\n\"Answer: -y**3 + 2*y**2 + 258*y - 5873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(1900) + (-1 + 0 + sqrt(1900))**2 + sqrt(1900) + sqrt(1900) + (sqrt(1900)*-1 - sqrt(1900)) + -5 - (sqrt(171)*-1*2)\/(sqrt(9) - 3*sqrt(576)).\nAnswer: -232*sqrt(19)\/23 + 1893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3 + sqrt(343) + 4)*-6)**2 + ((sqrt(84)\/sqrt(3))\/sqrt(4))**2 + (sqrt(7) - (2 + sqrt(7))*-4) + sqrt(7) + -1.\nAnswer: 510*sqrt(7) + 12398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the second derivative of 49*a**4\/12 - 17*a**3\/3 + 5*a**2\/2 + 125*a. What is the units digit of q(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 81 + 67. Suppose 0 = w - 145 - l. Suppose 3*b + 5 = w. What is the greatest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.5 (b) -16\/7 (c) 28 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-2))**(7\/5)\/(b*b*b**(1\/2))**(1\/39) assuming b is positive.\nAnswer: b**(-1117\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.3 and 0.12434.\nAnswer: -0.17566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7861434*h**2*m**3*q**2 + h*m**3*q**2 + 7022*h*m**3 + 36*h*m**2*q**2 - 2*h*m - h + 2*m**3*q + 2*m*q**2 wrt h?\nAnswer: 15722868*m**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 2*b = 5, 2*o - 3*b = 9 + 3. Let x(t) = -4*t. Let r(w) = 3*w - 8. Let y(k) = k - 3. Let q(g) = 3*r(g) - 8*y(g). Give o*q(z) + x(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -6 - -34?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -14505, 4.\nAnswer: -14505, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1110 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z + 5*t = -z, 0 = 2*z + t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1 - -1 - 8\/((-8)\/63). Let o = -76 + t. Put 0, -5, o in increasing order.\nAnswer: o, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:28 AM and 3:15 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 12*u + 1. Calculate o(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -106, -239, -396, -577, -782, -1011?\nAnswer: -1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 367*b*w**3 + 3*b*w**2 - 2*b*w - w**3 + 12*w + 16 wrt w.\nAnswer: 2202*b*w + 6*b - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that -7*p**4 + 2382*p**3\/5 + 4729*p**2\/5 + 2172*p\/5 - 28 = 0.\nAnswer: -1, 2\/35, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -2*b - 22. Suppose -4*t + 21 = 69. Let h be c(t). Differentiate -10*q**2 - 23 - h*q**2 + 5*q**2 + 0*q**2 wrt q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -8 + 10. Suppose 9 = -2*k + 25. Suppose 3*y = y + 8. Solve -2*g = 3*a - y*a - k, -z*a - 4 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -885 = -38*l - 2063 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -263423944.5672672986805 - -201.5672569986805. Let h = 263423756 + m. Let z = -13 + h. What is z rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 119 - 117. Suppose -15 = 5*c + 5*y, 4*c - 4*y = 2*c + 18. Suppose c - g = r. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1 - -5325304?\nAnswer: 5325305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/4, 3, 1\/2, 3\/4, -4\/89?\nAnswer: -4\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -96 + 95. What is the fourth biggest value in 5, h, -3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 65520962 and 78.\nAnswer: 196562886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -131352 (base 6) to base 14.\nAnswer: -4548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -4*q**2 - 196*q - 1398. Calculate y(-7).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -60*g**3 - 2*g + 3. Is m(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6)\/5*(-10)\/(-3). Let j = -422 - -4632\/11. Let x = j + -58\/33. Are r and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (9 - 9999*j + 5093*j + 5060*j)*(0*j + j - 3*j) in the form f*j + l + c*j**2 and give c.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*r + 144*r - 326738 = 808637. What are the prime factors of r?\nAnswer: 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -9 in -9, -5, -0.17, -1\/4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r**2 - 24*r - 7. What is the hundreds digit of g(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -151, -8, 1, 0 in decreasing order.\nAnswer: 1, 0, -8, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(1\/10)*v**45)**24 assuming v is positive.\nAnswer: v**(5412\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -4 + -61?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*j - 4*j - 1044. What is the tens digit of j\/((-6)\/(-6)) - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zf when two letters picked without replacement from {c: 1, z: 1, j: 1, f: 3, b: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that h**3\/4 - 1737*h**2\/2 + 13803*h\/4 + 133595\/2 = 0.\nAnswer: -7, 11, 3470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -71, -70, -16, 30 in descending order.\nAnswer: 30, -16, -70, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -21*g**3 - g - 1. Suppose -1 = -5*s + 9. Suppose -2*z = 2*z + s*t + 14, 8 = 2*z - 2*t. Is c(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 2*z**2. Let j = 8 - 6. Let n(s) = 4 + j*s - 4 + 4*s. Give n(p(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y\/(y**1*y))\/(y*y\/(y**(5\/3)\/y)*y))\/(y**(-1\/18)\/(y\/(y**(-7)\/y*y))) assuming y is positive.\nAnswer: y**(103\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -18895*y + 207847. What is h(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-381)\/(-10))\/((-216)\/120*-2) and -5\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-8 - -4) + (-23154)\/(-2). Let k = n + -3970. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2233*f**2 + 28 - 60*f**2 - 24.\nAnswer: 2173*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 65*u - 28*u - 5*c = 33*u - 87, 9 = 3*c for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from adadddkdkdfd. What is prob of picking 1 a and 1 f?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2 + -13 + (-24)\/(-14) + 7. Let v be (1 - 4)*5\/(-150). What is the nearest to 0.1 in -2\/5, -4, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*g + 3*g = s - 4, -4*g = -s + 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i**3 + 11*i**2 + 14*i - 17. Let z be g(-8). Let n be z\/(-14)*-1*(-6)\/(-9). Solve n*x + m = -12, 0 = 2*m + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence psss when four letters picked without replacement from ssssspssssss.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the third derivative of 0*b**3 + 1\/252*b**8 + 12*b**2 + 4\/315*b**7 + 0 - 4\/45*b**5 - 1\/30*b**6 + 2\/9*b**4 + 0*b. Let d(s) = 0. What is s?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -b - 6, -r - 3 = -b - 81. What is the biggest value in r, -1\/5, -1\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -27\/394 and -87\/16.\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -267*p - 11201. What is b(-42)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 121*z - 814341 = 1196558. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00070476923 rounded to 6 decimal places?\nAnswer: -0.000705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -14 (b) 8268 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 7*z - 329. Determine o(49).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 25 - 14. What is the common denominator of -13\/16 and (-2)\/r + (-6744)\/176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 168543?\nAnswer: 3, 61, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2351539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = -50 + 104. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7 - -7. Let a be -2 + c\/(-2 - -4). Solve -5*f + 10 = -a*p, -f - p = 4*f - 28 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 48 and 1616?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4912)\/(-3070)*6\/16)\/((-72)\/(-5))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 202.5 + -202. Let n = -34 - -34. Which is the closest to -0.4? (a) k (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2 - 12\/(-5))*10. Factor q + q**r - 3*q**3 + q**3 - q**2 + q**3.\nAnswer: q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(252) + -1).\nAnswer: -30*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 584 - 4087\/7. Which is the closest to -0.1? (a) -3 (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -2*k**3 - 19*k**2 + 9*k - 12. Let p be j(-10). Let i = 17\/4 - 5. Which is the third biggest value? (a) i (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -4*p**2 - 11*p + 16. Let g(x) = -x**2 - 4*x + 5. Let w(c) = -2*a(c) + 7*g(c). Let r = -7 + 10. Suppose -5*z = -2*z - 4*s - 22, -r*s = 12. Give w(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -5881 smaller than -5880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 214192252.\nAnswer: 2, 53548063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -7*k - 13. Let g be p(-4). Suppose 1 = g*s - 14. Calculate the greatest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from zrbrrcozbbbborbbobb.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 944.3235 hours to nanoseconds.\nAnswer: 3399564600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 15\/32, -1\/4, -6 in increasing order.\nAnswer: -6, -4, -1\/4, 15\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 603487 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 116 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1.9 rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2*(-3)\/8)\/((-4)\/(-16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 11 + 45?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 155298 >= 155047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*n**3 + 4*n**3 - 7*n**2 - 4*n**2 + 9*n**3.\nAnswer: 4*n**3 - 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = 145 + -136. Let f(l) = -22 + x + 4 + 3*l + 8. What is f(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 16*s - 36. Let b(g) = -3*g + 7. Let a(x) = 11*b(x) + 2*z(x). Suppose 40*h - 5*i - 3 = 44*h, 15 = 3*h - 2*i. What is a(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (0 - (-35)\/15)\/((-42)\/(-108)) and (4\/(-6))\/((-1)\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 25*r - 70. List the prime factors of b(7).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 2*m**2 + 3*m - 27. Let w(b) = b**3 - 3*b**2 + 8*b - 13. Let a be w(3). What is the remainder when j(a) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(156)*-3 - sqrt(156)*2*-3)\/((sqrt(36)\/sqrt(3)*-4 - (sqrt(12) - sqrt(132)\/sqrt(176)))*-1) + -2.\nAnswer: -2 + 60*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that 2*v**3\/17 - 14002286*v**2\/17 + 1441646744240*v + 1441647567904 = 0.\nAnswer: -1, 3500572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-1)\/g)**(-17)\/(g**(-2\/7))**42)**(-2\/23) assuming g is positive.\nAnswer: g**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 61, 118, 175, 232, 289, 346?\n\"Answer: 57*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that 8\/13 - 18\/13*q**4 - 14\/13*q**2 + 24\/13*q - 48\/13*q**3 = 0.\nAnswer: -2, -1, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 316364.7 millennia in months?\nAnswer: 3796376400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 3714e (base 15) to base 7.\nAnswer: 1331351","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Do -88510898 and -88510898 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*-3*2*((sqrt(448) - sqrt(448)*-2)**2*-5 + sqrt(448)) + -1.\nAnswer: -725761 + 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1231 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {h: 4, p: 6, g: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:59 PM and 7:16 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -21 divided by -63\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p be (324\/972)\/(2\/162). Let z(j) = j**3 + 7*j**2 + 5*j - 5. Let q be z(-6). Let b be 0\/(2\/q) - -7. Solve -5*g - p = -b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(140)*-1)\/(sqrt(56)\/sqrt(288)*-5).\nAnswer: -48*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 134843994 to the power of 1\/3, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 1 u, and 1 y when three letters picked without replacement from {u: 1, g: 5, y: 1, k: 2, p: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -95\/2478 and -97\/4602.\nAnswer: 32214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o = m - 2, 4*m = -m - 3*o - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-21)\/((-231)\/2)*1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -3438*z - 882. Does 36 divide i(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Total of 154 and -3912086.\nAnswer: -3911932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 21653, 43359, 65061, 86759, 108453?\nAnswer: 130143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 579111 is divided by 626?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 9*m**3 - m**2 - 4. Let c(u) = -4*u**3 + u**2 + 2. What is -2*b(z) - 5*c(z)?\nAnswer: 2*z**3 - 3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 87.2 - 83.389. Round x to 1 dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 4 = s - 0*o, 0 = -2*o + 4. Sort -2, -20, s in decreasing order.\nAnswer: s, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -10*j**2 - 161*j - 3. Let w(y) = 132*y**2 + 2092*y + 40. Give -40*f(c) - 3*w(c).\nAnswer: 4*c**2 + 164*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 6, z: 2, q: 3, c: 1}. Give prob of picking 1 c and 1 z.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 10 - (7 + -37 - -20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1845 is divided by 187.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -32.1551 - 39160?\nAnswer: -39192.1551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-7)\/(-14)*-44 - (1 + -2). Which is the biggest value? (a) -1 (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-i + 3*i**2 - 2*i**2 + 4 + 2*i)*(449 - 449 + 170*i) + 40*i**2 - 3*i**3 - 40*i**2.\nAnswer: 167*i**3 + 170*i**2 + 680*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cll when three letters picked without replacement from {d: 1, l: 2, a: 1, c: 1, z: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2.6? (a) 315 (b) -4 (c) 1.5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -q**3 + 4*q**2 - 1. Let x(p) = 3*p - 13. Let g be x(5). What are the prime factors of j(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 5*y = 18, 3*n - 3*y + 2*y - 14 = 0. Solve g - n*p + 2 = 0, 4*p = 2*g + 2*p - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 84456816 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -34*b**3 - 543*b**2 + 17*b + 22. Let h be g(-16). Solve h*j - 186 = -162 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 705 minutes before 1:29 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n, 1 q, and 1 t when three letters picked without replacement from eanjjnnejteqqq.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-7)\/2*2\/(-12). Let l = 5519 + -5519. Which is smaller: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/(-4))\/5*(-2 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 86210000 to the nearest one million.\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12824 - -256359\/20. Find the common denominator of -1 - 3\/((-84)\/(-82)) and n.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -185, -184, -183?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n = -5*z + 59, 3*n - 3803 = z - 3706 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:07 PM and 9:47 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) be the first derivative of 3*w + 0*w**3 + 1\/30*w**6 - 2*w**2 + 4 + 0*w**5 + 0*w**4. Let q(z) be the first derivative of s(z). Differentiate q(f) wrt f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-5 + 5 - 2*v)*(-52 - 123 + 42)*(10 - 6 + 4) + 1 - 1 + 2*v)*(-3 + 0 + 4)*(2 - 2 - 2*v) to the form u*v + w + z*v**2 and give z.\nAnswer: -4260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t**2 + 7*t + 5. Let u be h(7). Suppose 0 = -u*v + 7*v. Solve 10 = -5*g - v*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*l - 19*l + 19*l**3 + 3*l**2 + 9*l to the form x + u*l**2 + m*l**3 + d*l and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2.1 - 0.1. Which is the nearest to 4\/9? (a) 0.4 (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 2*t**3 - 21*t**2 + 55*t - 430. Let k be x(10). Solve -2*q - y + 8 = 0, -2*q + 25*y - k*y - 16 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3282239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 215 times 4391.9\nAnswer: 944258.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -8 + 6. Let h = 1.9 + z. Let n = -0.66 - 2.34. Which is the second smallest value? (a) h (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*x + 5146 - 1064. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 641047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 108902851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3962276?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + (-15 - -20 - (1 - -12))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 8 = -2*h. Let o = 912 - 911. What is the highest common factor of h and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve o = -4*j - 23, -374*o - 2*j + 2 = -378*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-213)\/(-1917)*27\/(-45)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((sqrt(180) + 2)**2 + -2).\nAnswer: 144*sqrt(5) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -i + 1. Suppose -3*n + 6 = -12. Calculate the remainder when n is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide ((8880\/25)\/(-2))\/(-2 - 1043\/(-525))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 91, 83, 61, 19, -49, -149, -287?\n\"Answer: -o**3 - o**2 + 2*o + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 4, -19, -58, -113, -184?\n\"Answer: -8*o**2 + o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*h**5*w - 86*h**5 - 7*h**2*w - 11*h**2 + 2*w wrt h.\nAnswer: -120*h**2*w - 5160*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3730 + 100699\/27. Let t = 68 - 38. Find the common denominator of (2\/t)\/((-3)\/(-147)) and q.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -10 - -23. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*-9.39.\nAnswer: -37.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 30.85 + -31.25. What is the nearest to -1 in 1\/14, z, -239?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29*q - 44*q + 21*q - 54 + 25 + 27.\nAnswer: -52*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**3 + 6*p**2 - 8.\nAnswer: -2*(p - 2)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 8785575 and 225?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10965 and 1785?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Do 1 and -1705 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 8) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3)\/6 - (-26)\/4. Let m = j - 5. What is the smallest value in m, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*x**2 + 8*x**2 - x**2)*(-2 + 4 - 4 + (-1 + 0 + 2)*(-2 - 2 + 5) - 1 - 1 + 4) to n*x + k + u*x**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 36 - (-16 - (16 + -41 + 25))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 81407\/762*45\/2*40\/2.\nAnswer: 3, 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**2 + 9*y - 23. Let l be i(-11). Let a be 14 - ((-5)\/(-5) + l). Let q be (7\/a)\/((-2)\/(-8)). Solve u - 15 = -q*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 944525969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/(-14)*168\/72.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -755*f - 3554*f + 1200*f - 4731*f.\nAnswer: -7840*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c - x = 95, 9*c - 135589*x = -135591*x - 266 - 14 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 3 = 1. Let n(x) be the third derivative of -93750*x**4 + x**2. Let t be n(r). Round t to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -1.4, -22\/7, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -103492867 plus 1652110?\nAnswer: -101840757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 32, 36, 48, 74, 120?\n\"Answer: l**3 - 2*l**2 + 3*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 14*d = -19*d - 1, 5*c + d = 43. Suppose -2*n + 504 = 5*n. What is the highest common divisor of n and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 4*u**2 + 62*u - 33*u - u**3 - 24*u + 1. Calculate the remainder when z(4) is divided by (-11 - 0)*(-3)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 3*k + 13. Let w be p(-10). Let y = -11 - w. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11 - -526695611879?\nAnswer: 526695611868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -17.532 and -0.3?\nAnswer: 5.2596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-22 + (-18)\/(-3))\/(-4). Solve 4 = l*i, -y + 17 = -2*i + 16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 19 in 170, -1\/8, -18490?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -5*m + 59. Let j be z(11). Find the third derivative of 4*q**j + 0*q**4 - 7*q**2 - 11*q**3 + 18*q**3 wrt q.\nAnswer: 96*q + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y - 19. Calculate i(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -710*4\nAnswer: -2840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3229035\/73 > 44232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.189127 micrometers to kilometers.\nAnswer: 0.000000007189127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -39\/1083557 or 1?\nAnswer: -39\/1083557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*d**6 + 216*d**5 - 22*d**3 + 15619*d**2 wrt d.\nAnswer: -240*d**3 + 12960*d**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (3931 - 3927) + 27 + (0 - 1)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be 8\/(-44) - 392\/22. Let c = s + 45. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -2*b**2 - 6*b + 2. Calculate j(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1, -0.1, -8, 9.8, 2\/21?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -801 divided by -267?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 421332?\nAnswer: 2, 3, 35111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -3e (base 16) in base 15?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**3\/9 - 4*o**2\/9 + 16*o\/9.\nAnswer: -2*o*(o - 2)*(o + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 93*n - 3588 - 29892 = 0. Calculate the remainder when n is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 501?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 581 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n**2 + 13*n + 16. Let t be f(-12). Suppose r - 4*l - 3 = 0, -t*r - 4*l = -7 - 5. Solve r*y - 9 = -0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g + 0*a - 3*a + 7 + 12 = -1, -5*g - 4*a - 4 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10477012 + -10477012.08740769. Let i = -0.0874 - d. What is i rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 490662.\nAnswer: 2, 3, 27259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -27264230 minus -15?\nAnswer: -27264215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2*k**3 + 0)*(-84*k + 84*k - 7*k**2)*(-34 + 19 - 35).\nAnswer: -700*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 14, -43, 3 in ascending order.\nAnswer: -43, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 103 divided by 103?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 7.455275 decades in years?\nAnswer: 74.55275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -353*a = -351*a - 1592. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-66)\/99*12\/(-32)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the third derivative of -5*v**2 + 0 + 1\/9*v**5 - 13\/18*v**4 + 0*v - 4\/3*v**3. Factor j(i).\nAnswer: 4*(i - 3)*(5*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(17) - (sqrt(17) + sqrt(51)\/sqrt(3)*-2)))**2.\nAnswer: 20*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**3 + 1434*z**2 + 257760*z + 256328.\nAnswer: 2*(z + 1)*(z + 358)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 554570 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*y - 5*y + 4*y)*(5*y + 8*y + 9 - 17*y) + 5*y**2 - 4*y**2 + y**2.\nAnswer: -6*y**2 + 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c**3 + 2552*c**2 - 5092*c + 2544 = 0.\nAnswer: 1, 636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 500299 is divided by 1158.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2459*t - 2452*t - 2448*t + 12272*t - 2462*t - 2450*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -724*m + 20 = -719*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (265\/(-1113))\/((-3)\/9).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**3 - 2*z**2 - z - 106. Let x be g(0). Is x != -108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 700 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10 - 7) + -4 - -1 - -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 419871 * -84.\nAnswer: -35269164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = 10 - 9.9. Sort 5, 1, a in ascending order.\nAnswer: a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -34081, -34051, -34021, -33991, -33961, -33931?\n\"Answer: 30*j - 34111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 418236649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 5622 and 16?\nAnswer: 44976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 572289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(684) + -2*sqrt(684)*3)**2*2.\nAnswer: -102600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 34 and 2749206.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v**4 - 58*v**3 - 3906*v**2 + 58*v + 3904 = 0. What is v?\nAnswer: -32, -1, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 22 - 17. Suppose 0 = -6*v + v + m. Suppose 7 = n + v. What is the remainder when 40 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (6 + -4)\/(1\/(-3)). Let k be (2\/(-4) - 1)*f. Let w be 1\/2 + k\/2. Put w, 0.6, 0.4 in decreasing order.\nAnswer: w, 0.6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the first derivative of 19*t**2 + 43*t + 9. Is y(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 16*a**4 - 3*a**4 - 2*a**4 + (-122 + 122 + 36*a**3)*(-6*a + 8*a + 2*a).\nAnswer: 155*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -48 + 47.9882. Let m = s - 0.2882. Let c = 3.3 + -3. Sort 5\/2, c, m, -8 in increasing order.\nAnswer: -8, m, c, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-8)*(-4)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 1414*d**2 - 14*d + 23. Let b(t) = -471*t**2 + 4*t - 6. Give -7*b(n) - 2*x(n).\nAnswer: 469*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -2\/13 (b) 3\/35 (c) 880 (d) 426\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 215897 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2619471563 to the power of 1\/2, to the nearest integer?\nAnswer: 51181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -3*q + 16. Let t be s(3). Suppose t*a - 141 = 188. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 620 minutes after 9:12 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*v + 3 - 3)*((-v - v + 4*v)*(0 - 3 + 6) + v + 2 - 2 + (-2*v - 2 + 2)*(2 - 3 + 2) - v - 1 + 1).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -2*b**3 - 28*b**2 + 63*b + 98. What is d(-15)?\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 79, -62, 34, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 417 divide 3533658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*d**3\/3 + 65*d**2 + 1870*d\/3 + 560.\nAnswer: 5*(d + 1)*(d + 14)*(d + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6317016865 to the nearest integer?\nAnswer: 79480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 26 + ((-40)\/(-2) - (-110 - -165)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = 3*c + 5. Suppose 4*a - p - 18 = p, c*a - 4*p - 30 = 0. Suppose -32 = -59*h + 7*h + 20*h. Solve 3 = a*q - h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1002414 - -2?\nAnswer: -1002412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -5 plus 36.81963994?\nAnswer: 31.81963994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**(-8)*((l**(-1\/4)\/l)\/l)\/l)\/((l*l*l\/l**(-12))\/((l**(-2\/3)\/l)\/l)) assuming l is positive.\nAnswer: l**(-335\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 13*k**3 + 6*k**2 - 6*k - 10. Let i(s) = 28*s**3 + 13*s**2 - 12*s - 21. Let t(a) = -13*d(a) + 6*i(a). Give t(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*p**3 - 3292*p**2 - 3430*p**2 + 6722*p**2.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -31abd (base 16) in base 5?\nAnswer: -23002303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*y + 6*k - 438 = -7*y, -8*k = -465*y + 470*y - 584 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -33*u**4 - 11*u**4 + 3*u**4 + (-6*u**2 + 5*u**3 + 6*u**2)*(-3*u + 0*u + 4*u) + 6*u**4 - 4*u**4 - u**4.\nAnswer: -35*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -118, -129, -136, -139, -138, -133, -124?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**9\/m*m**(-4\/11))\/(m**(-2\/7)*m\/(m\/(m*m*m\/(m**(-8)*m)))))**(-47) assuming m is positive.\nAnswer: m**(7520\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 2*h + 18 = 0, 4*n = -h - 1 + 27. Let a = n - 7. Suppose 3*p - 66 - 42 = a. Calculate the highest common divisor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2666944 to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 14 and ((-12)\/16)\/((-1)\/16).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -2, -7.89.\nAnswer: -7.89, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -168*r - 1 + 164*r + 3 - 2.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r - 7*r + 5340000. Suppose 2*b - r = 3*b. What is b rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 192971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-30)\/165 - 258628\/(-99). Let n = -2605 + m. What is the common denominator of n and -115\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = 3*i + 17, -2*g + 27*i + 13 = 28*i. Put -5, -2, g, -4 in decreasing order.\nAnswer: g, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 476? (a) -0.3 (b) 0.081 (c) -1\/2 (d) 2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 662 minutes after 2:07 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mf when two letters picked without replacement from vevcfmgvmcfc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -15 - -8. Let w = 7.000205 + z. Round w to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 796921 is divided by 334?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x**3 - 5*x**2 - 6*x - 5. Let m be k(6). Let y = 0 - m. Suppose 3*t = 3*p + t - 32, -y*p + 3*t + 52 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 53.946 and -0.7?\nAnswer: -37.7622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -75, -4 in increasing order.\nAnswer: -75, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l - 0*x + x, 0 = 2*l + 3*x. Solve 3*k = -9 - l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 > -18\/185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 9) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -193*d + 189*d + 260 = 0. Let a = d + -66. Which is bigger: -6\/11 or a?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.1 times 53?\nAnswer: 111.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3213*t**2 + t**3 - 2*t**3 + 10785 - 5391 - 5396 to the form r + o*t**2 + v*t**3 + g*t and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 794*o - 105*o - 249*o)*(-o - 3*o + o) in the form c*o + g*o**2 + r and give g.\nAnswer: -1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from hishhhihhshthhhh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j be 9\/(-6)*4 + 120\/8. What is the nearest to j in -1\/4, 2, -2\/7, -2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17 divided by 105060118.\nAnswer: 17\/105060118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 84*h**2 - 35*h**2 - 43*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h be 18\/(-45)*(-25)\/10. Let w(t) = 3 - h - 1 - 3*t**2. Suppose 0 = -5*d + 4*a + 15, 3*d - 4*a + 0*a = 17. Determine w(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**(-12)\/l*l)**(-23)*(l**(1\/46))**(-23))**(-1\/4) assuming l is positive.\nAnswer: l**(-505\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is v in 35*v**5 + 39630*v**4 + 11180*v**3 - 158520*v**2 - 45280*v = 0?\nAnswer: -1132, -2, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: ((-45)\/5)\/((-6)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 68 (b) 22 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1621 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 18689 less than -4.2?\nAnswer: -18693.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 30796.74 minutes?\nAnswer: 1847804400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7*c*p**2 - 11*c*p + 8*p**4 - p**2 + 2*p wrt p.\nAnswer: -14*c + 96*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/1248*13*-32*2*3\/(-552).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -42142*w + 42236*w - 83 = 669 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 - 3 + 1 + 0 + 1 + (-2 + 0 + 0)*(2 - 1 + 1) + 1 + 2 - 5)*(-p**4 + p**4 - 4*p**4).\nAnswer: 24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 5, y: 6, p: 2, q: 1, d: 3}. Give prob of picking 3 n.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 992360617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2214 and 3261714?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s + 2*h - 2 - 6, -4*h = 4*s - 16. Let n = 3 - 3.009. Let j = n - -3.709. What is the nearest to s in 1\/2, -3, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**3 - 51*i**2 - 956*i - 9220. What is y(-29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -1.49451501 minus -0.2?\nAnswer: -1.29451501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r - 5*c + 17, -3*c + 12 = -0*c. Find the common denominator of 1 - r - (-98)\/(-8) and -95\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = d - 12 - 28, 3*k = 0. Suppose -l = 3*l - d. Calculate the common denominator of 17\/7 and (8\/40)\/((-16)\/l).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 161 divided by -17676.\nAnswer: -161\/17676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 47 a factor of 6692826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 127 is divided by 50.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7855159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o be 14*(-1 + (-12)\/(-8)). Let r(t) = 2*t**2 - 5*t + 12. Let s be r(o). Let x be (s\/(-4))\/((-24)\/64). Calculate the highest common divisor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -95 - 149a?\nAnswer: -1573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (28*t + 3161*t**2 - 598*t**2 - 28*t)*(2*t - t**2 + 3 - 3) in the form y*t**2 + j*t**4 + a*t + f*t**3 + w and give j.\nAnswer: -2563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1186?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*o + 3*w - 12 = 3*o, -4*w = 3*o - 9. Suppose 0 = -0*f + 12*f - 8964. Suppose -o*z = -s + 2*z + 192, z = -4*s + f. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q**3 + 5*q**2 - q - 2. Suppose -3*z + 4*l = 15, 2*l + 15 = -3*z + 3*l. Let r be y(z). Let t = 8 - r. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vbbb when four letters picked without replacement from {v: 7, b: 12}?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -l + 6*l = 4*q + 41, -4*q - 11 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12870085?\nAnswer: 5, 61, 42197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w. Let i(v) = -8*v**2 + 3*v. Let o(r) = r. Let u(a) = i(a) - 3*o(a). What is x(u(g))?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -6229 take away 3880?\nAnswer: -10109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 20 and 1320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 1 f, 1 c, and 1 n when four letters picked without replacement from zpffcpfpnzycpnfnpp.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**3 + 5*f**2 + 64*f + 386. Determine s(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 79579594?\nAnswer: 2, 39789797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 147851387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -88*a + 21*a**2 + 122*a**2 + 82*a - 19*a**2.\nAnswer: 124*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*k - 4*s, 0 = k - s + 2 + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + 2 + (sqrt(162) + sqrt(162)*2*-3 - sqrt(162))**2 + -1 + sqrt(162) + 5)*3*1.\nAnswer: 27*sqrt(2) + 17517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -362 >= -362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -8*u. Let m(i) = i**2 - 14. Let b be m(0). Let g(z) be the third derivative of z**4\/24 - 145*z**2. Calculate b*g(v) - 2*r(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -59*m + 29*m + 31*m. Let q(y) = y + 15. What is u(q(t))?\nAnswer: t + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1070889 and 1218186.\nAnswer: 3981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 9 + 51. Suppose -4*k + 45 = -3*t, -5*t - 15 = 4*k - 68. Calculate the greatest common divisor of k and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1 + 0. Let l(q) = q**3 + 8*q**2 + 6*q + 1. Let z be l(-7). Let c be b*(z\/20)\/(-1). What is the biggest value in 2\/7, 2\/11, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47*v = 51*v + 2*n - 13766, 5*v - 17197 = n. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9 + 52*d - 9.\nAnswer: 52*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 111.6 - 112. What is the second smallest value in 6\/11, 4, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -b - 19. Let s be r(-22). Let m(y) = -3*y**3 - 22 + 3*y**3 - y**s + y**2. Calculate m(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -66010 * 18.21\nAnswer: -1202042.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 45049 is divided by 170?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 236016 by -36.\nAnswer: -6556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 559 minutes after 8:08 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in q**3 - 7*q**3 + 5*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -51984 + 11204 = -4078*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*b**3 + 2*b**3 - 2*b**2 + 4*b**2 + 2*b**2 to g*b**3 + w*b + k*b**2 + u and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z**2 - 2*z. Let i be w(1). Let y be i - -1 - (-5 + 4). Suppose -1 = p - 2*p. Put -5, p, y in decreasing order.\nAnswer: p, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1698414 and 696.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 145345 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24 + 26 + 3 + -7 + -9 - (-91 + -3).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 3*s = 9165, -2*s = -6*s. Let d = -14655\/8 - c. Factor 0 - 3\/8*b**3 - 3\/4*b + d*b**2.\nAnswer: -3*b*(b - 2)*(b - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 130237 (base 8) to base 13.\nAnswer: 17771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:54 AM and 8:43 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -732 + 382 = -70*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n**2 + 9*n + 9. What is a(-13)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-66)\/1452)\/((-1)\/(-4)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -971*n - 3996 = -175*n - 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -133\/1230 and 79\/30?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4\/233 - 494\/1631. Let c = 2 - 2.1. Let o = 2 - 1. What is the closest to c in r, 2, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 8 = -b, 5*b = 2*j + 20. Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 813690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 3, y: 7}. What is prob of picking 2 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 - 30 = -x. Let q = 24 - x. Solve -7 = -3*j + q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7943090 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -108 + 84. List the prime factors of 4\/n*-1 + (-2278)\/(-12).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-12)\/18)\/(-1)*(-2)\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3296567\/17 + 194767. Let c = 852 - k. Is 2 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-83 - (-44288)\/532) + 4\/84*-3\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (492\/1640)\/(-1*3\/(-4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -351 - 180 = 3*k. Let j = k - -169. Let r(h) = -h**3 - 8*h**2 - 3. Give r(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 83*b**2 - 1302*b - 42*b**3 - 83*b**2 + 1249*b as c*b**3 + l*b + m*b**2 + d and give l.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1131*g*n + 16*n - 872 wrt g.\nAnswer: 1131*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -15 + 11. Let y = -5 - z. Put 4, y, -2\/5 in decreasing order.\nAnswer: 4, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-17)\/(544\/3936)*3\/(-9)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the third derivative of -89*d**6\/60 + 169*d**3\/2 - 438*d**2. What is the first derivative of u(p) wrt p?\nAnswer: -534*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1606427077 to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -756cbc (base 16) to base 7\nAnswer: -122261000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find j such that -75076*j**2 - 1096*j - 4 = 0.\nAnswer: -1\/137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/3 + 14\/(-3). Let u be (-404)\/(-10) + 2\/n. Suppose 209*j = 212*j - 15. What is the highest common factor of u and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 14 = 3*l. Let b = l - -12. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -12, 5, -4, -7089409 in descending order.\nAnswer: 5, -4, -12, -7089409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b - 11*x - 46, 34*b - 37*b + 3*x = 18. Let m(c) = c**3 - 4*c**2 + 3*c. Let u be m(2). Are b and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*j + 450 = -8*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35*f**3 - 4798 + 30*f**3 + 1196 + 1191 + 1215 + 1196.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -43, -45, -47, -49, -51?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*m**2 + 2*m**4 + 3*m - 3*m + 1 to the form a + v*m**2 + b*m + d*m**4 + r*m**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 135123980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = a**3 - 15*a + 86. Let t(u) = u**2 + 5*u - 66. Let p be t(6). Calculate the smallest common multiple of x(p) and 4.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (24\/70)\/(2\/(-7)). Let d = -252\/5 + 51. Which is the closest to d? (a) 0.5 (b) 0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 650 + -594. Suppose 7*p - 3*p - 28 = 0. Suppose 35 + o = p*a. Let w(k) = 5*k**3 + k - 2. Let j(u) = -11*u**3 - 2*u + 4. Give a*w(f) + 6*j(f).\nAnswer: -f**3 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 282198 is divided by 141082?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 18325428 divided by 138829\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 6 = z - 40, 138 = 3*z - 4*t. Calculate the remainder when z is divided by ((-18)\/4)\/((-24)\/64).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -13.53 + 9.53. Let c = 0.77 - 0.17. Put c, i, 0.3 in decreasing order.\nAnswer: c, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22\/(-6) - (-13 + (-80)\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 0.3 (b) 0.29 (c) 3\/2 (d) 11\/34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 1a2 (base 13) to base 4.\nAnswer: 10231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 19955, 19950, 19945, 19940, 19935?\n\"Answer: -5*h + 19960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 68 divide 57320270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5 + 6. Let c = -3 + k. Let t = 5 + c. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 2*f**2 + 7*f - 9. Let c be i(-6). Suppose -30 + c = -3*l. Calculate the greatest common factor of l and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 46032 divided by 5\nAnswer: 46032\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = -21235\/16 + 1326. Calculate the common denominator of d and -17\/3302.\nAnswer: 26416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 230, 891, 1994, 3539?\nAnswer: 5526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -d**2 - 8*d + 255. Let c be j(-20). Solve 0 = -9*t + 4*t - c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j + 5 - 5 + (-5 + j + 5)*(-3 - 2 + 6) + 1 - 1 - 2*j)*(0 - j**2 + 0)*(2 - 2 + 2).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*g - 10*g - 25. Let k be -18*(10\/(-3) + 3). Let p be 0\/((k\/2)\/(-1)). What is the smallest value in g, 4\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.17 - -0.1. Let l = y - -0.07. Let q = l + -5. Which is the closest to 1? (a) 2\/5 (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 45627645139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -3895595.99 rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -3*x + 5*l + 3, 3*x - 18 = 2*l. Let s be 20*1*x\/20. Let a = 8 - s. Solve a = -3*d + 2 - 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1545363 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 51\/172 - 2\/43. Which is the third smallest value? (a) p (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 3*s**3 - 139*s**2 + 36*s + 436. Give a(46).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + (-2 - -15) + -17 - (-17 + 94 - -15)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1739?\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -39, 4, -5 in ascending order.\nAnswer: -39, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 504 and 904699656?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) -12 (b) -1\/3 (c) -0.1 (d) 4\/3 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -23\/8 and -26\/265?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w**3 - w**2. Suppose 4*x - 12 = -0*x. Let b(v) = -4*v**3 - 2*v**3 + 6*v**2 - 2 - 5*v**3 + x. What is -b(i) - 6*k(i)?\nAnswer: 5*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.33 (b) 1\/154 (c) -2\/3 (d) -2 (e) -244\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 924149 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 12202091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y\/(((y*y*y\/(y**(2\/13)\/y))\/y)\/y))\/y)\/y**15 assuming y is positive.\nAnswer: y**(-206\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 33*k + 11. Let c be l(1). Let i(g) = c + g - 92 + 50. Give i(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4381768920 to the nearest integer?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49 = 3*r + 5*o, 2*o - 27 = -3*r + 7. Suppose 2 = k + r. Find the common denominator of -9\/14 and ((-1)\/k)\/(21\/343).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -s**2 - 7 - 7*s + 9 - 4 + 3 + 2*s**3 + 7*s**2 as y*s**2 + t + g*s**3 + l*s and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 262, 585, 1130, 1897?\n\"Answer: 111*c**2 - 10*c + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = 6*r - 8. Suppose -r*l + 3 = -l. Solve -2*d + l*d = -3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11199056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 - -5. Suppose -146 = k - 3*r, 3*k - 6*r + r = -430. Let m = 145 + k. Solve -4*s - q = m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(120) + 2*sqrt(120))*-3 + sqrt(120))\/sqrt(10))\/(sqrt(24) + sqrt(384) + (sqrt(384)*2 + sqrt(384) - sqrt(6)))*-2)**2.\nAnswer: 512\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3\/19, -0.3, 3\/5, -4, 1.8, 273?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:31 PM and 1:21 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 9 by 16.\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (34 - 25) + 0 + -12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 8463731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -225*a - 45*a = -300*a + 2580 for a.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 48 + -42. What is the third derivative of -13*n**2 - 6*n**4 + 6*n**4 - 12*n**j - 9*n**2 wrt n?\nAnswer: -1440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -16969.88 in -3, 2, -2, 0.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-138)\/(-135) + (-7 - 366\/(-54)). Let i = 4 - 0. Solve 0*y + x*y**3 - 6\/5*y**i + 2\/5*y**5 + 0 + 0*y**2 = 0 for y.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -l + 1, -2*l + 0 = 3*i - 8. Let j = 57 + -55. Is j less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 8*z + 20*z**5 + 88*z**4 + 4*z + 9*z + 132*z**3 - 5*z + 80*z**2 = 0. Calculate z.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -67\/9 in -4, -0.1, -1, -0.02, -0.06?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 1\/(2*(-279)\/36)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 124427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 + -1)*3 + 7. Suppose -w*f = -8 - 12. Let b(j) = 7*j**2 - 16*j + 13. Let n(t) = 3*t**2 - 8*t + 6. Let a(z) = -2*b(z) + 5*n(z). Determine a(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -100 = -5*h - 3*w - 0*w, 5*h + w - 100 = 0. Solve -b + h = -5*n - 2*b, 0 = 4*b - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1000000 (base 2) to base 7.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 7, h: 1, g: 4, m: 3, w: 3}. What is prob of sequence hw?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = -134 - -160. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 2 h when three letters picked without replacement from hyhhhyhyhhhhhhhh.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 11780269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 98.65808 millennia in centuries?\nAnswer: 986.5808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 - -24. Let p = -24 + s. List the prime factors of 76\/p - (-4)\/1.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z = -1056 + 9366. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 277637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 * -4935.\nAnswer: -2467.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 215454 and 72782.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Subtract 460591441 from 0.1.\nAnswer: -460591440.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 106630440941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-22)*s**(-1\/31)*s*s)**(3\/35) assuming s is positive.\nAnswer: s**(-1863\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*i - 3*i + 6*i)*(-i + 5*i + 8*i - 1).\nAnswer: 36*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -192 = -2*m - 46*i, 5*i - 5 = m + 3 + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1\/2*q**4 + 0*q + 0 - q**3 + 3\/2*q**2 = 0. What is q?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 72885123*h**3\/7 - 801972945*h**2\/7 + 2602704*h\/7 - 2112\/7.\nAnswer: 3*(h - 11)*(4929*h - 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 + 13. Calculate the smallest common multiple of 60 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00002229394 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3 - -94)\/(0 + 3 - 2). What is the greatest common factor of d and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is n in 3*n**4\/8 + 155259*n**3\/2 + 4017559512*n**2 - 310518*n - 16070238054 = 0?\nAnswer: -103506, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -4315 (base 12) in base 7?\nAnswer: -30314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -8 - -40. Let l = x - 31.77. Let v = l - 0.230029. What is v rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.95? (a) -2\/7 (b) 2 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the first derivative of 89*v**4\/4 - 2*v**3\/3 - 85*v**2\/2 - 326. What is the second derivative of u(t) wrt t?\nAnswer: 534*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2194 - -4?\nAnswer: 2198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -794, 1\/12, 4, 0.1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 982*z - 1008*z = -114 - 42. Let m(r) = r**2 - 16*r + 66. Give m(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1948 equal to -0.48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 3122*q + 78273. Calculate f(-25).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**3 - 14*k**2 - 12*k + 7. Let v be n(-13). Let s(g) = -g**2 + 10*g + 4. Let b be s(10). Sort -3, -2, v, b in decreasing order.\nAnswer: b, -2, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2 + 4. Let n = -1.99999 + r. What is n rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 2*w - 2. Let q be m(3). Let k = -86 - -260\/3. Put k, -0.4, q in decreasing order.\nAnswer: q, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g - 3. Let k(c) = -c - 2. Let w(o) = -3*o + 3. Let t be w(2). Determine t*k(q) + 2*l(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 91627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 148.09, -2, 2\/5, 7.48?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*j - 15*j + 2700. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 15 = 0, -2*f = 8*r - 9*r + 76. What is the greatest common factor of 665 and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1352*a**4 + 656626 - 656626 + 1283*a wrt a?\nAnswer: -16224*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in -3, -37, -4, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.939689 grams in nanograms?\nAnswer: 939689000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -158, -314, -470, -626?\nAnswer: -782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2864696 and 368?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 3, 1, -24, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1900, 1915, 1954, 2029, 2152, 2335, 2590?\nAnswer: 2929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51678?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -39*o**2 - 5888*o + 160. Calculate f(-151).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - -6. Suppose -3*j = -3*j - j. Solve -14 = -2*b + 4*z, -t*b = -j*b - z - 17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 5, -2\/23, -1, 0.11, -2\/7, -0.16?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -16981 = 1868*h - 687*h + 118834 for h.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1795530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 166 + -157. What is the remainder when 35 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 25\/2 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -0*f + 20, 4*l + 2*f = -38. Let y = l - -14. Solve 0 = y*c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**2 + 3288*p + 3703225.\nAnswer: -(p - 4175)*(p + 887)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/4 >= -12905251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 128\/(-576) + 356588\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18\/(-54))\/((10\/6)\/(-1)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = -5*f - 700 - 47164, -4*k + 4*f = -95740. What are the prime factors of k?\nAnswer: 3, 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 507206 is divided by 1663.\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n**2 - 2*n + 2. Let q be p(2). What is the nearest to -1 in 5\/2, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -14 - -13 - (-3 + -1 + (2 - 0) + 9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2 and 5302?\nAnswer: 5302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (14\/6*-12*(-1)\/(-1))\/(-10)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 10.86936l to millilitres.\nAnswer: 10869.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1623662 to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**4\/(m*m*m**(-2)*m)*m\/(m*m**(-2\/29))*(m**(-1\/3)*m*m)\/m)**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the first derivative of 3*i**8\/560 - i**6\/360 + 3*i**3 + 2. Let g(b) be the third derivative of a(b). Find the third derivative of g(u) wrt u.\nAnswer: 216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = 2*k - 2122, 10*k = 5*k - 3*o + 5294. Suppose 6*t - k = 2*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 596 - 175. Let z be -2 + 4 + (t - 1). Suppose 2*j = 4*j - z. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 3 + 1)*(-545*t**5 + 379*t**5 - 1113*t**5).\nAnswer: 1279*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 258*a**3 + 208*a**3 - 884*a**2 + 255*a**3 - 130*a**3.\nAnswer: 591*a**3 - 884*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be (3*-1)\/((-6)\/6). Suppose 0 = 5*n + 4*p + 6, b*n - 7 = 5*n - 3*p. Does 10 divide 64\/6 - n\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*p**3 - 39*p**2 - 33*p**3 + 39*p**2.\nAnswer: -31*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -563603, -563729, -563939, -564233?\n\"Answer: -42*r**2 - 563561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 0.4, 13\/163, -4, -0.2 in descending order.\nAnswer: 0.4, 13\/163, -0.2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 23 divided by -4?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-90)\/36 + (-2 - (-8)\/2). Let x = -10 - -5. Which is the smallest value? (a) 0 (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2\/6 + (-16)\/(-6). Suppose -y = j*y - 2*f - 64, 5*f + 76 = 4*y. What is the highest common divisor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 8 (b) -6.1 (c) -63710\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 5808*m**2 - 2*m + 3. Is a(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2 + -3)\/(6\/(-12)). Suppose 0 = -4*j + 5*r + 539, -b*j + 4*r + 55 = -207. List the prime factors of j.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-6*5)\/(4 - 5). Suppose 16*m + k*m + 2 + 4 - 36*m - 4*m**2 = 0. What is m?\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 130 = -5*v, 338 + 212 = 5*i + 5*v. Suppose 3*r = 5*r - 54. What is the remainder when i is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*v - 785 = -768 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -4*w**3\/7 + 19164*w**2\/7 - 153084*w\/7 + 19132 = 0.\nAnswer: 1, 7, 4783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5511068.\nAnswer: 2, 877, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - (-1 + -17 - -9) - (62 + -70)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, y: 1, h: 1, e: 2, b: 1, s: 1}. What is prob of picking 1 h and 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -5, -22, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -393*o + 13736. Give r(45).\nAnswer: -3949","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 - 3*i + 5 - 5*i + 5*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - 6) + (18 - 17) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + -4*(sqrt(432) + 2) + sqrt(432) + sqrt(432) + 5 + sqrt(432)*-2)**2 + -2.\nAnswer: 672*sqrt(3) + 6959","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s = -0*s - 35. Let x be 1*s\/((-14)\/(-12)). Find the second derivative of -x*w + 4*w - w**3 + w wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is o in -3184*o**4\/5 + 21516*o**3\/5 - 39142*o**2\/5 + 14484*o\/5 + 6416\/5 = 0?\nAnswer: -1\/4, 401\/398, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -278 + 278 - 5*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 9, -5, 3 in ascending order.\nAnswer: -5, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 2122212322 (base 4) to base 8.\nAnswer: 2324672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 3*n**3 - 25*n**2 - 13*n + 171. Let j be y(8). Factor -9\/7*x**j + 0*x + 3\/7*x**2 + 0 - 12\/7*x**4.\nAnswer: -3*x**2*(x + 1)*(4*x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9546195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -6*h - 6. Let f be v(-4). Let o = f - 14. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.2804 and -0.2.\nAnswer: 0.05608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 2*q**2\/7 - 3702*q\/7 + 5260 = 0.\nAnswer: 10, 1841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 398313 is divided by 79344?\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-2)\/6)\/(10\/30). Let d(j) = 8*j**4 + 6*j**3 - 2*j**2 - 6*j + 6. Let z(s) = -s**4 - s**3 + s - 1. Let l(u) = v*d(u) - 6*z(u). Factor l(n).\nAnswer: -2*n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (85\/6 - (-2)\/(-3))*202\/(-606)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 12766420 rounded to the nearest ten thousand?\nAnswer: 12770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 15\/6848 and 1\/235140632.\nAnswer: 1881125056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -72 - -102. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56738791 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u**3 + 45*u**2 + u + 135. Let x = 225 - 270. What is the least common multiple of 21 and j(x)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3 + 4. Suppose 3*i - j = 4*i. Let w = 16125 + -16123. Put i, 4, w, -21 in ascending order.\nAnswer: -21, i, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 14 = -2. Suppose 2*s + 0*b - 24 = -h*b, -2*b + 68 = 5*s. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -129*r + 22*r + 226 + 630 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 77*x - 74*x - 18675 = 0. List the prime factors of x.\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.243388149446+-2\nAnswer: -1.756611850554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -7*i**3 + i**2 + 9*i - 12175. Let a(j) = 6*j**3 - j**2 - 7*j + 12177. Let c(m) = 6*a(m) + 5*n(m). Is c(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -135 + 160. Solve -3*i - 2*t = 0, 5*t + w = 5*i - 0*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (71\/(1491\/28))\/((-4)\/(-15)). Solve 2*c + 4 = r, 4*c - i*c = -r + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 201351?\nAnswer: 3, 41, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -13104 or -13103?\nAnswer: -13103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00132554174 to 7 decimal places.\nAnswer: -0.0013255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that 8*m**3 + 124*m**2 - 568*m - 684 = 0.\nAnswer: -19, -1, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 222 = -41*d + 152*d. Let o(h) = -h - 3. Let w be o(0). Sort d, 6, w in descending order.\nAnswer: 6, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 294 and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -2578*l + 492395. What is o(191)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1977249 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 126.2189839 - 126.448. Let f = p - -0.229. Round f to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -44305, -88441, -132577, -176713, -220849, -264985?\n\"Answer: -44136*t - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-7 + 3)\/(1\/2). Let s be (-1)\/l + (-4596)\/(-96). Calculate the greatest common divisor of s and 504.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q**2 + 4*q + 4. Let i(b) = 8 + b**3 + 1 + 6 - 4 - 13*b - 10*b**2. Let m be i(11). Let d = -6 - m. What is g(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = b + 4*a, -b + 5*b - a - 57 = 0. Calculate the remainder when 55 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -k - 4*v, 0 = 5*k + 2*v - 20 + 4. Suppose 5*x - 2*j - 435 = 3*j, -3*x = -k*j - 265. What is the greatest common factor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (267\/(-178))\/((-6)\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**3)**(-7\/12)*(f*f**13\/f*f)**(1\/23) assuming f is positive.\nAnswer: f**(-105\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 536937 is divided by 107386?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a - 8. Let g be t(-8). Let m = -1 - g. Calculate the greatest common factor of 75 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 2326, 4655, 6996, 9355, 11738, 14151, 16600, 19091?\n\"Answer: m**3 + 2322*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 199\/693 + -5\/77. What is the closest to -2\/7 in 5, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2750761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 42 and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(4\/5))**(3\/4)\/(n**2)**4 assuming n is positive.\nAnswer: n**(-133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**2 - 18*o + 72. Suppose 4*q - 3*z = 3331 - 3401, 48 = -3*q + 3*z. Calculate g(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.102 + -16.242. Round v to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rmrr when four letters picked without replacement from rrrmrrmmrr?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j**2 + 24075*j - 6464250 = 0. What is j?\nAnswer: -5070, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a - a + 16 - 16. Let k(z) = -9*z**2 - 13*z - 26. Let x(t) = -7*t**2 - 6*t - 12. Let s(i) = -6*k(i) + 13*x(i). Give s(j(w)).\nAnswer: -148*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 273116533.\nAnswer: 239, 733, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -2*a**4 - 8*a**3 - 8*a**2. Let u = -18 + 15. Let c(f) = f**4 + f**3 + f**2 + 1. Let k(q) = u*s(q) - 24*c(q). Differentiate k(j) wrt j.\nAnswer: -72*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {o: 3, z: 4, d: 2, k: 6, f: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 54 + -26. Let s = 39 - l. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = -5*h. Suppose -r + 24 = -h*r. What is the units digit of (2 + 0)\/(3\/r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -14*q - 9*q + 39*q + 41*q as o*q + b and give o.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 84364.\nAnswer: 2, 7, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-36*m + 12*m - 13*m)*(-1 - 2 - 4) - 454 - 8*m + 454 in the form d + y*m and give y.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y - 4*m + 21 = 0, -53*y - 4*m + 13 = -50*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 133\/440 and 23\/627.\nAnswer: 25080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3 (b) 2.9 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 3 + -4 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = i + i + 2*n, -3*i = -n + 26. Let p(j) = -2*j - 15. Let k be p(i). Suppose 6*h = k*h + 3. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/(y*y**0*y))\/y*y*y**(2\/15)*y**(-1\/4)\/y**(-3) assuming y is positive.\nAnswer: y**(113\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Add together 1.76054 and -2.\nAnswer: -0.23946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 8 = -6. Let y(w) = -w**3 + 6*w**2 - 4*w. Let i be y(5). Suppose 0 = -i*d - 11 + 141. What is the remainder when d is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 572*d**3 + 186131973*d**2 - 186131973*d**2.\nAnswer: 572*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0255933 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -256 + 246 = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xtmzde. What is prob of picking 1 z and 1 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 799691?\nAnswer: 19, 42089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b be (0 - 1)\/((-2)\/6). Solve -b*m = -0*m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -58*915747\nAnswer: -53113326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -10 - -141634?\nAnswer: 141624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 3, h: 6, z: 5, r: 1}. What is prob of picking 1 h, 1 c, and 2 z?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 339, 473, 611, 753, 899, 1049, 1203?\n\"Answer: 2*g**2 + 128*g + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-18078)\/(-46) + (0 - 8) is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0 + 0)\/(12\/4). What is the closest to v in 3\/7, -5, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2673 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2 - (1 - -1)*-1. What is the second derivative of -2*t**g - 6*t**2 + 2*t + 6*t**2 wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72 = -4*d + 13*d. Let b(r) = -39*r**3 - 11*r**2 - 3*r + 27. Is b(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*q**2 + 67*q + 12*q - 79*q.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18*-0.04.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -8 + 2 - (-285)\/45\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 183, 350, 515, 678, 839, 998, 1155?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -31 in -5, 2\/7, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49*i - 44*i - 2*b = 3743, 4*i - b - 2992 = 0. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 518291?\nAnswer: 518291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 982261681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 7) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o + 7*o + 7 = -2*m, -o - 3 = m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1212 is divided by 89.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*r - 41*r - 27*r**2 + 19*r + 21*r.\nAnswer: -27*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kukrkkkgkukkku. Give prob of sequence ru.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/4 - 30524\/122224. Let a = 41786135\/884 - 1595744549569\/33764380. Let s = n - a. Find the common denominator of s and -45\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - i + 0*i + 3*i)*(1 - 2 - 3) as g*i + n and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -8*f**3 - 7*f + 7. What is s(2)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 = -o - 23, 4*o = 2*r - 22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15744*j - j**3 + 15744*j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*b**3 - 2 - b + 2)*(-6 - 5 + 2).\nAnswer: 45*b**3 + 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((17 - 13) + (1 - 3))\/18?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 376325*b**3 - 35676*b + 4.\nAnswer: 2257950*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*z - 5*z. Suppose z = -j - 5*y + 24, 0 = 4*j - y - 6 - 6. Suppose j*u + x - 43 = 0, -3*u + 22 = -2*x - 24. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + 1 - (36 - 28)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4874.92318 - -3576.\nAnswer: -1298.92318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**3 - r**2 - 4*r + 5. Is i(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10 + -4. Let g(b) be the third derivative of b**4\/24 + 7*b**3\/6 + b**2. Let z(j) = 2*j + 8. Let p(a) = u*z(a) - 7*g(a). Determine p(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -38 - -55. Let b = z + -12. What is the smallest value in -0.2, b, 1\/10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -18180 divided by 202\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u**3 - 33*u**2 - 36*u + 64. Let k be c(-32). Let p = 31 + k. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = a**3 + 7*a**2 + 6*a - 3. What is x(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1026 or 0.019?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.0621403 - -0.017859. Let o = 0.08 - w. What is o rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve l**3\/2 + 478*l**2 + 953*l\/2 - 955 = 0 for l.\nAnswer: -955, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 4.987 rounded to one dp?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1312.22 + 1325. What is w rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6096033 divided by -225779.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 33, 5, 30 in descending order.\nAnswer: 33, 30, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 2, t: 1, r: 1, a: 1}. What is prob of picking 1 a and 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -5*n**2 - 5*n + 4. Let g(q) be the first derivative of q**3\/3 + q**2\/2 - q + 7. What is 4*g(w) + y(w)?\nAnswer: -w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/13? (a) -4 (b) -1 (c) 0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 1, 3, 718, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -5, 0, -4 in decreasing order.\nAnswer: 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1513272452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a**3 + 14*a**2 + 53*a - 7. Let s be c(17). What is the greatest common factor of 351 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h**2 - 5*h + 7 - h - 6*h**2 + 4*h**2. Let j be x(-7). Let p be j\/((4 + -1)\/(-3)). Is p less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1417749?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/807 (b) 5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -44597, -44109, -43621, -43133, -42645, -42157?\nAnswer: -41669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 756264768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 184 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 4*h**2 - 20*h + 6. Let g(t) = -9*t**2 + 39*t - 11. What is -5*d(b) - 2*g(b)?\nAnswer: -2*b**2 + 22*b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = -25, -m + 2*s = 3 - 9. Let o(x) = -5*x - 2. Let d be o(m). Suppose d = 2*a + 10. What is the greatest common factor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 - 2 - 4 + 351*v + 842*v + 142*v.\nAnswer: 1335*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 7148, 7144, 7136, 7124?\n\"Answer: -2*o**2 + 2*o + 7148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -0.052 (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5 + 4.5. Which is the closest to 2\/3? (a) g (b) 0.4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n*n**(3\/5))**10*n**(-2\/3)*n\/(n\/n**(-2\/11)))**32 assuming n is positive.\nAnswer: n**(26560\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 144105*p**3 + 63290*p + 2.\nAnswer: 864630*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3 - -2)*(4 - 4). Suppose -x = -4*d, -4*x + n*d = -d - 15. Solve -2*h - y = 0, 2*h - x*h = 3*y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*m + 32*m + 20*m - 756 = 0 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 414 - 415. What are the prime factors of (s\/3)\/((-4)\/16692)?\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (4480\/5376)\/(1\/9 + 1)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 + 8. Let l = 64318 - 64308. What is the greatest common divisor of t and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -0.3, -0.5, 7\/3, -5\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d = -6*d + 18. Factor 15 - 8*k**2 - 20*k - d*k**2 + 16*k**2.\nAnswer: 5*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.52 and -8?\nAnswer: -12.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 3*y = -25. Suppose -5*c = -20, -y*z = 2*c + c + 13. Let v(r) = r**3 + 5*r**2 + 2*r + 5. Calculate v(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-72)\/63 - 58\/(-63). What is the closest to h in 5, -7, 0, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 20 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 272823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -396 divided by -198\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 54\/11539 and 1\/1766516.\nAnswer: 19431676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 93270384, 186540770, 279811156, 373081542, 466351928, 559622314?\n\"Answer: 93270386*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4214726 + 21*h**4 - 4217318 + 3*h**2 + 56*h**4 wrt h.\nAnswer: 308*h**3 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 + 1)*(3*j - 3*j + j**2) + 0*j**2 + 2*j**2 - 4*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-10 + (-363)\/(-44))*(-1 + -3). Let f be (-34)\/(-119) + (2 - (-5)\/i). Sort 1\/7, -2.3, f, -4 in increasing order.\nAnswer: -4, -2.3, 1\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + 3*s + 0*s = 0. Suppose -6 = -6*m - s*m. Solve q = 2*q + m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2827 and 1.\nAnswer: 2827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-4)\/(-2) + -1)*0. Suppose w = v + 2*v - 111. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 307935 and 102645.\nAnswer: 307935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -94*x - 2*x**2 + 104*x - 2*x**2.\nAnswer: -4*x**2 + 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - (15 - 4) - (-7 - 0) - 30.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/2*(-1)\/(-1)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*v**2 - 2*v**2 - 2*v**2 + (0*v**2 + 0*v**2 - 5*v**2)*(1 + 2 - 2) + 88*v**2 + 9609 - 9609.\nAnswer: 82*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/61314 and -37\/66.\nAnswer: 61314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((4\/18)\/(61\/732))\/((-5)\/(-15)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2*58\/4)\/(42\/210*-5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(112) + 0)*-2 + sqrt(112))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 + 0 + 2*n**2 + (0*n - 3*n + n)*(3 - 2 + 2)*(-n + 4*n - 6*n) to the form b*n + w + q*n**2 and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 140792, 281394, 421996?\nAnswer: 562598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -564 - -4?\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 10 + 2 + (-4 - -10) + (13 - -114 - 28)\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -q**4 - 2*q**3 + q - 1. Let l(k) = -85*k**3 - 60*k**2 + 10*k - 30. Let r(w) = -l(w) + 30*t(w). Suppose r(s) = 0. What is s?\nAnswer: -2\/3, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0 from 9024622.\nAnswer: 9024622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 1\/12, 0.1, 1\/25, 1?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*s**2 + 30*s**2 + 62*s**2.\nAnswer: 83*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o be (17\/18)\/(180\/(-10104)). Let z = 276\/5 + o. Calculate the common denominator of 52\/21 and z.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrrnrrnrrrn. What is prob of picking 2 n and 1 r?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -11 (b) 1\/11 (c) -10\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 19*((-106)\/265 + (-41)\/(-100)) and 73\/16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 2\/15 (b) 93 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 545757312 - -1?\nAnswer: 545757313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3197*j**4 - j**3 + 6*j - 56268 wrt j.\nAnswer: 12788*j**3 - 3*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13\/1 - ((-26649)\/(-188))\/81?\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 20 + (3 - 6 - -3). Suppose 0 = 2*h + h - q - 66, 0 = h - q - y. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -69742, 1, 5, 0, -5 in ascending order.\nAnswer: -69742, -5, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4032 = -34170*t + 34314*t for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 191 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -35 - -81. Does 42 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*y - 7*y - 10*y)*(9*y - 6 - 15 + 21).\nAnswer: -261*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 62910 and 62910?\nAnswer: 62910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:30 PM and 9:18 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -220, -593, -1178, -1975, -2984, -4205, -5638?\nAnswer: -7283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -5*x**2 - 5*x. Calculate b(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -65.6270202 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29*s - 496 + 496.\nAnswer: -29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-6)\/14 + (-248)\/(-56). Suppose -z*i + 18 = -2*t + i, -3*i - 6 = 3*t. Let v be -13500*-200*t\/12. Round v to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 27\/(-45)*5 + 9. Solve -4*z - 5*a - 17 = 0, -5*z + 9 + y = -a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3227323374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -2*n**2. Let i(y) = -5264631*y**2. Determine d(i(c)).\nAnswer: -55432679132322*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.97 - -1.039. Let f = s + -0.028. Round f to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -13*w + 5. Let u(q) = 28*q - 11. Let b(d) = 9*i(d) + 4*u(d). Suppose -s + 0 = 1. Let c be (1 - 0)*s - 0. Give b(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*p**2 - 1 + 1 + 2*p**2 + 4*p**2 - 4*p**2 + (0 + 0 - p**2)*(-3 - 2 + 6) - 2*p - 2*p**2 + 2*p + p - 2*p - p**2 + 2*p.\nAnswer: -4*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 898 is divided by 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = -5*u + 15, 3*b + 0*b = -5*u + 25. Solve -5 = u*r - 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3, -1\/3, 159.5, -28, -1, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((0 + -5 + (sqrt(931) + 0)*-3 + -3)*-5)**2.\nAnswer: -633225 - 25200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -j - 16. Suppose x - k + 0 = 10, 10 = -x - j*k. Solve 4 = -u - z - 0*z, -x*z = -2*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {n: 1, e: 1, c: 1, r: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8973564 hours in days?\nAnswer: 0.03738985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 224.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 3, e: 4, i: 4}. Give prob of sequence eeee.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s - 2*s + s)*(2*s**3 + s**2 - s**2 + (s - s + 2*s**3)*(-1 + 3 - 1) + s**3 + s - s - 2*s + 2*s**3 + 2*s) + (19*s**3 + 26*s**3 - 4*s**3)*(2 - 2*s - 2).\nAnswer: -96*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m be -11*((-10368)\/396 + 26). Let z = -0.2 + 0.6. Put 42, z, m in increasing order.\nAnswer: z, m, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(225)*1)\/(sqrt(6)\/(sqrt(2) + sqrt(12)\/sqrt(6))))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (((-365)\/200)\/73)\/((-3)\/24)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -11 times -2592245?\nAnswer: 28514695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = -800.7342 - -801. What is p rounded to two dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-192)\/6)\/8)\/(-50)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 562912.7 to the nearest one thousand.\nAnswer: 563000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 181 a factor of 25521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5316.9 + 861.1. Let w = i - 6174.833. What is w rounded to 1 decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -19\/5, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**4\/5 - 6*t**3\/5 - 192*t**2\/5 + 174*t - 135.\nAnswer: 3*(t - 5)**2*(t - 1)*(t + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 8\/10*(5 + -16 + 325\/20 + -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*b**2 - b**2 + 2*b**2)*(2 - 1 + 0)*(-6*b**2 + 2*b**2 + 2*b**2).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hheettzlhrlzhhzelhh. What is prob of sequence hl?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 3\/(15\/5)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1001 + 202*a + 1001 to the form x*a + r and give x.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -101, -100, -99, -98?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -2*z - 7. Let x be n(-5). Suppose -75 = -4*a + x*p, -p - 2*p - 57 = -3*a. Let d(o) = o**3 - 17*o**2 - 15*o + 3. What is the units digit of d(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 788\/580623?\nAnswer: 788\/580623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 8508127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -6844.3 to the nearest 100.\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/15 of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 + 2 = -2*i, -4*q + 5*i = -60. Let v(m) = 2*m - 12. Let t be v(8). Suppose 5*r + q = -3*l - l, -20 = 4*r + t*l. Round r to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*n - n + 0*n)*(-73 + 32 + 14) - 3 - 3*n + 4 + 0*n in the form b + k*n and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 11295 by -251.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -2 + m + 1 - 2*m. Suppose -2*s + 80 = 3*s. Suppose 4*n = k - s, 0 = 3*n - 5*k - 5. Calculate l(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fdfffffdddffffdf?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ywesylseeywyyws. What is prob of picking 2 w and 1 y?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of 1.64 and -0.13477.\nAnswer: -0.2210228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2469390 and 30814.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 176210.6 - 176175.599846. Let v = -35 + a. What is v rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-497)\/(-355) + (-14)\/10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/30)\/((-7)\/42)*5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -494949440 rounded to the nearest one million?\nAnswer: -495000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 994*i**2 - 2956*i**2 + 967*i**2 + 2 - 2 + 994*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**2 - 4*y - 3. Suppose -6 = -4*o - 2*k + 6, 4*o = 2*k + 20. Calculate t(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -5*a**3 + 4*a**2 - 3*a - 7. Let p(q) = 4*q**3 - 3*q**2 + 5*q + 6. Determine 3*l(d) + 4*p(d).\nAnswer: d**3 + 11*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -353.00975 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(153) + -3 - ((3 + sqrt(2057))*1)**2.\nAnswer: -2068 - 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.22257 rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of g*o**3 - g*o*u + 16*g*o + 913*g*u**2 + 2075*o**3*u**2 + 3*o**2 + 3*u wrt g.\nAnswer: o**3 - o*u + 16*o + 913*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 2*n**3 + 13*n**2 + 25*n**3 + 26*n**3 - 24*n**2 + 17*n**2 as j*n**2 + a*n + u*n**3 + r and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25489866 is divided by 3186233.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -4*d**3 - 221*d**2 + 6*d + 3. Let g(l) = -14*l**3 - 661*l**2 + 20*l + 10. What is 3*g(u) - 10*x(u)?\nAnswer: -2*u**3 + 227*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 91 = -26. Let l = 57 + a. Calculate the smallest common multiple of -1 - (-3)\/(-2)*-2 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c = -11*c + 65. Let n be (1 + 6)*(-78)\/18*-3. What is the greatest common divisor of n and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 5, i: 6, c: 3, v: 1}. Give prob of picking 1 z and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11904*r + 5953*r + 5951*r + 21*r**2.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -66 + (18 + -6 - 6) + -212 + 226\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1736 and 6510?\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/449 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(243\/(-48) - -5) + 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from owmomfomwmwgww. Give prob of sequence wgmm.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -456, -858, -1260, -1662?\nAnswer: -2064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1421 and 10135181.\nAnswer: 70946267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -2*i. Let s(y) = -3*y. Let n(t) = -8*h(t) + 5*s(t). Let o(p) = -159*p**2 - 46*p**2 - 3*p + 217*p**2 + 3*p. What is n(o(q))?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 34 - a4e0d0?\nAnswer: -a4e09c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 2*l**3 - 28*l**2 + l - 8. Let z be (-4 + (-10)\/(-4))\/(6\/(-56)). Let f be r(z). Solve -3*m + d + 7 = 0, 5*m + 9 + f = -5*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48 = h + 30. Solve 2*j - g + 9 = 4*j, -5*g = j - h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**14\/(m*m**0))\/(m*m\/m**(-8)*m*m*m*m)**(-2\/23) assuming m is positive.\nAnswer: m**(327\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 17*r**2 + 17. Suppose 364 = 74*t + 241 - 321. Let j(y) = -9*y**2 - 9. Determine t*u(s) + 11*j(s).\nAnswer: 3*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7236350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 2) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-1\/9)\/((x*x**(-1\/3))\/x))\/(x**(-2\/3)*x\/x**(-2\/11)))\/(x**(-7)*x**(6\/11))**(-3) assuming x is positive.\nAnswer: x**(-1946\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-1)*(-220)\/(-55).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 35\/34, -139, 1, 4, -14, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y be 20*(21\/6)\/7. Let n(r) = -5*r + 18*r - 28 + y*r + 12*r. What is the tens digit of n(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (l - 328 - 543 - 379)*(l**2 + 5*l**2 - 4*l**2) to b + y*l**2 + g*l + t*l**3 and give y.\nAnswer: -2500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4946 - 4949 + 2*g + 9*g.\nAnswer: 11*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.029 and -185591715.\nAnswer: -185591714.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.159 - 0.011. Let a = 0.1557 - i. Round a to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 48.06996 weeks to seconds.\nAnswer: 29072711.808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34 - 34 + 743*l - 331*l.\nAnswer: 412*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is y in 2*y**2 - 10*y - 28 = 0?\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -15606, -15602, -15598, -15594?\nAnswer: -15590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -10, -25, -28, -13, 26, 95, 200?\n\"Answer: o**3 - 22*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*j - j + 3*j)*(-2*j**3 + 11*j**3 - j**3 + 4*j**3 + 0*j**3 - 3*j**3 + (2*j - j + j)*(-3 + 3 + 3*j**2) - 4 - j**3 + 4).\nAnswer: 84*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1210010132 (base 4) in base 3?\nAnswer: 202211020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 divided by 511.\nAnswer: 16\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 75 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6776*d*h**2*o**2 - 5*d*h*o - 5*d*o**2 - 32*h**2*o**2 - 105438*h**2*o wrt o.\nAnswer: 13552*d*h**2 - 10*d - 64*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -110*11\/(-1694)*2\/10.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5*9\/30)\/((-51)\/4).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15813 = -22*s + s. Let u = -562 - s. List the prime factors of u.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19874941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/12765 and 161\/3330.\nAnswer: 76590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 44396029, 44396028, 44396027, 44396026, 44396025?\n\"Answer: -r + 44396030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 27.4 + -25. Let i = 0.4 - w. Let y = i + 3. Are -0.1 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2203, -9067, -20425, -36211, -56359?\nAnswer: -80803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*r - 3*n + 28, -3*n - 2 + 20 = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1*(-3 - (-3)\/(-1)). Suppose -w*a = -5*a - 7. Suppose -a*f = -4*f - 171. List the prime factors of f.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -27519.14 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 864 a factor of 53475693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 5 + 6639\nAnswer: 6644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -22 - (-27 + (16 - 9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -35463, -35461, -35459, -35457, -35455?\n\"Answer: 2*o - 35465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - n + 134 = -3*n, 2*j = -2*n + 262. Calculate the common denominator of 771\/j - (22 + -15) and -45\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*r - 3*r - r)*(1 - 1 - 2*r + (-4 + 4 - 2)*(-3 - 8*r + 3))*(r**3 - 9 + 9).\nAnswer: 28*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.35684758 to 4 dps.\nAnswer: 0.3568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 1*(2 + (sqrt(76)*-1 + sqrt(76) + 1 - (sqrt(76) + -5*(sqrt(76) - (-2 + sqrt(76))))))**2.\nAnswer: -52*sqrt(19) + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 49168 and 8176?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 123 (base 4) in base 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8 + 10. Let g(f) = -8 + i*f - 10 + 18 - 2. Give g(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y**2 + 627*y - 98213. Give c(325).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 46 and 1816.\nAnswer: 41768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*k - 2*k + 12*k**3 - 2*k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 37*r + 31. What is the units digit of b(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, p: 2, a: 1, q: 10}. Give prob of sequence qp.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 265954 - 0.26.\nAnswer: 265953.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 101\/(16665\/(-132))*65?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 144 minutes after 12:01 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -252 = -0*v - v. Let x be 8\/(-18) - (-112)\/v. Which is the nearest to x? (a) 0 (b) 0.5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000073523 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 2 o when three letters picked without replacement from {m: 2, o: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0 - 0. Suppose x = 17*r - 14*r. Suppose -48*l + 50*l - 238 = r. What are the prime factors of l?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the second derivative of a**3\/2 - 3*a. Suppose -4*v - 4*c = -104, v + 2*c = -18 + 45. Let i(z) = -6*z - 25 + v. What is p(i(t))?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2750 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the third derivative of p**5\/30 - 37*p**4\/12 - 38*p**3\/3 + 31*p**2. What is h in t(h) = 0?\nAnswer: -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 42 - 2 = 0. Suppose x - a*x + 14 = 0. Differentiate -3*k**2 - 3 - 13*k**x - 5 wrt k.\nAnswer: -32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**3 + 5*n**2 - 7*n + 5. Let j(k) = -102*k**2 - 2 + 29*k**2 + 3*k + 71*k**2. Let p(t) = -t**2 + 5*t - 5. Let b be p(5). Determine b*j(d) - 2*i(d).\nAnswer: -2*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from wwaabexeeeweeevvwv?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*h**4*s**2 - 3140*h**3*s**2 - 4*h*s**2 + 4*h + 234*s wrt h.\nAnswer: -48*h**2*s**2 - 18840*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -18, -19, -20, -21, -22?\n\"Answer: -a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/10*208\/52)\/(4\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/8 at least as big as 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 2*y. Let i(a) = -a. Let c(p) = -i(p) + 3*s(p). Let f(x) = 26*x**2. Give f(c(l)).\nAnswer: 1274*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 29788 or 29658?\nAnswer: 29788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 134457*k**2 - 1325547*k?\nAnswer: 268914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -11*v**2 + 1. Let t(x) = -16*x**2 + 2. What is -8*h(f) + 5*t(f)?\nAnswer: 8*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = 14 - 4. Solve 0 = d + d + p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12560\/(-24))\/(-10) + (-2520)\/(-540).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -43307323 + -5?\nAnswer: -43307330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 0.8*30.3388\nAnswer: 24.27104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = l**3 - 15*l**2 + 16*l + 13. Let y = -713 - -429. Let s = 404 + y. What is the remainder when s is divided by a(14)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0041918 to five dps.\nAnswer: -0.00419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 891948 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 793.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-55)\/(-45) - (-3)\/(-54)*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ayossos. Give prob of picking 1 a and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2705, -5402, -8099, -10796, -13493?\nAnswer: -16190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*f + 2*f**3 + 0*f + (6 + 2*f**2 - 6)*(-30*f + 89*f + 68*f))*(-2 - 4 + 5) + f**3 + 2*f**3 - f**3 + (-2*f**2 - f**2 + 4*f**2)*(f - f + 2*f).\nAnswer: -252*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 180685719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -y**2 - y + 35. What is f(7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -447, -413, -395, -399, -431, -497?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 5, -2, -13, 936 in ascending order.\nAnswer: -13, -2, 4, 5, 936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 32921\/24 + -1374. Find the common denominator of 83\/8 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(36)\/sqrt(2) - ((sqrt(108)*1)\/sqrt(6) + sqrt(18)))\/(6*-2*sqrt(96)).\nAnswer: 5*sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1293724637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 527619684 a multiple of 2723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/7 in -2\/15, -5, -2\/9, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by 36596475?\nAnswer: -1\/7319295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w + 8 + 28. Let g be (-96)\/171 - 6\/w. What is the second smallest value in 5, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(105)\/sqrt(5))\/sqrt(3) - sqrt(7)) + (-4 + sqrt(7))*4)*-6*-4.\nAnswer: -384 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 540151 is divided by 107244?\nAnswer: 3931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.2 and 0.71334?\nAnswer: 0.91334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -47\/5071 or -2\/9?\nAnswer: -47\/5071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v + 96 = 70*l - 74*l, -3*v - 44*l = 933 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -5 plus 199453583104?\nAnswer: 199453583099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 529325855 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -36*x - 291. Determine u(0).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 616101380?\nAnswer: 2, 5, 47, 439, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -18*2\/(-28)*(-12)\/(-54)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 774003760 to the power of 1\/2, to the nearest integer?\nAnswer: 27821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-67)\/2 + (-16)\/(-32). Which is smaller: q or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 349776 and 9022?\nAnswer: 4547088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 0.2724441 * -11\nAnswer: -2.9968851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 2*f**5 + 0 + f**5 + 2*f**2 - 2*f**2 + (3 - 2*f - 3)*(-2*f**4 + 2*f**4 + 2*f**4) + 3*f**5 + f - f + (-f**2 + f**3 + f**2)*(-f**2 - f + f).\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tggzjvc. Give prob of sequence tcz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**3\/11 - 33106*h**2\/11 + 137017456*h\/11 - 136984352\/11.\nAnswer: 2*(h - 8276)**2*(h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.81 from 488.\nAnswer: 488.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -12cc - -3?\nAnswer: -12c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 4 = -2*p - 4*c, -3*c = 4*p - 22. Let x(o) = -o**3 + 5*o**2 - 1. List the prime factors of x(p).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -3*k. Suppose 0 = 6*a - 5*a + 4. Let b(f) = f**3 + 5*f**2 + 3*f + 1. Let g be b(a). Put -1, k, g in descending order.\nAnswer: g, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 72036311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Do -18 and -31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 2*q + 8. Let g be z(7). Calculate the highest common factor of 22 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -10*k + 37*k**4 + 5*k - 4*k - 10*k**2. Let b(f) = -18*f**4 + 5*f**2 + 4*f. Let t(r) = -9*b(r) - 4*h(r). What is the third derivative of t(y) wrt y?\nAnswer: 336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 84515085, 84515083, 84515081, 84515079, 84515077?\n\"Answer: -2*j + 84515087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 3*v**2 + v - 2. Let a(u) = -8*u**2 - 3*u + 5. Give -4*a(s) - 11*i(s).\nAnswer: -s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -84*s - 8*s - 14374 + 2919 = 53*s for s.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 2 - 3)*(1 - 6 + 9)*(13*c - 7*c**2 - 13*c)*(-1 + c + 1).\nAnswer: -56*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*k - 0*k - 2*k. Let z(d) = -11*d + 224. What is the units digit of z(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 1271058857 and -59897.\nAnswer: 1270998960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (72\/(-120))\/(2\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6849449 millilitres to litres.\nAnswer: 0.0006849449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 146 + -146. What is the second smallest value in 5\/3, 0.164, d?\nAnswer: 0.164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -v - 15 = -6*v - 2*z, -5*z = -v + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(-2*sqrt(76) + 0 + (sqrt(76) - (1*sqrt(76) + sqrt(76))) + 2))**2.\nAnswer: -600*sqrt(19) + 17200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42 + 45 + 736*j**3 + 42 + 40 - 169.\nAnswer: 736*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2113 is divided by 421.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 2*x. Let m(p) = 143*p**2 - 59*p**2 - 59*p**2. What is i(m(l))?\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 69 or 246597\/3538?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1 - -123)*(16 + -15). Let o = n - 69. Let l = o + -30. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 20 - 26. Let c(v) = -2*v**2 - 11. Let o(a) = a**2 + 6. Determine g*c(b) - 11*o(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 22*u**2 - 7808*u - 7954. Calculate p(356).\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -4*v - 6. Let y be (-14)\/4*(-10)\/(3 - -2). Let w(o) = 23 + 15 - y + 21*o. Determine -2*w(p) - 11*z(p).\nAnswer: 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 5 - 0 - (-5)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1\/((-2)\/60*2). Suppose 708 = 3*g + 2*i, -g - i = -0*g - 235. Let c = b + g. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.03521 and -0.3.\nAnswer: 0.010563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10 - 16. Let z(b) = -3*b**3 - 9*b + 7. Let g(d) = -d + 1. Let h(o) = u*g(o) + z(o). Is h(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -132*q + 181*q - 98. Let l(z) be the first derivative of 4 + 10\/3*z**3 + 0*z + 0*z**q. Let v(f) = -f. Calculate l(v(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) be the third derivative of 19*w**6\/60 - 4*w**5\/15 - 495*w**4\/8 - 2*w**2 + 391*w. Find the second derivative of k(f) wrt f.\nAnswer: 228*f - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 351\/108 - 3\/(-4). Let t(d) be the first derivative of 4\/15*d**3 - 2\/15*d**6 - 2\/5*d + u + 2\/5*d**4 - 2\/5*d**2 - 2\/25*d**5. Let t(m) = 0. What is m?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 2*l**2 + 10*l - 10*l. Let h(b) = -b**2 - b - 1. Let m(n) = n**2 + 2*n + 2. Let s be (-5)\/15 + 7\/3. Let x(i) = s*h(i) + m(i). What is x(k(j))?\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/13370 or 1?\nAnswer: 1\/13370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 3*y**2 + 3*y + 2. Let g be x(-1). Solve 5*s + 1 = 4*h, -2*h = s - 3*s - g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*i - 14*i + 31 = 0. Differentiate 22 + 16 + 3 - i*g wrt g.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2)\/(-32) - 120923\/176. Is q at most -690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Find c such that 7*c**2 + 22*c - 8*c + 11*c**2 - 10*c = 0.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 114377882 to the power of 1\/2, to the nearest integer?\nAnswer: 10695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that -2*u**2 - 372*u - 370 = 0.\nAnswer: -185, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 66.51 + -66. Let n = s + -0.71. Suppose 4*y - 3 = -5*z + 6*z, 1 = -y + 2*z. What is the nearest to n in y, 1\/3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1417, 2815, 4203, 5575, 6925, 8247?\nAnswer: 9535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b + 18. What is the remainder when x(9) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/15 (b) 8\/4573 (c) 109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1.7 - 6.6?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = -660 - -658. Let o(k) = -19*k - 14. Let g be o(q). Calculate the greatest common factor of g and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 139937 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the second derivative of v**7\/10080 + v**6\/2880 - v**5\/240 + 25*v**4\/4 - v**2\/2 + 132*v. Let g(z) be the third derivative of k(z). Factor g(h).\nAnswer: (h - 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 82*m - 80*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -2 + 13*a - 3*a - 2*a**2 + 17 + 3*a**2. Let i(q) = 31*q - 131. Let n be i(4). Let v be b(n). Are -6 and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - (-8 + 32 + -18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q**2 + 7*q - 6. Let n be c(-8). Suppose -n*r + 0 = 14. Let o(h) = 2*h**2 - 11*h - 17. Is o(r) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**2 - 3174*k - 3172.\nAnswer: -2*(k + 1)*(k + 1586)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-17 - (8 - (6 - (-9 + 5)))) + 8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6017664*j**5 + 888*j - 657 wrt j?\nAnswer: 120353280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 68 + -62. Suppose -95 - 409 = v*s. Let i = -86 - s. Sort 1, i, 0.2.\nAnswer: i, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, k: 1, r: 2, w: 4}. Give prob of sequence ww.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -13*w**3 - 12*w**2 + 9*w. Let n(h) = 15*h**3 + 8*h**2 - 7*h. Let k(d) = -3*n(d) - 2*v(d). Let u(t) = -475*t**3 + 76*t. Give -76*k(l) + 3*u(l).\nAnswer: 19*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 0.5, -0.53, -2\/195?\nAnswer: -2\/195","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand -183*y - y**2 - 24 + 183*y + (-7*y + y + 2*y)*(3 - 2 + 12*y + 1) + y**2 + 2*y**2 + 2*y**2.\nAnswer: -44*y**2 - 8*y - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 968.3982 rounded to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 7*o = -78. Suppose 3*c - 3*p = -p + 22, -c - 5*p + o = 0. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 249130062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:36 AM and 2:01 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*n + 258512 + 3977 = -164232. Is 1 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes after 5:44 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = -0*i - 3*i + 7, 1 = i. Solve 0*y = z*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -24421 or -146531\/6?\nAnswer: -24421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31910 - 31910 - 6*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -5*u - 35. Let h(t) = 4*t + 26. Let n(o) = -4*h(o) - 3*i(o). Let c be 2*3 + 0 + -1. Give n(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes after 7:21 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*v - 3141 = -43*v - 95*v - 1188 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*l - 9*l + 270 = -16*l. Sort 83, 4, 3, 1, l in descending order.\nAnswer: 83, 4, 3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 48 - 41. Let w = -5 + 6. Let p be (1 - (-7)\/w)*1. Solve 0 = -5*h + l + p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h**2 + h - 1. Let s(a) = a**2 - 5*a - 9. Let y(d) = -6*o(d) + 2*s(d). Factor y(z).\nAnswer: -4*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:01 PM and 5:12 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 66439 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1288395?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6171233 is divided by 765.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from uluuuuuuluuuluuu.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18392578 is divided by 9196265?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*w**4 - 4*w**4 + w**4 + (-4*w**3 + 5*w**3 + 0*w**3)*(0*w - w + 2*w) - 101*w**3 + 95*w**3 - 1 - 3*w**4 + 17.\nAnswer: -w**4 - 6*w**3 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 16 - 16. Let h = -0.05 + 0.02. Let q = -3.03 - h. What is the biggest value in q, -1\/2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000222523 to six dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Do 0.04 and -0.24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/8 (b) 3\/7 (c) -1\/5 (d) 4 (e) 466 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 54 and 10611.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7064255 is divided by 883029?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = -101 - -103. Let v(r) = -59*r + 59*r - d*r**2. Let q(i) = 18*i**2. Give v(q(h)).\nAnswer: -648*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 365 divided by -6?\nAnswer: -365\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -291.82 - -293.82. What is the closest to -2\/9 in -117, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*c**2*s + 18*c*s**2 + c - 536*s**2 wrt c.\nAnswer: -8*c*s + 18*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 67 - 141*i + 18 - 6 wrt i.\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from ryrau.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 434\/(-132) + 3\/27*3 and 7\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1097 in 10\/7, 0.4, 0, 9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9 and 1071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25212853?\nAnswer: 17, 23, 64483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 340\/8*((-1)\/30)\/((-14)\/168)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -93898 >= -93897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/(-18)*((-120)\/25)\/8.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z when two letters picked without replacement from ozszoassozoasz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -w + 9. Let k(d) = 2*d**3 + 25*d**2 + 7*d - 51. Let x be k(-12). Let r be o(x). What is the closest to 0.1 in r, 2\/9, -5\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*h + 4*h = -492. Suppose -190 = -5*w + 2*n - 4*n, -4*n = 4*w - h. Suppose 10*b - 754 = w. List the prime factors of b.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4 and -4384.472?\nAnswer: -17537.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-67)\/((-1608)\/112)*12\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is a338 (base 13) in base 3?\nAnswer: 1010220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 251 - 226 - (-1)\/(2\/(-10))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l**3 + 17*l**2 + 16*l + 8. Suppose 123*t + 80 = 118*t. Determine y(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -39\/2 and -71\/236?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*b*s**4 - 4*b*s**2 + 2*b*s - 7*s**6 - 20*s**2 wrt s?\nAnswer: -96*b*s - 840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -49409.7 to the nearest 1000.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2092.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let 4*v**2 - 13976*v + 3971136 = 0. Calculate v.\nAnswer: 312, 3182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 304*h - 151*h - 156*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 709*v = 523*v - 2046 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3.0053173 rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -758 - -757. Sort -3, -2, w, 0.\nAnswer: -3, -2, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 2*g + 9. Let u be (-902)\/164*1*2. Let t(j) = 34*j - 45. Let x(c) = -6*c + 9. Let s(f) = u*x(f) - 2*t(f). What is 3*b(k) + 2*s(k)?\nAnswer: 2*k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -245*s - 294. Let h be j(-2). What is the highest common factor of h and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -343 - -347. Suppose -c + 5*l = 10*l + 4, 3*c - d*l - 7 = 0. Let h(m) = -3*m + 7. Let i(n) = n - 1. What is c*h(j) + 5*i(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j be (69\/(-9) + 7)*2\/(-2). Solve 7\/3*t**3 + 0*t + 0 + j*t**2 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-x**3 + 2*x**3 + 3*x**3)*(19 - 29 + 13)*(-2 - 1 + 0) to the form v*x + f*x**2 + k*x**3 + u and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 5*n**2 - 3*n - 7. Let h = 85 + -87. Let q be x(h). Solve -3*v - 2 = -0*v + 2*m, 3*m - q = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 700189.4 milligrams?\nAnswer: 700.1894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the third derivative of 7*p**4\/24 + 7*p**2. Let o(f) = f. What is o(m(r))?\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -30411 (base 5) to base 13\nAnswer: -b95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 25 = 3*i - 4*u, i + u = 0. Suppose 338 = i*f - 2047. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 4228684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1439\/524 - -5635\/524. Factor -15\/4*f**2 + u + 129\/4*f.\nAnswer: -3*(f - 9)*(5*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.341688 - 3.38026928.\nAnswer: -3.72195728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the second derivative of 0 - 1\/2*t**3 - 9*t + 6\/5*t**2 + 1\/20*t**4. Factor d(n).\nAnswer: 3*(n - 4)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6707 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -2*f - 3. Let s be q(1). Is 5 a factor of (11 + -10)*s\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0017893 hours in microseconds?\nAnswer: 6441480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 5 - 1)*(1 + 0 + 0)*(-2 + 2 + 2*s + (-2 - 3 + 4)*(62*s - 41*s + 112*s)) as g*s + n and give g.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**4 + 324*t**3 + 318*t**2 - 324*t - 321.\nAnswer: 3*(t - 1)*(t + 1)**2*(t + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7 + -5. Suppose 0 = 4*r - 21 + 1. Let s = r + -5. Solve -2*n - z - 2 = s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 99689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 24*m*t**3 + m*x**3 + 200*m*x + 10*t**3*x**2 + 198*t*x**3 wrt m.\nAnswer: 24*t**3 + x**3 + 200*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/8*(28\/(-8))\/(-7)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 357 - 345. Solve 22*r - 19*r = f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 141 and 220386.\nAnswer: 10358142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 468 divide 3168620208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -151*p + 6 + 2*p**2 + 74*p + 79*p. Suppose 102 - 76 = a. Suppose -3*m = 11 - a. Let o(c) = 1. Give m*o(q) - g(q).\nAnswer: -2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1760\/2640)\/((-115)\/75 + 1 - 0)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from etetaa. What is prob of picking 2 a and 2 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 177 + 45a?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -11*f - 22. What is the tens digit of u(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -105*w - 4. Let q be r(-4). Suppose -12*c + q = -8*c. Calculate the highest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1659 - -1865. Calculate the highest common factor of l and 3502.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mmmmmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 93771, 187728, 281675, 375606, 469515, 563396?\n\"Answer: -f**3 + f**2 + 93961*f - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 7536563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 28879?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 6.800903l in millilitres?\nAnswer: 6800.903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) -5 (c) 24\/53 (d) 2\/7 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 6 - 3 + 1861*r + 4)*(0 + 2 - 1).\nAnswer: 1861*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 1420+-125397\nAnswer: -123977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*j - 4332 - 3732. What is the remainder when j is divided by 100?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*h + 56 - 20 = 0. Let c(d) = 118*d**3 + d**2 - 7*d + 11. List the prime factors of c(h).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -573\/7 + 82. Let j = -168 - -164. Sort 2, b, j.\nAnswer: j, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 7*b - 3*b. Let q(a) be the third derivative of -a**6\/120 + a**5\/12 + 5*a**4\/24 + a**3 - 431*a**2. Determine q(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 3*u**2 - 5*u - 36. What is the remainder when v(7) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -15, -6, 3?\n\"Answer: 9*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 38*v - 7*v - 32*v. Let l(n) = 21*n**2 + 9. Let z(m) = -5*m**2 - 2. Let q(b) = 2*l(b) + 9*z(b). Determine q(p(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**3 - 10*t**2 + 8*t + 4. Let r be j(9). What is the nearest to 0 in r, -10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (2*(-4)\/24)\/1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c**3 - 22*c**2 - 40*c - 4. Let v be t(-20). Is -10 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(-12*10\/1240)*33\/88*8?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2165405 and 1.7?\nAnswer: -3681188.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = 3*t + 10*t. Suppose -1056 = -5*w + 3*r, -2*r = -5*w - t*w + 1054. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -257\/4 + 64. Let p = -2.95 - 0.05. Let u = 4 + 0. What is the nearest to z in 3\/2, p, u?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-2)\/(-10) - 2352\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*c - c**2 + 7*c + (3*c - 3*c - c)*(-4 + 4 - 2*c) - 2*c**2 + 0*c**2 + 4*c**2 - 2*c**2 + 2*c**2 + c**2 + (-3*c + 5 - 5)*(-3 + 3 + 2*c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that o**2 + 31833*o - 222880 = 0.\nAnswer: -31840, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -27 - -27.44. Let x = 0.06 + r. What is the nearest to -0.1 in 3, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/18 - 6\/(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 244, 968, 2176, 3868, 6044, 8704, 11848?\nAnswer: 15476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5.000709 minus 29?\nAnswer: -34.000709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 20000102102 (base 3) to base 13\nAnswer: 41b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 44\/198 + -1 + (-1726)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.069 times 0.2?\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 147 - 118. Let t = s - 29. Let i be t + (2 - (2 - 4)). Solve 3*q - 3 - 2 = 4*h, 0 = -i*q + 5*h + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/(-3) - (-15)\/45. Let o be (2\/1)\/((-1)\/5). Sort l, o, 3.\nAnswer: o, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1 + 0 - -7) + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 5, r: 1, c: 5}. What is prob of picking 3 c?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51*u - 8 = -10 + 2. Solve -2*m + 2 = 3*y + 1, u = -y - 4*m - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1756647 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ioymoi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22549 divided by -6.\nAnswer: -22549\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eajaakaajjcaeekkaa. What is prob of sequence ac?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 2 = 2. Let d be (-10)\/(-6) - (32\/(-12))\/t. Which is greater: -2\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50395 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: What is the value of -13 + 28 + (-1 - 9) + -7 - 25?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*t + 71 = -28*t. Let n = -35 - t. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**2 + 16*w - 23. Let f = -274 - -281. Let r be y(f). Calculate the highest common divisor of 130 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 53320\/8815 + 4\/(-82). Let p(t) = t**2 - 7*t - 3. What is p(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000014252 rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 1, 0, -5, -657 in decreasing order.\nAnswer: 4, 1, 0, -5, -657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 233785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 0, 0.1, 0.5, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 6137, 12337, 18545, 24755, 30961, 37157, 43337?\n\"Answer: -r**3 + 10*r**2 + 6177*r - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 2 - (1 + 6 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0 + -1*(8 - 4). Sort -3, g, 58, 0.4 in descending order.\nAnswer: 58, 0.4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-26)\/(-14) + (-1928504)\/71806?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**(-1\/10))\/t**(-5)*(t\/(t*t*t**1*t))\/t**(-6\/11) assuming t is positive.\nAnswer: t**(379\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 225 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t and 1 r when three letters picked without replacement from rrqyttttrrrrvt.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -10*k + 2. Let u be z(-9). Suppose -3*o + 76 = -u. Let c be (-6)\/21 - (-51)\/7. Calculate the highest common factor of o and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**2 - 5*f + 19. Let q be n(-7). Let x(d) be the second derivative of 7\/12*d**4 + 1\/20*d**q - 5*d + 0 + d**3 - 3*d**2. Determine x(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*x**4\/7 + 2528*x**3\/7 + 811260*x**2\/7 + 7764768*x\/7 - 30664062\/7 = 0. Calculate x.\nAnswer: -627, -13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 27387 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l be -3 - (-3 + 3 - 157). Suppose -4*y = -5*w + l, -4*w - 5*y + 88 = -2*w. Let t = -16 - -28. What is the remainder when w is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 65821 = 4*i - 122176, 4*u - 187992 = -4*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.0811+-16\nAnswer: -16.0811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 608280 + 97?\nAnswer: 608317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -40.2 + 40. Let k = 0.2 + -0.1. Which is the nearest to k? (a) -5\/3 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7283920.\nAnswer: 2, 5, 7, 13007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4 + 0. Let v = -356 + 358. Suppose -128 = -k + v*z + 909, 3*z = b*k - 4133. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(88)\/((-2*sqrt(88))\/sqrt(11)) - (-3 + 6*(sqrt(11) - (sqrt(11) + ((sqrt(11)*-2)**2 - sqrt(11))))).\nAnswer: -13*sqrt(11)\/2 + 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + (13 - -5) + -19.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 366983 is divided by 73388?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1 + -1.1. Let t = 1451 + -1446. Let p = -0.1 + -0.9. Sort p, f, t in descending order.\nAnswer: t, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 489 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -234 (b) -4 (c) 0.7 (d) -1 (e) -1\/4 (f) 937\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*u**2 - 139756*u + 489244.\nAnswer: -4*(u + 17473)*(2*u - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -2, 2\/17, 2\/229, 0, -285, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 4\/5, -63\/44, 0.4, 1\/5, -1\/13?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s\/s**(-5\/2))\/s)\/s**22)\/(s**7\/s*s*s\/(s\/(s*s\/(s**(-2\/15)\/s)*s))) assuming s is positive.\nAnswer: s**(-919\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6*1\/4*2. Let z be (-2)\/(-2) - 651\/654. Let t = z - -649\/1090. Which is the nearest to 0? (a) t (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7 + -2. Suppose 0*x + 16 = 3*x - l*d, -10 = -2*x + 3*d. Find the second derivative of -4*p**2 - x*p + 3*p + 2*p**2 wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 - 2010212101101?\nAnswer: -2010212101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from sgqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 3, l: 2, c: 3}. What is prob of picking 2 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 48*m**3 + 4*m - 1. Is c(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4*(-1)\/6*24. Let o be 6 + -1 + (8 - 10). Put v, -1, o in decreasing order.\nAnswer: o, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40388219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1879 a factor of 296134158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in 1\/2, 1\/4, -1\/6, -763, 252\/5, 0.02?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**21\/q)\/q*q**(2\/17)\/q*(q**3\/q)**40 assuming q is positive.\nAnswer: q**(1668\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -13*q**2 + 3754*q - 3641. Let p(a) = 10*a**2 - 3755*a + 3647. Let c(b) = 4*h(b) + 5*p(b). Differentiate c(z) with respect to z.\nAnswer: -4*z - 3759","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 8*g = 4*g. Suppose 4*j - 1 = -5. Sort g, j, -2 in decreasing order.\nAnswer: g, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 907.8028 micrometers in centimeters?\nAnswer: 0.09078028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 17 - 9. Let r be 334\/c - (-3)\/12. Calculate the highest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**2 - 11*a - 8. Let l(h) = h + 1. Let g(q) = -b(q) - 6*l(q). Give g(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the third derivative of -1\/180*q**4 + 0 + 0*q**3 + 0*q - 1\/450*q**5 + 1\/1575*q**7 + 2*q**2 + 1\/900*q**6. Factor w(b).\nAnswer: 2*b*(b - 1)*(b + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -24*w**3 + 216*w**3 + 113*w**3 - w**3 - w**3 + 0*w**3 + (6*w**3 - w**3 - 3*w**3)*(2 + 0 - 4) + 2*w**3 - 2*w**3 + 2*w**3.\nAnswer: 301*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1185946703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4259, -7789, -11335, -14903, -18499, -22129?\nAnswer: -25799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3148 + 3161. Let i be 1*(-39)\/(-15) + -2. Which is bigger: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -25*p + 23784. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = g. Let x(h) = -h**2 + 5*h + 3. Let o be -3 + -2 + -1 + 5. Let v(l) = o*x(l) + 6*y(l). Give v(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7808238 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 times -44?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35*x**3 + 45*x**3 + 9*x**3 + 5*x**3 + 82*x**3.\nAnswer: 106*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 298 + -306. Is 3 + z + 12623 - 7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 3 f when four letters picked without replacement from {o: 1, f: 4, u: 5, j: 3}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 0*v**3 + 2*v**4 + 0*v**3 + (v**2 + v**2 - v**2)*(-4 + v**2 + 4) - 375*v**4 + 172*v**4 - 676*v**4 as w*v**2 + p*v**3 + x*v + y + f*v**4 and give f.\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -5*s + 70. Let h be z(13). Suppose -2 = 2*v, 4*v - 7 = h*f + 4. Let g(k) = -3*k + 4. What is g(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**2 + 6114*y + 190421. What is q(-31)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 164 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -157940, -157937, -157934, -157931?\n\"Answer: 3*w - 157943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:05 PM and 11:18 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 3*u**2 + 8*u - 5. Let m be j(-3). Is m smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 560 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1140 - 1139 - 6663*p**2 + 99*p**3 + 6663*p**2 + 2279.\nAnswer: 99*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 212 divide 4113215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2.4 - -7.56. Let c = -0.16 + m. Put c, 17, -1, -0.1 in ascending order.\nAnswer: -1, -0.1, c, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (494\/65)\/19*(-3)\/6*3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 191705.\nAnswer: 5, 23, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -474*s**2 - 479*s**2 + 951*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 431? (a) -1\/3 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 30b02c (base 13) to base 4\nAnswer: 10111312210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**2 + 27*a - 1675. Is 11 a factor of l(-66)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the second derivative of 37*y**3\/6 + 15*y**2 + 13*y. Differentiate c(g) with respect to g.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o + 0*o + 5 - 4)*(-4*o + 4*o - 8*o**2).\nAnswer: 8*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 12 + -47?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -20390*l + 4*l**3 + 20393*l + 2*l**2 + 2*l**3 + 7 to m*l + g*l**3 + v*l**2 + j and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7 - -1. Let n be (-1)\/6 - 5681\/(-138). Let b = s + n. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor u**2\/2 - 869*u - 10500.\nAnswer: (u - 1750)*(u + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 - w + 3*w + 8*w)*(-4 + 1 + 0)*(2 + 0 - 1) in the form f*w + u and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-4))\/(3\/(-3)*-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = -5*c + 3*q, 0 = -3*c + q - 0 - 7. Let o = 3 - -39. Let f = -42.02 + o. Sort c, f, 0.3 in ascending order.\nAnswer: c, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, 0, 2, -45, -4, -3 in ascending order.\nAnswer: -45, -4, -3, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -492*t**6 + 13*t**2 - 12*t wrt t.\nAnswer: -59040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 9314 divided by 197?\nAnswer: 9314\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1 + 6*1\/(-40) and -67\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -87981 or -1?\nAnswer: -87981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 230781*a - 692226*a + 230722*a + 230721*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -25 times -7441\nAnswer: 186025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.666 - -0.166. What is the closest to 2 in 0, f, 4\/5, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 11) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -69 - -67. List the prime factors of ((-2 - 2) + a)*392\/(-21).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 149 = 3*a - 1. What is the greatest common factor of a and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -j**3 - 20*j**2 + 17*j - 4. What is s(-21)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -26086836*r**3 - 90030*r**2 - 155*r + 2.\nAnswer: -156521016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w + 9. Let s(j) = 18*j + 27. Let i(x) = 3*r(x) - s(x). Let z(q) = -190*q**2 - 2. Calculate i(z(f)).\nAnswer: 3990*f**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from uhqdqdnha.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 75839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 21410966 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 8.36 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 276980909.\nAnswer: 733, 377873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 2*u**2 + 1 - 1 - 4*u**2 + 5*u**2 + 6*u**2 + (-2 - 3 + 3)*(-u + 2*u**2 + u) + 2*u**2 + 0*u**2 - u**2 in the form w*u + b*u**2 + v and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 71\/4 and 61\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 22.25 + -22. Let k = z + -0.35. Let w = -0.05 - -2.05. Put w, 3, k in decreasing order.\nAnswer: 3, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 9*r. Let l(i) = -2*i**2. Calculate h(l(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -0*i + 4. Let f(o) = -84983*o - 2 - 2 + 3 + 84986*o. Let k(h) = 1. Give i*k(j) + f(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -316835.666 - -29.892?\nAnswer: -316805.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is u in -139*u + 168*u**2 - 214342*u**3 - 25*u + 214338*u**3 = 0?\nAnswer: 0, 1, 41","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\/5*c**5 - 1\/6*c**3 + 0*c**4 + c**2 + 0. Find the first derivative of l(b) wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21172 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 45 divide 1684305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 - 1 = -3*l - z, 5*l + 3*z + 13 = 0. Sort 5, 3, l in decreasing order.\nAnswer: 5, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*y**2 + 8*y**2 + 67 - 7*y**2 to b*y**2 + p + k*y and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i**9\/i))\/i**(-9))**18\/(i**(-4\/7)*i*i**(1\/2)*i*i*i\/(i**(2\/7)*i*i)*i*i**(-5)) assuming i is positive.\nAnswer: i**(537\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -2*a**3 + 78*a**2 - 38*a + 810. What is p(39)?\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (0*(-4)\/12)\/1. Solve 4*s - 4*z + i*z - 8 = 0, 0 = 3*s - 5*z - 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-215)\/(-35)*164\/1763?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -35*r + 765. Calculate v(19).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 3 + 0)*(0*y + 3*y**2 + 0*y).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -1 - (-4 - -4) - (-1 + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -121 (base 3) to base 15\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2*t**4 - 1)*(3 - 3*t - 3) + 12*t**5 + 2*t**5 - 8*t**5.\nAnswer: 12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -3.4 times 0.7\nAnswer: -2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 220000 = -3*i. Suppose -12*w + 17*w = -i. What is w rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1569845995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -49586 = -48*p - 48434 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -23651, -23599, -23513, -23393?\nAnswer: -23239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = o**2 - 15*o + 8. Let y be t(12). Let j be 5 - 3 - y\/2. Let h = j - 12. Solve 5*q = 4*l + 23, -2*l = -5*q - h + 23 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -22*i**2 + 121*i - 16*i - 4*i**2 wrt i?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 17 and 1037.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3094 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*k**2 - 3213469859559*k**3 + 3213469859558*k**3 + 13*k**2 - 21*k**2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -r**4 + 4*r**4 - 4*r**4 + (-8 + r**3 + 8)*(-1 - 5*r + 1) + r**4 + 0*r**4 + 2*r**2 - 2*r**4 + (-4*r**4 + 4*r**4 + 7*r**4)*(0 - 3 + 0).\nAnswer: -28*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10 + 2200222112010?\nAnswer: 2200222112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -91\/10050 and -2\/2345?\nAnswer: 70350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 9871130*f**3 + 5094489*f?\nAnswer: 59226780*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = t - 1. Let v(z) = -6. What is -2*o(m) + v(m)?\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 0.19234, 209, 1\/9 in descending order.\nAnswer: 209, 0.4, 0.19234, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -9*h**6 - 913000*h**4 + 15512932*h**2 wrt h?\nAnswer: -1080*h**3 - 21912000*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34950.\nAnswer: 2, 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -3011 (base 11) in base 13?\nAnswer: -1a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -26.48954 and -7.\nAnswer: 185.42678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -309*l + 5*l**3 + 17*l - 9*l**3.\nAnswer: -4*l**3 - 292*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 217 minutes after 2:38 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 118156.\nAnswer: 2, 109, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -a30b (base 16) to base 14.\nAnswer: -112d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.6682 and 75?\nAnswer: -50.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*y**3 + 140*y**2 + 1195*y + 2860.\nAnswer: 5*(y + 4)*(y + 11)*(y + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m + 9. Suppose 2*a - 5*g - 42 = a, 5*g = -5*a + 90. Suppose -f - 27 = -a. Give b(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 52 = -4*a, -7*v - 42 = -2*a - 2*v. Calculate the greatest common divisor of 297 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b**3 - 12435*b**2 + 49717*b - 8. Calculate f(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 91*h**3 + 6*h**2 - 14*h + 8. Determine y(-4).\nAnswer: -5664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-11))**14\/((l**(4\/9)\/l)\/l*l)**(11\/5))**(-3\/4) assuming l is positive.\nAnswer: l**(1375\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -22, -54, -100, -166, -258, -382, -544?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 263 + -263. Let f(i) be the second derivative of 1\/2*i**4 + 4*i + 0 + c*i**2 + i**3. Find the second derivative of f(y) wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 158048, 632158, 1422336, 2528576, 3950872?\nAnswer: 5689218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m\/m**(-25))**(-1\/5)*m\/(m**24*m)*m*m**(-5\/4) assuming m is positive.\nAnswer: m**(-593\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 109.8229837 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) be the second derivative of o**4\/12 - o**3\/6 + 2*o**2 - 4*o. Calculate s(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4826, -9682, -14538, -19394, -24250?\nAnswer: -29106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1236292828?\nAnswer: 2, 43, 491, 14639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -26 - (18 - (-24 - (15 - 45)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -1 + i - 7 + 8. Let j(m) = -2*m**2 + 2*m + 3. Suppose 3*s + p = -17, 0 = 4*s - 5*p - 29 + 20. What is s*h(x) + j(x)?\nAnswer: -2*x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 430046027.\nAnswer: 421, 1021487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 211585 divided by -5.\nAnswer: -42317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -24 - 2. Let c = y + 27. What is the nearest to -1 in c, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1897 divide 702288370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 100021 (base 3) to base 8.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2\/17 + -28\/51. Suppose 26 + 14 = 8*u. Suppose -9 = -u*r - 19. Which is the nearest to 0.1? (a) 1 (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 7*s**3 - 7*s - 4. Let j = 69 - 36. Let i(q) = -57*q**3 + 57*q + 33. Let m(l) = j*h(l) + 4*i(l). Let m(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1075? (a) 14 (b) 1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v\/v**(-1\/14))\/(v\/v**(6\/13)*v*v*v) assuming v is positive.\nAnswer: v**(-267\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**3 - 8*h**2 + h - 2. Let q be y(-8). Let n = q - -13. Suppose n*g - 24 = -6. Let a(r) = r**2 - 7*r + 5. Give a(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes before 5:36 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 439 in -0.5, 1\/2, -10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the third derivative of -s**7\/140 - s**6\/120 + 2*s**3\/3 + 3*s**2. Let w(g) be the first derivative of q(g). Factor w(z).\nAnswer: -3*z**2*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -2716190*9\nAnswer: -24445710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2806832 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 765 is divided by 110.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*v**2 + 2 - 2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/(-2))\/(((-26)\/8)\/13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 638.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 17*p + 19*p - 1171*p**5 - 7*p + 7*p + 74*p + p**2 wrt p?\nAnswer: -70260*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -504*f - 706. List the prime factors of d(-12).\nAnswer: 2, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 3 - 7 = 2*n, -25 = -5*n - 5*o. Let f be (n + -4)*1 - -11. Differentiate -f*b**4 + 6*b**4 + 0*b**4 - 7 wrt b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4852575 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -82*f + 831. Calculate x(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-8 - -12)*3\/(-12)*-3. Let m be (2\/h)\/(3 - 230\/78). Solve 0 = -m*u + 12*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (14 - 15*v + 36 + 17*v + 51)*(-37 + 35*v**3 + 37).\nAnswer: 70*v**4 + 3535*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((1*sqrt(352) + sqrt(22) + -2*sqrt(198) + sqrt(198))*6)\/(-3*sqrt(2)*-1 - (sqrt(250)\/sqrt(5) - sqrt(50) - sqrt(50))))**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 4, g: 10, y: 6}. Give prob of picking 2 g, 1 y, and 1 w.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -13, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -9df36 - -1?\nAnswer: -9df35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4194\/(-699)*4\/30*(-55)\/176.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(816))\/(sqrt(432) + sqrt(432) + sqrt(432) + sqrt(432)*-2).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*h*r**3*w*z**2 + 618*h*r**3 + 4143822*h*r**2*w*z**2 - h*r**2*w + 145*h*r*w*z - 91*r**3*z wrt z.\nAnswer: 12*h*r**3*w + 8287644*h*r**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -61229*d**4 + 26063*d**2 + d + 1 wrt d.\nAnswer: -1469496*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 47 + -38. Find the third derivative of 24*k**4 - 22*k**2 + 10*k**2 - y*k**2 wrt k.\nAnswer: 576*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 3*q**2 + 11*q - 49. What is l(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes after 6:45 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((a*a**(1\/4))\/a*a)\/a)\/a**(-4))\/(((a\/((a\/a**(-7))\/a))\/a*a)\/(a**14*a)))**(-31) assuming a is positive.\nAnswer: a**(-3131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2.06 + 0.06. Let l = -5 - s. Let g = 2201 + -2203. Which is the second biggest value? (a) l (b) g (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -7820904 by -100268.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 220 a factor of 15005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:27 PM and 4:37 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -375*t**3 - 1169*t**2 + 766*t**3 + 1169*t**2 - 384*t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be -6 + (-10)\/35*7. Which is greater: i or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1391.\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = -107 - -155. Suppose -7*o = -3*o + 148. Let i = o - -53. Calculate the greatest common divisor of i and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u + 20*u = 16520. Suppose -u = 2*v - 4*z, 2*z - 332 = -2*v - 1512. Round v to the nearest 10.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = 2*c - 6, -3*c - c - 5*i - 8 = 0. Let y(x) = -2*x - 16. Let f be y(c). Let k = -0.2 - -0.7. Put f, -0.4, k in ascending order.\nAnswer: f, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.3, 3, 305?\nAnswer: 305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.05 and -0.213.\nAnswer: -0.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 13619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3868472 is divided by 448.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = -14 - -9.2. Let s = -0.2 + y. Let v = -32 + 158\/5. Which is the smallest value? (a) s (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2322, 1, -1, -7, 0 in decreasing order.\nAnswer: 2322, 1, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w + 6 - 3. Suppose 2*k = w*k + i - 9, -i = -5. What is the second derivative of -4*a + 16*a**2 + k*a - 13*a**2 + 21*a wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1175, 4691, 10557, 18773, 29339, 42255?\nAnswer: 57521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 41\/(17835\/840) + -4 + 2\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -130*w = 73*w + 4060 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -1. Let r(a) = 2*a**3 - 2. Determine -2*o(j) + r(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-74)\/14 + (-4)\/(-14). Let l(k) = 2*k**2 - 2. Let o be l(3). Let x be 92\/o - 3\/4. Sort h, 3, x.\nAnswer: h, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*h + 29*h - 8 = 0. Factor 12*j**3 + 3*j**h - 11*j**3 + 1 - 5.\nAnswer: (j - 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 12\/7 - 10\/(-35). Suppose 4*r - 156 = -3*j + 2*j, 4*j = g*r + 552. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2212202 - -10320330?\nAnswer: 13133132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7064?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddy when three letters picked without replacement from vyydyyyyyyyyydvdyv?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 38065 and 1265?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 173226706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3.23 + 1.61. Let n = 1.620000887 + o. What is n rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7401934*f**2 - 16*f - 130101 wrt f.\nAnswer: -14803868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be (0 + (-5)\/(-2))*2. Let v(a) = a - 1. Let n(i) = -2*i + 2. Let w(m) = -3*n(m) - 4*v(m). Is 5 a factor of w(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 308230000 to the nearest 1000000.\nAnswer: 308000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3.14? (a) 4 (b) -2\/3 (c) -272 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, y: 2, j: 1, l: 1, o: 1, m: 1}. What is prob of sequence jl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -5490 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*k - 10800 = 2*k. Let v = 547 + k. Solve 0 = -0*h - v*h + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (496\/(-372))\/((-5)\/(15\/(-18)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1277, 5092, 11449, 20348, 31789, 45772, 62297?\nAnswer: 81364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 65.55 - 65.75. Put w, -8\/15, -5 in ascending order.\nAnswer: -5, -8\/15, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 3 - 2981*a**2 + 712*a**2.\nAnswer: -2269*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j be 75\/6 + 2\/(-4). Let n = j + -8. Let i be n\/(-10) + 12\/5. Solve 3*r - 2*r + 7 = 3*b, -i*r + 10 = 2*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a**4 + 30656*a**3 - 56773816*a**2 - 7522522560*a - 240855192900 = 0 for a.\nAnswer: -63, 3895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q**(1\/9))\/q**(-2\/13))\/(q**(2\/3))**(-34) assuming q is positive.\nAnswer: q**(2800\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*(c*c*c**(2\/5))\/c*c*c\/c**(4\/7)*c*c**(4\/9)*c**(-1\/2))\/((c**(-1)*c**(-4))\/(c**(-1)*c)**(-12\/11)) assuming c is positive.\nAnswer: c**(6157\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-16 + 16 + 24*k)*(k**2 - k**2 + 2*k**4)*(-16 - 17 - 27).\nAnswer: -2880*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 187*z + 416 + 2950. Let q(f) = -f**3 - 20*f**2 - 39*f - 55. What is q(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 34 - 91 + 34 - 5*k - 511*k in the form f + z*k and give z.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -3*t. Let w(l) be the third derivative of 19*l**2 + 0 + 0*l**3 - 5\/4*l**4 + 0*l. What is r(w(u))?\nAnswer: 90*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the second derivative of y**4\/12 - 5*y**3\/6 + 2*y**2 - y. Let c be s(6). Is c bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28232*d = 5*l - 28228*d - 19, 2*l + 3*d = 16 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 4800 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u**2 - 6. Calculate h(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzj when three letters picked without replacement from jjojoozjooozjjjo.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 160714417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 680.6954147 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 845636726?\nAnswer: 2, 11, 41, 877, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 14 minutes before 6:04 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 9) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(55)\/(2*sqrt(80) + sqrt(80)).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002109868 to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 13, y: 6}. Give prob of sequence yw.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2\/(1 - -37))\/(25 + -27). Let b be (-3 - -1)\/((-4)\/(-2)). Is y greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 2*s**2 - 5*s - 7. Give n(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -5*f - 23, -2*w + 5*w + 4*f + 7 = 0. Suppose -2*i = g + 6, 0*g - 9 = 3*g - w*i. Put g, 2\/3, 2\/11 in ascending order.\nAnswer: g, 2\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.109 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**2 + 7*h - 2. Let g = -79 - -83. Suppose -7*n + 10*n = -4*u + 8, 3*n = g*u - 32. Give o(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*q = -6*q + 493. Solve q + 11 = -8*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17882411?\nAnswer: 349, 51239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -297 - -358. Calculate the remainder when y is divided by 38.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s**2 - 6*s + 7. Suppose -2*p = -2*v + 14, p - 2 = -2*v - 3*p. Calculate the lowest common multiple of m(v) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 503930 and 6260?\nAnswer: 1007860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 5*v + 0 = 30, -8 = -2*v. Which is bigger: g or -17\/4?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 69 + (-2 + -6 - -7) + (-10 - -8) + 13?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 29069 and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 0.2 bigger than -267797.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 20570 divided by 5\nAnswer: 4114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2228048 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2932 is divided by 582.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 28607 - -68890.5953\nAnswer: 97497.5953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 58 a factor of 715952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -3 + -9456\nAnswer: -9459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 16807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2 + 0 - 26\/12 - 0. Which is the third smallest value? (a) 2\/9 (b) 4 (c) p (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 86 divide 464621199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 659.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*l = -15*l - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -116*l + 105*l = -66363. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 106360946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w be (12\/(-2))\/(-30) - (-627)\/15. Suppose 47*n = w*n + 2*l + 8, 2*l = n. Let m be 2\/(-5) - 26\/(-40). Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 + 0 + 0)*((0*u + 0*u - u**2)*(-3*u - 2*u + 4*u) - 2 - 4*u**3 + 2) to the form a*u**3 + g*u**2 + i + y*u and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7643 is divided by 452.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71984 = -3*h + u + u, -4*h = 2*u - 95974. What are the prime factors of h?\nAnswer: 2, 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) be the third derivative of 17\/60*h**6 - h**4 - 1\/60*h**5 + 0*h + 0*h**3 + 92*h**2 + 0. Find the third derivative of d(v) wrt v.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:43 PM and 9:11 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 506 divided by 46.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -3*b - 15. Let t be o(-7). Let s(j) = j - 7. Let a(p) = 2*p - 15. What is t*a(q) - 13*s(q)?\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*o + 2*o + 2*o**2)*(o + 15 - 5*o**2 + o**2 - 9) + 8*o**4 - 3*o**4 - 3*o**4 to the form c*o**4 + k*o**3 + l*o**2 + n + b*o and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 10*x + 41*x - 51 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -g**3 + 13*g**2 + 15*g + 15. Calculate the remainder when o(14) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*r**3 + r**3 - 210958*r**2 + 210958*r**2 + 2*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -0*g. Suppose 0 = -c + 3*z + 232, g = -c - 4*c + z + 1160. List the prime factors of (-10)\/(-45) - c\/(-9).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 92 = 4*i, 5*i = -2*a + 46 + 46. Suppose -142 = -8*p - a. Calculate the lowest common multiple of 6 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the second derivative of 4*y**3 + 7*y + 8. Let w(z) = -5*z. What is n(w(t))?\nAnswer: -120*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 14*b**2 + 118*b - 219. Let r be i(-10). Let s = -75077\/129 - -582. Is s <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hvmpvvqvvvppvppppqpp. What is prob of sequence pvq?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 31263268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -605*o + 1793. Determine n(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-5 - 3\/12*-22)*8. What is the third smallest value in 5, 8, f?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from twwjwtwvjvvjwjj. Give prob of picking 4 j.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1825 smaller than 1789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 27\/4 of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -6124, -6130, -6136, -6142, -6148, -6154?\n\"Answer: -6*n - 6118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 23425*t - 23462*t + 59776 + 17554. What is the lowest common multiple of t and 627?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -13*y + 25. Let z(a) = -3*a + 6. Give 2*l(b) - 9*z(b).\nAnswer: b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 21 = 3*k, 0*k - 4*k = -4*z + 20. What is the closest to z in -1\/2, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7\/22 + 3\/44. Let y = 1179 - 1177.2. What is the second biggest value in 1\/4, y, 2, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3020 + 3059.465. Let v = l - 40.5. Let w = -0.045 + v. What is w rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3406194 and 3366?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 116 smaller than -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*h + 44*h - 3*q + 8323 + 1068 = 0, -2*h - 5*q = 203 for h.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 21355 - -16?\nAnswer: 21404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -9583, -9645, -9749, -9895, -10083?\nAnswer: -10313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (5\/((-100)\/24))\/((-6)\/15). Solve 6*b - 3*b - 20 = -4*n, 25 = y*b + 5*n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 440*t - 285 = 459*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -186568, -752655, -1696134, -3017005, -4715268, -6790923?\n\"Answer: -188696*w**2 + w + 2127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4967201 to the nearest integer?\nAnswer: 2229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -121200202 + -12001222212?\nAnswer: -12200200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 1144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 5672 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 1197000 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -243\/5 (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3151, 760, -3209, -8756, -15881?\nAnswer: -24584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -6230.7 to the nearest 10.\nAnswer: -6230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (20\/(-250)*1)\/((-2)\/2)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**3 - 4*f + 163*f**2 - 24 - 9*f - 175*f**2. Determine s(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1419 - 1414. Let p be ((-3)\/9)\/(1\/(-9)). Suppose -d*v + 73 = p*i, -2*v = 3*i + 2*v - 71. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 55463 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 314 - 359 = -d. Is 7 a factor of d\/(-60) - 4881\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.00914591 - 0.\nAnswer: -0.00914591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 215\/153 - 11\/153. Let b(f) be the first derivative of 1\/2*f**4 - 30 + 3\/2*f**2 + 0*f + g*f**3. Calculate b(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of (12428 - -5) + -6*3\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 - 62\/30 - 6\/(-9)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -9*i**2 - 23*i**2 - 6 + 6. Let h(f) = 505*f**2 + 509*f**2 - 1012*f**2. Determine u(h(t)).\nAnswer: -128*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be (718 + -716)\/(2\/3). Solve 4*c - o*f = 10, 2 = 5*c + 4*f + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 32 = 5*u, -3*u + 4*u + 12 = -4*l. List the prime factors of l\/6 - 205\/(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -31*i**2\/6 + 30*i - 125\/6 = 0. What is i?\nAnswer: 25\/31, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**2. Let c(u) = -115*u + 17421. Calculate c(r(m)).\nAnswer: -115*m**2 + 17421","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0176 rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p = 9, 2*p = -3*o + 4*p + 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 18 + -13. Suppose 4*r - h = -22 + 163, -5*r + 175 = -h. Let k be r\/(-14) - 1 - -3. Which is the biggest value? (a) k (b) s (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -112110033 (base 4) in base 13?\nAnswer: -327b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 - -9. Suppose 5 = 5*w - 2*r - d, 2*w - 16 = -2*r. Calculate the lowest common multiple of 2 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001250925864 to six dps.\nAnswer: -0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 2*c + 319 = 5*c, -2*w = c - 157. Let s = 83 + w. List the prime factors of s.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 2, 4, -78, 0.37, 16?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 3019080733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 14, k: 1}. Give prob of sequence lk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1364756 divided by -271?\nAnswer: -5036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -503, -1602, -3437, -6008?\n\"Answer: -368*o**2 + 5*o - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.5 (b) 4\/3 (c) 4 (d) 12.2 (e) 3\/11 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = f + 4, 5*f = -n + 2*f + 16. Suppose -2*p - p + 10800004 = n*h, -2*h = -5*p + 17999998. Round p to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -3*i**2 - 214*i - 637. Give q(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in -23, 3.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -20 (base 4) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -221, -421, -619, -815?\nAnswer: -1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**(-2\/7)*m)**(-2\/5)*m**10*m*m**(2\/3)*m assuming m is positive.\nAnswer: m**(1258\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -3 >= -6013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 5*h**2 + 6*h + 2. Let r be o(-3). What is the highest common factor of 145 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 4, t: 6, i: 4}. Give prob of sequence iwi.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*m + 98*m**2 - 7*m**4 - 5 - 42*m**2 - 60*m**2 + m**4 + 0 + 0 + (0*m**2 + 0*m**2 + 2*m**3)*(3*m + 3*m - 7*m) - 2*m**3 + 2*m**3 + 3*m**4.\nAnswer: -5*m**4 - 4*m**2 + 7*m - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 10597387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4.8 + 5. Let u(c) = -c**2 - 10*c - 16. Let o be u(-9). Let h be o + -33*(-4)\/12. Sort h, s, -0.1, -0.2.\nAnswer: -0.2, -0.1, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 17 and 4849556.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 2, f: 8}. What is prob of sequence pp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -16 + 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 40.1 + -40.0999724. Round k to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2794133257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 39262\/14 - (30 - (-621)\/(-21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*i - 11144 = -22*i - 16*i. What is the remainder when i is divided by 91?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -446181 * 0.7.\nAnswer: -312326.7","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Solve 353*f + 69*f = 844 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 681 + -637. Calculate the remainder when n is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -d**2 - 11*d - 4. Let s be n(-12). Let h = -13 - s. Solve -5 = -5*c + p - 0, 2*p = -h*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -26 + 29. Suppose 5*h - 257 = -u*s, -2*s - 68 = -3*h + 71. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-9)\/(-15))\/(4\/20). Solve 0 = -2*o + i - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 596133 is divided by 18627.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*p**2 - 4*p**2 - 26*p**2.\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-10)\/(-5)*(-2)\/((-8)\/(-10)). Let x be 6 - (-15)\/y - 1*3. Let z = -35 + 943\/27. Which is bigger: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5 - 4*n + 5 - 3*n + n + 4*n + (2*n - 2*n - n)*(0 - 4 + 3) - n + 4*n - 5*n + (3 + 1 - 3)*(n - 4*n + 5*n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 681297 (base 10) to base 16\nAnswer: a6551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, p: 2, i: 1, b: 1, l: 1, c: 1}. What is prob of sequence pf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y**3 + 2*y**2 - 2*y + 8. Let f be c(6). Let l = -106 - f. Let u = l - 30. Calculate the greatest common factor of 18 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7 + 6. Let t = 1.09 - -0.11. Let h = t + n. Put 1\/2, h, 3 in decreasing order.\nAnswer: 3, 1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -0.13 (b) 21 (c) -11.5 (d) 13 (e) 5 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the first derivative of 179*r**4\/4 - 2*r**2 + 26*r - 216. What is the second derivative of s(g) wrt g?\nAnswer: 1074*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1566*r + 432 = 1530*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(84) + sqrt(84)*2)*-1)\/sqrt(12).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**2 - 5*f - 3. Let x(r) be the first derivative of 23*r**2\/2 - 140*r + 74. Let q be x(6). What is b(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b - 286 = 4*t - 128, 0 = -42*b + 42 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -t**3 - 3*t**3 + 5*t**3 - 8*t + 8*t.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 1 + sqrt(1053) + sqrt(468) + ((sqrt(468) - -6*sqrt(468)*4)**2 - sqrt(468)) + -1.\nAnswer: 9*sqrt(13) + 292505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 86983, 173891, 260795, 347695, 434591, 521483?\n\"Answer: -2*q**2 + 86914*q + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 14 = 5*u. Factor 0*d + 0*d**u - 2\/9*d**3 + 0.\nAnswer: -2*d**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -7, 6, 5, 3, -15, 2, -1 in increasing order.\nAnswer: -15, -7, -1, 2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1 + -116?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -203, -399, -581, -743, -879, -983, -1049, -1071?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -11 - -10.9. Let g = 0.15 + p. Let t = g + -0.25. What is the second smallest value in 5, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*n + 6 = 27*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 43303, 86605, 129907, 173209?\nAnswer: 216511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10 + 13 - -1) + -15?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 67449772?\nAnswer: 2, 13, 19, 233, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 5320 less than 131?\nAnswer: -5189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (4*x - 4*x - 8*x**4)*(-2 + 2 + 4) + 0*x**4 + 6*x**4 + 2*x**4 + (x + 2*x + 2*x)*(0 + 0 - 2*x**3) as c*x**3 + h + l*x**2 + a*x + n*x**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2 - 1*(-12)\/(-4). Which is the smallest value? (a) -1\/2 (b) 1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 7 + (6 + -2 + 3 - 15 - 34) + -8\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1810970 is divided by 27861?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -l**2 - 5*l**2 + 2*l + 5*l + 0*l**2 wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 68*a - 3327*a - 1156 = 75232 + 5087 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -3*a + 4. Suppose 4*d + 3*c - 178 = 0, 3*d - 107 = -a*c + 27. Is (3 - -1)*d\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 100347.92 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 3*b**2. Let d(n) be the second derivative of n**6\/90 + n**3 + 5*n. Let a(x) be the second derivative of d(x). Calculate l(a(h)).\nAnswer: 48*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 70 and 60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4260006*y**6 + y**4 - 148*y**2 - 20*y - 235 wrt y.\nAnswer: -511200720*y**3 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2370 divided by 6.\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6*(-21)\/6804)\/((12\/(-4))\/6)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -31 + 31. Suppose 2*r + 4*g - 326 = u, -g = -5*r - 6*g + 825. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that -o**2 - 2338*o + 11715 = 0.\nAnswer: -2343, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 494 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -1 + 3 - -56 - 1?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the third derivative of i**7\/210 - 11*i**6\/120 - 41*i**5\/30 + 22*i**2 + 2. What is the third derivative of t(g) wrt g?\nAnswer: 24*g - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes after 6:50 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -23.84084 take away -60?\nAnswer: 36.15916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 342422, 342413, 342400, 342383, 342362?\nAnswer: 342337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q**2 - 3*q + 2. Calculate x(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2\/1293 - -288\/431. Let y(o) be the second derivative of 6*o + p*o**2 + 0 + 1\/36*o**4 + 2\/9*o**3. Factor y(i).\nAnswer: (i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be (2 - (-15)\/(-6))*0. Let m = n - -1. Suppose 5*b = -3*h + m, 5*b - 2*b = 2*h - 26. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8922686959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/(o**3*o))\/(o\/(o*o**(2\/5))*o)*(o*o**(-2\/9))\/((o**(-2\/7)\/o)\/o))**14 assuming o is positive.\nAnswer: o**(-338\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -15697, -15601, -15443, -15223?\n\"Answer: 31*i**2 + 3*i - 15731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -3*g**4 + 3*g - 11*g**2 + 5*g**4 + 9*g**2 in the form p*g**3 + v*g**4 + o*g + d*g**2 + i and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 7*i**2*s + 51007*i**2 - 4*i*s**3 - 322*s wrt s?\nAnswer: 7*i**2 - 12*i*s**2 - 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x*x**2*x)\/x)\/(x*x**(-8))*x**(-1)*x**(16\/7))**(-19) assuming x is positive.\nAnswer: x**(-1501\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = -23 + 42. Let r = f + 6. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 7*s - 4*s - 3 - 8*s. Let a(n) = 3*n**3. Let b be a(-1). Let x be (-6)\/(-8) + 280\/(-32). Let o(v) = 14*v + 8. Determine b*o(d) + x*m(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m - 3*m. Suppose -2*x = z - 217, -5*x = -m*x - 15. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + 3*sqrt(637))**2 + -4.\nAnswer: -168*sqrt(13) + 5745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - 2*x = 5*f - 28, -5*x + 4*f + 37 = 0. Let c be ((-2392)\/(-78))\/(1 - (-1)\/(-3)). Let l = c + -31. What is the remainder when l is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 30 (base 6) to base 10\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = 114*l - 112*l - 35, -g = l - 30. Solve -v = -5*t + 55 - 30, -l = -5*t - 5*v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5120 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q**3 - 7*q**2 + 7*q - 4. Let y be h(6). Suppose l - y*p + 6 = 0, 0 = -7*l + 4*l + 5*p - 15. Suppose -4*j + 7*j - 60 = l. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -8.03 - -8. Let d = c + -2.97. Let p = d - -2.9999981. Round p to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3*(3 - 870\/18). Let u be (266\/28)\/((-4)\/y). Calculate the highest common factor of u and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1644151637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the third derivative of 0*y - 5\/2*y**3 + 8*y**2 + 0 - 5\/12*y**4 - 1\/42*y**7 + 1\/3*y**5 + 1\/12*y**6. Factor w(t).\nAnswer: -5*(t - 3)*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*m - 13581 - 669. Is m a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0004634195 rounded to 6 dps?\nAnswer: 0.000463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -3*x + 27. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 175 + -52. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40 minutes after 5:03 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/((m*m**(4\/13)*m)\/m))\/(m*(m*m**(-1\/4))\/m*m*m) assuming m is positive.\nAnswer: m**(-159\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p**3 - 6*p**2 - 4*p - 21. Let r be k(7). Suppose r*m - m + 5*l + 79 = 0, m - 2*l = 79. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 414 = 331. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6 or 1\/6177?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (2*j + 0*j - j + (-2 - 2 + 3)*(-2*j + 0*j + j) - 36*j + 21*j + 58*j)*(2 - 1 + 0)*(-j + 2 - 2) in the form a*j + x*j**2 + m and give x.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be -3*(-4)\/15*-5. Let s be 1\/1*4\/p. Which is greater: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -443899*k**3 - 441230*k**3 + 885130*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 69, 265, 591, 1047?\n\"Answer: 65*t**2 + t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2874*o - 7551*o - 7300*o - 797*o + 129*o to the form w + z*o and give z.\nAnswer: -18393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 + -3. Suppose -5*k + 6 = u, -l*u + 2 = 5*k - 6. Let q(g) = 5*g**3 + 1. Calculate q(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 12*a**2 - 80*a + 7. Let f(l) = -10*l**2 + 79*l - 6. Give 7*f(v) + 6*x(v).\nAnswer: 2*v**2 + 73*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 17*a - 5 = -18*a, 5*a - 25 = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1\/3))**(-4\/11)*x*x\/(x*x**15)*x*x**(-2\/43) assuming x is positive.\nAnswer: x**(-18341\/1419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 2 (c) 1\/3 (d) 407\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z**2 - 9*z + 8. Let k be (-86)\/(-6) + (-60)\/18 + 3. Suppose 0 = 2*l - 4*b + 4, 0*l = -l + 5*b - k. Determine h(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -17.819 + 17.919. What is the second biggest value in 11.92, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((6*(sqrt(500) + 0 + sqrt(500)))**2 - sqrt(500)).\nAnswer: -10*sqrt(5) + 72003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10 - -12. Suppose q*u = -216 + 958. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 1 + 6)*(2 - 3 - 1)*(-q + 4 - 4)*(-5*q**2 + 4*q**2 + 12*q**2).\nAnswer: 22*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -2*d**4 - 3*d**3 + d**3 - 30*d**2 + 25*d**2 in the form z + k*d**2 + g*d**4 + r*d + j*d**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be (24\/(-40))\/(3\/(-10)). Solve 15 = -f - x*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 917607445.\nAnswer: 5, 61, 73, 41213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + -2 + 2*(sqrt(425) - 5*(sqrt(425) + sqrt(425) + 2)).\nAnswer: -90*sqrt(17) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x be 8\/6 + (-8)\/(-12). Suppose x*c - 22 - 10 = 0. Let y be (-2)\/c*-38*4. Calculate the highest common factor of 209 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 9*r**4 - r**3 + 238*r wrt r.\nAnswer: 108*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u = -10, -k + 2*u + 0*u + 4 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -4756009627+-0.99\nAnswer: -4756009627.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1.819, -14, 5\/3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -87 + 67 + 20 - 549*v to r*v + f and give r.\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -100 (base 9) to base 12\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 70 + 16 = 0. Let z = -9 - q. Find the third derivative of -11*l**2 + 9 - z + 17*l**6 + 2*l**2 wrt l.\nAnswer: 2040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -9 - -36. Let j = 0.604 + -28.504. Let c = j + u. Is c <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -367*o**2 + 70465*o - 137. Calculate r(192).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -14 + 9. Let q = -4.9 - b. What is the biggest value in 1\/2, -2\/9, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/30*153*(-1)\/(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -1.4493788 times -64\nAnswer: 92.7602432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4514.\nAnswer: 2, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6 + 48. Suppose a*p - 1386 = 31*p. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15\/(-135) + 3\/108 - (-19)\/228 - 18.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6763*c**3 - 7875*c**3 + 54 - 16 - 17 - 21.\nAnswer: -1112*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -840 + 782.23. Let f = 74.8 + d. Let b = -0.43 + f. Round b to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1430 - 1422. Solve 2*f + c*f - 40 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-19*f - 87*f + 4*f - 74*f)*(-10 + 6*f + 10 + (0*f - 2*f + 3*f)*(4 - 6 + 3) + 5*f + 2*f + 16*f) to the form c*f**2 + z + s*f and give c.\nAnswer: -5280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -14 = 5*a + 2*w, 6 = -6*a + 5*a - 2*w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -133.207 + 0.207. Which is bigger: h or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 845473151?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w be (812\/36)\/7 - 3. What is the smallest value in -2\/7, 2, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the third derivative of -5\/8*a**4 + 0*a + 0 - 5\/2*a**3 + 14*a**2. Let g be d(13). Round g to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -11, -4, 0.034, -3\/2 in decreasing order.\nAnswer: 5, 0.034, -3\/2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 3*z - 3. Let k be 22\/8 + 1\/4. Let u be c(k). What is the third derivative of -u*i**2 - 5 + 5 + 10*i**2 + 3*i**3 wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -932*g**2 - 11*g**2 - 47*g**2 - 1960*g**2.\nAnswer: -2950*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -26 <= -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 99957 and 8970.\nAnswer: 22990110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -2*t - 5*p, -6*t + t + p = -35. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o + 14 + 11. Suppose -2*v + 1 = 5*z - 3, -o*v = -5*z - 10. What is the derivative of 2*u**3 - 4 + z*u**3 + 2 wrt u?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the first derivative of -3*c**4\/2 - 5*c**2\/2 - 6008*c + 1919. What is the first derivative of t(m) wrt m?\nAnswer: -18*m**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 14 and -992379204.3355.\nAnswer: -992379190.3355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 5 + 162*z**2 + 143*z**2 - 27*z**2 + 170*z**2 as y*z**2 + k*z + x and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*b + 0*b - 5*b)*(-445*b + 853*b - 487*b)*(3*b**2 - 2*b**2 + 0*b**2) to t*b**4 + d + o*b + c*b**2 + l*b**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, 5\/3, 2, -1 in ascending order.\nAnswer: -1, -0.3, 5\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 49\/74616 and -155\/102.\nAnswer: 1268472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**1\/p)\/(p*p**5))**36\/(((p*p\/p**7)\/(p\/((p**(-3\/5)\/p)\/p)))\/((p**(-4)*p)\/p**(-1))) assuming p is positive.\nAnswer: p**(-1047\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 3*(1 + sqrt(1200)) + (sqrt(1200) + 1 + 4)**2.\nAnswer: 260*sqrt(3) + 1226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ccccdcdcc. What is prob of sequence cd?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7878834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12749?\nAnswer: 11, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 5*t + 1. Let f be j(-2). Let i = 27 + f. Let d = i + -4. Solve -d - 1 = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4*((-26)\/(-10) - (-18)\/(-30)). Suppose 11 = y + f. Solve y*d = 2 - 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1895.469 - -1892. Let h = 3.29 + q. Let o = h + 0.17. What is o rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -462 = -10*n + 338. What is the greatest common factor of 32 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-u + 1 - 1 + (-1 - 4 + 3)*(-4 + 4 - u))*(-u - u - u) + u**2 - u**2 - 3*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = 32.9 - 33. Which is the nearest to 0.1? (a) v (b) -2 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -82 + 245\/3. Is -2\/5 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*i**3 + 2*i**3 + 2*i**3)*(-2*i + 2*i - i) - 4*i**2 + 4*i**2 + 3*i**4 as k*i**2 + v*i**3 + t*i**4 + o + l*i and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(209)*-4)\/sqrt(11))**2 - (-3 + (sqrt(19) - (sqrt(19) + sqrt(19)*3))**2 + sqrt(19)).\nAnswer: -sqrt(19) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(104)\/(2*sqrt(8)*-1))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v - 14 = -2*t + 7*v, -t - 14 = 5*v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 + 7\/2*q**5 + 0*q - q**2 + 6*q**4 + 3\/2*q**3.\nAnswer: q**2*(q + 1)**2*(7*q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -3 (c) -693598\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the first derivative of -6*n**2 - n - 101. Let j(t) = -t**2 - t + 4. Let w be j(-4). Is g(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (7\/27)\/((-4)\/(-51654)). Let f = j - 3350. Find the common denominator of f and 39\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 1553419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 15*z + 6. Let c be t(5). Suppose -5*m = -4*v + 106 + 7, -3*v + c = -3*m. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -r**2. Let b = -12 - -9. Let d(l) = -l**2 - 4*l. Let o be d(b). Let x(a) = o*a**2 - 4*a**2 + 2*a**2. Give n(x(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 59957942*i**2 - 29978976*i**2 - 29978963*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 3*x - 4*x + 9 - 10 + 0*x. Let u be z(4). Let y(m) = 3*m - 6. Let g(k) = -2*k + 4. Calculate u*y(q) - 8*g(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 3873902*28\nAnswer: 108469256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 76 divide 116982772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express ((1 - 1 + 3)*(-2*m + m - m) - 3 + 3 - m)*(3 - 14*m - 4 + 3*m) + 9*m**2 - 15*m**2 + 37*m**2 in the form x + f*m**2 + k*m and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -4 - 23 - 4 - (-220 - -212)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**2 + h + 45. Determine l(10).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 167 minutes before 10:51 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3821*q - 1908*q - 1900*q.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -67 = 7*m - 6*m - 5*j, m + 3*j = 45 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 178, 3.\nAnswer: -2, 3, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5941.\nAnswer: 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -42, -52, -70, -102, -154, -232, -342, -490?\n\"Answer: -p**3 + 2*p**2 - 9*p - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/(-9) - (-4)\/18. Suppose 0 = 30*w - 28*w - 2. Let y(v) = v**2 + 3*v + 4. Let h be y(-3). Put w, h, u in increasing order.\nAnswer: u, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 245099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/5*(-1)\/2. Let t be 3 - (0 - 4) - 3. Let l be (15\/6)\/(2\/t). Sort l, g, -3 in decreasing order.\nAnswer: l, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 2419 + (5 - (-96)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*b**4 + b**3 - 124501*b**2 + 30734703*b.\nAnswer: 72*b**2 + 6*b - 249002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bw when two letters picked without replacement from jwbbwwbjbbjbdwjjbd?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -54939212*c**3 - 988893432*c wrt c?\nAnswer: -329635272*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 14851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -5 times 6218?\nAnswer: -31090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3\/(-5) + 172\/20 + -5. Solve -5*l = -p*m - 0*m + 17, 4*m - 12 = -4*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 46432037 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be 70\/(-75) + 9\/15. Let r = 0.6 + -0.5. Is r <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the first derivative of -22*n**4\/3 - 77*n**3\/6 + 115*n + 33. Let s(r) be the first derivative of b(r). What is the second derivative of s(o) wrt o?\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 8 = -12. Let p = 0 - k. Solve p = -0*y + y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2.6 + 0.4. Let o = s - 2. Let z = 157 - 941\/6. Which is the third smallest value? (a) o (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3234939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 2 + 1 + sqrt(13) + 3 + sqrt(39)\/(4*1*sqrt(3)).\nAnswer: 5*sqrt(13)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the second derivative of -p**7\/7 - 159*p**6\/10 - 12873*p**5\/20 - 20657*p**4\/2 - 27378*p**3 - 26364*p**2 + p - 403. Suppose z(f) = 0. Calculate f.\nAnswer: -26, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60 minutes after 11:46 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 34*t**2 - 2*t - 2. List the prime factors of k(2).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-16)\/18 + (-2905)\/(-322)*(-172)\/(-1935).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the second derivative of 0 + 8*y + 0*y**3 + 0*y**2 - 1\/6*y**4. Let g(n) = -7*n**2. Calculate g(s(j)).\nAnswer: -28*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5877620033.\nAnswer: 337, 17441009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12553, -12318, -12083, -11848, -11613?\nAnswer: -11378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 3*t - 4*x - 20, -2*x = 4*t - 4. Suppose 5*h = 5*f - 245, 0 = f + t*h + 7 - 44. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(209)\/(sqrt(121)\/sqrt(176) - sqrt(11)))**2.\nAnswer: 304\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (4 + 3) - -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 257233\/7443 - 311\/9. Let j = 30563\/7443 + k. What is the common denominator of 71\/2 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -24 - -13. Let l be (-12)\/(-66) + (-1329)\/h. Suppose 14 + l = 3*q. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*o**4 - o**4 + 6*o**4 + 2*o**4 + 4*o - 4*o + (0*o - 3*o + 2*o)*(o - o + 3*o**3) + 0*o + 0*o + o**4 + (2 - o**2 - 2)*(-3*o + 3*o - o**2).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 75 - 48 + 3*j**2 - j**2.\nAnswer: 2*j**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -9 in 0.4, -4, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 105 - 402*g**2 + 742*g**2 - 338*g**2.\nAnswer: 2*g**2 + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -14730780 to the nearest 100000.\nAnswer: -14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -26\/9? (a) 1\/2 (b) 48 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.3 and -50862.\nAnswer: -15258.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -p - 37, 17 = 2*x + 2*p - 7*p. Let n = 15 + x. Calculate the highest common factor of 96 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4355 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (16777*v + 26 - 33558*v + 16773*v)*(0*v - v + 0*v) to the form f + z*v**2 + p*v and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/8 of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*b**3 + 150*b**2 - 231*b + 90 = 0.\nAnswer: 2\/3, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/(-8)*(-327)\/109)\/((-2475)\/(-100))?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qnn when three letters picked without replacement from nnnqqqnqqnnnqq?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1104290.\nAnswer: 2, 5, 11, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 254 minutes after 5:51 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5 and 9895.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42225 - 7*q**2 + 19068 + 23157.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -9a94077 + 1?\nAnswer: -9a94076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -22\/5 and -31\/492?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.4, 1, 22, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 361121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -18 (base 11) in base 15?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 442813 at most as big as 442814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*a = 7*a + 4*c + 6, -3*a + 3*c + 3 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 766*l + 11*l - 10101 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/(-9)*6 - 2\/3. Solve -n*t = 3*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - q = -0 + 4, 0 = 2*n + 3*q + 12. Let s(u) = u**2 - 2*u**2 + n*u**2. Let j(v) = -v. Determine j(s(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 1103*z + 6726 = 97 - 2195 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c - 4*c + 3*x + 126, 2*c - 3*x = 87. Let q be 6\/c + 37\/(-156). Suppose 0 = 4*j - 5*s + 2*s - 16, -4*j + 5*s = -24. Is q <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 989820 and 432?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -0.4, 0, -449, 1\/4 in ascending order.\nAnswer: -449, -3, -0.4, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-22 - -27) + (116 - 9 - -5).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*a - 17*a + 18 = 0. Let s(d) = -22 + 8 - a*d**2 + 14. Let u(v) = -11*v**2. What is s(u(x))?\nAnswer: -242*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -3*m. Let z(j) = -25*j - 4. Let w(d) = 175*d + 30. Let h(y) = -2*w(y) - 15*z(y). What is h(u(b))?\nAnswer: -75*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -z**3 + 9*z**2 - 7*z + 7. Let r be p(7). Let a = -40 + r. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 55*v**3 + 1. Let n be b(1). Let t be -1 + 10 + -2 - 0. Calculate the highest common divisor of t and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q**2 - 4*q + 2. Let m be u(-6). Let s be (3\/m)\/(6\/(-5)). Let i(o) = 32*o - 161. Let g be i(5). Which is smaller: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 446 - 17. Let t = -287 + x. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 63 = -3*h, -3*h + 1 = 2*b + 45. Let o(t) = -8*t + 29. Does 22 divide o(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -20 (base 9) to base 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 11149 (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:33 PM and 4:49 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.13, -0.15, -11\/1857?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -21, -6, 4, -7 in decreasing order.\nAnswer: 5, 4, -6, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**3 + 2*u + 1. Suppose 2*n + 5 = s, s - 2 = -4*n - 3. Let p be j(n). Solve 1 = d - p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 33 and 42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 36031, 1783 in decreasing order.\nAnswer: 36031, 1783, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1406840 is divided by 96.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -172 + 3?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(288) + -1 - sqrt(288)) + 1)**2 - (-6*(1*sqrt(288) - sqrt(288)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**5*l**(-5\/2)\/l*l**(-5)*l**(-8))**(-41) assuming l is positive.\nAnswer: l**(943\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, n: 1, i: 2, u: 2, c: 1}. Give prob of picking 2 i and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 23247 and 33210.\nAnswer: 232470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 28*d - 9. Suppose -226*s = -229*s + 3. Let j be p(s). What is the greatest common factor of 323 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 58250498 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: What is -0.0000054603 rounded to seven decimal places?\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -4, 59 in descending order.\nAnswer: 59, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 864 - 864 - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.7 * 196.4.\nAnswer: -137.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 105 = -n + 6*n. Let q be ((-45)\/(-30) + (-1)\/1)*4. Suppose p - 2*c = 16, 40 = p + 2*p + q*c. Calculate the greatest common factor of n and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 565 (base 16) in base 6?\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 + -4 + -1 - 1) + (-4 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 311 - -50. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -344570 - 344564 - 344573 + 1033707 - 11*j**3.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -l + 5. Let h be g(-6). Let a(b) = b**3 - 10*b**2 - 12*b + 3. Let r be a(h). Let s = 14 + r. Solve 2*n = s*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -68*0.01\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 25\/21 and 20\/162188303.\nAnswer: 3405954363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + f + 2 = -4*f, 2*f + 6 = -p. Put 5, 2, p in increasing order.\nAnswer: p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -0.3 (c) 2 (d) 3\/2 (e) 856 (f) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4 + (-1 + 2 - -1). Let y be (-2)\/h*-1*3. Differentiate -3*x + 0*x + 3 - y wrt x.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2317 is divided by 686?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -341 = 2*v + 65. Let f = 130 + v. Let j = f - -167. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7819*i - 479*i**2 - 7819*i.\nAnswer: -479*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1686, 1690, 1694, 1698, 1702, 1706?\n\"Answer: 4*s + 1682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 + 10200221101?\nAnswer: 10200221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.0306 + -426.9694. Let i = -427.0307 - k. What is i rounded to three decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*q - 24*q + 1178950 - 16810. What are the prime factors of q?\nAnswer: 3, 7, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 211 + 683 = 0. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/11 (b) -5 (c) 21 (d) 4 (e) 2\/5 (f) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**4\/y)\/y**4*(y*y*y*y**(-1)*y*y)\/((y**(-2\/13)\/y)\/y) assuming y is positive.\nAnswer: y**(67\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - -2 - ((4 + -11 - 44) + 5)) + -1.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/c**25)\/(c\/(c**23*c*c))*(c\/(c*c**20\/c))**49 assuming c is positive.\nAnswer: c**(-931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 14\/(-12)*3116\/21812?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from brrqrrff. What is prob of sequence qrb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 31075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 3*a**2. Let u(i) be the third derivative of -95*i**4\/3 + 3064*i**2. Give u(f(z)).\nAnswer: -2280*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 108 = 27*l, -5*l - 185 + 181 + 129 = 5*f for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*k**2*n**4 - 5*k**2*n - 41*n**5 - 23*n**2 wrt n?\nAnswer: 48*k**2*n - 2460*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p = -3*l - 6, l - 3*p + 6 = -8*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 10051 + 2060?\nAnswer: 12141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a**3 + 6*a**2 - 3*a - 6. Let v be (-6)\/10 - ((-228)\/30 + 2). Let n be w(v). Let x = n - 3. Calculate the least common multiple of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k**3 - 8660*k**2 - 17308*k - 8652 = 0 for k.\nAnswer: -2163, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be (3\/9)\/((-10)\/(-420)). Calculate the remainder when 137 is divided by (x - 7)*(3 - -1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -279 + 69*k + 557 - 275 + k**3.\nAnswer: k**3 + 69*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 132 and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -18 - (-21 - (-34 + 48))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32676 is divided by 6280.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = 2*s - 4*s + 83, -4*s = -3*m - 245. Let r = m - -224. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = -c, -3*s + 4*c = -6*s. Let x(v) be the third derivative of 0*v**3 + s*v**4 + 3\/20*v**5 + 0*v + 14*v**2 + 0. Let p(t) = t**2. Calculate p(x(w)).\nAnswer: 81*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -c**3 + 5*c**2 - c + 1. Let j be -1*(2 + -1)*1. Let p = -1 - j. Suppose v + p*g - 10 = g, -25 = -2*v + 3*g. Determine r(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -402106, -806000, -1209894?\n\"Answer: -403894*q + 1788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 77574530 rounded to the nearest 100000?\nAnswer: 77600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 13731719231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1796 + 3993. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(567)*-3)**2.\nAnswer: -108*sqrt(7) + 5107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Are -590 and -587 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-808)\/81 - (209 - 206)\/((-3)\/10).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2003 (base 4) in base 6?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.08 and -351.\nAnswer: 28.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 1 e, 1 x, and 1 p when four letters picked without replacement from ecphhxhchchcchpchhh.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -2*b**3 - 58*b**2 - 382*b - 13276. Determine r(-30).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**2 - 698*d + 6. Let s(o) = 2*o**2 + 692*o - 8. Determine 3*s(l) + 4*w(l).\nAnswer: 2*l**2 - 716*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1146\/8)\/((-3165)\/2). Let n = 2\/211 - m. Which is the fourth biggest value? (a) n (b) 0.2 (c) 7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**2 + 4*z - 18. Let m be n(-7). Suppose -15 = m*c - 261. Let v = 37 + c. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -547 times -4?\nAnswer: 2188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 64072, 64071, 64070, 64069?\nAnswer: 64068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.39 - 27.39. Let r = y - -24.5. What is the second biggest value in r, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 138699 and 0.2.\nAnswer: 27739.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 11ab4 - -22a?\nAnswer: 12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -85\/332 and -31\/3744?\nAnswer: 310752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = 67 + -203\/3. Suppose 0 = f + 5*g + 12, 3*f - f - g + 2 = 0. Is l less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 391 minutes before 7:29 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the first derivative of 13*u**2\/2 - 5*u + 143. Suppose z + 1 - 4 = 0. List the prime factors of c(z).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 6704415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l be (6\/(-9))\/((-4)\/54*3). Suppose l*k - 9*k + 126 = 0. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f**2 - 5*f + 9. Let s be i(4). What is the closest to -0.2 in 2, 14\/9, s?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 77811*n + 466867. What is m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 133613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = 46 - 44. Solve -4*s = h*d + 3*d - 2, -s = -5*d - 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 3288384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.562038 weeks to microseconds.\nAnswer: 5178320582400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: What is the distance between -20 and 3715935451?\nAnswer: 3715935471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**2 - 8*w - 11. Let u be r(-6). Let k(f) = -3*f**2 - 2*f + 1. Let v be k(u). Sort -2, -7, v.\nAnswer: -7, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11322 + 21?\nAnswer: -11301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = c - i - 2*i, 0 = -2*c - 4*i - 10. Suppose 4*k + 2 = c*p, -2*k - 3 - 1 = -4*p. Calculate the remainder when 7 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 34\/5*f - 289\/5 - 1\/5*f**2.\nAnswer: -(f - 17)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 157283655?\nAnswer: 3, 5, 149, 70373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*g - 77038*n = -77034*n + 48, 2*g - 4*n - 16 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 16*p = -17*p, -22 = -2*h + 4*p. Calculate the greatest common divisor of h and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2652125\/216500 + ((-2)\/4)\/(1 + (-9)\/10)?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.1 - -1.1. Let t = 0.07 - -1.93. Let l = t - 2.3. Which is the third biggest value? (a) l (b) u (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 2*n**3 - 4*n**2 + 3*n - 2. Let k be a(2). Let b(o) = o + 3 - k*o + 3*o - o. What is the remainder when 151 is divided by b(-16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8? (a) -1\/5 (b) -1 (c) -20\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 12 + 4 = o, 3*o - 56 = 5*y. Let l = -28 + o. Which is smaller: l or -15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 12 = -0. Suppose f*z = -0*z + 429. What are the prime factors of z?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4969, -19932, -44893, -79852, -124809, -179764?\nAnswer: -244717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 3) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -15 + 14.9988. Let q = h + 0.01. Round q to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2322 is divided by 63?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = -77 - -98. Suppose -z = 54*x - 47*x. Is x\/(54\/(-1292)) + 2\/9 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-20 + 10)*1 - (-144)\/14. Let j be 4\/10 - (-36)\/(-65). Let f = -166\/795 + 4\/53. What is the biggest value in j, 4, u, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 3195.76 times 0.15\nAnswer: 479.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00026603609 rounded to 5 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = 5*b - 13, -2*b + 20 = 2*b. Let o(w) = 5*w - 5. Let m(d) = -2*d + 3. What is k*o(l) - 5*m(l)?\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -1312104123 (base 5) in base 14?\nAnswer: -604086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -133*k + 136*k + 2718 = 3*w, 4*k - 4584 = -5*w. Calculate the least common multiple of 1520 and w.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p + 3*s + 7, 4*p + p - 5*s - 20 = 0. Let x = 35 - 6. Suppose -3*z + 4 = -x. What is the highest common divisor of z and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 580\/(-70) + 6\/21. Let d be -1 + (4 + 0 - 1). Put 0, j, -1, d in decreasing order.\nAnswer: d, 0, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u - b = 5, -515*b + 516*b - 109 = 55*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -0.11 times -99\nAnswer: 10.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 5*q = 27, 3*v - 6*v + 51 = -3*q. Calculate the remainder when v is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000000853 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1654?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 929 by 13566.\nAnswer: 929\/13566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*a**3 + 0*a**2 + a**3 - 6*a**2.\nAnswer: -7*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**2 + 26*x + 846. Let s be z(0). Suppose -3989 = 5*v - 3*r, 2*v + 7*r + 1583 = 4*r. Let f = s - v. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + (4 - (-13 + 22 + 3)) + -2 + -32?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000122232655 to 7 dps.\nAnswer: -0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 67*t + 807. Let r be l(-12). Let g(j) = -9*j + 3. What is g(r)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 134200 and 18117.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -4 + 1035*x - 1025*x - 1 - x**2. Suppose 0 = 3*g - 26 - 4. Calculate b(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 456, 991, 1892, 3147, 4744?\nAnswer: 6671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-36)\/(-10) - (-6)\/(-10). Suppose 0 = c - 2*g - 9, 5*c + 5 = -f*g - 15. Let r = 32 + -97\/3. Which is greater: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*i - 2*i + 2*i)*(-6*i**3 + i**3 + 2*i**3) - i**2 + 11454*i**4 - 5591*i**4 + 0*i**2 + i**2.\nAnswer: 5854*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11838554.\nAnswer: 2, 7, 13, 29, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 15.9 - 114.9. Let x = p - -98.9999944. What is x rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9 - 6 - 7 - -6) + -4 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 70988758259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1 - 1) + 4 + -2. Let x(u) be the first derivative of u**2\/2 - 5. Let p(d) = 3. Let l(c) = -p(c) + x(c). Give l(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -112*c + 36634 = -99*c. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1190 and 334985.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -23*n - 138. Let u be f(-6). Suppose -55*d + 54*d + 288 = u. Calculate the highest common factor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -377 = -3*f + 19. Suppose s = -5*g + 3*s + f, 0 = -2*s - 2. Calculate the least common multiple of g and 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-3518)\/(-4))\/((-35)\/(-350)). Suppose -u + 688 = -11*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*(k**(-1)\/k*k)\/k*k)**(-2\/43)\/(k**0)**(-14\/5) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the first derivative of -g**4\/4 - g**3 - 7*g**2\/2 - 10*g - 26. Let h be i(-3). Suppose 19*a = h*a + 1560. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least as big as -1527\/17263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-120)\/(-440) + (-1 - 270\/(-341)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (1*(sqrt(171) + 2) - sqrt(171)*-1*4) + (-2 + sqrt(171) + sqrt(171)*3)**2 + -4 + 3.\nAnswer: -33*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u - 4*m = 424, 0 = -130174*u + 130172*u + 5*m + 156 for u.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(104)\/(sqrt(32)\/sqrt(4)) - (sqrt(1573) + 0)**2) + (2*(sqrt(13) + 1) - (sqrt(1573) - (0 + sqrt(1573)))**2).\nAnswer: -1566 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 47*p + 536. What is o(-21)?\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, 7, 2\/3 in descending order.\nAnswer: 7, 2\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -446 = -4*i + a - 114, -272 = -3*i - 5*a. Suppose c + 55 = 4*f - i, 3*c + 9 = 0. Calculate the remainder when f is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -57 + 56.999. Let i = x - -4.001. Let a = i - 4.00056. Round a to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 5.1 times -981.27\nAnswer: -5004.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 60.4 + -41. Let t = k + -19.8. Which is the closest to -5? (a) 2 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 0.9346254 decades?\nAnswer: 9.346254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b - 19 + 31. Suppose b*j = 5*g - 3*g, 7 = 3*j + 2*g. Solve v + 2 = 0, -j = -3*o + 2*v - 0*v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**8\/z**(-4\/3)*z**(-4)*z*z**6 assuming z is positive.\nAnswer: z**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/18 and -82\/131535.\nAnswer: 263070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 343*l + 6 = 349*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(6\/13)*(k\/k**(1\/29))\/k)\/(k**(-2\/3))**(-1\/8) assuming k is positive.\nAnswer: k**(1555\/4524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -44 + (-24)\/((-8160)\/14858)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/75 of a century in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -739818 divided by -123303\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -47*z - 15*z**3 + z**4 + 89*z + 17*z**3 to t*z**3 + q*z**4 + m*z**2 + r + g*z and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -94 - -148. Let j(c) = 32*c + 56 + p - 114. What is the hundreds digit of j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 + 3788034261306?\nAnswer: 3788034261306.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -637*r**3 + 967*r**3 + 989*r**3.\nAnswer: 1319*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*j**3 - 38665*j**2 + 77350*j.\nAnswer: -5*j*(j - 2)*(j + 7735)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6595073?\nAnswer: 269, 24517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 49 - 28. Let m = -65 - -148. What is the remainder when m is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l**2 - 4825*l + 67367. Calculate u(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let 13*y**4\/4 + 149*y**3 - 1700*y**2 - 14484*y + 2268 = 0. What is y?\nAnswer: -54, -6, 2\/13, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j**3 - 6*j**2 - 7*j + 5. Let f be u(7). Suppose f = -4*t - 67. Calculate the smallest common multiple of (-16)\/(-72) - 158\/t and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.693 (b) 60 (c) -2\/9 (d) 471\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -12, -89, 242, -3 in decreasing order.\nAnswer: 242, -3, -12, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1242327, -2484654, -3726985, -4969320?\nAnswer: -6211659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 18517637 a multiple of 615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 2, j: 9, f: 2}. What is prob of picking 2 a and 1 f?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = 2*a - 41, -a + 8*y + 7 = 12*y. Calculate the remainder when 62 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*d**2 + 16*d**4 - 37*d**4 + 23*d**4 - 2*d to the form g*d**2 + r*d**3 + b*d**4 + w*d + s and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 6, l: 2, i: 8, g: 2}. What is prob of picking 4 i?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1233595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -317833*u**3 + 91*u + 35590466?\nAnswer: -953499*u**2 + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of x*y**5 - 5*x*y**2 + 18*x + y**5 + 8*y wrt y.\nAnswer: 20*x*y**3 - 10*x + 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: ((-26)\/13*1)\/(2*1\/(-28))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.337 + 1.337. Let s be (-15)\/126 - 10\/(-35). Which is smaller: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 10*u**2. Let t(s) = -25*s - 2. Calculate t(y(c)).\nAnswer: -250*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = -13 + 15. Suppose 159 = 5*z + 3*x - 493, -258 = -u*z - 4*x. List the prime factors of z.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 120 - -110?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -146 - 51 - 331 + 78*p.\nAnswer: 78*p - 528","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:24 AM and 12:16 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 100907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 28756178*y**2 + 30913950*y wrt y.\nAnswer: 57512356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -5*i**2 - 24*i**3 + 3*i**2 - 1 + i**2 + 25*i**3. Let d(h) = 7*h**3 - 3*h**2 - h - 2. What is -d(k) + 2*g(k)?\nAnswer: -5*k**3 + k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = k. Let o be p(-4). Let n = 20 + o. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/3 - (-3)\/(-9) - -2. Suppose -2*y - 4*c = -28, -3*y = v*y - c - 59. Solve 4*l = -i + y, -3*i - l - 3 = -2*l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + -148.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-6*(1*sqrt(2299) - sqrt(2299))**2 + -4 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor j**4\/6 - 65*j**3\/6 - 3*j**2\/2 + 195*j\/2.\nAnswer: j*(j - 65)*(j - 3)*(j + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-21)\/35)\/(4\/10). Is i < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7 + 12. Suppose 0 = 2*w - g*w + 6. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 102 (b) -280 (c) -3 (d) 2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u be -7 - 6*(-1)\/2. Let p(c) = c**2 + 3*c + 1. Let v be p(u). Suppose v*y - 91 = -2*m - 2*m, -y = -2*m - 7. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is s in -3*s**4 - 50553*s**3 - 151641*s**2 - 151635*s - 50544 = 0?\nAnswer: -16848, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange n + 2 - 2*n**4 - 3*n + n**2 - n + 2*n**3 to the form x*n**3 + d*n**2 + a + j*n**4 + f*n and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -155, -301, -447, -593?\n\"Answer: -146*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from {f: 4, b: 1, a: 2, e: 5, o: 3, h: 5}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hyyh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7361342, 14722681, 22084018, 29445353?\nAnswer: 36806686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**3 + 30*c**2 - 4*c + 108. Let u be d(30). What is the tens digit of (-14802)\/(-18) - 8\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*t = 240*t - 175 + 12871 for t.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = w + 4*k, 5 + 2 = w + k. Let g = -219 - -224. Solve w*a = g*f - 14, 12 = 5*f - f - 2*a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -371*n**2 + 14430*n + 1461. What is j(39)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (18 + 18 - 28)*(2 + 7 - 3*m - 6).\nAnswer: -24*m + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 4 - 3)*(-2 + 0 + 3)*((7*r + 8*r - 6*r)*(4 - 5 + 3) - 244 + 244 + 189*r).\nAnswer: 414*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-6*(6*(-1 + sqrt(304) + sqrt(304) - sqrt(304)) - ((-2*sqrt(304) + sqrt(304))*-2 + sqrt(304))))**2*6.\nAnswer: -777600*sqrt(19) + 14968800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -133\/4404 and 157\/215796.\nAnswer: 215796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that 5*p**5\/4 + 11135*p**4\/4 + 1981185*p**3\/4 + 113346245*p**2\/4 + 699992215*p\/2 - 9194324910 = 0.\nAnswer: -2038, -67, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = 134 - 52. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 117\/123 - 0 - 1. Let i be (0 - 4*60\/(-640))\/(4\/(-8)). Sort 3\/5, c, i in descending order.\nAnswer: 3\/5, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 3557785, 3557787, 3557789, 3557791, 3557793, 3557795?\n\"Answer: 2*h + 3557783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 22 - 14. Suppose -2*z + c + 7 = 3*z, 5*c + a = -2*z. What is the derivative of -5 + 0 - z + 3 - 7*n wrt n?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ssnbnbbssnb. What is prob of picking 2 n and 2 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 1093180 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 157 + -148 + (-14 + 1 - 1) - -13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2063746 and 21046?\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3936 - -14968. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -3.540448125 to four dps.\nAnswer: -3.5404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 4 + -4 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -48 (base 9) to base 16\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8460 and 330.\nAnswer: 93060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5 + 4. Let m be y - (1 + (1 - 3)). Suppose -h + 5*h - 24 = m. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -39, -43, -946, 2 in descending order.\nAnswer: 2, -1, -39, -43, -946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = -2*p + 41*m, 3*p + 20 = -3*m + 2 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*v + 0 = 36. Let r be (-17 + 12)*v\/(-10). What is the common denominator of (r\/(-2))\/(3\/(-6)) and -115\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -26830.6 to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -0.03 - 3201.87366228\nAnswer: -3201.90366228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 2*o = 3. Let l be 10\/(-8) + (-4)\/(-16). Let v be l\/(-2)*(-8)\/(-14). Is o greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 6 = 3. Let u(s) = s + 7. Let v be u(-5). Find the first derivative of -p*w - 2*w - v + 4*w wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + -14 + (35 - 39)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 12 = -9*g + 13*g, g - 3 = -w. Suppose 6*b - 7*b + 235 = w. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -21*r - 21*r**2 - 41 - 50 + 83 - r**2. Let b(i) = 5*i**2 + 5*i + 2. Let n(z) = -9*b(z) - 2*q(z). Determine c, given that n(c) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -280 + 279.9. Let s be 1\/(-35) + (-12)\/(-28). Which is the second biggest value? (a) s (b) -1\/7 (c) i (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000506364 rounded to seven dps?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -145 + 148. Suppose -5*k = -3*k - 32. Solve 4*o - k = 5*b, 2*b = o - 4 - h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0018408 rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 * -320.\nAnswer: -1280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 19.928415 months in decades?\nAnswer: 0.166070125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -7*m - l + 6, l + 70 = 76 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the third derivative of -d**7\/15 + 5*d**5\/12 + 13*d**2. What is the third derivative of g(y) wrt y?\nAnswer: -336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 10517952 and 348?\nAnswer: 10517952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -86939875 plus 2?\nAnswer: -86939873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-264)\/(-110) - 32\/20\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 73\/36 and 101\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = -0*v - v - 3, 2*v + 6 = 3*n. Suppose n = u + 3. Sort -2, 5, u in descending order.\nAnswer: 5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6684168*t**3 - 6684172*t**3 + 3*t**2 - 3*t**2.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/5? (a) 2\/5297 (b) 5 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 215 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 17.2 and -0.015?\nAnswer: -0.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that -5*w**3\/3 + 1013185*w**2\/3 + 2026385*w\/3 + 1013195\/3 = 0.\nAnswer: -1, 202639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6579514, -6579499, -6579484, -6579469, -6579454, -6579439?\nAnswer: -6579424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**3 - 9*j**2 + j + 3. Let r be (-2 - 4)\/3 + -7. Let q be h(r). Let c(v) = v**2 + 5*v - 4. What is c(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 96685?\nAnswer: 5, 61, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(612) - (sqrt(612) + 0 + sqrt(612))*5 - sqrt(612))**2 + -1.\nAnswer: 61199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 15*j. Let m be c(-1). Let w be -1*(-6)\/m*-5. Suppose -u - o = -5, w*u - 5*o - 47 = -2*u. Calculate the remainder when 14 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 280595.8 and -4.\nAnswer: 280591.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**3 + f - 1. Let j(o) = -7*o**3 + 6*o - 5. Suppose -5*s = d + 17 - 12, 0 = -5*s - 5*d + 15. Give s*j(z) + 10*u(z).\nAnswer: 4*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12703\/522 + 949\/29. Calculate the common denominator of (2\/(-48))\/((-2)\/124) and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 13766, 0.3, 0.5, -3 in descending order.\nAnswer: 13766, 0.5, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -f = -7*h + 10*h + 21, -51 = 3*f - 42 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*1*2\/9*-6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 138 times -2\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -18 - -13. Let f = d + 11. Let a(u) = u - 4. What is the units digit of a(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-2)\/2)\/(8\/(3088\/(-2))) is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4618c1 - -46?\nAnswer: -461878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -12 + 136*l + 7*l + l**3 - 144*l - 5*l**2 - 3*l**4 in the form v + j*l**3 + w*l**4 + i*l**2 + z*l and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + (-6 - -11) + 6 + -13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3432810 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: b\"What is the ith term of 8056, 20437, 32818?\n\"Answer: 12381*i - 4325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-510)\/80*976\/(-366).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 11 - 6. Suppose -x*p + 62 = -4*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6dec (base 16) in base 8?\nAnswer: 66754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 31339 + -31338. Solve 2*k = 5*v + 22, v - k - c = -6*k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-505)\/(-1414)*120\/(-75)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*k = 20*k + 55 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i**3 - 13*i**2 + 98*i - 49. Determine c(-19).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-65)\/39*(-42)\/14. Let f be (-2)\/(-3) + 10\/3. Suppose 0 = 3*h - l + 4*l - 3, -5*h - f*l = -6. Solve 0 = h*n + x*u + 27, -n + u + 19 = -3*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/(-3)*876\/4. Let b = 101 - w. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5957 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**2 - 5*o + 10. Let s(v) = 17*v + 63. Let q be s(11). Suppose -24*x = -74*x - q. Determine p(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 2*a = p - 10, p - 4*a = 20. Suppose -3*r + 4*r + 15 = p. Let h = 18 + r. Solve -2*s - 8 = 0, h*n + s = -4*s - 29 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (20 + 73 + 130)*(6*c - 4*c + 0*c).\nAnswer: 446*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00698459 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 19 = 3*g, 2*z = -9*g + 7*g + 20. Let p be 1 - -12 - 2\/2. Let a = p - z. Solve -17 = -3*o - a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in i**2 + 111 + 30*i**2 - 111.\nAnswer: 31*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -560 - -2d?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (-1 - 1) + -4 + 7 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -123*j - 23. Let t be b(-6). Let c = -708 + t. Solve 11 = -2*x + c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 78493?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16387969 is divided by 2731328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5.99 + 0.01. Let j = p - 22. Is j smaller than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -13*x - 15. Suppose -8*l = -6*l - 12. Let f(d) = -7*d - 8. Calculate l*y(m) - 11*f(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 6 = 4*k, -2*j - 17 = 4*k - 3. Is (k*2)\/((-4)\/((-1760)\/(-5))) a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ojjojjyh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2304 divided by 43.\nAnswer: -2304\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3009*d**3*l**3 - 18804*d**3 - 3*d*l**3 + 6*d*l**2 + 3*d*l - 347*l**3 + 3*l**2 - 21*l wrt d?\nAnswer: 18054*d*l**3 - 112824*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**2 + 9*v - 16. What is f(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 7 (base 16) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 + 2*t - 3)*(0*t + 0*t - t) - t**2 + 6*t - 5*t + 2 - 2*t to f + a*t + y*t**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3955 + 4684. Calculate the remainder when y is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -34b + -f?\nAnswer: -35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -28 - -36. Suppose -5*c = -4*j - f - 3, 5*c + 2*j = 17. Sort c, -5, 4 in descending order.\nAnswer: 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 92840590 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 28*s - 810. Let p be k(29). Solve p*h - 35 + 21 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**3 - 5*f**2 + 4*f - 17. Let h be r(5). Suppose -72 = -h*v + 3*g, g + 36 = -3*v + 108. What is the smallest common multiple of 33 and v?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*u + 3*u - 4*u)*(-9*u**3 + 6 - 6) + 2*u**4 - u**4 + 2*u**4.\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 120300103 + 202011?\nAnswer: 121102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -h - 38510 + 38535 = 3*t, t + 11*h + 45 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -14, 3, -133, -35 in descending order.\nAnswer: 3, 1, -14, -35, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**2\/l)\/l**(1\/6)*(l\/((l*l**1)\/l))**26*((l*l*l**1)\/(l**(-6)\/l))**(-35) assuming l is positive.\nAnswer: l**(-2089\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**3 - 5*p**2 - 4*p - 3. Let l be a(10). Let h = -427 + l. Calculate the greatest common factor of 80 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 9.755206929 from 1.045.\nAnswer: -8.710206929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14186999 is divided by 7093479.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 162 - 106. Solve -15*k - z = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*u - 3*p = -9*u - 93, -2*p + 29 = -3*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -239120245 divided by -245.\nAnswer: 976001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3, 841475, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:28 PM and 5:19 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -368 - -473. Calculate the least common multiple of 5 and q.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*y = 1 - 15. Find the third derivative of 107*o**4 - 94*o**4 + o**y - 3*o**2 wrt o.\nAnswer: 312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor r**3\/4 + 2665*r**2\/4 + 39916*r + 533820.\nAnswer: (r + 20)*(r + 41)*(r + 2604)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -2306 by -825.\nAnswer: 2306\/825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -797, -1599, -2401?\n\"Answer: -802*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -11*z**3 + 2*z + 3. Let j = 74 + -75. What is the remainder when 44 is divided by b(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14 + 1216\/(-72))*3 + 10.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5\/(1 + (-45)\/50).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 14189127 and 4527.\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 1 + 7 - 207*d - 10 + 55*d.\nAnswer: -152*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*i = 4*i - 20*i - 44. Let t(g) = 18*g**2 + 3*g + 1. Let s(u) = 18*u**2 + 4*u + 2. Calculate i*t(h) - 3*s(h).\nAnswer: 18*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -12*b - 214. Calculate the remainder when 591 is divided by x(-24).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-56)\/(-48))\/((6\/24*2)\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -1, 75800 in descending order.\nAnswer: 75800, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y*y**(4\/13))**(-6) assuming y is positive.\nAnswer: y**(-180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3004 - 2986. What is the remainder when 170\/8*(3 + 1) is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 8*y + 11. Calculate s(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-72)\/(-7))\/(3\/14). Suppose -2*c - 5*q - 14 = -62, 0 = -2*c - 2*q + d. What is the smallest common multiple of c and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -995*z**3 + 3*z**2 - 9*z. Let v(h) = 994*h**3 - 2*h**2 + 6*h. Determine -3*v(d) - 2*y(d).\nAnswer: -992*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10001100 + 101?\nAnswer: 10010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 2*h - 10. Let q be y(7). Suppose -q*v = 5*j + 20, -j - 10 = j + 2*v. Suppose j = -4*r - 4*u + 12, -3*r - u + 4*u + 21 = 0. Solve -4 = -r*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.6 in 35.402, -1, -16\/21?\nAnswer: -16\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 114, 216, 324, 438, 558, 684, 816?\n\"Answer: 3*h**2 + 93*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 4*u = -55. Suppose -10 = -h - u. Let t = 8 + h. Calculate the lowest common multiple of t and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = -4*m + 102. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, l: 3, m: 4, a: 2}. Give prob of picking 2 l and 1 a.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 2 = 4*i. Let s be -1 - i*(0 - -1). Let l be -4*s\/4*1. Solve l*n = -n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 414116168 + 2?\nAnswer: 414116170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3\/31 - 2\/31. Let z = g + 28\/93. Suppose i - 6 = -k - k, 4*k - 8 = -i. Which is smaller: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/5)\/((-1)\/((-10)\/(-9)))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4169 and 40084?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -777, -4, 5, -13, -6 in increasing order.\nAnswer: -777, -13, -6, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 1821 (base 9) to base 10.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 3*n**2 + 32*n - 135. Let w be f(5). Calculate the greatest common factor of 130 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 59495*j - 10. Let r(g) = -g**2 - 21*g + 20. Let p be r(-22). Let a be i(p). What is a rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 781007203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*r = -6*r - 264544. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 86.63665 decades in centuries?\nAnswer: 8.663665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) 1\/5 (c) -0.033 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 250 and 4.542.\nAnswer: 1135.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -23208, 2, 52 in decreasing order.\nAnswer: 52, 2, -23208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.2 + -18.2. Let s = w - -15.992. What is s rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 0*j = 2*a - 772, 2*j = a + 1564. Let q = -457 + j. Let d = q + -143. Calculate the greatest common factor of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 14 - -15. Suppose j = 3*m + 110. Which is bigger: -137\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + -6 - 1 - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that 4*m**2 + 2464*m + 2460 = 0.\nAnswer: -615, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 30341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3526\/19 or 0.81?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 8, l: 2, r: 5, t: 1}. What is prob of sequence rw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + 4 + 4 + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 4*o + 274. Let g be x(-75). Is -211\/8 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-6)\/(-26)*(-35)\/105. Is i greater than 395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in -8, -2\/59, 733, -3\/4?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -11\/3, 8\/25 in decreasing order.\nAnswer: 8\/25, -11\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -72*k**2 + 72*k**2 + 118352 - 2*k**3 - 118352.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -4*w + o, 0 = -3*w - o + 3*o + 9. Suppose -2*p - 76 = -w*c, -c + 2 = -0*c + 4*p. What is the lowest common multiple of 39\/5 + -7 + 432\/60 and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9cf7 (base 16) in base 14?\nAnswer: 10903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply 248 and 0.000152.\nAnswer: 0.037696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/((-8)\/((-160)\/(-12))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -95*q**2 + 8*q + 1. Let w(m) = -94*m**2 + 5*m + 1. Determine 2*f(n) - 3*w(n).\nAnswer: 92*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*o = -179795 + 45689. Let b = o - -20596. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1\/(-2))\/(2\/4). Let l(d) = 5*d. Let j(a) = -5*a + 8. Let s(b) = 3*b - 5. Let z(m) = -5*j(m) - 8*s(m). Determine r*l(k) + 6*z(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxrx. What is prob of picking 2 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-1\/37)*w**(22\/5) assuming w is positive.\nAnswer: w**(809\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-7 - -1)*3\/(-9). Let h be 44\/(-8)*(624 + y). Let s = h - -20573\/6. What is the common denominator of -9\/8 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-140)\/(-84))\/(14*(-24)\/8064).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-18)\/3*4\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3560597536?\nAnswer: 2, 347, 320659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22701*t**3 + 7585*t**3 + 8208*t**3 + 7570*t**3.\nAnswer: 662*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 + -908635210.59.\nAnswer: -908635211.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 1535 = -d, -2*d - 1230 = -5*l + 320. What is the greatest common factor of 77 and l?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 462 minutes after 1:47 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the third derivative of -u**5\/20 + 4*u**2 - 6*u. Let v(f) be the second derivative of f**4\/6 - 3*f. Calculate v(h(j)).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, 5, 0.3, -3\/55?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 18 = -3*f. Let z(t) = t + 8. Let b be z(-6). Suppose -13 = -b*h + 5. What is the lowest common multiple of h and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 420 * -0.4\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11 + 11. Which is the closest to h? (a) -5 (b) 1\/3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 111122 (base 5) to base 9\nAnswer: 5326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 16482561 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 591544640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (4 + 4 + (sqrt(704) - (1 + 1*sqrt(704))) + sqrt(704))**2 + -1.\nAnswer: 112*sqrt(11) + 751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 5, w: 3, q: 2}. What is prob of picking 2 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - 2\/7*d**2 - 2\/7*d.\nAnswer: -2*d*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5925111913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*c + 4 + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u = -16, -327*y - 134 = -324*y - 35*u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 5*b + 18 = 3, 0 = 2*a - 3*b + 9. Put a, -15, -8, 3 in increasing order.\nAnswer: -15, -8, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 1, -9, -1\/285, 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (-45 - 53 + 84)*(-4 - 3 + 6)*(3*s - 15*s + 0*s)*(-780*s - 36*s**3 + 780*s) as w*s + p*s**4 + k*s**3 + t*s**2 + q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -400*u**2*z**5 - 848343*u**2*z**2 - 5*u**2*z - 3594*z**6 wrt z.\nAnswer: -24000*u**2*z**2 - 431280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/24)\/((-18)\/(-16)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 49*z + 22*z**2 - 26*z - 23*z.\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s - 15885 = -2*g - 15847, 8*g - 5*s + 3 = 2*g - 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10 + -131. What is the remainder when 22\/s + 1377\/11 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-50))\/(82\/82)*4\/(-2)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the second derivative of -n**4\/3 + 78*n. Let c(o) = -2*o - 6. Let t be c(-4). Let y(j) = -j - t*j - 4*j + 4*j. Give y(a(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5*v + 8*v + 28 - 12*v + 95 + 0*v with respect to v.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 31052570?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q be -34 - 1 - 2\/2. Suppose -r - 2*n + 18 - 97 = 0, -r - 84 = -3*n. Let z be r\/q*(-40)\/(-3). What is the highest common divisor of z and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -4690, -9386, -14094, -18820, -23570, -28350, -33166?\n\"Answer: -a**3 - 4689*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Add -3901330.8999 and -6.\nAnswer: -3901336.8999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.11 and 19.397.\nAnswer: 2.13367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3, -165\/15692, -0.7?\nAnswer: -165\/15692","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-3 + 4)\/((-1)\/6873))\/((-9)\/33)?\nAnswer: 11, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(95)\/(-2*sqrt(5)) + sqrt(57)\/sqrt(27))**2 - (sqrt(38) - ((sqrt(608) - (sqrt(608) + sqrt(608)*-2)) + sqrt(38)))\/(sqrt(8)\/sqrt(4)*2).\nAnswer: 163\/36 + 14*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Rearrange 25153973*l + 4499*l**2 - 1427*l**2 - 25153973*l to the form g*l**2 + d*l + h and give g.\nAnswer: 3072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*p - 3*p - r = 24, 0 = r. Suppose 5*n - 3*x - 6 = 7, 5*n + 4*x = p. Solve -n*y - 5*f + 16 = -y, -f = -3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-5\/6)\/f*f**5)\/(f**0)**(-25) assuming f is positive.\nAnswer: f**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 56.7 to zero decimal places.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in -0.437, -2, 2\/7, 261, -1?\nAnswer: -0.437","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9.7805124 - -9.78. Round z to 5 decimal places.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 110021122211022 (base 3) in base 5?\nAnswer: 3132344233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l. Let v be j(4). Let k be 14\/v + 1\/(-2). Let c(t) = t**3 + 6*t**2 - t - 27. Let r be c(-3). Solve k = 2*w - r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7052877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -5, 96\/19, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2 - (3\/3 - 0). Suppose -4*j + 7*j = 6. Suppose -4*q + 2*h = 24, q - j*q - 2*h = w. Which is the smallest value? (a) -0.3 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 12133668?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*g**3 + 5 + 76932*g**2 - 76953*g**2 + 1.\nAnswer: 5*g**3 - 21*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 5 = 2. Let a be 0 + b + (-77)\/33. Solve -a*w + 2\/3*w**3 + 0 + 0*w**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11163 - 50635 = -138*l - 331*l + 14463 for l.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (14 - 7 - 4 + 11)*(5*m + 0*m + 0*m).\nAnswer: 70*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22 - 309*z + 309*z + 793*z**2.\nAnswer: 793*z**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -5 + 43 + 592 + -576\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 1421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -73\/368126?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0.3 (c) -2 (d) -5 (e) 28\/43 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -286 - 830 = -45*q - 6*q + 15*q for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 3045 (base 10) to base 2\nAnswer: 101111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 3*v - 6. Suppose 5*a - 14 - 16 = 0. Let n be r(a). Suppose -2*i + 5*i = -n. Sort i, -5, 2.\nAnswer: -5, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2251\/110 + 78\/5. What is the common denominator of d and 435\/(-70) - 3\/(-6)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:22 AM and 10:06 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -2*g**2 - 14*g - 2. Let i be q(-6). Suppose i*p + 92 - 202 = 0. What is the remainder when 207 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 131 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14.48*-0.5.\nAnswer: -7.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 487*k - 491*k = -48. What is the third derivative of 12 - 10 + k*m**2 + 61*m**2 - 4*m**4 + 3*m**4 - 10*m**5 wrt m?\nAnswer: -600*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 273578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 25*m - 10. Suppose -30 = 4*b + 14. Let l be b\/(-44) - 11\/(-4). List the prime factors of r(l).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 + 3b54?\nAnswer: 3b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/29, 1\/4, 181, 35\/3, -5, 0.1, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -33 - -36. What is the units digit of (-4)\/r*(-63)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 17 - 9. Let f be 188000*(2 + (-2 - -53) + -3). Suppose y*a - 9*a = f. Round a to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-28)\/(-4) - 1 - -1. Suppose -n = -3*u + 5*c, -5*c + c + 4 = 0. Let w(d) = -d**2 + 4. What is w(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = -4*l - x + 3, -l - 18 = -2*x. Let u be (3\/(-36))\/((-3)\/l). Which is the second smallest value? (a) u (b) -2\/7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 28 divided by 28\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 56 + 176. Suppose -49*j - h = -47*j. Let m = j - -121. Let q(x) = -4*x + 5. Calculate q(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -18? (a) 4 (b) -4 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -2*t**2 - 88*t + 953. Calculate b(-53).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*h**3 + 19*h**3 - 40*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 675851 to the power of 1\/2, to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -1122657088 divided by 19664?\nAnswer: -57092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -4*s**2 - s - 1. Let r be o(-1). Let t(m) = -41*m - 3. Is t(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -h**2 + 5*h + 5. Let w be v(6). What is the units digit of w\/((2\/(-6))\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/63 of a week?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*t**2 - 13*t**2 + 28*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1860100 to the power of 1\/2, to the nearest integer?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1185 a factor of 473633670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*a**2 + a**2 - 3*a**2)*(-4*a**3 + a**3 + 2*a**3) + 6*a**5 - a + a - 9*a**5 + 3*a**5 + 5*a**5.\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 158, 161, 174, 203, 254, 333?\n\"Answer: k**3 - k**2 - k + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 7*d + 120. Let j be a(-17). Do -1\/173 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -7\/5 or 79963?\nAnswer: 79963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*b - 2*b - 2*b + (-4 - 12 - 1)*(-10*b + 0*b - 4*b).\nAnswer: 234*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -7755 = -48*o - 135*o - 52*o for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 52545626, 52545628, 52545630, 52545632?\nAnswer: 52545634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be (39\/11)\/3 - 1. Which is the second biggest value? (a) 3 (b) z (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 5, -2, 65, 0, -1, -940 in ascending order.\nAnswer: -940, -5, -2, -1, 0, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/35? (a) -4 (b) 1\/10 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 4+531867.26802\nAnswer: 531871.26802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 210 + -220 + (1 - ((-2 - 0) + 354\/(-66))).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -43*d**3 - 3*d**2 - 5*d - 3. Let t be c(-1). Calculate the highest common factor of 56 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + 0 + (-17 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -t**2 - 11*t + 84. Let i be l(-16). Solve -4*q = -0*j + i*j + 20, -8 = -2*q + 4*j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 52.142 + 0.958. Let c = -53 + r. What is the second smallest value in -1, c, 2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -271556349 and -271556355 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:10 PM and 5:05 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -47519, 1, -4 in increasing order.\nAnswer: -47519, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -88*o**2. Let u(a) = a**2 + 45131*a. Determine u(c(z)).\nAnswer: 7744*z**4 - 3971528*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -63581 + 7*w**3 + 63581. Let a(l) = -l + 5. Let t be a(10). Let y(b) = 8*b**3. Determine t*h(m) + 4*y(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -132 + 136. Suppose 2*q + 4 = v*q. Let 2*b**2 + 25*b - 30 + b**q - 8*b**2 + 0*b**2 = 0. Calculate b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 10*h**4 - 25*h**3 - 5*h**2 + 20*h - 10. Let f(a) = 5*a**4 - 13*a**3 - 3*a**2 + 10*a - 5. Let o(w) = -3*d(w) + 5*f(w). Factor o(s).\nAnswer: -5*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*n + 8213 = 361. What are the prime factors of n?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 2, v: 1, b: 1, r: 1, t: 2, f: 2}. What is prob of picking 1 f and 1 m?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 67146 and 1302?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 102865 = -2*x. Let d(a) = 49427*a. Let u be d(1). Suppose x + u = i. What is i rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5535 and 738.\nAnswer: 11070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 599648 divided by 42832\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -5*c**3 - 14*c**2 + 26*c + 121. What is the remainder when l(-5) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z - 4 = 2*z. Let l be (-20)\/(-6) + -3 - z. What is the closest to l in 5, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1769 - 0.5.\nAnswer: 1768.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -258753*17\nAnswer: -4398801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -67.1 (b) -0.142 (c) 0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 48.299 plus -2.536?\nAnswer: 45.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = -82 + 119. Suppose -259 = -14*h + 7*h. Do h and b have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 294 and 968877?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-6)\/(-10))\/((-5)\/(-25)). Suppose m + z = -0*m, i + 2 = -2*m. Solve 14 = -2*d + i*l, -3*d - 5 - 5 = 5*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rfx when three letters picked without replacement from xvrvvxxddfkxkkk?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the first derivative of -3*z**2 - 322. Let v(f) = 8*f. Let p(x) = 9*x. Let a(h) = -2*p(h) + 3*v(h). What is 3*a(k) + 2*t(k)?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5.9792 - -0.9792. Sort -1\/29, a, -0.13, 5 in descending order.\nAnswer: 5, -1\/29, -0.13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -m + 7. Calculate x(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {h: 1, b: 2, u: 10, x: 1}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00002411 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 182*v - 170*v - 161412 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8 - 6. Suppose n = -5*b + 9, 0*b + 2*b + 2*n - 2 = 0. Suppose 4*z + 18 + b = 0. Sort a, z, -2 in decreasing order.\nAnswer: a, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 + 26 + (15 - 26).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*p**4 - 71732*p**3 - 428766072*p**2 - 854101967600*p + 854530805408.\nAnswer: -4*(p - 1)*(p + 5978)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*d + 678 + 443 = -83. Calculate the smallest common multiple of 956 and d.\nAnswer: 6692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + -5 - -7 - (-1 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.246 - 2.934. Let y = 2.9 + n. Let d = -11 + 11. What is the closest to 0.1 in y, 3\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3506 (base 7) in base 15?\nAnswer: 5a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = -0*y + 35. Suppose -2*f + 1 = -y. What is the remainder when (-12)\/f - (-54)\/2 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 36483359 and -38.\nAnswer: 36483321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8\/169 - 19580\/507. Which is greater: -40 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/2311, 1\/5, -1, -1\/5, 1, -1\/11, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 134 - 140.1. Let p = y + 6. What is the third smallest value in p, 0.3, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 4, -20, 18\/5, -3, 0.3, 71?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 75*f**2 - 530*f + 29. Determine w(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3.5 - -4. Let s = 1.1 - 1.4. What is the closest to 0 in h, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -3*j**2 - j. Let c(w) = 9*w**2 + 35*w - 280. Let h(l) = -c(l) - 4*r(l). Differentiate h(g) with respect to g.\nAnswer: 6*g - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 4282944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 48737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4227, -8438, -12633, -16812, -20975, -25122, -29253?\nAnswer: -33368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*m + 3*i - 15 = 5*m, -3*m + 10 = 2*i. Solve -4*f - 5 + 25 = m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = 3*y - 1417, 2*u + 2*y + 712 = 4*u. Calculate the remainder when u is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (0 - (5 + -1))*-1. Suppose 0 = 3*r - r + x*w - 184, -5*w + 95 = r. Suppose 0 = -2*t + 4*t - 18. What is the highest common divisor of r and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*z + z + 1 = 2*u, 2*u = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -14901b (base 16) to base 15.\nAnswer: -1b945b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((d*d\/(d**15*d))\/d*d*d**(-2\/11))\/(d*d**(2\/17))**24)**(-1\/3))**(-28) assuming d is positive.\nAnswer: d**(-71568\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-36)\/(-10) + 4\/10. Let y = l + -1. Solve -u = -2*u + y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -3*d + 3. Is 13 a factor of v(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 61\/4 (b) -73 (c) 0.3 (d) -9 (e) -0.2 (f) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -4*l - 2. Let i be a(-3). Suppose 11 = 6*j - 49. Calculate the highest common factor of j and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4857566?\nAnswer: 2, 7, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.06, 4, 0.3, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -36, 26, 1622 in descending order.\nAnswer: 1622, 26, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Total of 1.6738987825 and -0.2.\nAnswer: 1.4738987825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes after 4:43 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 14 and 51664?\nAnswer: 361648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m**2. Let d(x) = -28*x**2. Let a(w) = -21*b(w) - d(w). Let v(h) be the second derivative of -h**3\/3 + 2*h. Give a(v(n)).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -11 - ((-7 - -2) + (-59 - -6) + 7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.7 + 277.\nAnswer: 276.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6, -9, -20, -45, -90?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -12 (base 4) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-105)\/(-42))\/(1\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1106768.\nAnswer: 2, 13, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1462 and 430?\nAnswer: 7310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*d**3 + 2 - 2*d**4 - 7*d**2 - 5 + 5 - d**2 to u*d**2 + h*d**4 + x*d + y + f*d**3 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -673306 (base 8) in base 9?\nAnswer: -375357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 2, -119, 14, 115, 3, -3 in decreasing order.\nAnswer: 115, 14, 3, 2, -2, -3, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -11*y + y**4 - 3*y**4 + 5*y**2 + 11*y wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 184, 63, -44, -125, -168, -161?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 8*a**2 + 1. Let i be y(-1). Let p be (42\/i)\/((-2)\/(-6)). Solve w - 2*x = -p, w - 5*x = -4*x - 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(1216) + 3 - (-1 + (sqrt(76)\/sqrt(4))**2 + 2))*5.\nAnswer: -105 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 129, 1338, 4619, 11010, 21549, 37274, 59223, 88434?\nAnswer: 125945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(627)\/sqrt(176))\/(-4*(sqrt(3) - (sqrt(6)\/sqrt(2) - sqrt(3))))*-5.\nAnswer: 5*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 290 + -253. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (40\/5)\/(2 - 1). Let c be -1 - (-2)\/f*1. Is c not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -833*y + 567788 = 2663*y + 975*y + 183*y for y.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 221 is divided by 48?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001505240718 rounded to seven decimal places?\nAnswer: 0.0015052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 9 = -2*u. Suppose 114 - 134 = -10*t. What is the least common multiple of t and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 6 and 26632.\nAnswer: 26638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.056 - 25.056. Let v = -36 - c. Let z = -10.92 - v. What is z rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0 and -36.400509.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 80066?\nAnswer: 2, 7, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-27)\/48*2)\/((-18)\/24).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c**3 - 5*c**2 - 5*c + 3. Let m = -470 - -466. Determine i(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 11*u**2 + 5*u. Let b(q) = 47*q**2. What is m(b(o))?\nAnswer: 24299*o**4 + 235*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 77617259 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*n + 22*n - 17*n = -7*w - 25 + 3, 3*n = -10*w + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 65 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/8 - 30\/8. Let w be (4\/3)\/(2\/(-18)). Let o be ((-1)\/((-3)\/(-1)))\/(2\/w). Put t, o, 5 in increasing order.\nAnswer: t, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 2948.371 millennia?\nAnswer: 2948371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 2, u: 2, w: 1}. Give prob of sequence guu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor u**3\/5 - 91*u**2\/5 - 92*u\/5.\nAnswer: u*(u - 92)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9054 and 2380.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -81*b + 605. What is x(7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5\/(-15) + 115\/3 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 587 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-4\/7)\/(w**(-8)\/w)*((w**(-2\/9)\/w)\/w)\/((w*w**(-7\/4))\/w) assuming w is positive.\nAnswer: w**(2005\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the third derivative of 1\/6*w**4 + 0 - 2*w**2 - 1\/6*w**3 + 0*w. Determine o(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (508240\/280)\/(-1 + (-1025)\/(-1015)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = -4, -3*g - 1118 - 34 = -3*i. List the prime factors of i.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (502\/6)\/(3\/9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4620 and 18480?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(24)\/(sqrt(9)\/sqrt(3)))\/(sqrt(484)*2) - (-2*(-1 + sqrt(288))*-5)**2.\nAnswer: -28900 + 52801*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that 665*r**5\/2 + 50284*r**4 - 205387*r**3\/2 - 361037*r**2 - 214520*r - 6128 = 0.\nAnswer: -766\/5, -1, -4\/133, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 548050 and 540775?\nAnswer: 2425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.123 and 0.3?\nAnswer: 0.0369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 15913607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2030123244 + 3?\nAnswer: -2030123241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 104*t + 1348. Determine k(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10459 is divided by 385.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 22*z**2 + z + 1. Suppose 0 = 29*g - 40*g + 242. Calculate the smallest common multiple of n(-1) and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -163, 41, 593, 1667, 3437, 6077?\nAnswer: 9761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 33\/5221 and 19\/115.\nAnswer: 26105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -13*k - 9. Let s(o) = 6*o + 4. Suppose 4*q + 6*b = b + 195, 2*q = b + 101. Suppose -55 - q = -15*j. Give j*s(t) + 3*a(t).\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -368, -353, -336, -317, -296, -273?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/3 or -13\/1356?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes after 12:04 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 91 by -19.\nAnswer: -91\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 21985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10 - -16. Let q = -11 + 1. Let w = 6 - q. Calculate the remainder when w is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -2*x + 12. Suppose 3*n + x = 64. Suppose -3*o = -o - 5*t - 21, -2*t + 6 = 0. Calculate the least common multiple of o and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 14 - -5432145353?\nAnswer: 5432145411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 579486329 >= 579486328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2532850 is divided by 1596?\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 7*c - 4. Let a(t) = 14*t - 23. Let x(k) = -7*k + 11. Let l(u) = -6*a(u) - 13*x(u). Calculate -4*l(d) + 5*p(d).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:09 PM and 11:04 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4677, -4680, -4681, -4680?\nAnswer: -4677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3 - 2.7. Let p = 0.2 + v. What is the nearest to -2\/3 in -1, p, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 3060\/231 - 9\/(-126) - 910\/(-5005)\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*s + 8*s - 8*s. Solve -18*h + 31*h - 39 = s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 50, 31, 10, -13, -38?\n\"Answer: -s**2 - 16*s + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40790.\nAnswer: 2, 5, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*k - 3*k + 5*k)*(-9 + 1 + 2)*(2*k**4 + 4*k**4 - 3*k**4 + (-2*k**2 + 2*k**2 + 2*k**2)*(-2*k**2 - k**2 - k**2)).\nAnswer: -30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -7*j**2 - 13*j - 2. Let i(q) = -q**2 - 2*q. Let r(c) = -6*i(c) + k(c). Suppose 2*g = -2*s - 20, 5*s + 26 = g - 6. Calculate r(s).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 186353.\nAnswer: 331, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = -605 + 871. Let q = n + -244. Solve -q - 3 = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 20 and 1012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((8\/(-60))\/1)\/((-30)\/25)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 21 - 352*t + 83 - 17 + 357*t as o + w*t and give o.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*k**2 - k**3 - 1 + 3*k**3 - 4*k**3 + 6*k**3 to the form u*k**2 + v*k + c + j*k**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/7 - 132\/28. Let n = o + 6. Let c(f) = 1329999*f**2 + 2*f - 1. Let g be c(n). Round g to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5903760 and 72350?\nAnswer: 29518800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f = -5*d - 17, f - d + 16 - 21 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f - 17. Let k be l(0). Let t = 354 + -257. Let v = t - k. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -398, -788, -1180, -1574, -1970, -2368, -2768?\nAnswer: -3170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 132 minutes before 2:48 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**3 + 10*t**2 - 10*t + 10. Let h be r(9). Put h, -1\/2, 0.3 in descending order.\nAnswer: h, 0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**3 + l**2 - l - 28. Let w be z(0). Let r be 2316\/21 - (-8)\/w. Suppose -4*v = v - r. What is the remainder when 107 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**6*a**(-11))\/(a**(-4)*a**(5\/2)) assuming a is positive.\nAnswer: a**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1538 - 1538. Which is the nearest to -1.2? (a) 2.9 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-1*sqrt(52))\/sqrt(4)*-3.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8 + 19. Let j = d + -8. Let l(c) = -c**3 + 3*c**2 + 2*c - 3. Let i be l(j). Solve 2*w - 13 = -w + g, 0 = 4*w + i*g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.07*-0.424.\nAnswer: -0.02968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2*(-1 - 39\/(-2)). Solve 26 + d = 21*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -127*g + 2425. What is c(17)?\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q be 7\/((-84)\/8)*-3. Suppose 3*a - 25 = q*t, 4*a - a = t + 17. Suppose b + 11 - 3 = 4*o, 2*b + 4*o = -16. Is t >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 948.4123 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -263 + 266. Calculate the remainder when 52 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 534011?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) be the third derivative of -f**7\/1260 - f**6\/240 - f**5\/180 + 60*f**2. Factor l(w).\nAnswer: -w**2*(w + 1)*(w + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 179 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the second derivative of i**4\/16 - 3*i**2\/8 + 2*i. Suppose y(p) = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the second derivative of 0*k**2 - 1\/15*k**3 - 1\/30*k**4 - 2*k + 0. Factor o(a).\nAnswer: -2*a*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.02 + -2.02. Let s = -2.05 - n. Let c = -4.95 + s. Sort -2, -3, c.\nAnswer: c, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h**2 + h. Let x(v) = v**3 - 11*v**2 + 10*v - 7. Let g = -15 + 25. Let p be x(g). Let m = -9 - p. Calculate o(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -34.5 and -0.06?\nAnswer: 2.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 196309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14786 = 37*j - 38*j - 2*p, 5*p = j - 14730. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) -15734 (b) -2.8 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 20921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -2*n**2 + 2*n - 1. Let a be (2\/(-6))\/(1\/(-3)). Let d be k(a). Let j = d - -10. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = -47817.5455 - -47806.54550094. Let c = -11 - b. Round c to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 12, -1, 6, 54, 2, 3 in increasing order.\nAnswer: -1, 2, 3, 6, 12, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = j + 3*j + 4*y, 3*j - 2*y + 9 = 0. Let a(h) = 2*h**2 + 5*h + 2. Let v be a(j). Sort 1, -5, v in increasing order.\nAnswer: -5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*k - 3*k + 461*k**2 + k.\nAnswer: 461*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -8*g**4 - 5*g**3 + 3*g**2 + 5. Let k(w) = w**4 + 4 - 5 + 2*w**2 + w**3 - 3*w**2. Let f(b) = 5*k(b) + q(b). Find the third derivative of f(m) wrt m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 20 + 12030340?\nAnswer: 12030410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 66759 and 284137?\nAnswer: 2709814569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000155577 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -2*g**2. Let w(o) be the first derivative of -8 + 74*o**2 - 3*o**3 + o**3 - 74*o**2. What is w(b(f))?\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(200) + -2)**2 + 2 + 1*sqrt(200).\nAnswer: -50*sqrt(2) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (3\/4)\/((-7)\/(-56)). Let z be -6*((-20)\/d + 3). Solve 4*l = z*l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (40\/(-30))\/(20\/6 - 2). Let s = 3582\/7 - 513. Which is smaller: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 33176 (base 8) to base 14\nAnswer: 5126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -1757.6136 to the nearest integer.\nAnswer: -1758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.411452 to two decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -1 smaller than -303448\/533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-5)\/(5\/(-8)) + 0 - (-38 - -40). Sort 1, f, -54, -2 in increasing order.\nAnswer: -54, -2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 46*l + 2251. Let r be t(-49). Let i(a) be the first derivative of -4*a**2 - 3*a - 3. Let g(n) = 25*n + 10. Calculate r*g(q) - 10*i(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 262*i**2 + 4*i - 8. Let t be j(4). What is t rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*l - 4*l + 0*l)*(3*l**4 - 3*l**4 + 6*l**4) + (-2*l**4 + 2*l**4 - l**5)*(-3 + 6 - 2) - 2*l**5 + 0*l**2 + 0*l**2 + 2*l**5 + 4*l**5 - 2*l**5.\nAnswer: -11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = 157063.36790957 - 157081.3679. Let d = l + 18. What is d rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is j in 108*j**4 - 53127*j**3 - 111147*j**2 - 1512*j + 14820 = 0?\nAnswer: -2, -5\/12, 1\/3, 494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -35452 - -25102. What is the units digit of ((-4)\/6 - 0)\/(50\/h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.01 - -0.39. Let y = -6 - -5.5. What is the nearest to -1 in y, 2, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -218 + 222. Let i be (-4)\/8 - (-7)\/2. Let c(p) = -p**3 - p**i - 3*p**2 - 3*p + 0*p. Let z(n) = -n**3 - n**2 - n. Give j*c(a) - 12*z(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1326 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6774 + 12*l - 6774 - 12*l - 1510*l**2.\nAnswer: -1510*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 564, 1262, 2262, 3690, 5672?\n\"Answer: 21*x**3 + 25*x**2 + 476*x + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes before 4:19 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 664 and 57.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 13 = 2*y. Let d be (12 + -1)\/(1\/3). Suppose -5*q + 278 - d = 0. Calculate the remainder when q is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -61.00911124 - 7.\nAnswer: -68.00911124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m**2 + 22*m - 8. Calculate d(13).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*x + 8*i - 227, -5*i + 4156 = x + 4208 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*r + 1 - 1)*(-68 + 27 - 35)*(-11*r + 4 + 1 - 4) to s + n*r**2 + u*r and give u.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -7277*b + 319614. Give q(44).\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2 - 4 - 3 + 3 - 2 + (-1 - 4 + 4)*(0 - 5 + 3))*(-5 + 5 + 2 + 3*w).\nAnswer: -21*w - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = 38624 - 17118. Let t = 21505.0783 - v. Let d = -0.9 - t. Round d to three dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 15 = -0*w, -2*n + 1053 = -5*w. Let u = 1062 - -132. Let f = n - u. What is f rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -273 divided by -6\nAnswer: 91\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8277 is divided by 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-120)\/80*((-4)\/3)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 15686 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 69 and 6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 300395626*j**5 + 9*j**2 + 8*j - 156569.\nAnswer: 18023737560*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3\/11, -2, -30, 1\/4428, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/(((-8816)\/261 - -29) + (-1 - -6))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*2*sqrt(10))\/(sqrt(4)\/(sqrt(8)\/sqrt(4))))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -y + 1103, 4*y - 2*y - 4*p = 2218. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 54785\/354 or 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 57 a factor of 113565297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = 24 - 59. Let y = -104\/3 - w. Let s be 2\/(-13) + (-318)\/(-546). What is the third smallest value in -4, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence av when two letters picked without replacement from eaaamalavaaa?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 3*a**2 - 2*a - 8. Let p be v(-3). Let f be (-1)\/((-30)\/p - -1). Solve -3*o = 2 + 7, 3 = -3*l - f*o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1122\/5 greater than -223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-36 + 648\/24)*8\/3\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w**2 + 6*w - 3. Let r be (6 - 3)\/((-3)\/8). What is the remainder when y(r) is divided by (-357)\/(-49) + (-4)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-1\/3)*p)**4\/(p**(-2\/3))**(-1\/3))**(-3\/22) assuming p is positive.\nAnswer: p**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 115742995 is divided by 28935748.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -142613.8940875 - -361?\nAnswer: -142252.8940875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (316*k + 1220*k + 90*k + 2*k - 1 + 1 + (-4*k + 2*k + 0*k)*(2 + 0 - 4))*(-4*k + 0*k + 1 + k + (k + 2*k - 4*k)*(3 - 3 - 1)).\nAnswer: -3264*k**2 + 1632*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 7359300 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2313854, -4627684, -6941514, -9255344?\nAnswer: -11569174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4094076 days in milliseconds?\nAnswer: 35372816.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -15181 and -34759.73501?\nAnswer: 19578.73501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2 + -5)*2\/3. Let z be (4 - 2)*(-3)\/k. Suppose -b + z = -2. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -742029.42 to the nearest one thousand.\nAnswer: -742000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 7\/2 of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 731338.8cm to kilometers.\nAnswer: 7.313388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-6)\/(-15) - 32\/(-20). Suppose -100 = -5*r + 3*v, -w*r - r - 3*v + 60 = 0. Let h be (0 + (-8)\/r)\/((-1)\/(-10)). Let m(j) = -3*j - 4. Determine m(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*y + 32 = -7. What is the derivative of 105 - 6*a**2 - 5*a**3 + a**y + 3*a**3 wrt a?\nAnswer: -3*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 2*z - 43. Let j be h(22). Suppose 2*p = 7 - j. What is l in 20\/3*l**2 + 4\/3*l + p*l**3 + 0 = 0?\nAnswer: -2, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 61935*j**4 - 176354*j**2 wrt j.\nAnswer: 1486440*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3.631 + 0.631. Let n = 2 + 0. Let x = -3 - -5. What is the nearest to n in y, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 0, -2, 2\/7, 1, 7\/5, -1\/8?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -36bc + -5b1?\nAnswer: -3ca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 7913.666 decades to years.\nAnswer: 79136.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 102 and 405507.\nAnswer: 13787238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/33, 2\/156659, 0.2, 2\/5 in descending order.\nAnswer: 2\/5, 0.2, 4\/33, 2\/156659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 100296071 to the nearest integer?\nAnswer: 10015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 16163367 divided by -5387789?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.1 + 0.1. Let k = 2017\/705 + -59\/94. Let r = k + -11\/6. Which is the closest to p? (a) -2\/3 (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -56*s**3 + 2*s - 50*s**3 + 3*s**2 - 7 - 2*s wrt s?\nAnswer: -636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -18*t**3 + 3*t**2 - t + 112. Let h(m) = m**2 - 2. Let i(y) = -3*h(y) + u(y). Differentiate i(f) with respect to f.\nAnswer: -54*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -8*w**2 + 11*w - 9. Let k be a(6). Let g = k - -232. Determine v so that g + 3\/4*v**2 - 3\/2*v - 1\/8*v**3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4521621 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 7447 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 715 minutes after 8:25 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -34\/1409 and 55\/2.\nAnswer: 2818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 2*f**2 - 414*f - 7192. Give a(225).\nAnswer: 908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 3770*k. Let m(a) = 2*a. Give b(m(o)).\nAnswer: 7540*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/((10300\/(-56650))\/((-2)\/22*-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t. Suppose -5*o = -4*m + 3*m - 44, -56 = -5*o + 4*m. Let z(f) = 2. Let a(c) = c + 6. Let g(q) = 2*a(q) - 6*z(q). Give o*r(k) - 3*g(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that 2*v**3\/5 - 814*v**2\/5 - 178988*v + 11767392\/5 = 0.\nAnswer: -504, 13, 898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a + 2*n + 50 - 21, -2*a - 5*n + 31 = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h**3 + 7*h**2 - 8*h + 8. Let w be m(6). Let t be (-4 - w)\/(2\/(-2)). Solve -2*s - 3*d = 12, -3*s + 3*d - 5*d - 8 = t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 3*v = 9, 2*m - 8*v - 15 = -3*v. Let c(f) = -f + 436103. Let u be c(m). Let x = u - 736103. What is x rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 times -15503230?\nAnswer: -7751615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -314 + 289 + 18 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -w - 12. Let t be m(-7). Let p(r) = -2*r - 6. Determine p(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/18 - 534\/27. Let x = 4 - y. Let b = x - 10. 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: Suppose 2*t = 4*n - 659344, -117614 - 376933 = -3*n - 5*t. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 11) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -9 + 89*b**4 - 89*b**4 + b**5 - b + (2 + 0 - 4)*(-10*b**3 + 10*b**3 - 10*b**5).\nAnswer: 21*b**5 - b - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*(-2*sqrt(1539) + 2 - (-1 + 1 + sqrt(1539)) - (sqrt(1539) + 5*(sqrt(1539) - (sqrt(1539) + -1)) + -3)) + 3)*1)**2.\nAnswer: 648*sqrt(19) + 221625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 1062553037 by 109.\nAnswer: 9748193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n = -30*n - 198 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*b = 4*b - 15*q + 48 - 495, -32 = -5*b + q + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Subtract 33.92 from 2.\nAnswer: -31.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 526680068 + -526680119.4000642. Let h = o + 51.4. Round h to six dps.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -33 - -36. Let l = -1 - -1. Let o(y) = y**2 + 2. Let r be o(0). Solve 5*g = -r*f + 17 - h, -2*f - 6 = l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u = 28*i + 209, -2*i = 5*u + 9539 - 9498 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 11*r - 137. Let o = -133 - -149. Calculate the remainder when k(o) is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 9 = 5*t, -3*t = -5*k + 6*k - 6. Suppose 45*v**4 - 41*v**4 - 4*v**2 + 4*v**5 - 4*v**t + 0*v**5 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*k - 4*k - 27 = 0. Suppose -5*p = -k*p + 112. Let t = 63 - p. Calculate the remainder when t is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in -3\/2, -2, 409.9, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 2*g + 2433 - 2434 - g. Determine s(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 171282 is divided by 5542?\nAnswer: 5022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (4 - 1 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -1359798.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be (24\/18)\/(1\/3). Suppose -5*m + 6 = -z, -m = 3*z - 10 - s. Sort -5, 5, m.\nAnswer: -5, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17652 - 3860 = -4*u. List the prime factors of u.\nAnswer: 2, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -34\/5, -1\/3, 3\/4, -8\/15, -5\/3 in decreasing order.\nAnswer: 3\/4, -1\/3, -8\/15, -5\/3, -34\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 785 (base 9) to base 8.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p + 5*b - 3530, -5*b - 1 = 9. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**3\/6 - 2*y**2 - 15*y\/2 - 9.\nAnswer: -(y + 3)**2*(y + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*o + 2*h - 1787 - 9457, 5*o - 9350 = 5*h. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 117637, 236456, 355261, 474046, 592805, 711532?\n\"Answer: -f**3 - f**2 + 118829*f - 1190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -18379 - 237?\nAnswer: -18616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32094.\nAnswer: 2, 3, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 47 a factor of 4329217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*d - 13 - 21*d - 20*d + 12 + 22*d.\nAnswer: -29*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 43391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -3*j**5\/7 + 106539*j**4\/7 + 319647*j**3\/7 - 106539*j**2\/7 - 319644*j\/7 = 0.\nAnswer: -3, -1, 0, 1, 35516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 10) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:53 PM and 3:08 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the third derivative of 3*d**5\/40 + d**4\/6 - 17*d**3\/6 + 2*d**2. Let w(t) be the first derivative of b(t). Differentiate w(g) wrt g.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the first derivative of -1\/3*r**3 - 1\/2*r**2 + 3\/2*r**4 - 2 - r. Suppose 5 = -7*d + 2*d. Determine l(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(99) + sqrt(99) + 2*(sqrt(99) + sqrt(99)*2 + sqrt(99)))\/(1*sqrt(729)) + -2*sqrt(1331)*4*1.\nAnswer: -782*sqrt(11)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = -16*x - 8789000. What is x rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2628 - 2610. What is the third smallest value in h, 3, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ix when two letters picked without replacement from xliqxilllxill?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4 + -2. Suppose -y*i = -i - 8. Let o = 25\/3 - i. Which is the closest to 2\/3? (a) 0.2 (b) 2\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 33451.73302 - 0.03.\nAnswer: 33451.70302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*(2\/(-1))\/((-315)\/(-9)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -39330*r**2 + 19687*r**2 - 1275*r**3 + 19643*r**2 + 1273*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00227 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 397 = 19*d + 378 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1918308971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -2*l. Let z(b) = -8. Let j(w) = 1. Let d(y) = 4*j(y) + z(y). Let i(r) = -r - 1. Let x(c) = d(c) - 4*i(c). What is x(a(v))?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 106*h - 6)*(-h - h - h + (-7*h + h + 4*h)*(-5 + 0 + 4)) + 120*h - 120*h + 20*h**2.\nAnswer: -86*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (89 - -42) + 0 + (7 - 18)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.6 - -0.614. Round p to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ggt when three letters picked without replacement from {g: 2, o: 2, t: 7}?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -12980 rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -5*t + 32. Calculate the remainder when 2*(75\/(-2))\/(-5) is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*i + 4 - 4)*(-3*i**3 - i**3 + 2*i**3) - 1900*i**3 + 1900*i**3 + 227*i**4 to l*i + y + d*i**4 + b*i**3 + s*i**2 and give d.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 68*o - 73*o + 3*r + 533269, 5*r - 106609 = -o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*d - 25 = -5*z, 8*z = -3*d - 81 + 121 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/4, -3\/4, -0.2, -2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -23, -5428, 132 in ascending order.\nAnswer: -5428, -23, -2, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3*4\/36*2*-3)\/(-33386). Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -2*u**2 + 26*u + 15. Determine g(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-16)\/(-520)*-5 + (-132)\/(-13). Let u(p) = p**2 - 11*p + 8. Determine u(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -235 = -5*a - 5*r, 2*a + 3*r - 14 = 76. Suppose a - 18 = 11*y. Solve 3*d + y*u = 9, 3*u - 9 = -d - 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -n**3 - 57*n**2 + 7. Let u be d(-57). Let o(c) = -c**2 + 7. Let x(j) = -j**2 + 6. Give u*x(t) - 6*o(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g**3 + g**2 - 18*g + 2. Give b(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1102 - -1102.8. What is the closest to 11 in -3, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find d such that 12*d**4 + 562659*d**3 - 3235608*d**2 + 3657756*d + 1125456 = 0.\nAnswer: -46894, -1\/4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuveeuuqejqejez. Give prob of picking 1 j and 1 u.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the third derivative of b**6\/120 - b**5\/10 + b**4\/8 + 2*b**3 + 33*b**2. Let i be s(5). Suppose -4*h - i*h = -936. Is h a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -21*v - 2. Let x be (-10)\/(-4) - (-1)\/2. Let q be o(x). Let m = -584\/9 - q. Which is the biggest value? (a) m (b) -13 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 68107?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3\/5*5\/1. Suppose 14 = h*g - 4*g. Which is smaller: -15 or g?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the second derivative of -m**7\/210 + m**5\/30 - m**3\/6 + 9*m**2\/2 - 11*m. Let y(j) be the first derivative of h(j). Find f such that y(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 6 = f. Let s = f + 20. Suppose 8 = -5*j + s. Solve 3*u - z + j = 0, u - 6*u - 25 = 5*z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*a + 2*a**3 + 3*a - 17*a**3 + 4*a**3 + 8*a**3 + a**2 + a**3 - a**2 + (6 - 2 - 2)*(-a**3 + 0*a + 0*a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: ((-174)\/18 - -9)*57\/(-2) - 5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -93\/440 and -75\/44638.\nAnswer: 892760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 442515000 rounded to the nearest one million?\nAnswer: 443000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 8349819 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 26153519?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/12 - 6\/36. Let d = 2 + x. Solve -3*n - 13 = -2*z, z - n + 4 = d*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1083 - 1098. Suppose 5*w - 90 = -5*q, q + 2*w = -4*q + 90. Let b = q - a. What is the remainder when 129 is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51*f - 171*f - 57*f + 8505381 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 173160 divided by 17316?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 4902 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30881157 - q**3 + 30881157.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 4, m: 3, k: 1, w: 1, n: 2}. Give prob of picking 1 m, 1 n, and 1 w.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 6, -1, -2\/5, 0.1593, -68, -5, 1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/((v*v**1)\/v*v))**(-1\/22)\/((v\/(v\/(v\/(v\/((((v*v\/(v*v\/(v*v*v*v\/(v\/(v**10\/v)*v))))\/v)\/v)\/v))*v)))\/v*v*v**(-7\/2)))**20 assuming v is positive.\nAnswer: v**(-1200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 - 3)*(-3*h**3 + 0 + 0) + 1 + h**3 - 1.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2 and -20497?\nAnswer: 40994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/10 + 2982\/(-240)*-12. Solve 18*y = -167 + j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8608.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3 - 3. Let n = -0.5 - 2.5. Let d = 64.02 - 63.62. What is the third biggest value in n, d, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*h**2 - 98463280*h + 484750875417920.\nAnswer: 5*(h - 9846328)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(44) + sqrt(704)*-3 - sqrt(44))\/(sqrt(64)*-1).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.24 and 7834886483.\nAnswer: 7834886482.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -8 + 7*g**4 + 8*g**3 + 46*g**2 - 47*g**3 + 6*g**3 - 12*g.\nAnswer: (g - 2)**2*(g - 1)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1261776 take away 0.38013?\nAnswer: -1261776.38013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Solve -1616 - 4654 = 88*w - 2134 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 4419877 a multiple of 427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19811153*-4.\nAnswer: 79244612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 138, 132, 56, -144, -522, -1132, -2028, -3264?\n\"Answer: -9*m**3 + 19*m**2 + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 52 - 46. Suppose -5*k = 4*a - 27, -4*k = -5*a - 3 + x. Let i(t) = -3*t**2 - 13*t**3 + 2*t + 13*t**3 + t**3. What is i(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*y**4 - y**4 - 2*y**4 + (-2998*y**4 - 3031*y**4 + 1435*y**4)*(3 - 3 - 1) to the form u*y**3 + g + x*y**2 + v*y**4 + w*y and give v.\nAnswer: 4593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 57.147683 to zero dps.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m - 8*m + 15 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 101\/3604 and -77\/3604?\nAnswer: 3604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Subtract -16043905.676 from -3.\nAnswer: 16043902.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 287357?\nAnswer: 7, 41051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from effrhhrxxfvrh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) 3 (c) 242\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2776*r**2 + 2776*r**2 + 462*r**3)*(5 - 2*r - 5)*(-1 - 3 + 1) to l*r**3 + x*r**4 + a*r**2 + g + p*r and give x.\nAnswer: 2772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3555015 and 17350.\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o**2 + 61*o + 803. Calculate x(-39).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 5, 46, 0 in increasing order.\nAnswer: 0, 3, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1773319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 11*t**2. Let k(r) = -5*r**2. Suppose 4 + 0 = -y. Suppose s + 2*s - 9 = 0. Suppose -s*j = 18 + 9. Calculate j*k(d) + y*h(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9025317 and 114427.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + l = -2183 + 702, -1 = l. Put w, 0.3, 1\/7 in decreasing order.\nAnswer: 0.3, 1\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 22\/(-14) + -1 + -3. Let v = 7365.2 + -7365. Is l < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-45)\/10 + 5)*56. Calculate the highest common divisor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) -2\/9 (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*w + 82 = -43*w + 2*k, -3*w = -k - 246. Solve -3*v = -70 + w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -0.41 (b) -17 (c) 1\/11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -38 - -43. What is the closest to 0 in 1, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 2\/21 (b) 1401137 (c) 0.3 (d) 1 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oqq when three letters picked without replacement from quiuuquuiuuouiuuiuio.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + ((-6*(sqrt(68) + 0) - sqrt(68)) + sqrt(68))*4 + 1 + -3*-2*sqrt(68) + 6*(-1 + sqrt(68)))*-3)**2.\nAnswer: 2160*sqrt(17) + 88353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the first derivative of 5*y**4\/4 - 10*y**3 + 30*y**2 - 40*y + 7. Solve l(i) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -38 - -27. Let r = l + -3. Which is smaller: r or -13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -1, 6, -2.\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p**3 - 56*p**2 - 1824*p + 3. Determine l(-23).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -124*c + 115. What is the tens digit of o(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(19) + 0)*-1*-6 - sqrt(152)\/((sqrt(128) - -3*sqrt(128)) + sqrt(128)))**2.\nAnswer: 269059\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2 - 5. Let r(o) = 2*o**3 + 2*o**2 + 3*o - 3. Let t be r(-3). Let d = 53 + t. Put 0.3, d, v in descending order.\nAnswer: d, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 12\/(-54) - (-76)\/18. Suppose 2*h - 8 = 0, -4*h + 2 = -2*u - b. Suppose 3 - 15 = 4*c. Put c, u, 4 in decreasing order.\nAnswer: u, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mzlz when four letters picked without replacement from mmmllgzkljgzmklmkkkl?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (10 - 14) - -13 - -3 - (-1 - -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of -5585924.8 and -0.2.\nAnswer: 1117184.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-37)\/n*n*n**(-17) assuming n is positive.\nAnswer: n**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -13 times -7.8\nAnswer: 101.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-9 + -1 - -10) + -20\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 + -54530?\nAnswer: -54525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1333, -1333, -1335, -1339, -1345?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -22*l - 240. What is s(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -166\/29 - -3623\/638. Put 1\/3, 4\/5, h in decreasing order.\nAnswer: 4\/5, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 7\/2 of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 17457511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -70467708 - -0.05.\nAnswer: -70467707.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.6 and 0.15.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -112, -80, -34, 26, 100, 188, 290?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:15 AM and 1:30 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 640530584 by 5749.\nAnswer: 111416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -4 + 3*c + 2*c**2 + 8*c**2 - c**3 - 3*c**2 - 5*c. Let u be y(5). Calculate the remainder when 10 is divided by ((-6)\/(-18))\/(2\/u).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8634950 to the nearest integer?\nAnswer: 2939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = 9.2 + -9. Let q = 9 + -9. Suppose q*i + i = -2. Which is the nearest to i? (a) 4 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((378\/49)\/9)\/((-1683)\/(-62832)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -4707, -4704, -4701, -4698?\n\"Answer: 3*i - 4710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = x - 189. Let g be 1\/(-5) + x\/(-25). Calculate the least common multiple of 3\/(-2)*28\/g and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -205.15 - -199. Let j = 6 + n. Let t = 37560 + -37560.4. Sort t, 3, j in increasing order.\nAnswer: t, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 19251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (110\/(-25) + 4)\/(12\/(-10))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 1 = 3*n - 2, -3*a - 21 = -3*n. Suppose -n*f + 5*f - 182 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4734 and 3662012?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pml when three letters picked without replacement from pgmlmyg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 3, -7, -31, -69, -121, -187, -267?\n\"Answer: -7*v**2 + 11*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -10*o**3 - 44*o**2 + 16*o + 16. What is w(-5)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -385356, -1, 1\/2, 1\/7, 5, 0.2, 2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -64 + 47 + 2 + 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 14 - 12. What is the closest to 0 in b, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -97 - -45. Let k = -51.99 - m. Let h = k + 1.99. Which is the smallest value? (a) h (b) -9 (c) -1 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - d = 47, -3*d - 3 = -2*d. Suppose -g + 6*g - 25 = 0, -4*h = -3*g + a. Suppose -u + 11 = h. Calculate the remainder when u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -u + 2, 8 = -2*a - u + 2*u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 5, 146, -85, 1, 4 in increasing order.\nAnswer: -85, 1, 2, 4, 5, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qqrw when four letters picked without replacement from rrrwwwrrrrqrrqqq?\nAnswer: 27\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/(-8) - (-52)\/16. Suppose -2*a + 1232 = r*a + 3*k, -3*k + 985 = 4*a. Suppose -3*l + a = -4*g, -2*l + 2*g + 244 = 76. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -158*t - 720 + 85*t + 74*t in the form h*t + l and give l.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 g and 1 o when four letters picked without replacement from {p: 3, u: 1, g: 4, n: 4, s: 2, o: 3}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -23337, 0, -2, -3, 5 in decreasing order.\nAnswer: 5, 0, -2, -3, -4, -23337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = 4*i + 4, 0 = -3*d + d - 5*i - 11. Let h be 1 - (59\/19 - d). Are 0 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 7, -18243 in decreasing order.\nAnswer: 7, 0, -18243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -39*q**3 - 3*q**2. Let o(k) = -77*k**3 - 7*k**2. Give 3*o(c) - 7*s(c).\nAnswer: 42*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -168259 + 236822. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h + 4*h - 33. Let m = h - 5. Calculate the remainder when 96\/10 - (-4)\/10 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*n - 4 + 3 + 2*n)*(-15*n**3 - 37*n**3 + 2*n**3) to the form j*n**4 + b*n + w + x*n**3 + g*n**2 and give x.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 20 = -w. Suppose 3*c - 7 = -4*a - 0, 4*a + w*c = 1. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -49, -85, -105, -97, -49?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/(-20)*5 + (-6)\/56. What is the closest to -30 in f, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 186 = 4*n - 1550. Let q = -277 + n. Suppose -461 = -4*f - q. What is the highest common divisor of f and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 316*8\nAnswer: 2528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9.4 + 9. Let n = -0.3 - 0.7. Which is the biggest value? (a) 4 (b) n (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 2*w**2. Let l(d) be the first derivative of 2*d**4\/3 + 6*d + 1. Let r(a) be the first derivative of l(a). Determine r(b(z)).\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47198938.\nAnswer: 2, 53, 59, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-210)\/63)\/(20\/(-24)). Solve 0 = -32*a + 31*a - q*z - 3, a - 7 = z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*d**5\/4 + 11427*d**4\/4 + 5449245*d**3\/2 + 16313469*d**2\/2 + 32604099*d\/4 + 10864227\/4.\nAnswer: 3*(d + 1)**3*(d + 1903)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = -15 - -33. Suppose -3*i + 4 = -4*a + 21, 2*i - a = -k. Let q(g) = -12*g + 31. Is q(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 21 = 3*h - 2*h, 4*h + 4 = 0. Calculate the greatest common divisor of 16 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*f**2*h**3 + 10*f**2*h**2 + 672*f*h**3 + 2*f*h**2 - 6 wrt h?\nAnswer: -12*f**2 + 4032*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 9 = s + 3*s, 18 = -3*k - 3*s. Let d be (-4 + 6)*k\/(-2). Let o(r) = r**2 - 2*r - 6. What is o(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*x + 146 = 410 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a = -5*l - 12 + 3, -2*l + 5*a = 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -6*z + 40. Let p be -10*(0 + z\/4). Is p at most as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -10*3\/11*(-308)\/28. Solve 52*h = m*h - 132 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -14.33 + 14.33. What is the third biggest value in 142, 3\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 - 3)*(-10*o**3 - 6*o**3 + 8*o**3) + 2*o - 2*o**3 - 2*o + (-4*o + 0*o + 3*o)*(17*o**2 + 23*o**2 + 0*o**2) + o**3 + 3*o**3 - 6*o**3.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -223204404012 + 3?\nAnswer: -223204404004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 - -13\/2. Let c be (-4)\/(-18) + (-32)\/(-18). Suppose -o = -5, c*m - 5*m - 4*o + 23 = 0. Is m < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -2\/11, -2\/7, 0.3, -3\/2, 21, -106?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 697 minutes after 12:21 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2012, -2005, -1986, -1949, -1888, -1797?\nAnswer: -1670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from oppopppppccqcpppqop. What is prob of sequence qooc?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 248 - 584. Let w = -283 - l. What is the remainder when 261 is divided by w?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:16 AM and 8:43 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 13*q**2 - 12*q**2 - 17 + 5 + 2*q**2.\nAnswer: 3*(q - 2)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -850 or -852?\nAnswer: -850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1680\/(-70)*(-12)\/(-96)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 30784514, 30784513, 30784512, 30784511, 30784510?\n\"Answer: -s + 30784515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5398156*0.5.\nAnswer: 0.2699078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2 + (-4)\/((-8)\/15) + -5. Which is the second smallest value? (a) g (b) 1 (c) -3\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 506\/7, 1\/8, -270\/13, -1\/2 in decreasing order.\nAnswer: 506\/7, 1\/8, -1\/2, -270\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 591 less than 591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 647 + -430. What are the prime factors of o?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w = 3*t + 37, t + 94 = -5*w + 115 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4127\/4 - -1032. Factor -z*u**2 + 0 - 1\/4*u.\nAnswer: -u*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*o - 3*o - o**4 + (2*o**2 - o**2 + o**2)*(-592*o**2 - 193*o**2 + 120*o**2).\nAnswer: -1331*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -49995.6 + 591.292?\nAnswer: -49404.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -72 + 54*a + 2*a**2 - 37 - a**2 - 54*a to the form w*a**2 + v*a + m and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0002558 to 5 decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 359 minutes after 8:45 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = -68.5 - -68. Which is the fourth smallest value? (a) -1\/7 (b) -0.1 (c) k (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 11*f**2 + 4*f + 4. Let x(s) be the second derivative of -5*s**4\/6 - 5*s**3\/6 - 5*s**2\/2 - 20*s. Calculate -5*h(m) - 4*x(m).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-8)\/(-5))\/(1\/5). Let g = 94 + -62. Calculate the highest common divisor of g and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 64\/297 or 0?\nAnswer: 64\/297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -3*i**3 + 4. Let x(q) = 33*q**3 - 60*q**2 + 2*q + 6249. Let h(r) = -10*b(r) - x(r). What is the first derivative of h(p) wrt p?\nAnswer: -9*p**2 + 120*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:17 AM and 3:32 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 7*v - 4. Let r be d(5). Let s = 0 + r. Let y = s - 17. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 199.0332cm in nanometers?\nAnswer: 1990332000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 225*15\nAnswer: 3375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 389\/(-8) + (32 - (8262\/144 + -25))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(175) - sqrt(175))\/sqrt(5))\/sqrt(5).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 43 - 41. Let a(x) = 50*x - 46*x + 10*x**f - 2 + x**3 - 22. List the prime factors of a(-7).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the first derivative of 3*b**3 - 12*b + 3\/4*b**4 + 0*b**2 + 3. Solve j(h) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -12132 + 12132.4. Sort -518, t, -0.1 in descending order.\nAnswer: t, -0.1, -518","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 11*z**2 + z + 12. Let u be t(-6). Suppose u = 7*y + 80. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -1955*s**2 + 676427*s + 1027. Give f(346).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (6*u - 4*u + 7*u)*(3*u - 4*u - u) - 3 + 3 - 23*u**2 + (2*u + 3*u - 6*u)*(2*u - 3*u - 2*u) in the form h*u**2 + k + w*u and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -39719.2 and -2?\nAnswer: 79438.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 75?\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -5338 rounded to the nearest 100?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2518*o**3*r**2*x + o**3*x + 235*o**2*r*x**2 - 21*o**2*x**2 - 4*o*r**2*x**2 + 5*r**2*x wrt r?\nAnswer: -5036*o**3*x - 8*o*x**2 + 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 3*w + 4003 = -0*w, -3*t = -5*w - 2429. List the prime factors of t.\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 187 + -188. Is (0 - -191)*(6 + l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1103 - 31985\/29. Let k = -0.3 - -0.5. What is the second smallest value in 3, n, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -r**2 - 9*r + 7. Calculate the remainder when 28 is divided by v(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-132)\/770)\/(1*10\/25).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1)\/(-44)*568473*4\/(-6). Let o = -8616 - v. What is the common denominator of o and -113\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 983, -2033, -7069, -14131, -23225, -34357?\n\"Answer: -m**3 - 1004*m**2 + 3*m + 1985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/(-27)*116\/(-87)*(-36)\/(-40)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 242 (base 9) in base 4?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -61*b - 5. Is 14 a factor of a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 505649 (base 10) in base 7?\nAnswer: 4204124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-17 - -2) + 25 + -17?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*l + 3*w - 0*w - 6, -5*w = 2*l - 1. Suppose l = 5*o - 12. Let x = -3 + 5. Which is smaller: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -3*i**3 - 5*i**2 - 2*i + 2. Let f be 0\/(-5 - -1) + (6 - 4). Let z(y) = 10*y**3 + 16*y**2 + 7*y - 7. Calculate f*z(v) + 7*b(v).\nAnswer: -v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 360 and 34475680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttqttttttttt. What is prob of sequence tt?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.03, 4, 0, -0.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-31 + -10 - -15) + 53.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5908 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -2*k**2 - 1021*k - 3046. What is g(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 2*v**2 - 35*v - 10. What is the remainder when 37 is divided by z(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, o: 3, c: 1}. Give prob of picking 3 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-33)*d*d**34\/d*d**39\/d*d**36 assuming d is positive.\nAnswer: d**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -11b + 4cc9?\nAnswer: 4bad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 0, -53, -204, -501, -992, -1725, -2748?\nAnswer: -4109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 409 divide 250164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/773, -131, 0 in decreasing order.\nAnswer: 2\/773, 0, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 2419 (base 15) to base 7\nAnswer: 31242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -3*s**3 - 74*s**2 - 40*s + 62. Give z(-24).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is n in -3*n**5 + 25857*n**4 + 51735*n**3 - 77577*n**2 - 103464*n + 103452 = 0?\nAnswer: -2, 1, 8621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (45\/45)\/((2*-1)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.9953 rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*g + 53*g**2 - 54*g**2 - 18*g)*(3*g**3 - 5*g**3 + 4*g**3).\nAnswer: -2*g**5 - 26*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e, 1 p, 1 b, and 1 c when four letters picked without replacement from becbsepacppec?\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 74064252?\nAnswer: 2, 3, 6172021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00082692 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s + 228. Let o be h(0). Suppose -4*a + o = -84. Calculate the remainder when a is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 30 + -151\/5. Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -872058 - 3?\nAnswer: -872062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = -875 - -883. What is the greatest common divisor of 240 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6072 = -2*w + 3584. What are the prime factors of w?\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes before 9:04 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2480 divided by -285.\nAnswer: 496\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 311*d - 203*d = -377*d + 3880 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 18199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 8*a - 33. Let k(r) = -3*r + 11. Let o(l) = -7*k(l) - 2*m(l). Let q be o(3). Suppose 383 - 91 = q*f. Round f to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1413 + 1415. Let b(g) be the second derivative of -6*g**q - 8*g - 2*g**3 + 0 - 1\/4*g**4. Factor b(u).\nAnswer: -3*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 377*l**2 + 26*l**3 - 377*l**2 + 25*l**3 - 2.\nAnswer: 51*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 71 - 71.29. Let g = -0.01 + q. Let t(o) = 4*o + 134. Let r be t(-34). Which is the smallest value? (a) 0 (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 542973, 542972, 542969, 542964, 542957, 542948?\n\"Answer: -f**2 + 2*f + 542972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 460 is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -53\/4022468 and -95\/16089872.\nAnswer: 16089872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 2, 9, 26, 53?\n\"Answer: 5*d**2 - 8*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 2*a**2 - 37*a + 132. What is b(9)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 614 + -602. Is 8 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -6567 + 2?\nAnswer: -6565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of x**5 - 3*x**4 - 64*x**3 - 4*x**2 + x - 16210350?\nAnswer: 20*x**3 - 36*x**2 - 384*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + (-20 - (-14 - -1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1 + 0*(-1)\/2. Let m(l) = -4 - q + 8*l + 4. Calculate m(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is m in -m**4\/2 + 8823*m**3\/2 - 25948443*m**2\/2 + 25438123621*m\/2 = 0?\nAnswer: 0, 2941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -47894, -47880, -47866, -47852, -47838, -47824?\n\"Answer: 14*h - 47908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in five quarters of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 3*g - 3. Let q be p(3). Calculate the greatest common divisor of 8 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(1\/2)\/t**(-1\/4))\/((t**(-2\/3)\/t)\/t)**(-6\/23))**31 assuming t is positive.\nAnswer: t**(155\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.074? (a) 0.1 (b) -3\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 8*u - 85 = 7*u, -d - 3*u + 35 = 0. Calculate the remainder when 185 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 48, 238, 564, 1032, 1648, 2418, 3348, 4444?\nAnswer: 5712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2 + -58?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4989, 5339, 5683, 6021, 6353, 6679?\nAnswer: 6999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**3 - 3*c**2 + 7*c + 6. Let x be f(-5). Let h be 4\/6 - (-4)\/12. Let p = h - 1. Solve p = 2*d - 0*d - 3*n - 15, 0 = 4*d - 3*n - x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**1)**(-26)\/((t**5*t)\/(t\/(t*t*t**(-7)\/t))) assuming t is positive.\nAnswer: t**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5630?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s when two letters picked without replacement from urrrrxsurusur?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = 253542269\/786 - 322573. Find the common denominator of -65\/27 and s.\nAnswer: 7074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 758153237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be -4 + -3*52\/(-12). Let t be 4 + 93\/(i\/(-3)). Let v be (-2)\/9 - 60\/t. Solve -v*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 3\/7, 8, 4, -1\/5, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c**2 + 1214*c + 4884. Calculate i(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 180530 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 637.8 - 636. Sort -11, -3, v, 2 in decreasing order.\nAnswer: 2, v, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 4 - 6 = 0, -10 = w - 5*s. Suppose w = 7*l + 3*l - 3460. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1.65422 <= -2\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 46624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the third derivative of -1\/12*a**4 + 1\/2*a**3 - 1\/120*a**5 - 4*a**2 + 0 + 0*a. Let d(f) be the first derivative of c(f). Calculate d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = r**3 + r**2 - 104*r + 635. Calculate n(7).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = -2*r. Factor -3*c + 3*c + c**4 - c**2 + r*c**2.\nAnswer: c**2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 55\/4 of a tonne in kilograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -236 - -240. Suppose h = -5*n + o + 4, 5*n - 4*h - 18 = 0. What is the highest common factor of n and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3 + -2. Let x = 0.9 - z. Which is the nearest to x? (a) 3 (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 654, 745, 824, 885, 922, 929?\n\"Answer: -g**3 + 98*g + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 554600 to the nearest 10000.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -1203167 divided by 7\nAnswer: -171881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(425) + 1.\nAnswer: 2 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -12*h**2 - 325*h - 22. Let y be l(-27). Put -3, 70, y in descending order.\nAnswer: 70, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes after 7:10 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) be the second derivative of 9*d**5\/4 - 16*d**2 - 44*d. Differentiate x(a) with respect to a.\nAnswer: 135*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -d**3 + 3*d**2 - 2*d + 4. Let i be j(-5). Suppose -191 = -4*r + 5*b, 0 = 5*r + 2*b - i - 0. Suppose 5*f = -14 + r. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2439)\/542*16\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -21*d**2 - 8*d - 5 + 12*d**2 + 11*d**2. What is s(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3\/2*12\/9. Let x(q) = -45*q**3 + 5*q**2 + q - 2. Let p be x(-1). Suppose c + z - p = -d*c, 4*c - z = 58. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -107 - 103 = -2*u - 5*q, 4*u - 5*q - 420 = 0. Calculate the highest common divisor of u and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (64*i + 179*i + 625*i)*(4*i + 0*i - 2*i).\nAnswer: 1736*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**2 + h + 3. Let w be u(0). Suppose -w*c - 4*o + 2*o = 0, -c = 5*o. Suppose -44 = -c*s - 2*s. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1136504 and 304.\nAnswer: 2273008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/12, -8188, 7, -112 in increasing order.\nAnswer: -8188, -112, 1\/12, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -1, -7.6, 4 in ascending order.\nAnswer: -7.6, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = 29 + -34. Let y = 0 + -0.02. Let x = y - -2.02. What is the closest to 2\/3 in x, t, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -2*s**3 - 15*s**2 + 7*s - 11. Let r be l(-8). Let t be r\/3*-4 + 3. Solve 3*z - 16 = -t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttckvacm. What is prob of picking 1 t and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/19344 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o**3 + 26*o**2 + 6. Let s be r(-26). Calculate the highest common factor of s and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = 5*l + 180148, -4*l - 2*n - 13232 - 130890 = 0. Let d = l + 72029. What is d rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -121*a + 265. Give y(0).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**2 - 5*h + 2. Let g be u(-3). Let l(c) = 5 - 7 + 3*c + 0*c - 9. Calculate the remainder when l(g) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 = 21*q - 28*q + 54*c - 51*c - 7, 3 = 2*q + c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4794275 to the power of 1\/2, to the nearest integer?\nAnswer: 2190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 10285, 10253, 10207, 10153, 10097, 10045, 10003, 9977?\n\"Answer: c**3 - 13*c**2 + 10297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -41*p**5 - 176*p**2?\nAnswer: -2460*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 100.615971 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = -117 + 132. Suppose -11*q + a*q = 64. Calculate the lowest common multiple of 72 and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bx when two letters picked without replacement from rrbrrrrxmrbrrbrbb?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**3 - 2*x**2 - 2*x + 5. Let i = -31 - -28. Calculate the remainder when 38 is divided by l(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) be the third derivative of 373*a**4\/12 - 5*a**3\/6 + 47*a**2 + 2*a. What are the prime factors of v(1)?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**1)**(-37)\/(z**(-7)\/(z**(1\/2)*z))*(z**(3\/5)*z**(-3\/8)\/z)**14 assuming z is positive.\nAnswer: z**(-1527\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = s - 27. Let p be s*(-6)\/(-9)*14. What is the units digit of (2\/(-4))\/((-3)\/p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4)\/10*(-3 + -12). Let b be 1*-3 - q\/(-1). Suppose 7*h - 95 = b. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 305 = -p + 4*n, -p + 120 = -5*n. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17629390 is divided by 2518483.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 725\/9 - 8141\/90. Calculate the common denominator of a and -71\/3144.\nAnswer: 15720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 2*d**3 + d**2 + 5*d + 5. Let z be m(-1). Let c(v) = 5*v**2 + 3*v + 3. Let l be c(z). Solve 0 = -0*s + l*s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 0, -4\/9, 1, -21?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5.14 + -0.14. Let k = 2.4 - 2. Let s = -2.4 + k. Which is the third smallest value? (a) s (b) 1\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*l**3 + 954*l**2 + 1922*l - 2874.\nAnswer: -2*(l - 479)*(l - 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:33 PM and 8:44 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -0.54, -109 in ascending order.\nAnswer: -109, -5, -0.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = b**3 - 2*b**2 + 9*b - 33. What is the remainder when c(5) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 253 + -269. What is the third smallest value in -2\/5, 1, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h*(h\/(h**(-3\/2)\/h))\/h)\/h)**(-26))**37\/(h\/(h\/(h\/h**7))*h*h**(4\/3)*h*(h*h\/(h*h**(-2\/7)))**28) assuming h is positive.\nAnswer: h**(-7315\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = 2*l + 42, -u + 22 = -2*l - 0*u. Let s = l - -26. Let j = s - -39. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -190270524797 + 23.\nAnswer: -190270524774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 96.7 + -7.7. Let a = o - 89.041. What is a rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 15\/2 - (-7)\/(-56)*4. What is the derivative of -2 + 29*f**3 - q - 3 wrt f?\nAnswer: 87*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 46671 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor u**4 + 3*u**3 - 28*u**2 - 60*u.\nAnswer: u*(u - 5)*(u + 2)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 13, 27, 55, 103, 177, 283?\n\"Answer: o**3 + o**2 + 4*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 204 less than 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -666728.23 to the nearest 1000.\nAnswer: -667000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 2 and 87865?\nAnswer: 87863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/(t*t**(-1)\/t))\/t)**(-1\/3)\/(t**(-1\/2))**(1\/14) assuming t is positive.\nAnswer: t**(-25\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -r + 107*r**2 + r - 80*r**2.\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 22*b - 22*b + 6*b**2 + (3*b + b - 2*b)*(4*b - b - b) + 2*b**2 - 2*b**2 + 2*b**2.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 237 minutes after 11:00 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 850 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -2*n**3 + 77*n**2 + 3711*n - 143639. Calculate q(40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2102 - -3913. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -198 + 200. Let z(h) be the second derivative of -4*h + 0 - 1\/6*h**4 + 0*h**k + 0*h**3. Let n(c) = -6*c. Calculate z(n(u)).\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 4, j: 3, b: 5, v: 1}. Give prob of sequence bj.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 5200265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-10 - (-1 - 5)) + 2. Let n be (-30)\/7*(-3)\/(-9). Which is bigger: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5041 - 4991 = -11*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**7\/g**(1\/12)*((g**(2\/3)*g)\/g)**14 assuming g is positive.\nAnswer: g**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 129\/130000 and -69\/6035000.\nAnswer: 156910000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -571*j**2 - 1096*j**2 - 228*j**2 - 2745*j**2 - 43*j**2 to the form t + r*j + y*j**2 and give y.\nAnswer: -4683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3, 0.5, 8\/7, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 12*o**2 - o - 1. Let y be b(-1). Let l be (-8)\/y*(1 + -7). Suppose -13*c + 19 = -20. Which is bigger: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -3*z**2 - 2*z - 1. Let v(f) = -5*f + 8. Let a be v(2). Determine w(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 2*v - x, -4*v + x + 12 = -5. Solve -18 = -v*m + 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3215001 (base 11) to base 10.\nAnswer: 5658082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 - 22*z - 158*z + 4 - 2 - 2 to k*z + p and give k.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -5*b**2 + 7. Let u(s) be the third derivative of -1\/30*s**5 + 3*s + 0 - 3*s**2 + 0*s**4 + 1\/2*s**3. Calculate 3*r(g) - 7*u(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 316\/63 - 40\/9. Calculate the common denominator of v and ((-19)\/3)\/(10\/(-3)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 78 - 72. Suppose -3101 = -h*x - x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -15 + 22. Let x = -6 + i. Which is the closest to 1? (a) x (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrrhrrrrraaararhrrra. What is prob of sequence har?\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) be the first derivative of 19*f**4\/4 - 6*f**3 + 240. Find the third derivative of c(i) wrt i.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1014*u**5 + 818*u**5 + 0*u**2 - 37*u + 5*u**2 - 1412*u**5 wrt u.\nAnswer: -96480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 3.2 (b) 7126 (c) 0 (d) -5 (e) -3 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1755 (base 8) in base 14?\nAnswer: 51b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:22 PM and 7:41 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 0 - 3 + 0 - 3 + 2*u + u**4 - 2*u**3 in the form q + t*u**2 + o*u + w*u**4 + n*u**3 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 0*r + 2*r = 6, -5*r - 39 = -2*x. What is the remainder when 58 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 6\/(-36) - 147\/(-18). Solve -3*s = -5*i + 2*i - 9, s - w = -4*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -19*k**4 + 11*k**3 - 17*k**2 - k. Let h(r) = 9*r**4 - 6*r**3 + 9*r**2. Let l(g) = 13*h(g) + 6*x(g). Find w such that l(w) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3786*f + 32728.\nAnswer: -3786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -21 + 3 + -5 + 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add 0.3 and -180954808281930.\nAnswer: -180954808281929.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that -4*a**3 - 4904*a**2 - 253568*a - 487552 = 0.\nAnswer: -1172, -52, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d**2\/7 + 4*d - 144\/7 = 0. What is d?\nAnswer: -18, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 803.9099 hours in nanoseconds?\nAnswer: 2894075640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -2*q + 2. Let f(s) = s**2 + 3. Let y be f(0). Let h(v) = v**2 + 17*v + 43. Let r be h(-14). Suppose c + r = -y. What is k(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 237368754 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Are -10399091 and -10399091 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3515671?\nAnswer: 3515671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = -54 - -55. Let o(z) = 1. Let v(m) = -7*m**2 + 5. What is s*v(p) - 3*o(p)?\nAnswer: -7*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 2*b = b - 5, 4*o - 25 = -3*b. Suppose t = -3*t + s - 81, 3*t - 4*s = -77. Let p = t + 27. Calculate the highest common divisor of o and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, -99, 4\/5, -2\/7 in decreasing order.\nAnswer: 4\/5, -0.1, -2\/7, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -15*k + 11. Let u(v) = 7*v - 5. Let a(t) = 4*m(t) + 9*u(t). Calculate a(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5.18 + -0.18. Let x be (-5)\/((-25)\/(-2)) - 0. Put x, -1, w in descending order.\nAnswer: w, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**3 - 8*m**2 - 9*m + 5. Let y be v(9). Suppose y*h - 6 = 2*h. Solve h*s - s + 1 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 90058172 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: What is 9886818 times 0.4?\nAnswer: 3954727.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -v**2\/3 + 2*v = 0. What is v?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 18943033, 37886024, 56829015?\nAnswer: 75772006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -29 + 15. Let r be 1\/(-3)*(1 - v). Let g(l) = l**2 + 5*l + 6. Give g(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) be the third derivative of -h**4\/8 - h**3\/3 + h**2. Let x(k) = -3*k + 24. Let i be x(10). Let v be m(i). Solve 3*u + 4*a + 0 = 1, a + v = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3698094 to the power of 1\/2, to the nearest integer?\nAnswer: 1923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*j + 4*j = 12. Suppose -y + 27 = -4*f, -3*f = -5*y - 26 + 127. What is the remainder when y is divided by (0 - j\/(-6))*-14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*l**3 - 27*l**3 - 56*l**3.\nAnswer: -56*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 126 + -12. Suppose 0*x = -2*x + c. Suppose -3*w - 9 = -x. Calculate the remainder when 45 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 114\/22 - (-2 - 48\/(-22)). Suppose -2*w**5 + 15*w**3 - q*w**3 - 10*w**3 = 0. What is w?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1720402.99983 - -1720395. Let r = -8.06 - -0.06. Let n = t - r. What is n rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14822000 rounded to the nearest one hundred thousand?\nAnswer: 14800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*o - 18 = 16*o - 2*z, 0 = o + 3*z - 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 4393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -445 divided by -1.\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 928330790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 23 = 175. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -6*m**3 - 8*m**2 - 27*m + 12. Is 16 a factor of w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + (-3 + 1 - (-13 - -11))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 231 times 0.6\nAnswer: 138.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 200122002 - 112?\nAnswer: 200121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -65 in -2\/9, -0.8, 54\/7?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*v - 5*v - 39. Calculate the remainder when v is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) be the third derivative of -d**3\/6 + 20*d**2. Let h(o) = 14*o - 14. Let g(b) = h(b) - 3*p(b). Find the first derivative of g(c) wrt c.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, l: 1, n: 4, f: 5, a: 1}. Give prob of sequence ngf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the third derivative of -p**6\/135 - p**5\/90 + p**4\/12 - 2*p**3\/27 + 9*p**2. Determine m so that q(m) = 0.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -70, -319, -744, -1339, -2098, -3015, -4084?\n\"Answer: f**3 - 94*f**2 + 26*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -62 + 169 + 0 + 20.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rn when two letters picked without replacement from dnrnfrnnszrn?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x - 6*x = 4*g - 8, -12 = -3*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the third derivative of -2\/15*g**5 + 11*g**2 - 8\/105*g**7 + 1\/6*g**6 + 0 + 0*g + 1\/84*g**8 + 0*g**3 + 0*g**4. Factor c(o).\nAnswer: 4*o**2*(o - 2)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -79.9596 - -80. What is z rounded to three decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-2)\/(8\/(-74)) + (-4)\/(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 55\/4 of a microgram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 82 + -89. Let s = 12 + q. Solve -3*r + s = -2*n, 2*n = n + 5*r - 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 19918030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 3870 by 6.\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1633, 5681, 12427, 21871?\nAnswer: 34013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 + (55\/(-15))\/(-1))*(-53 - (27 + 76)).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**2 - 12*z - 5. Let r be v(-12). Let s = 101 - 709\/7. Let y = 7400 + -7398. What is the second smallest value in y, r, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -a**3 + 5*a**2 + 9*a - 13. Let k be v(6). What is the derivative of 6*l - k*l + 3 + 0*l wrt l?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 15 - 11. Suppose -w*n - 2*n + 24 = 0. Solve 3*u = g - 6 - n, -3*u + 4*g - 13 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 8\/(-28) + 61\/(-7). Let v = 13 + c. Suppose 3*k + y - 3 = 58, 0 = 2*k + v*y - 54. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4416 is divided by 69.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the second derivative of 1\/2*o**4 + 5*o**2 + o**3 + 0 - 1\/20*o**5 - 10*o. Let b be u(7). Solve 35 = -3*k - b*n - 2*n, -3*k - 27 = 3*n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10336 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -153b78 (base 14) in base 2?\nAnswer: -10110100110000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lsfo when four letters picked without replacement from looolsoosooofo?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*u**4 - 2*u**4 + 5*u**4 + (-5*u**3 + 2*u**3 - 6*u**3)*(4 - u - 4)*(-4 - 1 - 3).\nAnswer: -74*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (3*(-2)\/27)\/(45\/(1215\/(-18)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 347544 is divided by 808?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = 203 - 207. Suppose -8 = 3*g + 22. Let f be j + 2\/(g\/(-5)). Let d(l) = 2*l**2 - 4*l - 2. Calculate d(f).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9218 + 9217.999996036. What is v rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -127 and 129.\nAnswer: -16383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 57655775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 68970 divided by 110\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-224)\/28 + 51\/4)\/((-2)\/8).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*u + u + 8*u + 2593352 - 12*u.\nAnswer: -u + 2593352","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = 4*m - 167 + 772, -2*s - 3*m + 1243 = 0. List the prime factors of s.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 62 = 13*k - 12*k, 4*s - 4*k = -88. Let c be 6\/9 + (-13)\/(-3). What are the prime factors of (s*(c + -3))\/(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -938 > -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 969960 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = r**2 - 2*r + 5. Let j(i) = -7*i - 35. Let y be j(-5). Let s be o(y). Put s, 6, -3 in increasing order.\nAnswer: -3, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 570 - 18. List the prime factors of (g\/(-32))\/(3\/(-16)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.2 from -4249.\nAnswer: -4248.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.0478 and -4176830.3404.\nAnswer: -4176830.3882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0 - -4. Let l(b) = b**2 - 3*b - 2. Let w be l(k). Solve 0 = -2*t - 0*t + w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 337720057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -20 - 111?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00024114652553 to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 3 o when four letters picked without replacement from flfofooool?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = o**2 + 5*o + 3. Let g be s(-4). Is g at most as big as 1\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3 + -2. Let g = b + 5. Suppose v - 2*v + 51 = g. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 + 2. Let b be (2 - 0\/n)*2. Suppose 5*o - 11 = -1. Solve 0 = o*v + 2*v - b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) be the first derivative of -7395*x**4\/4 + 79*x**2 + 2*x - 6188. Find the second derivative of v(p) wrt p.\nAnswer: -44370*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 8*o**3 + o**2 - 2*o. Let p be m(2). Let k = p + -40. Let l(h) = -h**3 - h**2 + 5*h + 2. What is the smallest common multiple of l(-4) and k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 5*q - 25437 = -0*l, -3*q = -4*l + 50809. Let m = l + -228647\/18. Calculate the common denominator of m and 103\/12*(-5 + 6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21220 (base 4) in base 13?\nAnswer: -385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) be the third derivative of -k**6\/24 - k**5\/12 + 25*k**4\/12 + 78*k**2. What is the second derivative of x(i) wrt i?\nAnswer: -30*i - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 25*(-28)\/((-3220)\/(-23))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/303710 and 41\/4.\nAnswer: 607420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/62370 and 227\/83160?\nAnswer: 249480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -190*r - 2633 - 673 = -266 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 2*k + 126 = 0, -2*n + 4*k + 56 + 60 = 0. Calculate the remainder when n is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-30)\/(-25))\/(2\/5)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/(-18)*-8*57\/38.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1\/((-3)\/15*1). Let r(i) = i + 1. Let n be r(4). What are the prime factors of 7\/n - 3\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3\/37, -8\/203, 31?\nAnswer: -8\/203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y + y - 6. Let n = y - 4. Let b = 3 + n. Which is smaller: b or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 5*u + 25 = 0, t + 19 = -3*u - 2*u. Which is the nearest to t? (a) 2 (b) -2\/15 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -0.228 (b) 1 (c) 14 (d) -1\/218 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10701\/(-13079))\/(3\/11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -164\/45 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -8*r + 4*r. What is the common denominator of ((-6)\/11)\/((-3)\/2) and r - (1 - (-105)\/(-9))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**3 + 3*n**2 + 8*n - 4. Let j be v(4). Let g be 3 - (-8 - j\/(-3)). Let l be 0\/(-1)*(-8)\/16. Solve p + p + 2*s + 6 = l, -g = 5*p + s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -431, 1\/2, 0.2, 89, 4, 0.38?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10 - 7. Suppose j + 4*t = 3*j - 14, -2*t = -u*j + 17. What is the first derivative of -i + j*i + 1 - 7 wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/(2\/(-3)*4\/16). Solve -26 + m = -5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 487466 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 133 (b) -0.023 (c) 7.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from usscscccsrrcccc. Give prob of sequence cr.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -94 - 17. Let f = 115 + p. Suppose -5*h + 78 = 28. What is the highest common divisor of h and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.03269 - -2.866.\nAnswer: 2.89869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2435 + -1?\nAnswer: 2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 6807 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -820, -1673, -2576, -3553, -4628, -5825, -7168?\n\"Answer: -4*z**3 - z**2 - 822*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 24 = -w + 5*m, -5*m - 9 = 4*w. Let v(h) = -h**3 - 2*h**2 + h + 56. Calculate the remainder when v(0) is divided by ((-38)\/w)\/((-1)\/(-3)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*f + 84 = -14*f. Let d = 25 + f. Let k(j) = 10*j - 12. Let r(w) = -5*w + 6. Let a(y) = -3*k(y) - 5*r(y). Determine a(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 306 + 6*m + 296 + 297 + 292 - 1186.\nAnswer: 6*m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-3 - (5 + (-10 - -3))) + -9 - 5\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2956 + 2770.12. Let h = k - -186. Sort -1\/2, h, 2\/5 in increasing order.\nAnswer: -1\/2, h, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from rrwddrwsdsoddrrd.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 16 + 380?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 67*w**2 - 11*w + 2. Let z be l(-1). Let y be (196 + z)\/((-2)\/(-3)). What is the highest common divisor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -192 + 266. Let i = w + -67. Solve -h = -i*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1a (base 15) in base 4?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by 131.\nAnswer: -5\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7 + h - 15*h**2 + 6 - h.\nAnswer: -15*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*c + 313 = 388 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + -10 - (-10 + 4 + -2 - -13).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) be the first derivative of n**4 + 4*n**3 + 6*n**2 + 4*n - 19. Suppose z(r) = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 2\/15 (b) -5 (c) -0.3 (d) 2 (e) -201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + 2*((sqrt(4050) - (5 + -2 + sqrt(4050))) + (2 + sqrt(450))*-5))**2.\nAnswer: 8100*sqrt(2) + 45729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -31*-9.7197.\nAnswer: 301.3107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6056 - 11951.\nAnswer: -18007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*i - 2*i - 16. Factor 6*d + 2 + 0*d + 6*d**3 + 6*d**2 - i*d**3 + 0.\nAnswer: 2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 243 minutes after 9:23 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be 815\/15 + (-2)\/6. Suppose 0*j - o = -3*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -5*x + 40. Let l be c(8). Is l <= -28\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -p. Suppose 3 = -3*h + 6. Calculate k(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 82808*d - 82799*d = k + 11, 2*d + 13*k = -262 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - 30436.276895?\nAnswer: -30431.276895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*p - 4 + 1 + 3 to t + f*p and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-177)\/2*((-252)\/441)\/((-90)\/105)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -116, -160, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*n - 16*n - 5 = 0. Suppose 5*w - 3*g - 21 = g, -3*g - 15 = -3*w. Let r be 5 + 4\/(-2)*w. Solve -6 = -0*f - 4*f - n*s, -r*s = 3*f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 57 + -52. Let t(y) = 3*y**3 + 6*y**2 + 4*y - 5. Let x(w) = -4*w**3 - 9*w**2 - 6*w + 7. Let i(n) = q*x(n) + 7*t(n). What is the units digit of i(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1231111 (base 4) in base 2?\nAnswer: 1101101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -24411 - -3124629\/128. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:10 PM and 6:31 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 59.34269ug in nanograms?\nAnswer: 59342.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 1922 by 4.\nAnswer: 961\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 0.112 * -15739\nAnswer: -1762.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -18486 (base 13) to base 5\nAnswer: -3000143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in -3, 1, 4\/25, 0.4, 1\/37?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 170*b**5*j + 52*b**4*j**2 - 246*b**2*j**2 + 5 wrt b?\nAnswer: 10200*b**2*j + 1248*b*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ststzn. Give prob of sequence tts.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 3*m**2 + 4*m + 3. Let u be r(-2). Let c be (-4)\/7*u\/(-2). Suppose 5*w + 1066 = y, -2*y = c*w + 427 - 3. Round w to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (1 + 0\/(-1))*411?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 542.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5045084983?\nAnswer: 23, 617, 355513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 19240394*k - 34695835 wrt k?\nAnswer: 19240394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (m - m - 2*m)*((m - m + m)*(-2 + 1 + 2) + 2 + 1 - 2*m - 4) to the form t*m**2 + o*m + w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*i - 4 - 4. Let m(z) = -9*z + 1. Let o be m(i). Let n = o - 15. Solve 0 = p - n*p - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 1, r: 4, s: 2, e: 8}. What is prob of picking 2 e and 2 r?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 356 - 92. Let z = k - -47. List the prime factors of z.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:32 PM and 10:01 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -35.67975431 - -35.68. Round n to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -139*r + 15 = -136*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 17*f**2 + 159*f. Let q(n) = -3*n**2 + 6*n + 1. Determine -d(a) - 5*q(a).\nAnswer: -2*a**2 - 189*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 872*g**4 + 5*g + 8?\nAnswer: 10464*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -5*i. Let j(p) = -26*p + 315. Let d(n) = j(n) - 5*z(n). Let x(g) = -2*g**2. What is d(x(f))?\nAnswer: 2*f**2 + 315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 + 1 = 3*k, -j - 3*k - 13 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -7244685 by -4.\nAnswer: 7244685\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*((a\/((a\/a**(2\/9))\/a))\/a)\/a)\/a**(1\/3)*(a**(-1\/3))**36 assuming a is positive.\nAnswer: a**(-109\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1047524.2 and -3956?\nAnswer: 1043568.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -110.45 + -7\nAnswer: -117.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12868.\nAnswer: 2, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-76)\/(-2736)*60)\/((110\/348)\/11).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 493 divide 320260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) 4 (b) 0.4 (c) -1\/3 (d) 13 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**2 + 9*r. Suppose -27 = -5*c + u, c = -0*c + u + 3. Suppose 4*q - c = 22. Is y(q) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 819\/(-105) - (-9)\/5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -4 + (4 - -5) - 3. Which is greater: c or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1444*x**2 + 3 + 857*x**2 - 461*x**2 + x + 571*x**2.\nAnswer: 2411*x**2 + x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 146 and 38?\nAnswer: 2774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 54636879?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -129, -401, -815, -1365, -2045, -2849?\n\"Answer: z**3 - 77*z**2 - 48*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (27 - 16)\/((-2)\/2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 13\/15 (b) 4\/9 (c) -1\/6 (d) -0.7 (e) -52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q be 9*(-4 + 5) - -5. Suppose -2*t + q = 2*i, 5*i + 12 = 2*t + 47. Suppose 3*w - i = 8. Solve -w = -5*u - 4*y, 3 = 2*u - y + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(22)\/(4*sqrt(11)*2).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*w + 48*w - 548632 = 56*w. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -669, -1348, -2031, -2718, -3409, -4104, -4803?\n\"Answer: -2*u**2 - 673*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the first derivative of 9*r**2\/2 + 14*r - 891. Let n(b) = 5*b + 7. Determine 7*n(l) - 4*z(l).\nAnswer: -l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -654392, -654422, -654452, -654482, -654512?\n\"Answer: -30*t - 654362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(-2)*26\/(-195).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 217*v = 225*v - 48 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 355 minutes after 5:53 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 24759 - 12826. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(1\/13)*k**(-18\/11))\/((k\/k**(-2\/9))\/(k*k\/(k**11*k)*k)))**(-2\/47) assuming k is positive.\nAnswer: k**(30326\/60489)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 261 = -3*u - 3*m + 390, -2*u + 72 = -5*m. Suppose 3*w - 92 = w. Let p = w + u. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = 5*w - 12, 2*w - 12 = 4*d + 6. Let l be 3*(-1)\/(-3)*w. Let y be -1 + 6\/l - -4. Solve 30 = -5*m - 5*x, y*m + 0 + 6 = 3*x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d**2 - 12*d. Let i(p) = 4*p + 4. Let o be i(-4). Let v be h(o). Sort 5, -1, v in decreasing order.\nAnswer: 5, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 121 + -142?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.065 - 0.665. Round j to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*v + 19 = -107. Let u(j) = -j**2 - 8*j + 2. Calculate the remainder when 27\/(6\/(-9) - -1) is divided by u(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 12 - 4. Suppose c - d = -3*c. Suppose -12 = -3*a + g, -5*a + c*g = g - 20. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4.1 times -1.2541?\nAnswer: -5.14181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -49\/42165 and -149\/3450.\nAnswer: 9697950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = -713\/5 - -143. Which is the second smallest value? (a) u (b) -154 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 4, j: 15}. What is prob of sequence jjtj?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 71.21791 meters?\nAnswer: 71217910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 4*p - 1118 = -0*p, -2*w - 2*p + 736 = 0. What is the second derivative of w - 25*n**2 - 370 + 28*n wrt n?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12*b**2 + 7*b**2 - 4*b**2 + 5*b**3 + 2*b to the form k*b**3 + y*b**2 + o*b + v and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2226 divided by 770.\nAnswer: -159\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1463 and 812383?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1254 and 31746?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/(-6) - -1)\/((-3)\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*a - 9*a = -5019. Let s = a + 269. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:00 PM and 6:43 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + c + 8 = -17, 5*r - 4*c = 25. Calculate the greatest common factor of r and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 196 + -196.7. Let c = 0 + -1. Sort c, x, -2 in decreasing order.\nAnswer: x, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -18261*j + 127837. What is w(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-2*sqrt(450) - sqrt(450)) + sqrt(450))*4)\/(sqrt(10) + 4*sqrt(1440) + sqrt(10))*-5.\nAnswer: 12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xgqx when four letters picked without replacement from {z: 4, x: 6, q: 1, l: 2, g: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 12*a - 45*a + 8 - 4 + 21 + 48*a**2 + 8. Let f(i) be the third derivative of -i**5\/20 + i**4\/12 - i**3\/3 - 2*i**2. What is -33*f(g) - 2*w(g)?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -4301 * -8.\nAnswer: 34408","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: What is next in 16, 53, 104, 175, 272?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 218503283 - 12480*l**2 - 218503283 in the form m*l**2 + x*l + k and give m.\nAnswer: -12480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = -24507 - -24513. Let w = 3 - -1. Suppose 4*y - y + 9 = 5*q, -4*q + 4 = -w*y. Solve 4*a - y*a = -o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 116.804 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**3 + 8*l**2 + l - 3. Let q be z(8). Let v = -49 + 51. What is the greatest common factor of q and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 391434 = 520*d - 509*d + 86668. What is the ten thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 3048, 1726, 404, -918, -2240?\n\"Answer: -1322*o + 4370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 5*t - 26 = 0, 5*t = 3*l + t + 22. Suppose 6*j - 4*j = 40. Let m be 6\/(-24) + (-11)\/j. Are m and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*x + 0*x + 0*x)*(1 + 4 + x - 2).\nAnswer: -8*x**2 - 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is ((-285)\/(-30) - 10)*-499214 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1449814, 1449823, 1449836, 1449853, 1449874, 1449899, 1449928?\nAnswer: 1449961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 1 - 5)*(-88*p**2 + 166*p**2 + 118*p**2)*(-p**2 - 4 + 4) to f + g*p + r*p**4 + l*p**2 + c*p**3 and give r.\nAnswer: 1568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -22 + 6. Let v = 24 + m. Let d = v + -11. What is the third smallest value in d, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 68 (b) 5.88 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r + 4*r = 56. What is the remainder when 63 is divided by ((-51)\/(-6))\/(7\/r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -4821 (base 10) to base 16\nAnswer: -12d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -59.15 - 30103\nAnswer: -30162.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/75 and 104\/105.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 7*j**2 - 132*j + 495. Give x(14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 71214417 to the power of 1\/2, to the nearest integer?\nAnswer: 8439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 150423524?\nAnswer: 2, 241, 156041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(11*-27)*(-60)\/390*-39?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that 3*s**3 - 1575*s**2 - 3159*s - 1581 = 0.\nAnswer: -1, 527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 174 - 48. Suppose f = -5*m - 0*m + o, 0 = 2*m + 2*f - 52. Calculate the remainder when (-11)\/(-77) + (1 - (-2042)\/14) is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 86314957.\nAnswer: 86314957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -10\/9, 474, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 8*f**2 - 8*f - 9. Determine q(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58*k - 57*k = 241. Suppose -3*b = -k - 23. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -41136*i**3*j*q**3 + 6*i**3 + 16*i**2*j*q + 13*i**2*q**2 wrt q?\nAnswer: -246816*i**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 2*s + 3. Let v be l(3). Suppose -6*w = -v*w. Is -1 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -403.09 rounded to the nearest ten?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + -3 - (0 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-90)\/12)\/((-6)\/(-8)). Let p be 8\/30 + k\/(-25). Let u(i) = 4*i**2 + i - 1. Let q be u(1). Which is the third smallest value? (a) p (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o**2 + 28 - 28)*(7*o**2 - 3*o**2 + 9*o**2) + 5*o**4 + 8*o**4 + 2*o**4.\nAnswer: -11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 22018 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 3*x - 4*x - 3*x. Let z be (2 + 18)*(-1)\/(-2). Let y = 17 - z. What is the remainder when y is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 33614132 and 232?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {y: 11, v: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Sort 13, 4, 6, 2, -2, -212 in ascending order.\nAnswer: -212, -2, 2, 4, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -78*q**3*u**3 - q**2*u**3 - 5*q**2*u + 3*q*u**2 wrt q.\nAnswer: -468*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-105)\/(-6))\/(-7)*8\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -11*s**2 + 2*s. Let v(r) = -5412*r - 5393*r + 10800*r. Determine w(v(p)).\nAnswer: -275*p**2 - 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = -514 + 5618. Suppose -5*i - 8504 = 4*m, 2*m + d = -3*i - 2*m. Round i to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4415 take away -0.02598?\nAnswer: 0.46748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*((n**3\/n)\/n)\/n*n*n**1*n)**(-3\/20)*(n**5\/n**1)\/(n*(n\/n**0)\/n)**(1\/8) assuming n is positive.\nAnswer: n**(131\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -4*j**2 + 41*j - 50. What is g(-5)?\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of 126786 and -0.149.\nAnswer: -18891.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**3 - 4*p**2 - 7*p - 11. What is z(5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: b\"What is the fth term of 4, -3, -24, -65, -132, -231, -368, -549?\n\"Answer: -f**3 - f**2 + 3*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 223 (base 6) in base 2?\nAnswer: 1010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9727?\nAnswer: 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 74\/5 of a century?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 18820134*a**5 + 46*a**2 - 19*a - 1418 wrt a?\nAnswer: 1129208040*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - 163) + -8786 + 8862.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -590, -4114, -9860, -17828, -28018, -40430, -55064?\nAnswer: -71920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 42316840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-422)\/1899*(9\/(-8))\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**3 + 17*w**2 - 8*w - 9. Let k(u) = u**3 - 18*u**2 + 8*u + 10. Let r(d) = 3*k(d) + 4*s(d). Is r(13) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 5, o: 1, m: 3, e: 1}. Give prob of sequence eom.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ppgpppppgppppppgpppp. Give prob of sequence gggp.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-12 - -14) + 21056 + 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from niuuk. What is prob of picking 1 k and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-14)\/(-189)*12)\/((-6)\/6).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**(-2))\/(o**22*o))**17 assuming o is positive.\nAnswer: o**(-408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -19*b + 19. Calculate i(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -2077 divided by 67\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 1940820 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 4*n = -222, t - 570 = 6*t - 5*n. Let c = t - -17. Let r = c - -150. Is r a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) -7\/3 (c) -13304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 282, 1037, 2274, 3993, 6194, 8877, 12042?\nAnswer: 15689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/108321 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.13033 - -116.19033. Let j = 7.66 - t. Round j to zero dps.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -6\/2717155 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 36*b**3 + 19 - 15*b**3 + 14*b**2 - 19 wrt b.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 - -8. Suppose 3*j = h + 12. Suppose 3*x = -b - j, 0 = -5*x - 2*b - 10 - 0. Is x less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 5 - 4)*(0*o - 4*o + 2*o) - 2 + 2 - o - 2 + 2 + 3*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2774 + 6139. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 219273 - 217793.51. Let c = 1469 - t. Round c to 1 dp.\nAnswer: -10.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 + -2. Let l(w) = 3*w + 1. Let o be l(-1). Let r be (-8)\/o - (-8)\/(-4). Solve -j + y*j + r = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((g*(g*(g**(11\/3)*g*g)\/g*g*g)\/g)\/g**(-1\/7))\/(g**(-2\/9))**(4\/21))**31)**(-33\/2) assuming g is positive.\nAnswer: g**(-36146\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1\/10 (b) -1\/4 (c) 0.08 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -12*t**2 - 7*t + 3. Let h(q) = -2*q**2 - q. Give -5*h(b) + i(b).\nAnswer: -2*b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 12220200011 (base 3) to base 14\nAnswer: 305c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 3, q: 1, k: 4, d: 1, p: 2}. Give prob of picking 1 p and 1 k.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 33, 132, 2, 5, 4.\nAnswer: 2, 4, 5, 33, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n. Let x = -1 - -3. Suppose 0 = 12*p - 16*p + 8. Let r(c) = 4*c**x + 3*c**2 - c**2 - p*c**2. Determine r(k(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35467?\nAnswer: 29, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*g = -7*g - 701151. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.9414718 milliseconds in seconds?\nAnswer: 0.0009414718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 101 minutes before 5:14 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1391\/384 - -673\/384. Solve y*k - 9\/8*k**2 + 5\/4 = 0 for k.\nAnswer: -2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 36, -2, 1, 7 in descending order.\nAnswer: 36, 7, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -24 + 2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 38 - 32. Let i be k\/10 - -6*2\/5. Suppose -2*f + 216 = i*h, 79 = 3*h + 5*f - 137. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the first derivative of -283*u**4\/4 + 37*u**2 + 255. What is the second derivative of r(d) wrt d?\nAnswer: -1698*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13274 divided by -15473?\nAnswer: 13274\/15473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 4260929401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-27)\/(-15))\/(-4 - 172\/(-40)). Solve -5*d = -v - 3*v - y, -3*d - 6 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 819600, 819589, 819578?\nAnswer: 819567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Let x be (0\/(-3))\/(-1 + -1). Suppose 0*b - 2*b + 22 = x. Suppose b = j - 4*c - 20, 4*j - 5*c = 135. Calculate the remainder when j is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6.8, 2\/3, -3\/7, 44, -0.5 in increasing order.\nAnswer: -0.5, -3\/7, 2\/3, 6.8, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/(-108)*-34 + 6\/9. Which is bigger: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -162 = -791*w + 872*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 551 - 526.1. Let v = p + -11. Let m = 14 - v. Which is the second smallest value? (a) 2\/7 (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -2*s + 81*s**2 - 79*s**2 + 2*s. Let i(l) = -5*l. Calculate g(i(t)).\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j*j**(-9\/2)*j)\/j**8 assuming j is positive.\nAnswer: j**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*i - 166 + 84 = -76 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 31\/248 + 1014\/208.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 5334 > -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 489, -102, -2 in decreasing order.\nAnswer: 489, -2, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 110*d - 115*d = -40. Calculate the smallest common multiple of d and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 356 at least as big as 130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = 41 - 38. Suppose -3*j - 3 = -4*g + 6, -b*g + 10 = j. Let v(d) = -d**2 + 3*d - 3. Calculate v(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -5*l**3 - 4935*l**2 - 1623615*l - 178056445 = 0.\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 9495.106nm?\nAnswer: 0.009495106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -292 + 670. Suppose -2*p + s = 4*y, 3*y + y = 4*p - 768. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2025 - -2026. Let p = -1.6 - -2. Which is the nearest to h? (a) 1 (b) 1\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(-1*sqrt(80)*3 + 4) + 3 + ((sqrt(80) + -1)*3 + -1*sqrt(80)*-3)**2.\nAnswer: -192*sqrt(5) + 2908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6 - 9. Put z, 2, -4 in increasing order.\nAnswer: -4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -99\/657500 and 127\/57334000.\nAnswer: 286670000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 12460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6.45 - -2.83. Let j = 9.3 - p. What is the nearest to j in -3, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 111497 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 3*n - 6*n + 7, -3 = -l + n. What is the remainder when 129 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*l - 2*r + 46, -4*l - 92 = -144*r + 150*r for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 66218 and 796374.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 7145000 to the nearest 10000.\nAnswer: 7150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = 2*m. Suppose -4*s = 3*d - 94, -5*s + m*s - 5*d = -120. Suppose -s = -t + 26. Calculate the greatest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 0 (b) -60 (c) 1\/3 (d) 110\/7 (e) 4 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 85404413 * 0.3\nAnswer: 25621323.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in n - n + 5*n - 4*n - 11*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-39)\/(-52) - (1 + 4\/(-16)). Suppose 3*j + 4*c + 115 = d, -9*j = -5*j - 4*c + 144. Sort j, -3, 5.\nAnswer: j, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21109 is divided by 502.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i + 0*i + 3*i)*(-33*i**2 + 9*i**2 - 72*i**2 - 13*i**2).\nAnswer: -109*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**2 - 8*w - 7. Let a be s(-6). Suppose -a*g - 4 = 1. Let j = 2 - g. Solve -j*p - 12 + 0 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1967642589?\nAnswer: 3, 11, 571, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in -2.3, -5, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rzdrrdxdxxd. Give prob of sequence ddzd.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16)\/8*13\/299?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -5*d**2 - 334*d + 19. Calculate f(-67).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.4 + 0.04. Let t = 0.04 - x. Let p(o) = -o**2 - 16*o - 11. Let n be p(-15). What is the second biggest value in -2\/13, t, n?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9 - 18. Let f be 2*c\/6 + 1. Let o(a) = 5*a**2 + 1 + a**3 + 0*a**2 - 3*a**2 + a. Give o(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 5*o**3 + o**2 - 1. Let f be l(1). Suppose 2*r + 60 = 7*r - 5*c, 4*c - 78 = -f*r. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4540004202.\nAnswer: 2, 3, 257, 2944231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 45 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 5182 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1*104\/(-20)*(-2 + -23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(5) + (sqrt(320)*-2 + sqrt(320))**2 + sqrt(180) + 3)*4 + -2).\nAnswer: 112*sqrt(5) + 5160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -8\/21 (b) -1 (c) 13 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 592*v + 1124 - 2139 = 1945 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2165084*s**2 + 2165072*s**2 + 24 - 31 + 7.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = 100 + -55. Let n = m - 24. Solve -4*v = -n + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 68 + -40. Let t(x) = -5*x + 25. Let f be t(6). Let m(j) = -j**3 - 2*j**2 + 10*j + 4. Let z be m(f). Is z > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**2 + 19*q - 46. Let p be i(15). Suppose l = -p*l + 1635. List the prime factors of l.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the third derivative of n**5\/150 - n**4\/20 + 2*n**3\/15 + 25*n**2. Factor k(v).\nAnswer: 2*(v - 2)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 13477 + -3625297\/269. Does w = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 15267007*k*l**3 - 2*k*l**2 - 16*k*l + 165*l + 81 wrt l.\nAnswer: 91602042*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 15962 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**(-1\/3)*a**(2\/9))**(-4\/29)\/((a**(2\/7)*a*a\/((a*a\/(a*a**(-4\/9))*a*a)\/a))\/a**(3\/4)) assuming a is positive.\nAnswer: a**(1915\/2436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 53*j - 4*j - 26*j + 16. Suppose 12 = y + 1. What is the remainder when h(4) is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 1\/3484912 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6715 - 4761. What is the smallest common multiple of 6 and k?\nAnswer: 5862","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -159118, -318145, -477172, -636199, -795226, -954253?\n\"Answer: -159027*f - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -13367, -54371, -123013, -219293, -343211, -494767?\nAnswer: -673961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -52 (base 11) in base 13?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -13690000 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.09 and 3611.\nAnswer: -324.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 + 3 + 3)*(3 + 4*b - 3) - 6*b + 7*b + 2*b)*(3 - 4 + 3 + 1 + 2 + 0 + (-3 + 2 + 2)*(4 - 3 - 2) + 3 + 1 - 6 - 3 + 6 - 1).\nAnswer: 76*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the first derivative of f**2 + 4. Suppose 5 = 5*u - 10. Suppose -z + 2*j = -1, u*j = 3*z + j - 11. Determine r(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1013 - -1019. Solve z = -2*s + 8*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9366 - 6071. What are the prime factors of q?\nAnswer: 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: -174 divided by -62058\nAnswer: 29\/10343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -5, 833 in descending order.\nAnswer: 833, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ayamo. What is prob of sequence aya?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -3*i**3 + 3*i**2 + 29*i + 107. Does 8 divide a(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 0 - 4*d - 1 + 13*d - 3*d. Calculate c(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 84827671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(4\/23)*t**(-12)\/t*t assuming t is positive.\nAnswer: t**(-272\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of -252.1 and -708.\nAnswer: 178486.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 60 = 7*h. Suppose -4*n = 5*p + 6 - 2, 36 = 5*n - 4*p. Suppose -4*v + h - n = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2) - 1*sqrt(2)) + -1 - sqrt(8)*6.\nAnswer: -12*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3 + -1 + 0 - 31. Let w = 108 - z. Is w a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 45*l*x**3 - 24*l*x**2 + 5*l + 226 wrt x.\nAnswer: 135*l*x**2 - 48*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 11098737 and 8632351?\nAnswer: 77691159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.46 - 0.04. Which is the second smallest value? (a) 2 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 5*z + 2889 = -0*z, -z + 3604 = 5*o. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 53\/17057440 and 43\/426436?\nAnswer: 17057440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from njjdajn. What is prob of sequence ja?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 91.53 + -91. Let z = -0.7 + c. Let i = 0.1699965 + z. Round i to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 12\/20 - (-834)\/(-15). Let i = 87 + c. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 224063631 (base 7) to base 6.\nAnswer: 1204502443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -194452*g*v**4 + 3*g*v**2*w**2 + 546422*g*v*w**3 + g*v*w**2 - 65*v**3*w**3 + v*w**3 - v*w**2 wrt v?\nAnswer: -4666848*g*v - 390*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by 20?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 9 + 7*d**2 + 0*d**3 + 0*d**3 + d**3 + 8*d. Let z(f) = 2*f**2 + 33*f + 103. Let i be z(-19). Suppose -30*x = -63*x - i. Give g(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -21812, -21469, -21090, -20657, -20152, -19557, -18854, -18025?\n\"Answer: 3*t**3 + 322*t - 22137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 33\/19981187 and 95\/4.\nAnswer: 79924748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -19, -5, 8, -23 in increasing order.\nAnswer: -23, -19, -5, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 17*y**2. Let t(v) be the second derivative of v**2\/2 + 12*v. Let a(n) = 2*n - 8. Let m(g) = a(g) + 8*t(g). Give j(m(f)).\nAnswer: 68*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 0.33, -1, -614?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.3, 0.4, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l - 5*b + 1 + 6 = 0, 0 = -3*b + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1 (b) 2 (c) 8.9109 (d) -4 (e) 3\/4 (f) 4\/3 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/1 + 120\/(-54). What is the nearest to 2\/3 in u, 3, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -521137 (base 8) to base 11.\nAnswer: -108785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-14)\/8)\/((-20)\/240*(-15)\/1).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*q - 3*q - 3*q)*(-6*q**2 + q**2 + 4*q**2)*(-601489 - 179*q**2 - 2*q + 601489) + 0 + 0 - q**5.\nAnswer: 178*q**5 + 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -2*a**2 + 73*a - 49. Calculate s(29).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 5, c: 7}. Give prob of picking 2 k and 1 c.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 492 and 4592.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 5*d - 18 = -0*k, 36 = 2*k - d. Let v(u) = 1 + 2*u - 2 - 1. Let i be v(7). What is the greatest common divisor of i and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (99\/15 + -7)*(-10)\/2. Let p(m) = -9*m + 24 - 11 - 10 + 3*m**2 - r*m**2. What is p(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -378, -759, -1140, -1521, -1902, -2283?\nAnswer: -2664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {z: 3, f: 11, u: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4608*f**4 - f**2 + 7248.\nAnswer: -18432*f**3 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 1170c99 (base 13) to base 5\nAnswer: 2340301213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13053480 divided by 145.\nAnswer: -90024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t be 5\/(-3) - 1\/3. Let s be (-2)\/10 + t\/(-10). What is the third biggest value in -2\/9, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -30, -249, -840, -1989, -3882, -6705, -10644, -15885?\n\"Answer: -31*k**3 - 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9583666?\nAnswer: 2, 37, 129509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 0.2 (b) 408 (c) -20.7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = -2*a. Suppose 2*l + 2*l - 48 = -n, a = l - 2*n - 21. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2112771 (base 9) in base 13?\nAnswer: -3077aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-1)\/s)\/s**(-1\/5))\/((((s\/((s*s\/s**2)\/s))\/s)\/s)\/s*s*s**1) assuming s is positive.\nAnswer: s**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 29.41 in 3\/5, -0.1, 2, -3\/4, -63?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -12026, -11851, -11390, -10499, -9034, -6851?\n\"Answer: 24*g**3 - g**2 + 10*g - 12059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1076 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-9 - 28\/(-3))*21. What is the nearest to -2 in 5, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (0 + -206)\/2 + (144 - 139). Which is smaller: h or -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:17 PM and 7:46 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/11? (a) -4 (b) -93.6 (c) -3 (d) -5 (e) 34 (f) 1\/42\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -11936.9225 - -14878.60806. Let u = 2922.68555828 - j. Let t = 19 + u. Round t to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the third derivative of -x**5\/60 + x**4\/4 - x**3\/6 + 72*x**2 - 3. Let n(w) = -w**2 + 8*w + 5. Let v be n(8). Calculate r(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 289*x - 308*x = 855. What is the nearest to x in 0.5, -4, 2, 0.05?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 - 2. Let y = 143 - 425\/3. What is the nearest to 0.1 in o, y, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1*2 + 161\/(-138). Which is the closest to -0.1? (a) 2 (b) q (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = 2*f + 3*n, f + 4*n = 3*f. Let j = -7 + 8. Let g = j - 0. Solve f + g = -3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let o = -95 - -102. Calculate the greatest common factor of o and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 24 - 38. Let k = -4 - o. Calculate the greatest common factor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28899 is divided by 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 67973 and 4294413.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 463*b**5*u + 8*b*u - b + 8 wrt b?\nAnswer: 9260*b**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -2*y**2. Let x(b) = -93*b - 6. Determine i(x(o)).\nAnswer: -17298*o**2 - 2232*o - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 28331436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -193*o = -1270*o + 60312 for o.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -i**2 + 38*i + 3. Let u(h) = 23*h + 1. Let w(y) = -3*j(y) + 5*u(y). Determine w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-22)\/(-143) + 1164\/39. List the prime factors of 10\/i + (2942\/3)\/1.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -92.5 - -92.6. Let g = 17 + -13. Let c be (-33)\/(-42) - (-4)\/(-14). What is the closest to b in g, c, -1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k*k**(-10)*k)\/(k*k**(-20)*k))\/(k*k\/k**(-17)*k**1))**(11\/4) assuming k is positive.\nAnswer: k**(-99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -340464, -680926, -1021388, -1361850, -1702312?\n\"Answer: -340462*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 25146.954 microseconds?\nAnswer: 0.0004191159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:20 AM and 7:48 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**2 + 12*t + 4. Let h be g(12). Suppose -h*n + 23 = -33. What is the remainder when 26 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2574923 and 642523.\nAnswer: 4831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 55 (b) 2\/19 (c) -0.5 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 2*u = 48. Find the third derivative of -u*z**4 + 79*z**2 - 7657*z**3 + 7656*z**3 - 10*z**4 wrt z.\nAnswer: -432*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g**3 - 16*g**2 - 31*g - 60. Let t be v(-14). What is the smallest value in 4, -3, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = 4*o - 1357042, -18*o + 16*o + 2714120 = 4*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 583*v**3 - 1157*v**3 + 15*v**2 + 554*v**3 - 15*v**2.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -2*g**3 - 2*g**2 + 3*g + 3. Let j be s(-2). Suppose -a = a + 10, -2*a = 5*o - j. Let m = o + -1. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7.646 - -7.8. Let r = n - 0.008. What is r rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*f + 4*u = -25*f + 2, 2*f = -5*u + 19. Solve -f*c + 9 = 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in 65, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 74 divide 11026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8*(-15)\/1800)\/(4\/(-50))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3.01 + 7.01. Which is the closest to -0.1? (a) q (b) -0.1 (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-5 - (-110)\/30)*-1*(-18)\/(-3). What is the highest common divisor of i and 5656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1030*o - 718 = -230*o + 1682 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 24160500703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the third derivative of m**6\/360 - 115*m**3\/3 + 4*m**2 - 7*m. Let b(w) be the first derivative of i(w). Let r(c) = 5*c**2. What is r(b(d))?\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*g**3 - 2954*g**2 + 52140*g + 36072.\nAnswer: -(g - 18)*(g + 1002)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 44220 is divided by 305.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j be (0 - -3)\/9*15. Suppose i - 2 - 3 = 0. Is j at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 209*b = -393*b - y + 7825, b - 214*y - 219*y + 434*y = 12 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the first derivative of 819*x**5\/5 + 89*x**3\/3 + 1083. Find the third derivative of u(t) wrt t.\nAnswer: 19656*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1\/201175 - 8851703\/603525. Let c = -95436\/7 + 477923\/35. Let z = -129\/7 + c. Find the common denominator of v and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22 - 19 - 16 + 57 - 9282*k**2.\nAnswer: -9282*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11.4 + 10.4. Round t to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -18*p**3 - 2*p**2 - 12*p - 24. Let c be g(-3). List the prime factors of (-10)\/(-3)*c\/(-25)*-3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 2*w + w - 5 + 3*w**2 + 4. Is u(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 0.3, 0.2, -0.9, 24, 4 in descending order.\nAnswer: 24, 4, 0.3, 0.2, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1134649 to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 - -1. Let v = 2.8 - -9.2. Let h = v - 13. Which is the closest to g? (a) 5 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 - -487c468?\nAnswer: 487c46a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*v + 317 = -3573. Let r = 21394\/55 + v. What is the common denominator of 58\/75 and r?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*d**2 + 5*d**2 - 3*d**5)*(-1 + 4 - 2)*(-13 - 10 - 14).\nAnswer: 111*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = -773618747496 - -773618751592.00001817. Let d = 4096 - p. Round d to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 157.923 - 158. Let x = -18.377 - p. Let u = -16 - x. What is u rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 714 minutes after 7:06 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/(-66) - (1521\/(-165) - (-10)\/25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 2*h - 27 = 0. Let n = 114 + -111. Let t(f) = 2*f**3 - 3*f**2 + 3*f. Let o be t(n). Calculate the highest common factor of h and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(-2)*w*w*w**(1\/6)\/w)**(1\/4) assuming w is positive.\nAnswer: w**(25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7676899 - 2*w - 7676899.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 204248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the second derivative of 43*f**4\/6 + 185*f**3\/6 - 129*f. Find the second derivative of r(s) wrt s.\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(72) - (1 + sqrt(72)) - (-3 + sqrt(6)\/sqrt(3) - sqrt(2)) - (sqrt(2) + (sqrt(2) - sqrt(6)\/sqrt(108)) + sqrt(2) + 2)*1)*1.\nAnswer: -17*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s**3 + 5367*s**2 - 1110630*s - 1116000 = 0. What is s?\nAnswer: -1, 240, 1550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 90 (b) 27 (c) -4\/5 (d) -0.4 (e) -1\/2 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 486135.9m in millimeters?\nAnswer: 486135900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*n**2 - 731 + 731.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 + 3. Let z(k) = 129*k + 21. Let s be z(0). Solve -3 = -t - w, -y*t - s = -t - 5*w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2527415 and 3520?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from yyyyyyyyddy?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 13 + 82 = l, 197 = 3*l - 4*q. What are the prime factors of l?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, i: 1, o: 5, j: 1, h: 1}. What is prob of sequence jf?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -309, -617, -923, -1227, -1529?\nAnswer: -1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p**3 + 12*p**2 + 2*p + 24. Let u be k(-12). Suppose 2*v = -5*r - u*v + 8, 3*r - v = -4. Solve -2*i + r - 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 7*y**3 - 4*y**2 + 2*y - 52. Is d(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 4*k + 10 = -2, -5*d = -4*k - 20. Let r be (-76)\/(-16) + 1\/d. Suppose 3*o - 4 = r. What is the smallest common multiple of o and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 143144.0126 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.503 + -0.903. Put -0.5, b, 0.4, 2, -16 in increasing order.\nAnswer: -16, -0.5, b, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 1.4, -2.65, 15, 3\/2 in ascending order.\nAnswer: -5, -2.65, 1.4, 3\/2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -c + 2*c**2 - 3*c**2 + 7*c - c wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -3, 4504, -2, -0.4 in ascending order.\nAnswer: -3, -2, -0.4, 0.1, 4504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 105 = -12*o + 17*o. Calculate the greatest common factor of o and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*q + 7*q = 235025 + 174653. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 4 = -48. Let t be (-1)\/(((-36)\/21)\/4) - (-8)\/3. Solve -t*q = 3*b + v, -4*b - 5 = -q - 26 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -72\/5525 and 7\/650?\nAnswer: 11050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19411852 is divided by 258824?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is three sixteenths of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000942154 rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 205 a factor of 406768846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -16\/7 (c) 0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*v + 1071 = 32*v. Differentiate 54*c**2 - 21*c**2 + v - 91*c**2 wrt c.\nAnswer: -116*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1884*d**5 - 69*d - 7.\nAnswer: 37680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 r, and 2 v when four letters picked without replacement from {r: 1, s: 1, v: 1, g: 1, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = -8*a + 2676. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3492, -6835, -10178?\nAnswer: -13521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 112754.\nAnswer: 2, 56377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.6, 0.1, -4\/7, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -61460 to the nearest 1000.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by -34238903.\nAnswer: -4\/34238903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 215 is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -528195 != -528195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 3 times 517980\nAnswer: 1553940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(5)*-3*-1.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 6203956, 6204123, 6204290?\n\"Answer: 167*t + 6203789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -4*c + 38. Let x be q(9). Let o(m) = 267 + x*m - 267. Let p(w) be the second derivative of -3*w**4\/4 + 2*w. Calculate p(o(y)).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.5 and 4545637?\nAnswer: -2272818.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 4.75321638 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 2320797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -25 = 5*d - 4*o, 4*o - 7*o + 17 = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1*(-18 + 0)*14\/(-28). Let j = -8 + z. Which is the closest to 3? (a) -5 (b) 0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11010100101111 + -1101111010?\nAnswer: 11000110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 29 = 13. Let a(s) = s + 10. Let t be a(o). Solve 0 = -4*v - 2*h - t, -4*v + v + 5*h = -8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 357, 725, 1087, 1437, 1769?\n\"Answer: -z**3 + 3*z**2 + 366*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 9*m - 31 + 10 + 10 + 0. Let q = -22 - -11. Let f(k) = 5*k - 6. Calculate q*f(w) + 6*y(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o - 14 = 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + h - 1872 = -2*h, 2*h - 6 = 0. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 4466 = 3*r, -2980 = 3*r - r - 4*s. Let w = r + 5989\/4. Let o = -8 + 17. Find the common denominator of w and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 165282 (base 12) to base 6\nAnswer: 12105442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w and 2 h when four letters picked without replacement from {w: 2, h: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of s**2*w**2 - 3*s**2*w - 1778*s**2 + 15473*s*w**2 + s*w - 10*s + 6336*w**2 + 3*w + 31 wrt w.\nAnswer: 2*s**2 + 30946*s + 12672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -83 by -17.\nAnswer: 83\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 98801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*s**4 + 216*s**3 + 3186*s**2 - 25272*s + 41067.\nAnswer: 3*(s - 3)**2*(s + 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -137*i**2. Let u(g) = -175*g**2. Calculate m(u(q)).\nAnswer: -4195625*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*x = -36 + 72 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-1)\/(-2))\/(10\/(-15)). Let h = -0.005 - 4.395. Let t = h - -4. What is the third smallest value in 3\/5, 0.3, t, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4)\/8*(-1)\/(1\/(-98)). What is the units digit of 971\/7 + (-14)\/j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) be the third derivative of -7*j**4\/12 - 5*j**3\/2 - 14*j**2. Is n(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, a: 2, g: 1, s: 4, v: 2}. Give prob of picking 2 s, 1 z, and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 81570 and 10410?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 148 = -3*p. Suppose -33*x = -40*x + 105. What is the remainder when (-5)\/(5\/p)*-1 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -5 and -66.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/6720 and -45\/51392.\nAnswer: 5396160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 277 minutes before 2:36 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 92\/297295?\nAnswer: 92\/297295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1*93653\/(-406)*3. Let n = -692 + x. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {u: 1, k: 4, e: 2, o: 9}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -q**3 + q**3 - q**4 + (5*q**2 - 3 - 3*q**2 + 0)*(q**2 + 6 - 6).\nAnswer: q**4 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 8*s**3 - 8*s**3 - 13*s**5 + s**5 + 0*s**4 + 0*s**4 + (6*s - 2*s - 3*s)*(0*s**4 + 4*s**4 - 2*s**4) + s**5 + 3*s**5 - 2*s**5 - 4*s**5 + 0*s**5 + 2*s**5.\nAnswer: -10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6039719.\nAnswer: 7, 367, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**3 + 6*l**2 - l. What are the prime factors of x(-5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6*3\/(-45) - (-4794)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes after 6:52 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u + 2*m - 12, -m = -u - u + 1. Suppose -a - u*d + 6 = 0, -5*a + 35 = -d + 6*d. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.61? (a) -142 (b) 10\/7 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.06 (b) -0.1 (c) 0 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 372167.\nAnswer: 372167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be 14\/308*11*(7 - -1). Let p(f) = -16*f - 144. Let i be p(-9). Solve i*h - y*h = -8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from phphp. What is prob of sequence hhp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l + 4. Let s(j) = 5*j. Let i(r) = 4*f(r) - s(r). Let g be i(6). Solve 0 = 9*c + g + 26 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20\/(-3)*(-9)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 2 = -5*i. Let y(p) = p - 7. Let g(l) = -6. Let n(s) = -5*g(s) + 4*y(s). What is n(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*o + 12*o + 389554 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 1958116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let f be ((-6)\/14)\/((-8)\/(-28)). Suppose -7 = 3*s - 19. Let k be (s\/(-10))\/(7\/5). Which is the nearest to 0? (a) 4\/7 (b) f (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/3*54\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the third derivative of 29*r**5\/15 - 7*r**4\/24 + r**3\/2 - 84*r**2. Does 3 divide j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:33 PM and 11:07 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3\/12 + -1)\/((-3)\/8). Let t be (1 - 2) + (s - (-2)\/2). Solve -31 = 4*l - 5*h, -3 = -t*l - 5*h + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 47751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(121)*-2*6)\/(sqrt(396)*4).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -0.21, -0.06, 0.1, -0.1 in increasing order.\nAnswer: -0.21, -0.1, -0.06, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/2*(-8)\/6. Suppose n + a*n - 15 = 0. Let y = 1214.1 - 1214. Sort n, -4, y.\nAnswer: -4, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that -4*g**2 + 2487796*g - 52241952 = 0.\nAnswer: 21, 621928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*x**5 - 3*x**5 - 3*x**5 + (-1 + 0 + 0)*(-3 + 2*x**5 + 3) + x**4 - x**5 + 2*x**4 - 6*x**4.\nAnswer: -5*x**5 - 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*n - 32 = 10*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put together 22536 and 9.\nAnswer: 22545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and 878\/2604343 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 35\/15*4\/(-14)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 63\/50 and -39\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -4*l - 6. Let x be -3*l\/18*96. Suppose 5*v - x = 31. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1276752 (base 10) in base 13?\nAnswer: 359199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -f - a + 2 = 0, 151 - 164 = -2*f - 5*a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 51*i**2*q - 4354*i**2*s - 8238*i*q**2 + 26*i*s**2 - 5*q**2*s wrt s.\nAnswer: -4354*i**2 + 52*i*s - 5*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 4 + 12 = -3*v, 2*a - 5*v - 15 = 0. Let o(k) = -k**2 + 7*k - 7. Give o(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2 - 267?\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -411*d - 1. Let i(w) = -w + 1. Give f(t) + 4*i(t).\nAnswer: -415*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-144)\/(-20) - 1\/5. Let i = 13 - r. Let h = i + -4. Solve 12 - 2 = -h*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**3 - 1922*h**2 + 37204*h - 35280.\nAnswer: -2*(h - 18)*(h - 1)*(h + 980)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -a**3 - 6*a**2 - a - 18. Let t(u) = 2*u**3 + 6*u**2 + 19. Let m(l) = 3*f(l) + 4*t(l). Let h(r) be the first derivative of m(r). Factor h(c).\nAnswer: 3*(c + 1)*(5*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = b - 2*t + 2, t + 2 = 5*b - 15. Suppose x + b*d - 20 = -x, 0 = -3*x + 5*d - 3. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -25*n - 2. Determine m(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*n**2 + 88*n**4 - 96*n**4 - 4*n + 5*n**2 + 4*n**5.\nAnswer: 4*n*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 374960*c**2 - 305135*c + 390.\nAnswer: 5*(16*c - 13)*(4687*c - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 272 - 181. What are the prime factors of l?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*r - 5*r + 3*r)*(-2 + 2 - 2*r) + 5*r**2 - 3*r**2 + 0*r**2 - 6*r**2 + 7*r**2 + 6*r**2.\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be 30\/(-165) - 1916\/(-11). Let t = r + -105. Let y = t + -43. What is the remainder when y is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4298\/143, -26, 1\/2?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u**2 - u - 8. Let q(x) = -x**3 + 11*x**2 - 9*x - 10. Suppose 2 = 4*d - 6, -20 = -3*m + 5*d. Let z be q(m). What is l(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the second derivative of d**5\/50 - d**4\/30 + 12*d. Factor z(u).\nAnswer: 2*u**2*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (3 - 3)\/(-1 + 0). Suppose 3*r + 3*r + 12 = l. Is -6 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1146468675 to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1155227411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Are 39\/314228 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 4 (b) -5\/6 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1 + (-42)\/(-11) + 18\/495*5. Solve 24*n - 23*n + u = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -1.62 (c) -0.19 (d) -2\/209\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be 12\/7*70\/20. Let w(k) = 4*k + 3. Let h be w(v). Solve 0 = 5*m - 2 + h, a = 5*m + 23 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 694101.\nAnswer: 3, 231367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -207, 18, -1\/4, -0.1, 2\/3, 3 in descending order.\nAnswer: 18, 3, 2\/3, -0.1, -1\/4, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -14*j - 17. Let t = -21 - -13. Is v(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3.04 - 1.1. Let m = -0.06 - a. Put m, 5, -3\/4 in descending order.\nAnswer: 5, -3\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3825 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:52 AM and 3:02 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 84473 and 70244?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y be 19\/(-3) - 4\/(-12). Let j = -3 - y. Find the second derivative of 3*n - 5*n + 2*n**4 + j*n wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (5\/5)\/(-7)*(-35)\/(-240)*4?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = 4*c - 10, -7 = 3*w + 5*c - 23. Suppose 5*p - p - 3*f + 21 = 0, -4*f = p + 10. Let h be (-1)\/(w\/p) - 3. Solve 2 = r - h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 319 + -320. Let p be l - ((-10)\/(-45) - 29\/9). Solve -o + 4*o = -i - 6, -p*o - 4 = 4*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6332, 12662, 18992, 25322, 31652?\nAnswer: 37982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 0.03, -1, -2, -2.6, 1 in ascending order.\nAnswer: -2.6, -2, -1, 0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -4 + -25766844.7\nAnswer: -25766848.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 81 + -78. Let j(x) be the third derivative of -x**5\/60 - 5*x**4\/12 - 5*x**3\/6 + 3*x**2. Let m be j(-9). Solve b*a + a = m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -23 + 14. Let w = o - -5. Let c = 0.015 + -0.215. Is w < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.7 (b) -2\/15 (c) -0.04 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -14159 + 17343 = -473*i - 47427 for i.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 22329 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 77 minutes after 1:40 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-57 - 20*b**4 + 57 + (0 - b**3 + 0)*(-2*b + 0*b + 0*b))*(26 + 33 - 12).\nAnswer: -846*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 1769 + 571 = 0. What is l rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -7\/2560 and 41\/5936?\nAnswer: 949760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -9368 times -239.71\nAnswer: 2245603.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v\/(v\/v**10))\/(v\/v**(-6\/13))*v*v**(-4)*v\/(v\/(v*v**(-11))) assuming v is positive.\nAnswer: v**(-45\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 181\/4? (a) -3\/2 (b) -4\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 135 + 75 = 0. Let i = j - 14. Suppose -2*t + 38 = -0*d + d, d + 4*t - 34 = 0. What is the greatest common factor of d and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(175) + -1 - sqrt(175)) - (sqrt(175) - (0 + sqrt(175))*1))**2 + -2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-124)\/(-434)*(-5537)\/(-2). What is the greatest common divisor of 113 and i?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a**3 - 278*a**2 - 5952*a - 2380. Calculate i(298).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6025 and 9684585?\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 61895280 to the power of 1\/2, to the nearest integer?\nAnswer: 7867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*i + 7*i - 3*i + 112 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 2\/3 (b) -5 (c) 3769 (d) 6 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 431129.\nAnswer: 19, 22691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -0.3 (b) 13\/3 (c) 94\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1378619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be (13 - 6)*(-2 + 315279)\/(-1). Let p = -9756939 - q. Round p to the nearest one hundred thousand.\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -k**2. Suppose 0*p + 3*l - 4 = -5*p, -3*p = -l - 8. Let a(m) = 37*m - 5 + p + 3 + 293*m. Calculate d(a(c)).\nAnswer: -108900*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3100002 - 40?\nAnswer: -3100042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 129917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from uuuuuxuuuuuuuuuuxuuu.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + -4 + 1 + sqrt(72) + sqrt(72) + sqrt(72) + 4*sqrt(72)*-1)**2.\nAnswer: -12*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the second derivative of f**4\/12 + 7*f**3\/6 + 3*f**2\/2 - 6*f. Let c be s(-7). Is 4 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p**(-2\/17)*p))\/(p*p**8*p))\/((p\/p**(2\/97))\/p*p**19) assuming p is positive.\nAnswer: p**(-47593\/1649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 2*i**3 - 10*i + 25*i + 6*i**2 - 5*i as u*i**3 + s + y*i**2 + j*i and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (709*t - 95201 + 95201)*(-4*t + 4*t + 3*t**2).\nAnswer: 2127*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bbjbjbbbbbb. Give prob of picking 3 b and 1 j.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 81*c**2 + c**3 - 2*c**3 + 105 - 37*c**2 - 44*c**2 as z*c**2 + f*c + h*c**3 + m and give m.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -12393*a**2*c*y**5 - 5*a**2*y + 522*a*y + c*y wrt y.\nAnswer: -247860*a**2*c*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 57 + 27 + 12 + -18 + 17\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v**2 + 119324855*v + 119324850 = 0.\nAnswer: -23864970, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -106 - -93. Let f be (1 + (3 - 2))*(-1)\/d. Put 4.5, 3, f in increasing order.\nAnswer: f, 3, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -47238 - -80348. What are the prime factors of s?\nAnswer: 2, 5, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oll when three letters picked without replacement from llololllolooollo.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 5643 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*u - 2075 + 1205. What is the least common multiple of 232 and u?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the first derivative of -v**8\/840 - v**7\/140 - v**6\/90 + v**3\/3 + 6. Let y(b) be the third derivative of h(b). Suppose y(q) = 0. Calculate q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w - 15. Let k(m) = -3*m + 45. Let r(t) = -2*k(t) - 7*x(t). Let v be r(10). Solve -4*s + 3*s = -v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14\/(-3) + 3)\/(-3*44\/99).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 170*l = 174*l - 388. Suppose -d = -z + l, 295 = 3*z - 0*z - 2*d. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tc when two letters picked without replacement from yjjyjjjyycyphtpcy?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -2*a**2. Let k(b) be the first derivative of -5*b**2 + 5. Determine v(k(g)).\nAnswer: -200*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -125, -126, -127, -128?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-1*5\/(-5))\/(1\/23)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n**3 - 3*n + 3 + 2*n**3 - 3*n**2 - 4. Let s(r) = 1 + r + 0*r + 0*r**2 + r**2. Let v = -1 + 2. Give v*l(z) + 3*s(z).\nAnswer: z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 + (0 - -2) + -4. Let o be t - 14\/(0 + -2). Let c(f) = -f**3 + 9*f**2 + 13*f + 6. Let k be c(10). Calculate the greatest common divisor of o and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve a = -3*k - 11, -3*k + 3*a - 27 = -0*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*b**2 - 12*b**2 - 11*b**2 + 31*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 7397*q**3 + 18449*q**3 - 2.\nAnswer: 25846*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the third derivative of 173*t**9\/504 + 69*t**5\/20 + 56*t**2. What is the third derivative of x(b) wrt b?\nAnswer: 20760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 4 (b) 2\/33 (c) -5 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7 + -5. Suppose 7 + b = i. Calculate the remainder when 16 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 5, g: 8}. What is prob of sequence glgg?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the second derivative of 1\/3*b**3 + 1\/2*b**2 + 0 + b. Suppose 2*g + 5*j = -0*j + 27, -20 = -5*g - 3*j. What is h(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -2 - 3 - 2 + l. Let m be q(11). Solve m*r - 6*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 53 - 5*t - 103 + 50. Let x(f) be the third derivative of 1\/8*f**4 + 0*f**3 + 0*f + 5*f**2 + 0. What is x(s(g))?\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 36082881*u**2 - 1477480*u + 25.\nAnswer: 72165762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 794*v + 39 = 797*v. What is the greatest common divisor of v and 1755?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/(-32)*1)\/(1175\/4700).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**3 + 6*o**2 - 7*o + 5. Let n be (1 - 3)\/(2\/(-6)). Let c = -1 - n. Let r be b(c). Solve 5*d + 25 = -r*m, 2*d = -3 - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 253 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 24 - 2 - (-10 + -1 - (-86 + 64))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22966643?\nAnswer: 7, 17, 79, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10212121 + -1322?\nAnswer: -10220103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -2*k - 4. Let l be h(-3). Suppose -6*a = -d - a + 15, -d - 4*a - 21 = 0. Sort 0, l, d.\nAnswer: d, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**2 + 4*i - 1. Let p(m) = m**2 + 4*m. Let s be p(-2). Let l be (3 - 1)*(-6)\/s. Let h be v(l). Solve h = -5*b - 3*k - 20, 5*k = -2*b - 35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = o - 5. Let s be m(8). Suppose 11 = s*p - 4. Suppose r + 2*x = 3*r - 2, 19 = 3*r + p*x. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 501 is divided by 153.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 106 - 110. Let o(z) be the third derivative of z**6\/120 + z**5\/10 - z**4\/3 - 2*z**3\/3 + z**2. Is o(r) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v**5 - 4832*v**4 + 234252*v**3 - 2130712*v**2 - 15417584*v - 20361120 = 0. What is v?\nAnswer: -1255, -3, -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6.6933514 + 6.693. Round t to 6 dps.\nAnswer: -0.000351","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-30)\/18*3*(-2)\/(-45).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o = 3*x + 62, -198*o + 203*o + 46 = x for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7761755*c**4 + 407151449*c**2 wrt c.\nAnswer: -186282120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 456*x**3 - 6837*x**2 + 6837*x**2.\nAnswer: 456*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1660 - -7000. Factor -270*r - 1440 - 306*r + p + 196*r + 5*r**2.\nAnswer: 5*(r - 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 417 = 5*h - 513. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*k + 2 - 15*k - 2*k**2 + 7*k to d*k**2 + u + j*k and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 36600065 to the power of 1\/2, to the nearest integer?\nAnswer: 6050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1\/9, 3, -647, -5766?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 257*d**2 + 7322*d + 5873383 wrt d.\nAnswer: 514*d + 7322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 2*f**2 - f. Determine l(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j**2. Let a(i) = i**2. Let o(w) = 5*a(w) - 4*g(w). Let m(y) be the third derivative of y**4 - 2*y**2 + 12*y. Give o(m(u)).\nAnswer: 576*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4658*v - 90 = 4653*v. Solve 20 = v*f - 34 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 39568 and 18?\nAnswer: 356112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*f + 48*f**2 - 13*f**2 + 2*f**2 + 16*f**2 - 20*f**2.\nAnswer: 33*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 209 and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -3*l - 4*t, 0 = -0*l - 2*l - t - 7. Let r = 0.03 - 22.03. Let d = 23 + r. Which is the nearest to d? (a) l (b) -0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 224564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = v**2 - v - 20. Let i(x) = x**2 - 2*x - 19. Let k(y) = 2*i(y) - 3*p(y). Find the first derivative of k(f) wrt f.\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 9\/6*10\/3. Let g be (-6)\/(5 + -8) - 3. Which is the nearest to -2\/3? (a) g (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-10 - 2) + 3 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 147*u + 4. Does 3 divide h(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 6*c**2 + 65*c. Suppose -5*i = -25 - 45. What is the smallest common multiple of i and b(-11)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7409 = -387*i - 4313 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1769 - 1839*l + 3596*l - 678*l with respect to l.\nAnswer: 1079","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c\/(c**(-3)*c)*c)\/c**1)\/(c**3*c\/c**9) assuming c is positive.\nAnswer: c**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide ((-3)\/45 + 15904\/60)*8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 73 is divided by (4 - 3 - -5) + 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -113\/102 and (598\/(-520)*(-20)\/4)\/(-10)?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.4, 47571, -2\/21, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-2) + 35*42\/280)*-4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -3*y - 2. Let s be o(-7). Let d = s + -16. Suppose d*u + 0*t - 263 = 4*t, 4*u - 2*t = 344. What is the highest common factor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((-2*sqrt(66)\/sqrt(72))\/((sqrt(21) + 4*sqrt(2100))\/sqrt(7)))**2*4.\nAnswer: 44\/5043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -88, -92, 88, 548, 1384, 2692, 4568, 7108?\nAnswer: 10408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be (6\/(-9))\/(2 - 0). Let h = -141 - -140. Which is the second biggest value? (a) d (b) -1\/9 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 3*j**2)*(-26*j**3 - 2*j**3 + j**3).\nAnswer: 81*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = -57 + 56. Which is greater: 4\/65 or b?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -m**2\/4 - 2576352*m - 6637589627904.\nAnswer: -(m + 5152704)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ttttututtttttutt?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-38 + 3*y**2 + 72 - 41)*(0 + 2 - 3)*(6*y**2 - y**2 + 2*y**2).\nAnswer: -21*y**4 + 49*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 2*b**3 - 5*b - 2. Let i be y(2). Suppose -7 = -i*k + 5. What is the first derivative of -x**k + 3*x**3 + 2*x**3 + 17 + x**3 wrt x?\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -2*u. Let g be r(-3). Let d(v) = -4*v + v**2 - 6*v + 3*v + v. Determine d(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -14 - 3*y - 8 + 22. Let s(a) = -a**2. Determine t(s(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 50 divide 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of p**4 - 706*p**3 - 3*p**2 - 16*p - 232237.\nAnswer: 4*p**3 - 2118*p**2 - 6*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1298142507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in 0, 1\/7, 32?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 152 divided by 4?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4941 - -11174. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8 - -2. Let t be 15\/(-21)*4\/a. What is the biggest value in 1\/5, t, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.97 + 0.33. Let r = -1.252 + x. Let s = 0.04799958 - r. Round s to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/((-18)\/9)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -106? (a) 2 (b) -19.91 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**3 + 7*f - 2*f - 2*f + 2*f**2. Give u(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/(-4))\/(150\/(-660)*6\/20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 656 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the third derivative of c**5\/120 + c**3\/3 + 3*c**2. Let a(n) be the first derivative of r(n). Let u(x) = x**2. What is a(u(k))?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x = 2*b - 173, 5*b = 2*x - 659 + 584 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j be 8\/45 + 2\/(-5). Let h = 2.5 + -3. Let l = 2104\/9 + -234. Which is the closest to j? (a) 6\/5 (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9003 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-211*o + 211*o - 39*o**4)*(5 - 1 - 1) + 0*o**4 + 2*o**4 - o**4 to the form k*o**4 + y*o**3 + r*o + p + z*o**2 and give k.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 75765, 73441, 71115, 68787, 66457, 64125, 61791?\n\"Answer: -k**2 - 2321*k + 78087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 46974.\nAnswer: 2, 3, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 15) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -37*s**4 - 71*s**4 + 63*s**4 + (0*s**2 - 5*s**2 + 3*s**2)*(2*s**2 - s**2 - 2*s**2) + (s**3 + s - s)*(-5*s + s + 3*s) + 3*s**4 - 2*s**4 + 3*s**4.\nAnswer: -40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1244 - 1245. Let q = 2 + -2.1. Let z = -3.1 - q. What is the nearest to t in 3\/2, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*d - 7*d + 0*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.0307? (a) -2\/317 (b) -3 (c) -0.04 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f + 2*o - 5, -8 = -3*f - o - 2. Let d(v) = 43*v + 5. Is d(f) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/r**(-1)*r)**(-2\/83)\/(r**1)**(16\/5))**(3\/17) assuming r is positive.\nAnswer: r**(-4074\/7055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 270358091 to the power of 1\/2, to the nearest integer?\nAnswer: 16443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zjwelhw. What is prob of sequence lz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the first derivative of -a**2\/2 - 11*a + 2. Let c be d(-9). Let x be -1*(4\/c - 2). Solve -x = 3*u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 91 minutes before 3:15 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes after 5:43 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 48*k**2. Suppose -h - 9 = -0*o + 5*o, 0 = -3*o + h + 1. What are the prime factors of p(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (4\/(-6))\/(((-93)\/62)\/(((-1980)\/(-16))\/(-1)))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -425, -2\/15, -0.3, 1\/4, -0.02?\nAnswer: -425","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 349 = 4*m - 2*r, 3*r + 1032 = 3*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23513 (base 7) in base 13?\nAnswer: -2a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by -850671?\nAnswer: -1\/283557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/((-210)\/(-5))*-6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13111?\nAnswer: 7, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x + 2*x + g - 165 = 0, 46*g - 47*g = -3*x - 248 for x.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10)\/65*(11 - 13)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -82*((-7)\/(-14))\/(2\/(-34)) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t**2 + 19*t + 5. Let f be x(-19). Suppose 0 = -5*i + 15. Let v = 18 + -14. Sort f, v, i in descending order.\nAnswer: f, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 152.67 - 33.87. Let d = -128.97 + -3.03. Let o = d + f. Round o to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:25 PM and 3:10 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**2 + 11*n. Let d be p(9). Suppose 0 = 22*m - d*m - 168. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 50*v**3 + 2*v**2 - 4*v + 1. Let c(g) = 51*g**3 + 3*g**2 - 5*g + 1. Let q(a) = -4*c(a) + 5*h(a). What is the remainder when q(1) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(85)*-4)\/sqrt(5).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 2*y - 2*y - 6*y + (3*y - y + 0*y)*(-1 + 2 + 5) as m + s*y and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (12\/(-42))\/((300\/(-6))\/(-10)*12\/(-70))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h**2 + 2*h + 3. Let q be s(3). Suppose q = -0*l - l + 1. Let y(m) = 4*m**3 + 2*m - 1. What is the units digit of y(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xdjdxdzjrddddh. Give prob of sequence jr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 1542 divided by -6307\nAnswer: -1542\/6307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = 38820 - -9526. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5720126 - 6.51.\nAnswer: -5.9379874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -56, -337, -900, -1745, -2872, -4281, -5972?\nAnswer: -7945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 40 + 5 + ((-62 - -42) + 12 - (-1 + -2))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -5*u + 3. Let a(y) = y**2 + 18*y - 40. Let h be a(2). Solve u*i + 3*i - 5 = h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 603731.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15260190076 + 38*i + 15260190076.\nAnswer: 38*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a - 3*s - 10 = 0, -2*a + 5*a + 6 = -3*s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-17)*w**(-6\/11) assuming w is positive.\nAnswer: w**(-193\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be 19\/((-228)\/(-752))*3\/2. Find the common denominator of 125\/84 and (u - 0)*(-11)\/(-726).\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 31\/248*120 - -9. Let l be 224\/6*(-18)\/(-8). Calculate the greatest common factor of x and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 9 = 0, 6*m + 2*f - 150 = 2*m. Let t = m - 20. Let p(z) = -t*z - 2 + 6*z + 1 + 2. Give p(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 146*r**2 - 88*r**2 - 103*r**2 - 1.\nAnswer: -45*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3757*u + 19700 - 3875 = -4390*u for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -4 + 4 + 2*h + (2 + 3 - 4)*(4*h + 3*h - 4*h) + (-1 - 2*h + 1)*(-3 + 1 + 3).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 38460 by -15.\nAnswer: -2564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.0114 + -1139.0114. Let s = 1138.98092 + b. Let l = -0.018 - s. What is l rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.626275 millennia in decades?\nAnswer: 362.6275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) be the third derivative of -m**4\/4 + m**3 - 5*m**2. Let s be j(-5). Suppose -3*c = c - 4*x - s, 4*x = -c + 34. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(4\/17)\/z)\/(z**(2\/29)\/z)*(z*z*((z**12*z)\/z)\/z*z*z)**(3\/34) assuming z is positive.\nAnswer: z**(1469\/986)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 55930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 1\/4 (b) -0.03 (c) 2\/9 (d) 3\/14 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*m + 320*m - 6543 + 21268 = -163*m for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 60 - 58.64. Let l = -1.245 + j. Let p = l + -0.1149968. What is p rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 - -2)*(-1)\/(-2). Suppose 0 = -4*c - 2*r + 14, d = -4*c - r + 16. Calculate the highest common factor of c and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50*o + 172 = -48*o - 3*i, 5*o = -i + 413. Calculate the remainder when 246 is divided by o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -152*a**3 + 329*a**3 - 164*a**3.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + s + 1)*(3*s - s - 3*s) + (170 - 111 - 123)*(-s**2 + 6*s**2 + 6*s**2) - 2*s**2 - 3*s + 3*s.\nAnswer: -707*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**3 + 3*t**2 - t. Let y be g(2). Let w be y\/(-9) - (-87)\/27. Suppose -2*b = -w*h - 4*b + 53, 0 = -h + 2*b + 31. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -272, -271, -272, -275, -280?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 74171853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q and 1 z when three letters picked without replacement from qzqzzqzz?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be -16*(-17)\/11016*9. Let o = -2.1 - -2. Which is the closest to 0.4? (a) z (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 46080 and 792.\nAnswer: 506880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 2 + 8 = 0. Let k(o) = -o**3 - 5*o**2 + 8*o + 8. Let w be k(z). Let s be 0\/(-3 - (w - 0)). Put s, 3, -2 in ascending order.\nAnswer: -2, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 3*p**2 - 4*p - 23. Let q(z) = 7*z**2 - 6*z - 50. Let s(k) = 5*j(k) - 2*q(k). Calculate s(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 77.2 - 0.2. Let q = 76.999985 - x. Round q to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 861*k**4\/2 + 9469*k**3\/2 + 12043*k**2 - 28*k = 0. Calculate k.\nAnswer: -7, -4, 0, 2\/861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -553 - -218. Let x = p + 495. Suppose -2*q = 7*g - 3*g - 40, 2*g + x = 5*q. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -206088 (base 12) in base 7?\nAnswer: -4214306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -9*y**3 - 2*y**2 + 4. Let q(j) = 35*j**3 + 9*j**2 - 16. Let p(m) = 9*a(m) + 2*q(m). What is the derivative of p(u) wrt u?\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = 2*t - 3*z, t + 3*z + 12 = -3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - -1 - (-5 + (4 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 1366, 2128, 2890, 3652, 4414?\n\"Answer: 762*g + 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k + 3*r + 1 - 0, 4*r + 12 = 0. Suppose -1 = k*o + 111. What are the prime factors of 262\/8 - 7\/o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -74 - (-1)\/(-2)*-4. Let q = -521 + v. Let n = -400 - q. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 232 times 3?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -15, -3, -24, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 4092 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 16 = 3*p. Suppose -4*h + p = -4. What is the first derivative of -5*x**3 - 5 - 6*x**h - 2 - 13 wrt x?\nAnswer: -33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 79322461.\nAnswer: 109, 727729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3827799329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hii when three letters picked without replacement from iiiiihiihiii?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 305 (base 11) to base 14\nAnswer: 1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 242 is divided by 54.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1496\/(-36))\/(-2) + (-8)\/(-36). Let i be -9 + k + -8 + -3 + -1. Solve i = 3*z + 2 + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -1\/50 (b) 2\/11 (c) 0 (d) -1 (e) -3 (f) 13117\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is c8 (base 16) in base 4?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/9 of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 1, h: 2, a: 3, c: 3, p: 2, g: 7}. Give prob of sequence pgng.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3.7? (a) -4 (b) 5 (c) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13, 25, 57, 121, 229, 393?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((-1*sqrt(567)*-2 + 5 + 1 + sqrt(567))**2 + 4 + 3).\nAnswer: -30876 - 1944*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 41 - 25. Let q(m) = 3*m**2 - 3*m**2 + 5*m**2 - 4*m**2 + 3 - 15*m. Let w be q(j). Which is smaller: 18 or w?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 5499439686?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + (9 - (-5 - (-19 + 7))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 795564053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5.144 - 0.144. Let g = -18 - -18.5. What is the nearest to 1 in g, p, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -19 + 20. Let o = 1.3432 + -0.8432. Which is the nearest to z? (a) 5 (b) 2\/33 (c) o (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((7659\/(-3105))\/((-4)\/12) + 22)*-5.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-115)\/(-92)*8\/(-20))\/((3692\/(-8))\/13).\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 24\/95 and 6\/58159.\nAnswer: 290795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 131\/168 and 23760\/161595 + (-4)\/19.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-69)\/46 + (-22)\/(-4). Which is the third smallest value? (a) 0.4 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2270013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4516\/337 + 8068069\/600534. What is the common denominator of -67\/18 and p?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -597606057*i + 21*i**2 - 160*i**2 + 597606057*i.\nAnswer: -139*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21364 is divided by 10563?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 121417*d**2*x**3 + 21*d**2*x**2 - 2*d**2 - 20*d*x**2 - 3*x**2 wrt x.\nAnswer: 728502*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 7466703?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the third derivative of a**4\/24 - a**3\/2 - a**2. Let o be q(6). Suppose -2*m = o*m. Solve -2*x - 3 - 3 = m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -12\/29, 0.3, 2\/21, -0.04, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -53.99999239 - -54. Round w to 7 dps.\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3546085822 is divided by 2052?\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the third derivative of -j**7\/630 + 11*j**5\/90 + j**4\/3 - 5*j**3\/2 - 147*j**2. Suppose k(u) = 0. Calculate u.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 0, -4, -28, -84, -184?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-39)\/(-6))\/((-2)\/(-4)). Suppose -3 = 3*s, -2*h + 2*s + 16 + 10 = 0. Suppose -h = -11*b + q*b. Is b greater than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 5*s**3 - s**2 + 2*s - 1. Let c be b(1). Suppose c*j + 242 = -78. Let z = j + 90. Solve -5*t = 2*a + z, -5*t - 4*a + 0*a = 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5116*i + 2491*i - 107305 = -2148*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/1552104 and 41\/6.\nAnswer: 1552104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeefeeefrfrffe. What is prob of sequence rr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 152 minutes after 6:54 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 45*l - 6. Let o(k) = k**2 - 9*k + 12. Let u be o(1). Let j(b) = -b + 1. Calculate u*j(d) + h(d).\nAnswer: 41*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 81359?\nAnswer: 81359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the third derivative of 0*t**3 + 0 + 1\/8*t**4 - 5\/6*t**5 - 8*t - 6*t**2. Find the second derivative of r(x) wrt x.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-1\/3))**26\/(z*z**7*z*z\/z**7) assuming z is positive.\nAnswer: z**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -32*j**5*k - j**5 - 162*j**3*k - 4*j**2*k + j*k + 27 wrt j.\nAnswer: -1920*j**2*k - 60*j**2 - 972*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 39880896 divided by -6\nAnswer: -6646816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 98494.72 millennia to months.\nAnswer: 1181936640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -448 + -728071018?\nAnswer: -728071466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 400 minutes before 12:09 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 60053 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-24)\/(-14) - (-2 + (-60)\/(-35)). Suppose 0 = -2*h - 3*l + 11, -2*h + k*l = 16 - 2. Which is smaller: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.7 and -0.192532.\nAnswer: 0.507468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3816407 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 166726977 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2 and 7.28454.\nAnswer: -14.56908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 6 = 5*t, 3*o - 4*t + 1 = -5. Let d be 1396\/36 + o\/(-9). Let s = -19 + d. 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: 3 (base 13) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12220513?\nAnswer: 29, 421397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 26408267*c**3*i**3 - c**3*l + 7*c**2*i*l + 11*c**2*l + 67*c**2 + 16339*l wrt i?\nAnswer: 79224801*c**3*i**2 + 7*c**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3259*k - 3255*k - 5*o + 24, -o + 7 = -k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.3 and 80828?\nAnswer: 80827.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 7997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4)\/12 - 24\/9. Let g be (-5)\/15 + (-10)\/j. Let s be 1\/((g\/(-6))\/(-1)). Solve v = -s*v - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t\/((t*t**(-1))\/t))**(1\/14))**(-42)\/(t**2*t**(3\/7)*t*(t\/(t\/(t\/(((t**(-6)\/t)\/t)\/t))))\/t*t**1) assuming t is positive.\nAnswer: t**(-157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-18)\/(-8))\/(66\/(-72)). Let l = -151\/66 - p. Let f = -1.6 + -5.4. Sort f, l, -0.1 in increasing order.\nAnswer: f, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 19613\/24 - 817. Let x(t) be the second derivative of -t**4\/6 - t**3 - t**2\/2 + 10*t. Let l be x(-3). Which is smaller: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(132)*-5 + sqrt(132))\/(sqrt(36)\/sqrt(192)) + 1.\nAnswer: -112*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -17036013.494772 take away 19?\nAnswer: -17036032.494772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 11601 + -4346. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 28\/2*6\/4. Let r = -5 - -7. Suppose 0 = 5*b - 4*g - 3, 4*b + b + r*g - f = 0. Solve -p = b*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 161016 - 2734006\/17. Let u = g + -192. Which is the biggest value? (a) u (b) -2\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 66896286 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -37*c + 22*c - 105 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 26, -5\/2, -0.02, 3, -261, 3\/4 in increasing order.\nAnswer: -261, -5\/2, -0.02, 3\/4, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2267 divided by -1.\nAnswer: 2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) be the first derivative of 15*x**4\/4 + 5*x**2\/2 + x + 5. Let j(y) = -y**3 - y. Let r(p) = 5*j(p) + w(p). What is the derivative of r(z) wrt z?\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 95091 is divided by 376?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-76)\/14)\/((-161)\/(34937\/62))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 439 minutes after 5:19 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 3*p + 7 = -p, -i - 3*p - 5 = 0. Let y be (i\/(-3))\/(22\/99). Is -1 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by -21638.\nAnswer: -5\/21638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x be -5*(-1)\/5*2. Let b(f) = 31*f**x + 2*f - 1 + 17*f**2 + 35*f**2 - 7*f**2. Is b(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1687 - -3447\/2. Let m = b - 37. Let d be (-9)\/68 + (-2)\/(-8). What is the nearest to 1\/2 in d, -1, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find h such that 39*h**2\/5 - 37359*h\/5 - 765774\/5 = 0.\nAnswer: -261\/13, 978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9, 5, 19?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -665*j**3 + 24*j + 11. Let m(s) = 998*s**3 - 33*s - 16. Give 5*m(z) + 7*y(z).\nAnswer: 335*z**3 + 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 17.09 + -0.09. Let p = w + -17.1. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(119)*-1 - sqrt(119)))\/(sqrt(756)\/sqrt(3)) - ((sqrt(153) - sqrt(153)*-2*5)**2 - ((sqrt(17) + sqrt(17) + 0)*-3 + (sqrt(136)*2)\/sqrt(8))**2).\nAnswer: -18241 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (3 + (sqrt(252)\/(sqrt(60)\/sqrt(5)))\/sqrt(7)*-1 + -5)**2.\nAnswer: 4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12414 is divided by 544.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 103 + 100131?\nAnswer: 100300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110001000110100010 - 100100?\nAnswer: 110001000101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2793 and 3046232?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 154 less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.28567382 rounded to four dps?\nAnswer: -0.2857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (0*w + 0*w - w)*(1 - 1 + 4*w + 2*w - w + 8*w + (2 - 1 + 0)*(2 - 2 + 2*w)) in the form c*w + i*w**2 + k and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -1918 (base 10) in base 6?\nAnswer: -12514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 11) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -68*w + 2938. Calculate z(43).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10100000001 - -1010110?\nAnswer: -10010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8087 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (15*g - 3*g + 6*g)*(1 + 3 - 5)*((-2 - 2 + 3)*(-6 + 1 + 2) + 13 - 19 + 43) to h + r*g and give r.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 3331228687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3671951?\nAnswer: 29, 127, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001015721 rounded to five decimal places?\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 81*b - 83*b = -f - 2, 2*b - 6 = 3*f. Solve 2*s - 10 = -5*u - 18, b = -4*s - 4*u - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 567904 and 24.\nAnswer: 1703712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1813.4 in -1\/5, 0.3, -1, -3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.1 + -2.9. Let p be (2 + (-30)\/27)\/(-2). What is the second biggest value in p, 2, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*s**4 + 1826*s**3 + 1054*s**2 - 786*s = 0 for s.\nAnswer: -1, 0, 3\/7, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4945 and 11555.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -49*i - 559*i - 174*i + 59*i as u + x*i and give x.\nAnswer: -723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -w**2\/3 + 1628*w = 0.\nAnswer: 0, 4884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 463 + 472 = -3*a, -5*a + 25 = 5*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3179, 6366, 9551, 12734, 15915, 19094?\nAnswer: 22271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that 39*s**4\/7 - 15*s**3\/7 - 9*s**2 + 15*s\/7 + 24\/7 = 0.\nAnswer: -1, -8\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -45 + -1777?\nAnswer: -17bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:57 AM and 10:06 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 + 1 = -z. Let r = z - -16. Let j = 15 + r. What is the remainder when j is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -6 (b) 1\/2 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -55713734.8 + 61445661. Let j = p + -5731897.200039. Let o = -29 + j. What is o rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 246256876.\nAnswer: 2, 47, 1309877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 69\/224 and 39\/131096?\nAnswer: 524384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t**2 + 1411*t - 11346. Calculate x(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -8 + 1 + 3 - (-7 + 17 + -10) - -52\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 9 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p**5\/4 - 185*p**4\/8 - 60*p**3 - 95*p**2\/8 + 243*p\/4 + 35 = 0 for p.\nAnswer: -28, -2, -1, -5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14 + -5 - 4) + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**2 + 57*a\/4 - 99\/2.\nAnswer: -(a - 6)*(4*a - 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify f*((((f**(-6)*f)\/f)\/f)\/f)\/f*f*f*f**(-18)*(f**(4\/9)\/f)**(-41) assuming f is positive.\nAnswer: f**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 34, -1, 1, -8, -5 in ascending order.\nAnswer: -8, -5, -1, 1, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 141700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-69)\/(-6) - (-16)\/32. Suppose -3*s + x = s, -12 = 3*z - 4*s. Suppose 115 = 8*r - 3*r. Solve z = -5*g + r - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 323 - 60 = 156*a - 361. Let s(r) be the third derivative of -15*r**2 + 0 + 0*r**3 + 0*r**a + 1\/15*r**5 + 0*r. Let q(g) = -g. Calculate s(q(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-8)\/5*-14*(-105)\/(-5292). What is the closest to 1.252 in -0.2, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(304)*5*1 + 2)**2 + (1 + 4*(sqrt(1216) + 0))**2)*-4.\nAnswer: -108244 - 576*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (100\/30 - 4)*(-1 + 10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -25*n - 15. What is the hundreds digit of a(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.2, -4\/13, 4, 67?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8\/12 + 0 + (-2720)\/(-15) is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 4, g: 3, b: 2}. Give prob of picking 2 g and 2 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 3*g - 8. Let d be i(14). Let x(u) = -30 - d - 3*u - 4*u + 3*u. Is x(-17) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dzjpdddzmmmdduj. Give prob of sequence ju.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o - 5*o + 3*w = -12, 4*o - 3*w - 9 = 0. Let q be (3\/o - -1) + 5. List the prime factors of (q\/4)\/((-4)\/(-16)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor u**4\/4 + 35*u**3\/4 + 429*u**2\/4 + 2057*u\/4 + 1331\/2.\nAnswer: (u + 2)*(u + 11)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 322083 to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 3*w**3 + 2*w**2 + 3*w + 12. Let r be (2 + 0)\/(76\/(-16) + 5). Let x be i(r). What is the units digit of (x\/6)\/5 - (-6)\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -42 divided by -4\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-83)\/((-7885)\/114))\/((-2)\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -2001 (base 4) to base 12.\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12275.\nAnswer: 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1307279551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 365 - ((-1)\/(-3))\/(27\/81).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -5*w + 5. Let d = -21 - -24. Let a(k) be the third derivative of 5*k**4\/24 - 2*k**3\/3 + k**2 + 61. What is d*z(b) + 4*a(b)?\nAnswer: 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) be the third derivative of a**5\/60 + 11*a**4\/24 + 11*a**3\/3 + 20*a**2. Let o be j(-10). What is the common denominator of (-226)\/34 + 60\/o and -59\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -1483*k - 31. What is the thousands digit of d(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2*(15\/6)\/(-1). Solve -5*j = -5, 0 = -n + 4*j - g*j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 334 + -1668\/5. What is the nearest to -0.1 in m, 10.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the second derivative of 0*s**3 - 6*s + 0*s**7 + 0*s**6 - 1\/14*s**8 + 0 + 0*s**2 + 0*s**5 + 2\/3*s**4. What is the third derivative of q(v) wrt v?\nAnswer: -480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 - 101010?\nAnswer: -101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -0.131448527+0.050968\nAnswer: -0.080480527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + 8*p = 7*p + 999. What is the smallest common multiple of 63 and p?\nAnswer: 6993","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*c - 19*c - 115 = 0. Let x = 34 + c. Let h = -31 + 50. What is the greatest common factor of h and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 2*b**2 + 1. Let p be z(-1). Let y(m) = p*m - 4*m - 6*m. Let s(c) = -70*c - 76*c + 146*c + 2*c**2 - 4*c**2. Calculate s(y(r)).\nAnswer: -98*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rd when two letters picked without replacement from vitrdxrv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/10 - (-24)\/(-20). Suppose 5 = -8*t + 7*t. Sort v, t, 53 in decreasing order.\nAnswer: 53, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-33 - 29 + 7)*(k - k + 2*k) + (-4 + 0 + 3)*(0 + 0 + k).\nAnswer: -111*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -34.126487 to 2 decimal places.\nAnswer: -34.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vcv when three letters picked without replacement from vovfcvvoczovv.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*u + 2*q - 38, 41615*u - 41576*u + 5*q = 2*q - 36 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 1661*d + 5310 = -301 - 4355 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -129388*p**5 + 155369*p**2.\nAnswer: -7763280*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 113\/80 and -41\/352.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 5, u: 15}. What is prob of sequence uu?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 845*a**2 - 37 wrt a?\nAnswer: 1690*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 2*g - 4 = 28, -2*q - 3*g + 28 = 0. What is the nearest to q in -2, 2, -4, -0.08?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-8)\/16)\/((-2)\/92). Let k = 689 - 689. Solve -c + k*c + 4*w - 21 = 0, 3*c - 4*w + a = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**3\/3 + 3808*a**2 - 57170*a\/3.\nAnswer: 2*a*(a - 5)*(a + 5717)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4391.6308 and -0.3.\nAnswer: 1317.48924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 8*g - 40 = 0. Suppose 0 = -x, x = -g*i - 3*x + 56. Let s = -6 + 9. Solve 5*b = 4*p + 4 + 3, 5*b = -s*p - i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 - -34?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 1\/21, 1, -33.9, 2\/7, 0.1 in decreasing order.\nAnswer: 1, 2\/7, 0.1, 1\/21, 0, -33.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/3*((-10)\/2)\/(-30)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 53720, 54031, 54342?\n\"Answer: 311*h + 53409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -a**3 + a**3 + 3*a**3 + (20*a**3 + 2*a**3 - 3*a**3)*(2 - 4 + 3).\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*u**3 - 2*u - 2*u**3 - 5*u**3)*(-9*u + 17 - 17).\nAnswer: 27*u**4 + 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 57435011.\nAnswer: 317, 181183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*c - 11 = 12*c. Suppose 0 = 5*k - 16 + c. Solve 3*x = i - 2, -4*x = i - 8 - k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -112*l + 1928. Give c(18).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 664ac (base 13) to base 10\nAnswer: 185366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 2, o: 1, b: 1}. Give prob of sequence obd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 559 minutes after 9:05 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1126*l - 738*l + 1127*l + 819*l + 1421*l to r*l + i and give r.\nAnswer: 3755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xw when two letters picked without replacement from {y: 3, x: 1, w: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 334549337 is divided by 410.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - ((-1 - (4 - -6)) + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4363*l**3 + 44*l - 19?\nAnswer: -26178*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*m = -3*m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -27 + 23 + ((-1 - -7) + -17 - -4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 59*j - 359. What is f(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*(-14*3\/6 + 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8 - -4. Let h be (p - -1)*(-2)\/(-57). Let z = -175.7 - -176. Which is the nearest to 0.1? (a) 1 (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30555985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 630.101 nanograms?\nAnswer: 0.000000630101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 1865, 4, -3 in increasing order.\nAnswer: -3, 4, 1865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes before 8:06 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 7\/32 and -111\/644?\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 718559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -99*k - 161. Give b(3).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**3 - 7*t**2 + t - 8. Let d be h(7). Let c be (2 - d)\/(4\/4). Let x be (12 + 2)*c\/6. Which is smaller: 5 or x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by 435.\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -257 = 5*h - 4*f - 84, 0 = -0*h + 2*h - 5*f + 229 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (12*d + 4*d + 0*d)*(-3*d**2 + 5*d**2 - 6*d**2)*(1 - 1 + 5*d).\nAnswer: -320*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is x in 49*x**4\/3 - 6619676*x**3\/3 - 3467479*x**2 - 4323100*x\/3 - 540388\/3 = 0?\nAnswer: -1, -2\/7, 135097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -1773240 by -30.\nAnswer: 59108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*i = -16*i - 896. Which is the third smallest value? (a) i (b) 0 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 79359.21 centimeters?\nAnswer: 793.5921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be 432*(-5 - (2 - 35)). Suppose -48*v + 72*v = z. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2 - 1)*(-1976)\/(-24). Let q = d - -509. What are the prime factors of q?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 440*a = 5951 + 19633 - 10191 + 37407 for a.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 32964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the third derivative of -o**7\/2520 - 7*o**6\/720 - o**4\/4 - 5*o**2. Let s(c) be the second derivative of d(c). Calculate s(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - -5 - (-13 + 20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 28*o**2 - 12. What are the prime factors of n(3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -x**2 + 10*x - 30. Give b(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*l + 4*l - 2*l)*(-l + 2 - 2)*(-3 + 6 + 8).\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8 + 16. Let t be p\/20 - 68\/(-5). Suppose 0*m - 2*j = -2*m + 2, -2*m = 5*j - 9. What is the highest common divisor of m and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21024746341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1688)\/(-192) + (-8 - 1))*(-12)\/(-3)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 23339737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1*16 + 1701 + -1702?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 3, t: 2, x: 3, u: 1, e: 1, k: 2}. What is prob of picking 2 l and 1 x?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8.7283 - -0.0117. Let g = h - 8.8414. Let v = g + 0.1. Round v to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1372\/(-12) + 4\/(-6). Let f = 185 + l. Suppose 4*o - f = 5*m, -m - m + 2*o - 30 = 0. What is m rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-15)\/6*(-2728)\/155. Solve -p*w = -43*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29409 is divided by 7352.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46*o = 31*o + 165. Suppose 0 = o*k - 15*k + 5*h + 445, -4*k + 425 = -h. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) be the third derivative of r**5\/30 - r**4\/4 + r**3\/3 - r**2. Suppose 898*g + 898*g + 24 = 1802*g. Calculate x(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -61\/1887 and 199\/75480?\nAnswer: 75480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 15*c*d**2 + 130*c*d + 386637*c - 3*d**2 - d wrt d?\nAnswer: 30*c*d + 130*c - 6*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 24*y**2 - 12*y + 15. Let q(j) = 8*j**2 - 4*j + 5. Let o(f) = 8*q(f) - 3*s(f). Let m(d) = -9*d**2 + 5*d - 6. Calculate 4*m(h) - 5*o(h).\nAnswer: 4*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -62 + (3 - ((-40 - -26) + 15)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 157309.992 seconds?\nAnswer: 0.2601025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 29 + -29. Let l(k) = -k - 1. What is l(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22 divided by 12?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = -56 - -101. What is the remainder when z is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 376 minutes before 7:21 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -101707115\/2 - -109080887957\/2145. Let y = t - 2\/2145. What is the common denominator of y and 51\/32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -27.02382 rounded to 1 dp?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yjyjhjjyjhjhjjjh. What is prob of sequence hyhh?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 10225 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*u + 5*u**2 - 4*u)*(2*u - 2*u - 2*u)*(-1 + 2 + 0).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*v**2 - 20*v**2 - v**2)*(-2*v + 7*v - 2*v).\nAnswer: -99*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 7, z: 7}. What is prob of sequence zbzz?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y + 23 - 46 = n, -3*n - 3 = -2*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the second derivative of -f**5\/2 - 11*f**2\/2 + f + 1. Let s(o) be the first derivative of z(o). Let l(w) = w. Give s(l(b)).\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 - 2*d)*(-d - 2*d + 2*d) - 2*d**2 + 5*d**2 + 0*d**2 + (-d - 2*d + 2*d)*(-d - 55*d + 34*d) - d**2 - d + d to j*d + a*d**2 + k and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 - 3*(-60)\/(-27).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = 3*f - 33704, 0 = -2*s - 199 + 189. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 1895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*i + 5*i + 699560397. Let v = i + 53928933. What is v rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -71*g**3 + 71*g**3 + 161*g**5 + 279 + g - 22 wrt g?\nAnswer: 3220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the third derivative of t**5\/60 + t**4\/12 + t**3\/6 + 4*t**2. Let i be 0 + -3 + (-1 - 0). What is b(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {n: 7, d: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 4) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 739171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 16 = -3*o, -o - 3*l + 1 + 1 = 0. Suppose -i - 3*k + 20 = -4*k, o*i + k = 76. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -1.4306 times 17\nAnswer: -24.3202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3\/(3\/(-18)*-1). Suppose -5*p = -2*h - 128 - a, -4*h = 3*p - 72. What is the remainder when 82 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-403)\/124*(384\/(-21))\/(-8)\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**2 - 72746*p + 49452480.\nAnswer: 2*(p - 35680)*(p - 693)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = d**3 + 4*d**2 + 2*d - 1. Let f be 5\/(-1) - (-4 + 2). Let g be k(f). Let i(z) = 1 - 3 + 3*z - 65*z**2 - 59*z**2 + 188*z**2 - 63*z**2. Give i(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -26 + 27. What is the fourth biggest value in 3, 0.4, 5, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1279241032594 less than -0.2?\nAnswer: -1279241032594.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 72 + 23. Let u be 2*g + -4 + 2. Suppose 4*k = -2*a + u, -k - 5*a - 94 = -3*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/798875 and -59\/550.\nAnswer: 1597750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 0.22, 0, -3\/2, 1\/8?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = -2*g + 70, -3*g + 9*a + 107 = 5*a. Calculate the least common multiple of 138 and g.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the first derivative of -p**3\/18 + p**2\/3 - p\/2 - 9. Find i such that k(i) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-30)\/55*22*(-14)\/(-308)*8\/12.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -5, -12.8, 0.2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y\/(y\/y**(2\/39))))\/y**(-9))\/(y\/(y*(y\/y**(1\/9))\/y)*y*y\/y**(-10)) assuming y is positive.\nAnswer: y**(-253\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -n**2 + 2*n. Let v(l) = -l**2 + 3*l. Suppose 27*z - 31*z = -3*q + 13, -1 = 3*z - 4*q. Suppose 6 = 5*w - 14. What is w*v(k) + z*h(k)?\nAnswer: 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 20742, 20743, 20744, 20745?\n\"Answer: l + 20741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be -42*(-9 - (-37)\/3). Is g at most as big as -139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 2*f**2. Let r(i) = 65*i. Determine m(r(z)).\nAnswer: 8450*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 658043181?\nAnswer: 3, 73115909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the third derivative of w**8\/48 - w**5\/12 - 3*w**2. Find the third derivative of m(o) wrt o.\nAnswer: 420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 50 * -0.07\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -0.069445*-31.2\nAnswer: 2.166684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 199 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -661 - -393. Let o = 261 + v. Let k(x) = x - 8. Let i be k(7). What is the third biggest value in o, i, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 14 + -15. Let o = 5.7 + -6. What is the second biggest value in o, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-24)\/(-15) - (1 + 1). Let z = 1745\/2 + -850. Let w = -21 + z. Which is the second biggest value? (a) x (b) w (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -2*n**2. Suppose 2 = -2*t - 5*c - 0, -4*t - 22 = c. Let h be ((-144)\/(-21))\/(-4)*105\/t. Let b(r) = r - h - 31 + 67. What is b(d(m))?\nAnswer: -2*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find s such that -6*s**4\/5 + 58479*s**3\/5 - 27921591*s**2\/5 - 13975416*s\/5 = 0.\nAnswer: -1\/2, 0, 504, 9243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-f + 0*f - f)*(-6500*f - 6659*f + 12946*f) + (1 - 2*f - 1)*(-2*f - f + 5*f).\nAnswer: 422*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -8*w - 3*w + 0*w. Suppose -10*t = 46 - 66. Let c(u) = t - 5 + 6*u + 3 - 4*u. Calculate s(c(o)).\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = 63 + -52.4. Let w = 11 - l. What is the second biggest value in -1, -4, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 5 = 86. Let v = x + 92. Which is the nearest to 1? (a) -1\/6 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-19 - (23 + -17 + -21)) + -58 + 0.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 123797449 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*-1*(1 + sqrt(704)) - (2*sqrt(704) + 0 + 1))**2.\nAnswer: 896*sqrt(11) + 45105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**2 + 5*p - 4. Let l be z(1). Solve -6*c + l*c + j = 5, -3*c = 5*j + 21 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -106 + 180. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 15952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7*r - 86*r + 9*r - 63*r - 174 + 2*r wrt r.\nAnswer: -145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 534 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3662 - 3626. Solve u = -3*c + 30 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -197 at least as big as -1381\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c**5\/21 - 8*c**4\/7 + 78*c**3\/7 + 720*c**2\/7 - 2592*c\/7 = 0. What is c?\nAnswer: -12, 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 11398367, 11398409, 11398453, 11398499, 11398547?\n\"Answer: y**2 + 39*y + 11398327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 2*w + 159 = 3*r, -162 = -5*r - w. Let j = r + -31. Calculate the highest common factor of 3 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - z = -165588, -18*z - 10 = -13*z. Suppose 4*v - n = -5*u + 2*u, 0 = 5*v - 5*u - 103450. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 + -26. Is 2\/n*-6*1822 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-174)\/(-145) + 26\/(-20)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7319558 is divided by 3659775?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -22*s + 487. Let m(v) = -22*v + 454. Let q(l) = 15*m(l) - 14*z(l). Give q(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -111, -133, -185, -279, -427, -641, -933, -1315?\n\"Answer: -2*j**3 - 3*j**2 + j - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.003*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -983*i + 29094 = 148*i + 33*i - 418*i for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2040, 1940, 1776, 1554, 1280, 960?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = a**3 - 5*a**2 - 14*a - 2. Let i be s(7). Let u be ((-198)\/4)\/((-4 - i)\/12). What is the highest common divisor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the second derivative of 2 + 76*p + 2\/3*p**3 + 1\/12*p**4 - 11\/2*p**2. Give g(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 4*h + 1. What is a(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-4)\/6)\/(2\/(-87)) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0 (c) 4 (d) -1 (e) -0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (44\/(-55))\/((-8)\/380). What is the greatest common factor of i and 608?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 662918*l*n - 39*n - 8411 wrt l?\nAnswer: 662918*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, -283, 0.1, -4449?\nAnswer: -4449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7527 and 2808.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -643, -593, -457, -193, 241, 887, 1787?\nAnswer: 2983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -347215, -3, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 10\/3, 4, -28.\nAnswer: -28, -0.4, 10\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10250, 20137, 30028, 39923, 49822?\nAnswer: 59725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 22798835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8.7 + -1.4. Let i = -25.3 + p. Which is the closest to 0.4? (a) -1 (b) -2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -53 + 49. Let p(t) = -3*t - 6. Let u(w) = 2*w + 5. What is a*u(o) - 3*p(o)?\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 5*3\/20*-4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 25361438*t**4 + 19468161?\nAnswer: 101445752*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 2*w**2 + 2*w - 2. Let d = -27469 + 27464. Give t(d).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 593160 and 235560.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 68*f**5 + 1825*f**2 - 282606*f wrt f.\nAnswer: 1360*f**3 + 3650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 382 divided by -12904.\nAnswer: -191\/6452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 117598 or 117597?\nAnswer: 117597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 140386 divided by 17?\nAnswer: 8258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.479 - -0.019. Let x = t - -0.06. Let s = x - 9. Round s to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1063.4 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 148 + -150.66. Let m = x + 2.96. Which is the fourth biggest value? (a) -1\/8 (b) 1.4 (c) -1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24 (base 7) in base 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 5, -1\/12, -0.2, -0.2342, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 2 (b) 218 (c) -5\/1299\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 36339182*j**3 - 43*j**2 + 3210*j - 14?\nAnswer: 218035092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3968045*o + 4*o**2 - 3968045*o + 0*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 52 + -49. Let c(w) = 4*w**h - w**3 + 9*w**2 + 3*w**3 - 5*w**3. Determine c(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = q**3 + 4*q**2 + 6*q + 17. Let v be m(-3). Let c(k) = 10*k**2 + 3*k - 36. What is the tens digit of c(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v - 4 = -0*v. Suppose 0 = 2*i - 31 + 73. What is the units digit of 1\/(v - 22\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/(-16)*4*27. Calculate the highest common divisor of n and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/6)\/((-12)\/(-540)*15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 291 minutes before 1:31 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 2.72 times -0.02\nAnswer: -0.0544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e, 1 i, and 1 q when three letters picked without replacement from {q: 11, e: 1, i: 8}.\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -65 + (43 - -3) + 0\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(684) - (sqrt(684) + -5))*3 + 5*(sqrt(684) + (-6*sqrt(684)*-6)**2).\nAnswer: 30*sqrt(19) + 4432330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 110243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6103572 is divided by 908.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 3*i + 16 = 0, 0 = 3*i - 0*i. Let v(n) = -n - 9. Calculate the remainder when 53\/4 - (-1)\/(-4) is divided by v(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 + 0 = p - 5*i, 4*p + i = 6. Suppose 0 = q + 3 - p. Which is smaller: q or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8653011109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 1771, 1770, 1769, 1768, 1767, 1766?\n\"Answer: -z + 1772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -316*i**3 + i - i + 318*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 332*m + 3979. Determine d(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 504, 1002, 1496, 1986?\nAnswer: 2472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, 80, 311, -10, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -1220020012010 (base 3) to base 10.\nAnswer: -1008345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 1*((-184)\/2)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 949a52 (base 16) to base 14.\nAnswer: 14171d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 127 from 1.2.\nAnswer: -125.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + (5 - 8) - 7 - (-264 - -303)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 665 - 1133. Let t be 6\/8 - m\/16. Calculate the highest common divisor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 122548771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -209 + 1264. Suppose -5*h + 4*f + 2648 = 2*f, -5*f = -2*h + u. List the prime factors of h.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + (-5 - (6 - 2)) - (-4 + 27) - -7.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -s**2 - 14*s - 40. Calculate p(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 1013022220 (base 4) to base 12.\nAnswer: 120834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 71*q**2 - 2*q - 1. Let s be x(-1). Let w be 130\/105 + 22\/231 + 40\/6. Calculate the highest common factor of w and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -223 + 187 + (23 - 2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r\/(r\/(r**16*r)*r)*r*r)\/r)\/r)**24 assuming r is positive.\nAnswer: r**384","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.3*-441143.55\nAnswer: -132343.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3317854 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(-5)*165\/(-297)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 388*c - 3761 = -269 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by -1116?\nAnswer: 1\/558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -45942, -45440, -44940, -44442, -43946?\nAnswer: -43452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 10*x + 68. Let t be o(-6). Suppose 3*r = -l - t, 3*r = 5*l + r + 6. Which is the closest to l? (a) 0 (b) 0.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -4, -0.5, 0.4, 65754\/5.\nAnswer: -4, -0.5, 0.4, 2, 65754\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 134298*u**2 - 64289*u - 1 - 134296*u**2.\nAnswer: 2*u**2 - 64289*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 769 = 6*t + m, 2*t = -m + 514. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1488 is divided by 249.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1208 and 7379974.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is next in -327, 205, 1097, 2355, 3985, 5993, 8385, 11167?\nAnswer: 14345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4.815 + -5. What is m rounded to 2 decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 1 - 1)*(-4*h - 5*h + 3*h) + 2*h + 0*h - 5*h + (2*h + h + 0*h)*(5 - 3 - 3) as o*h + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aaaajqaaajajjaaammv. What is prob of picking 1 j and 1 q?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - -1)*132\/(-330).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -11*a + 11. Let x be n(-8). Let p be 1\/3 + (-15)\/(-9). Suppose -3*k + 45 = p*k. What is the highest common divisor of x and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -312 divided by -104?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 165755869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let -2*i**5 + 1079*i**4 + 15073*i**3 - 76798*i**2 - 956480*i + 495488 = 0. What is i?\nAnswer: -14, -8, 1\/2, 8, 553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 24024455951.600098 + -24022250206.8. Let l = -2205748 + q. Let p = l - -3.2. Round p to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -2\/5 (b) -4.636 (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -2*f**3 + 43*f**2. Let w(i) = -4*i**3 + 86*i**2. Determine -3*w(m) + 5*x(m).\nAnswer: 2*m**3 - 43*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/(14 - (-8181)\/(-468)). Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3\/(-5) + -4*(-866)\/40. Let v = 15 + t. List the prime factors of v.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k + 4*k - 493 = 3*l - 476, -3*k - 2*l - 26 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -457602 divided by 6\nAnswer: -76267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 2322 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 w = 57 - 37. Suppose -4*r = -w, 2 = 2*h - 0*r - 2*r. 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 6176 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -4, 7, 26, 53, 88, 131?\n\"Answer: 4*k**2 - k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 555*k + 21628 - 1648 = 0 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -7 * 63.\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 2*q**3 - 5*q + 5. Let y(z) = -z + 9 + 3 - 17 + 6. Give n(d) - 5*y(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -734 + 736. What is the least common multiple of (-5 + 1 - -78) + 0\/(-2) and l?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 114331?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w be (30 + -24)\/((-2)\/(-3)*-3). Let o = 10 - 7. Let n be -1 + 24\/63*o. What is the nearest to -2 in -0.2, w, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-7)\/28 + (-9)\/(-4). Solve -d*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 95032797*g*j + 4444*j - 3264 wrt g.\nAnswer: 95032797*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 6863406937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -256*m - 228*m + 449*m. Let l = 16 + -14. Let f(a) = -l*a - a + 4*a. Determine f(x(p)).\nAnswer: -35*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 117012803.\nAnswer: 331, 337, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (k - k - k)*(-101*k + 397 - 397) in the form j + a*k + i*k**2 and give i.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by 908275.\nAnswer: -4\/908275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 2 + 2*f**4 + (-f**2 + f**2 + 3*f**4)*(1 + 4 - 1) + 5*f**4 + 28*f**3 - 28*f**3 as i + z*f**3 + k*f**2 + u*f**4 + r*f and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*20 - (1616 + -1686)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p**3 + 2. Let w(m) = -m**3 + 5. Determine 6*w(d) - 15*x(d).\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(1300) + sqrt(13) + (-1 + sqrt(832))**2 + -5*sqrt(13)*2*6.\nAnswer: -95*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3064 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1778 + 120 + 41 - 151*o**3 - 2281.\nAnswer: -151*o**3 - 3898","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g. Let k(h) be the third derivative of -h**4\/3 + 17*h**2. Calculate k(t(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 80.7 + -84.67. Let y = u + -159.03. Let d = 164.01 + y. What is d rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-26)\/(-10) + 2\/5. Let t = -2.675 - 0.325. Sort m, 0.1, t in descending order.\nAnswer: m, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the second derivative of -73*i**4\/4 - 17*i**3\/6 - 3834*i**2 - 9579*i. Differentiate t(a) with respect to a.\nAnswer: -438*a - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*n = -16061 + 187421. List the prime factors of n.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:29 AM and 12:33 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2 - -7. Suppose c*y + 4*r - 27 = 2*y, -y = -5*r + 10. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 199972? (a) -1 (b) -0.4 (c) 4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0170237 to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be 14\/10 - (-2)\/(-5). Let j(t) = 5*t + 1. Let i be j(o). Let x(y) = 4*y. Is x(i) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 71*y**2 + 191*y - 592. Calculate r(3).\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is ((15\/25)\/(24\/100))\/((-5)\/(-24))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110000101111011 + 1101010110010?\nAnswer: 111110000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the third derivative of 5*y**8\/336 + y**4\/4 + 2*y**2. Find the second derivative of a(d) wrt d.\nAnswer: 100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -50252, -100504, -150758, -201014, -251272?\n\"Answer: -q**2 - 50249*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 549840192?\nAnswer: 2, 3, 11, 257, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3782520*o*u*x**3 - 6*o*u*x**2 - 299*o*u*x + 2*o*u + 11*o*x**3 - 5*o*x - u*x**3 - 2*x**2 - 226 wrt x.\nAnswer: -22695120*o*u + 66*o - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -833*f**4 + 7*f**3 - f**2 + f - 3054120 wrt f?\nAnswer: -9996*f**2 + 42*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9418097?\nAnswer: 13, 724469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.114546 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -147, 120, 845, 2256, 4581, 8048, 12885, 19320?\n\"Answer: 38*z**3 + z**2 - 2*z - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44 = -21*u + 86. Suppose 4*x + 5*m - 23 - 9 = 0, u*x + 5*m = 26. Let o be 2\/(-4) + (-11)\/(-6). What is the closest to 4 in o, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -186*g + 70. Calculate w(-1).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the first derivative of z**3 + 135*z**2\/2 - 239. Factor q(t).\nAnswer: 3*t*(t + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of ((-28)\/8 + 3)\/((-2)\/44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -2*j**3 - j**2 + 3*j + 2. Let n(b) = -b**3 - 30*b - 2*b**2 + 27*b + 1 - 3*b**2. Let a be n(-4). Is 19 a factor of l(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 15*y**3 + 5*y**2 + 5*y - 12. Let d(b) = 13*b**3 + 5*b**2 + 4*b - 11. Let p(r) = -7*d(r) + 6*i(r). Let g = -5 + 0. Calculate p(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + -1 + sqrt(180) - sqrt(180)) + 5)**2*5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11936187, 11936172, 11936167, 11936178, 11936211, 11936272, 11936367, 11936502?\nAnswer: 11936683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/79510208 and -51\/228591848.\nAnswer: 1828734784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cdtdttddddtddttdtcc. Give prob of picking 1 d and 1 t.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 329 - 108 - 111 - 24*o - 14*o**2 + 3*o**3 - 10*o - 109 as u*o**2 + f + s*o**3 + v*o and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 2*r**4 - r**2 - 11*r**2 - r**3 - 14 + r + 14*r**2 as b + o*r**2 + v*r**3 + n*r**4 + w*r and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17609711, -35219420, -52829129, -70438838?\nAnswer: -88048547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -4*b**2 + 155*b - 110. Determine r(38).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 241\/119 + -32\/17. Sort -2\/9, -57, 1\/4, y in descending order.\nAnswer: 1\/4, y, -2\/9, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -327991 (base 11) to base 9\nAnswer: -876305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = -258 - 1952. Suppose -4*z + 670 = -l. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k + 10 - 2, 3*q - 21 = 3*k. Solve -10 = q*f - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -53172642453 + -2927\nAnswer: -53172645380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 11 + 1 = 0. Suppose g*m - 2 = 10. Suppose -6 = -4*a + m, -5*i + 19 = -2*a. Solve 2*k - k = i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-8 + 5)\/((-33)\/(-21) - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5 - -9. Suppose -z - l = z, -5*z + j = -l. Is (-47)\/(z\/((-10)\/1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the third derivative of -b**5\/30 + b**3\/6 - 5*b**2. Let z = 33 - 31. Give c(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38313 is divided by 1065.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w + 4*j + 25 = 0, -4*w - j + 28 = -5*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -18*c**5 + c**4*k - 5*c*k + 39 wrt c?\nAnswer: -360*c**3 + 12*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 111*j - 973. Let t be z(9). What is the third biggest value in -4\/5, 23, -2\/17, t?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j - 4*j + 5*c - 103, 4*c - 8 = 0. Suppose 0 = -3*h - 3*n + j, 4*h = -2*n + n + 118. Solve d + 3*u = -3*d + h, d + u = 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the second derivative of n**5\/20 - n**4\/4 + n**3\/6 + n**2 + n. Let k be (5*2\/6)\/((-5)\/(-15)). Suppose k*j + 6 - 16 = 0. Give u(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15162*c + 15259*c = 3201 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 11645.79 millilitres in litres?\nAnswer: 11.64579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -5587940*a**4*l - a*l*t**3 - a*l + 7*l*t**3 + 3*l*t + 162*l - 218*t**3 wrt a?\nAnswer: -22351760*a**3*l - l*t**3 - l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (-6 - 3) - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30181644.\nAnswer: 2, 3, 838379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11363 is divided by 2834?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -184527 + 2876.\nAnswer: -181651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -150*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) -4\/9 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t - 17. What is y(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -6*n**2 + 150*n - 11. Let w be x(20). Suppose 576*t = w*t - 195. What is the remainder when (0 - 14\/(-4))*8 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2720221*d**3 - 2720695*d**3 - 592 - 300 with respect to d.\nAnswer: -1422*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -3 + 1*-68 + -2. Let f = k - -77. Suppose -39 = -3*v - 12. Calculate the remainder when v is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12518862 is divided by 1629?\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3001 (b) -8 (c) 81 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the second derivative of -2*m**3\/3 - m + 267. Let n(a) be the third derivative of 7*a**4\/8 - a**2. Determine f(n(z)).\nAnswer: -84*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -32 + 28 + -18 - (0 - -16)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 + 3 = 2*p. Let c be ((-12)\/(-8))\/(1\/8). Suppose y + 2*y - c = 0. Solve z - 2*v + y = -z, 2*z = -p*v - 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 13760865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 41117 + -98717. Let z be h\/(-3)*1*-25. Round z to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 381117 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -2*d**2. Let v be 2\/((0 - 3) + 1). Let r = -2 - v. Determine f(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19 - t**2 + 1104*t - 19 - 1104*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1\/(-3))\/(5\/15). Let p be (4 - 2)\/(n\/(-2)). Let c(f) = 2*f**2 - 3*f - f + p*f. Let s(a) = -6*a**2. Determine c(s(g)).\nAnswer: 72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-52)\/910 + (-176)\/(-630). Which is the closest to -0.1? (a) k (b) -0.3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.0309 + 0.1691. Let i(j) = j - 1. Let r be i(6). Which is the second biggest value? (a) r (b) 0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15831173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -251 - -2759\/11. Let x = -102 - -102.1. Put -0.1, x, q in decreasing order.\nAnswer: x, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -6, 5, 31, -2, -18, 106 in descending order.\nAnswer: 106, 31, 5, 4, -2, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4, 12, 20, 28, 36, 44?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 65.11375 litres to millilitres.\nAnswer: 65113.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3246682?\nAnswer: 2, 19, 85439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*d + 8 = -16*d. Suppose 4*l + 5*k - 49 = 0, -l = l - 3*k + 3. What is the lowest common multiple of l and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-2\/3)*d*d*d)\/d)\/(d**(-22\/9)*d) assuming d is positive.\nAnswer: d**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -941.5 + -355.987.\nAnswer: -1297.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9274?\nAnswer: 2, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes after 2:03 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 4*m**3 + 64*m - 3 + 3*m**2 + 0*m**3 + 5*m**3 - 10*m**3 - 6*m**2. What is the tens digit of r(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7*(-5)\/(-15)*((-377568)\/2415)\/(-24).\nAnswer: 76\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -2.3, 1\/8, -3, 0.2, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 52 (base 6) in base 3?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the second derivative of -13\/12*t**4 - 18*t**2 - 20\/3*t**3 - 1\/20*t**5 + 0 + 53*t. Factor c(m).\nAnswer: -(m + 2)**2*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange j**2 + 2*j**2 - 4*j**2 + (29 + 2*j - 29)*(-j + 10*j + 9*j) - j + 2*j**2 + j to the form s*j + d + c*j**2 and give c.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2aa080 - 37?\nAnswer: -2aa107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 22, 9, -36, -131, -294, -543, -896?\n\"Answer: -3*v**3 + 2*v**2 + 2*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by -2137579.\nAnswer: -2\/2137579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 101136062 - -0.021?\nAnswer: 101136062.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 952 and 62350526.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-30)\/40)\/(1\/44). Calculate the lowest common multiple of g\/((-5)\/(-1 - -6)) and 96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3804)\/(-1902))\/((28\/(-104))\/7*(-8)\/18)\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 165 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -24*g**2 - 12*g. Let d(a) = 11*a**2 + 15*a**2 + 14*a**2 - 45*a**2 + 4*a**2. Determine v(d(u)).\nAnswer: -24*u**4 + 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1015572, 4060770, 9136100, 16241562?\nAnswer: 25377156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -1922*f**2 - 23 + 23 + 7933*f**2 + (0*f - 2*f + 4*f)*(2*f + 2 - 2).\nAnswer: 6015*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 267468723 a multiple of 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 48 minutes before 10:48 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -6*i**3 + 4*i. Let p(g) = 24*g**3 + g**2 - 17*g. Give 2*p(x) + 9*r(x).\nAnswer: -6*x**3 + 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -2\/25, 222, -15 in descending order.\nAnswer: 222, -2\/25, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-90)\/70*(80\/(-25) + 3)*-20?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3589343?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-14)\/(-4)*(-104)\/(-91). Suppose -c = -q - 2*q + 248, r*c = -20. Is 81 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4437*p + 4403*p + 782 = 0 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8 + -13. Let z = y - -11. What are the prime factors of ((-141)\/(-15))\/((-2)\/z)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17257640 is divided by 69.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c**3 + 13*c**2 + c + 1. Suppose -11 + 1 = -5*t. Suppose 4 - 30 = -t*d. What are the prime factors of i(d)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 112\/18 - 18\/81.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 630686 is divided by 336.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(0 + sqrt(20) + (sqrt(5) - (2 + sqrt(5) + sqrt(5)*2))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 5 + 3*q**2 + 4*q**2 - 61*q + 64*q. What is the hundreds digit of v(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6913.00038588 + -6913. Round t to six decimal places.\nAnswer: 0.000386","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 22 + -16. Put p, 4\/7, -7 in decreasing order.\nAnswer: p, 4\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 162\/(-210) + (-8)\/(-40)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 12 and 140856?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 194, 712, 3.\nAnswer: 3, 194, 712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/31 < -3612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -14119*a**2 + 446*a - 2 wrt a?\nAnswer: -28238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8 - 1. Suppose b*w + 5 = 2*w. Let t = w - -3. Solve -j - j = -t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1220, 1213, 1200, 1181, 1156, 1125?\n\"Answer: -3*y**2 + 2*y + 1221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -2*o - 22. Let k(z) = -4*z - 45. Determine -2*k(u) + 5*y(u).\nAnswer: -2*u - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 115 divide 1007896402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (102\/9)\/(880\/1320)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3788382337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*r - 2*r - 36. Suppose -2*s - 2*s = -r. Suppose -92 = -3*h - 2*a, 3*h - 44 = h + s*a. What is the common denominator of h and -44\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -88420*p**4 - 4844.\nAnswer: -353680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 3471433 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 620885370 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*t + 31805 = -t + 32077 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7 and 179.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -28c31 (base 16) to base 6.\nAnswer: -3324545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*u - 4*u - 3*u**2 - 8*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 137454015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) be the second derivative of -3*z**5\/10 - 3*z**2\/2 + 16*z. Let y(a) be the first derivative of 7*a**4\/4 + 4*a + 2. Determine -4*s(w) - 3*y(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6\/5 - 1\/5. Let z be (1 - t)*(-4)\/(-8). Suppose 3*k - 69 - 204 = z. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + -9 + (5 - -15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (54\/(-45))\/((-6)\/20). Suppose 0 = -4*f - 3*c - 3 + 7, -12 = f + d*c. Solve -12 = -p + 5*p - 4*k, -f*k + 12 = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.132 + -10.868. Which is bigger: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 12 - 4. Suppose -t*n = -31 - 41. Calculate the greatest common factor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 4, y: 2, d: 4}. What is prob of sequence ddd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 2*o = -101 + 1083, -3*o - 1929 = -4*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -88220 (base 9) to base 16\nAnswer: -e484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*s**5 + 3*s**5 + 2*s**5)*(-4 + 3 - 1) + s**5 - s**3 + s**3 + 4*s**5 - 4*s**5 - s**5 + 3935*s**2 - 2*s**5 - 3857*s**2 + 0*s**5.\nAnswer: -4*s**5 + 78*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21810 divided by 3635.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 2, j: 3, e: 4}. Give prob of sequence jje.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iiiv. Give prob of sequence ii.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 73560?\nAnswer: 2, 3, 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -32600 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22582?\nAnswer: 2, 7, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = 97 + -97. Suppose f = b - 4*m, -3*m + 1 = -2*b + 6. Solve -s = -b*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-28))\/(456\/342*(-3)\/14)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.6 or -6\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o**2 + 6*o + 7. Let k be z(-5). Let n = 1 + 3. Suppose -n*v = 0, k*r + 4*v = -2*r + 72. What is the lowest common multiple of r and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4\/5? (a) 1.07 (b) 1 (c) -64 (d) -3 (e) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in nine tenths of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 7 = -2*b, -10 = 3*b + 2*y - 4*y. Let s(z) = z**2 + z + 4. Let w be s(0). Sort b, w, -3.\nAnswer: b, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2788507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4491640319.\nAnswer: 4491640319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3076586 or -191?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 3133 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l**2 + l**2 - 3*l**3)*(0*l + 3*l - l) + l**4 - 3*l**2 + 3*l**2 + 2*l**4 + 2*l**4 - 3*l**4 + (-5 + 5 - l)*(-2 + 2 - 2*l**3).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (40\/(-180))\/((-2 + 1)\/1)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 2*s**2 - 5*s + 17. Determine g(6).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:50 PM and 8:21 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -509, -508, -507, -506, -505, -504?\n\"Answer: h - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -756536 and -0.03?\nAnswer: 22696.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -38*o - 40461 - 52*o + 40460 in the form l + z*o and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -135 = 12*d - 351. What is the greatest common factor of 1422 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 787694 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p - 82. Calculate l(-84).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 31912593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 13655 + -13653. Solve -20*b = 2 - f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -5990, -6013, -6042, -6077, -6118, -6165, -6218?\n\"Answer: -3*h**2 - 14*h - 5973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 188949*d + 4 - 4 - 189451*d as k + s*d and give s.\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + 4*p)*(2 + p - 2)*(3 - 1 + 0)*(-3*p + 0*p + 4*p).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 82338429.\nAnswer: 3, 17, 1614479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b - 43 = -5*w, 3*w + 752 = -b + 768 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -5222, 0.2, 3\/5, -5?\nAnswer: -5222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 + (7 - 31) + (6 + -3 - 7 - 1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -7*w. Let v(z) = -5*z - z - 1022 + 6*z + 7*z + 1036. Give v(a(l)).\nAnswer: -49*l + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.44 + -0.74. What is the third biggest value in t, -1\/2, 3\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17758 divided by 8879?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.2869 or 955\/3?\nAnswer: 955\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v*v**(-2\/3)*v**6)\/(v**(2\/5))**(-3))\/(v**(1\/2)*v*v**(-2\/11)*v*v**(-2\/13)*v*v**(-3)) assuming v is positive.\nAnswer: v**(35903\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 13523600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 446 + -446. Solve x = -8*t - 21 - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 47921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -148 times 1706252?\nAnswer: -252525296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 307724 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/5, 1282, 5?\nAnswer: 1282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 546236.\nAnswer: 546232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2224, -4429, -6634, -8839?\nAnswer: -11044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the second derivative of -89\/6*c**3 + 0*c**2 - 5*c + 13\/4*c**4 - 13 - 1\/21*c**7 + 0*c**6 + 0*c**5. Find the second derivative of v(i) wrt i.\nAnswer: -40*i**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 - -4. Let c be 4\/(-2) + 7\/w. Suppose -c*u = 5*n + 265015, 183000 = -5*u - 2*n - 82006. What is u rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -3*l + 4. Suppose 0 = 17*y - 14*y + 27. What is z(y)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 2780, 11051, 24802, 44027, 68720, 98875, 134486, 175547?\n\"Answer: -h**3 + 2746*h**2 + 40*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 41\/6406 or 1?\nAnswer: 41\/6406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1 - 7) + 3276\/216 + -7. Which is the smallest value? (a) 1 (b) k (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(700)*-1 - -3*1*sqrt(700))*-6 - (-3 + 6*(sqrt(700) + (2*sqrt(700) + -3 + sqrt(700) - sqrt(700)))))**2.\nAnswer: -17640*sqrt(7) + 1235241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 44060452 (base 8) to base 9\nAnswer: 18721447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -115 + 66. Let o = d + 49. What is the smallest value in 19, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 w and 1 c when four letters picked without replacement from {w: 4, s: 8, c: 1}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the first derivative of -1\/4*j**4 + 0*j - 5 - 1\/2*j**2 + 2\/3*j**3. Determine n so that o(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 50413604 - 5?\nAnswer: 50413577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4061*n*s - 4*n + 55 with respect to s.\nAnswer: -4061*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-13)\/(((-75)\/300)\/(6\/156)). Let 20*z - 4*z**4 + 1\/3*z**5 - 56\/3 + 38\/3*z**c - 31\/3*z**3 = 0. What is z?\nAnswer: -2, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h**5 - 160*h**4 - 1560*h**3 - 3200*h**2 + 14000*h = 0 for h.\nAnswer: -14, -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -53*s**2. Let k(a) = 10*a + 9. Let z(m) = 2*m + 3. Let j(w) = -k(w) + 3*z(w). Calculate v(j(h)).\nAnswer: -848*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is (((-222)\/4 - -3) + 4)*-14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vppmpmpbmvmmpvp. Give prob of picking 2 p and 1 v.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -2*x + 1. Suppose -2*b - 12 = -8*b. Suppose -a = -3*f - 2, -3*f - 3*a - 4 = -b*f. Give q(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 25497 and 6.\nAnswer: 50994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -3416, -3422, -3428?\n\"Answer: -6*d - 3410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 227670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3 - 20\/(-1)) + -1. Suppose 0 = 4*g - 4 - s. Solve 17 = -5*n + 4*z, -3*z - 2*z - 35 = g*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 29*t**3 + 11*t**2 - 57*t + 30. Let q(x) = 7*x**3 + 3*x**2 - 15*x + 8. Determine 4*a(w) - 15*q(w).\nAnswer: 11*w**3 - w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z + 32 - 12 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4542875 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 5*t = -6, -t - 3*t = 4*m + 8. Let o be (-7318)\/(-412) - (-4 - m). Let n = -5\/412 + o. Calculate the common denominator of n and -119\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -37947469*d - 64105756?\nAnswer: -37947469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 2474*b**2 + 0 - 63*b**2 - 2 + 2003*b**2 + 6619*b**2 as r*b**2 + v + l*b and give r.\nAnswer: 11033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 1580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2140 + 16362?\nAnswer: 14222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 6090112 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 54755677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1465*s - 1465*s + 3*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one halves of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1\/10 (b) 0.3 (c) 3 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 4*d**2 + 2*d + 12. Let p be r(6). Suppose 2*i - p = -4*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:26 PM and 12:56 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v and 1 q when three letters picked without replacement from {v: 8, l: 4, q: 5}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -275*p = 902 + 198. Sort -635, -5, p, 5, 2 in decreasing order.\nAnswer: 5, 2, p, -5, -635","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 242, 486, 728, 968?\nAnswer: 1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be (12 + -3 + 2)\/1. Let q = 34 + b. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the third derivative of -7*j**8\/12 + 197*j**4\/24 + 137*j**2. Find the second derivative of g(d) wrt d.\nAnswer: -3920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -342*n = -385*n + 1548 for n.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 66 divide 38940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2230939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a = 2*a - 118. Let t = a + -71. Let x be ((-8)\/t)\/(3*2\/54). Let n(c) = c**3 - 7*c**2 + 5*c + 5. Calculate n(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -93 - -103. Suppose -5*g + 28 = y, 2*y - g - 4*g = -4. Calculate the least common multiple of k and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1612 - 1154. What are the prime factors of w?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 51\/(-30)*(-490)\/49. Which is bigger: 16 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 11*(38880\/264)\/(-54)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = -66 + 22. Suppose -m - 3*t + s = 0, 2*m - 6 - 13 = -t. Suppose 140 = -3*y + m*y. What is the remainder when y is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2299) + -3 + 2 - (sqrt(2299)*2 + 4))**2.\nAnswer: 110*sqrt(19) + 2324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 274 + -270. Let z be (102\/b)\/(10\/100). What is the greatest common divisor of 34 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 13020665 and 4092209.\nAnswer: 143227315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -79\/339378 and -107\/1170.\nAnswer: 5090670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 296426622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 24156925 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, 0.15, 1 in ascending order.\nAnswer: -0.2, 0.15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 31*b - 333. What is l(10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1900121, -1900096, -1900067, -1900034, -1899997, -1899956, -1899911?\nAnswer: -1899862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(48) + -1) + sqrt(12) + -5 + sqrt(3) + sqrt(48)*-2.\nAnswer: -9 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 118 - 117. Let y(z) = -z**2 - z + 2. Let a be y(-2). Suppose -5*x = -a*x - 40. Solve x = -3*r - v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7426?\nAnswer: 2, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 150 divided by -15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -1+0.928\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d**2 + 5*d - 7. Let k(z) = -z**3 - 4*z**2 - 2*z - 6. Let y be k(-4). Suppose 3*r = y*r - 6. Let n be v(r). Is n >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 82924337 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-164)\/(-22) + (5 + -6)*8?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {p: 2, a: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-25 - -7) + 5 + 17. Solve 0 = -2*j, 0 = 3*w + 5*j - 7 + x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 9\/15*(-1150)\/(-175)*21\/18. Suppose 0 = n + 3*l - 10 - 11, 25 = 5*l. Do m and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10518, -21384, -32922, -45462, -59334?\nAnswer: -74868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = 3*m. Suppose 0 = 3*r + 5*c + 21, 0*r - c = r + 5. Sort -1, r, m.\nAnswer: r, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2 - 1)*(1 + 78*j**2 - 35408*j**3 + 35112*j**3 - 79*j**2).\nAnswer: -592*j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 240 + -235. Solve r*b + 8 = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*c + k - 889601 = -5*c, 0 = -5*c - 5*k - 1111995. What is c rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -750082 - 1?\nAnswer: -750083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-39)\/36)\/((-13650)\/128100))\/((-1)\/(-6)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -27295, -28132, -28969, -29806?\n\"Answer: -837*d - 26458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1245 in -35\/12, -12, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the first derivative of 853*h**5\/5 - h**2\/2 + 333*h - 4681. Find the second derivative of f(q) wrt q.\nAnswer: 10236*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q\/(q\/(q*q\/(q\/(q*(q\/(q\/(q\/(q\/(q*q**(-2)*q)*q)))*q)\/q)))*q)))**(-1\/63)*(q**(1\/2)*q*q)**(-47) assuming q is positive.\nAnswer: q**(-14807\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the third derivative of -f**6\/120 + f**5\/20 + 31*f**2. Solve y(d) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z**(2\/9))**32)**(15\/4))**(-1\/29) assuming z is positive.\nAnswer: z**(-80\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (d + 0 + 0)*(-1 + 19 - 5) + (3 + 2 - 3)*(30*d - 17*d + 29*d + 42*d).\nAnswer: 181*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 2 = -4. Suppose d*w + 5*r - 89 = 434, -4*w = 5*r - 1051. Suppose w = 6*t - 5*t + x, 2*x = -4*t + 1054. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2770178*w**3 + 2561217*w**2 + 2.\nAnswer: 16621068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1050*s**2 - 1135*s**2 + 2181*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 6*l. Let v = 17 - 14. Suppose -5*u + 3*w + 95 = 0, w + 79 = 4*u - 2*w. Suppose 4*f - u = -5*g, -2*f + v = -f + g. Calculate q(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -130322120 - -12220?\nAnswer: -130303300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eeso when four letters picked without replacement from deoosfodsdoedooeo.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 45 (base 11) to base 16\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 67589\/705 at least as big as 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1490bae - 4?\nAnswer: -1490bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -24 - -51. Suppose -v = -2*y + 17. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(104) + (sqrt(104)*-2 - sqrt(104))*3)\/(sqrt(72)*3) - (sqrt(156)*2*-1)\/(sqrt(12) + sqrt(36)\/sqrt(3)*-4))**2.\nAnswer: 2548\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 3, z: 3}. What is prob of picking 2 t and 2 z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 157149 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -11*b**2 - 20*b + 2. Let s be g(-1). Solve -s*p + 8 + 47 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -654*q + 2854 = -1841 - 1670 - 175 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*f - 9*f - 34 - f to the form i + q*f and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u**2 - 3*u. Let t be s(-3). Let j = -10 - -5. Which is the closest to t? (a) -1 (b) j (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 40\/21 + -562\/273. Put -2, -1, r in ascending order.\nAnswer: -2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 20, 12, -8, -46, -108, -200, -328?\n\"Answer: -x**3 - x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 3, n: 7, o: 4, e: 1, c: 2}. Give prob of picking 1 w and 3 o.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16 - 8 + 5*v**3 + 24.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply 46 and 272.\nAnswer: 12512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 9701*z**3 - 897*z - 945*z**2 + 56*z + 1900 - 119*z - 9696*z**3.\nAnswer: 5*(z - 190)*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by -77987535?\nAnswer: 4\/77987535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 3*k - 5*f - 6, -2*k + 5*f + 7 = 0. Which is the nearest to k? (a) -0.3 (b) -1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 3*z. Let v(i) be the second derivative of -i + 0*i**3 + 0*i**2 + 0 - 1\/4*i**4. Give y(v(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g be 423\/36 - 2\/(-8). Let i be (4\/(-40))\/(3\/g). Let b = -44 - -529\/12. What is the nearest to i in b, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -24341.19 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 848 and 6678?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*q + 4 = -18. Suppose 4*v = 5*w - 2, -4*w + 6*v - v - 2 = 0. Solve -w*l + q = -8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1011895401 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 29 - 3098*x**2 - 3107*x**2 - 2*x + 24 + 6185*x**2 wrt x.\nAnswer: -40*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x, 1 l, and 1 v when four letters picked without replacement from {q: 3, y: 4, x: 5, t: 1, l: 1, v: 1}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -110000000111 + -100?\nAnswer: -110000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 12150 - 11988. Calculate the remainder when 459 is divided by y.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/7 in -46, -0.01, 0.9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*q + 4*s - 4, 3*s + 2*s - 14 = -2*q. Let g(w) = -2*w**2 + 6*w**2 - 3*w**q. Let m(y) = -2*y. Give m(g(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**2 - 50*c - 264. Let h be f(-6). Solve 4*i + 21 = 2*i - 5*z, h = -6*i - 5*z - 33 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 9, 1, -11 in decreasing order.\nAnswer: 9, 1, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(252) - (sqrt(252) + -2)**2*-1 - (3*sqrt(252) + 2)**2) + 1)*-6.\nAnswer: 540*sqrt(7) + 12090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -34\/859 and -57\/2690.\nAnswer: 2310710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4\/(-6)*12\/8. Let n be 6\/2 + 3 + -5. Suppose 4*j + 6 = -2*k, -5 + 1 = -4*k - 4*j. Put t, n, k in descending order.\nAnswer: k, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1, 4, 3, -8, -35, -84, -161?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes after 8:42 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w\/(w\/(w*w\/(w\/(w*w\/(w**(5\/2)\/w)*w)))*w)*w**(-4\/7))**(-1\/2) assuming w is positive.\nAnswer: w**(-27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 191869*j**5 - 3*j**4 + 3*j**3 - 337*j + 11707.\nAnswer: 3837380*j**3 - 36*j**2 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = 4*h + 4*w, -4*w + 13 = 5*h - 31. Let u = 17 - h. Suppose 2*c - 33 = -0*c - u*j, -3*c + 5*j = -87. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 26 (b) -4 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(162)*2)**2 + sqrt(162).\nAnswer: -135*sqrt(2) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -92573582?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -34*s - 183. List the prime factors of a(-35).\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 597 minutes before 10:01 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 312*j**2 + 7*j - 18. Let w(n) = -223*n**2 - 5*n + 13. Let v(g) = 5*h(g) + 7*w(g). Let q(s) = -53*s. Give q(v(a)).\nAnswer: 53*a**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 692 is divided by 660\/(15 - 11) + 12.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, 16664, -0.4?\nAnswer: 16664","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u**2 + 12*u + 8. Is z(-19) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t - 14*t - 16*t)*(8 - 8 - 9*t).\nAnswer: 297*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 114, 510, 1174, 2112, 3330?\nAnswer: 4834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 33\/74920 and 97\/33714.\nAnswer: 674280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-49)\/8 - (9\/(-3) - 3)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the third derivative of -s**4\/4 - 5*s**3\/6 - s**2. Suppose -4*u + 5*v - 36 = 0, u + 3 = -v - 6. Calculate the remainder when m(u) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/(-9) + 0 - 40\/15. Let p be (-10)\/(-60) + (-1)\/i. What is the nearest to p in 5\/7, -0.4, -0.2?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:28 PM and 12:23 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-6)\/(-9)*(11 + -8). Let o(x) be the third derivative of -2*x**c - 5\/24*x**4 - 1\/3*x**3 + 0 + 0*x. What is o(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -576384, -2305621, -5187658, -9222477, -14410060, -20750389, -28243446, -36889213?\nAnswer: -46687672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 32 times -1.583\nAnswer: -50.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k**(-1))\/k)**(2\/9)\/(k**(-11)*k**(-1\/6)) assuming k is positive.\nAnswer: k**(197\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -3*u + 5. Let m(j) = 2*j - 3. Let q(p) = 3*b(p) + 5*m(p). Let h(o) = 13*o. What is h(q(f))?\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 12829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (sqrt(143)*-3*-6)\/(5*sqrt(55)\/sqrt(5)) + 2)**2.\nAnswer: -108*sqrt(13)\/5 + 4437\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -929 = 139*p + 32*p - 245 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 4*s + 199. Determine j(-55).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 3*b**3 - 181*b**2 + 7*b + 3195. Give t(60).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 161317588 or 161317589?\nAnswer: 161317589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 287 a factor of 272363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -111 + 100011?\nAnswer: 22200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 3*a - 34 = 0, 4*a = a - 9. Find the second derivative of -1960*h**4 - 34*h**z + 13*h + 1960*h**4 wrt h.\nAnswer: -680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 2, p: 3, y: 4, j: 7, r: 3}. What is prob of sequence jrmr?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3221504*b + 1874655 with respect to b.\nAnswer: -3221504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*x**2 - 16 + 2*x**3 - 32*x + 2*x**3 + 3*x**3 + 4*x**4 + x**3 = 0. What is x?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in 0.2, 6, -3, 1.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4\/511 - 15797\/5621. Let q(p) = -p**2 - 6*p + 1. Let w be q(-5). Find the common denominator of y and (17\/16)\/(w\/(-24)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1000 - 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.011 times 0.05826807?\nAnswer: 0.00064094877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -24, 6, 16, 0, 44.\nAnswer: -24, 0, 6, 16, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 5*m = 40, 2*o = 2*m - 8 + 4. Solve -2*g - 7*l = -8*l - o, -3*g - 2*l = -1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -84 + 171 - 67 - 22 - 75 + 7*h**2 to the form y + l*h + v*h**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aapjwaeaa. Give prob of picking 1 e and 1 w.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -3077.4 * 0.4\nAnswer: -1230.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 341729 is divided by 129?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -6.10857839 to 4 decimal places.\nAnswer: -6.1086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 + 0)*11\/(-55)*-65.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2180554, 8722235, 19625040, 34888969?\nAnswer: 54514022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -3*k**2 - 2*k - 5. Let u be d(4). Let q = u + 63. Suppose -5*s + 355 = i, s = q*s - i - 71. Is 45 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = 5*a - 2*r - 31, 0 = 3*a - 13*r - 13 - 61 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10 - 4. Let d = s + 16. Solve -6 = d*n - 0*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*x = -3*x + 30. Suppose 0 = x*t + 3*j + 168313 - 763798, -4*j = 20. What is t rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) be the third derivative of 39*l**8\/392 - 124*l**7\/245 + 37*l**6\/105 + 211*l**5\/105 - 265*l**4\/84 - 50*l**3\/21 + 114*l**2 - 5*l. What is b in y(b) = 0?\nAnswer: -1, -2\/13, 1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i + 7*g + 30 = 0, -5*g + 110 - 135 = 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -13*w**3 + 5*w**2 + 7*w. Let d(n) = -38*n**3 + 14*n**2 + 20*n. Give 5*d(g) - 14*f(g).\nAnswer: -8*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*x**5 - 85*x**4 + x**2 - 11316*x wrt x.\nAnswer: -40*x**3 - 1020*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*r + 5504 - 5312 = 0 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-2)\/10)\/((-3)\/885). Suppose -5*c + b - 9 = 5*q, -3*c + 9 = 0. What is the remainder when (-1 - 0)\/((-1)\/40) is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 596 by -3.\nAnswer: -596\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the first derivative of -t**7\/840 - t**6\/360 - t**5\/60 + t**4\/12 - 5*t**3\/3 + 2. Let l(w) be the third derivative of p(w). Does 6 divide l(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 15 (b) -4 (c) 13 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 28 = -5*u, -2*j + 2*u = -3*u + 11. Let w = -107 - -103. Sort j, 5, w in decreasing order.\nAnswer: 5, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 s when two letters picked without replacement from {n: 1, w: 1, v: 3, s: 5}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4841 = 14*r - 39*r + 16984. List the prime factors of r.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1108429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 16*x + 8*x - 2592. What is the smallest common multiple of 21 and x?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/(-7) + (-266)\/(-49))\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r**4 + 5082*r**3 + 5815940*r**2 - 1680206856*r - 35890017120 = 0. Calculate r.\nAnswer: -2658, -20, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 507040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3516 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u**2 + 13. Determine i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -215 (base 6) to base 15\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 19*q + 21. What are the prime factors of i(5)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15116 + -0.3.\nAnswer: 15115.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**3 + l**2 + 15*l - 17. What is q(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 297 = 4*u + 1109. Let o = u - -203. Solve -4*d = -o*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 77\/163699 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.04 - 1.74. Let l = 6.3 - c. Let b = l - 8.048. Round b to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -h**3 + 7*h**2 + 45*h + 8. Let w be p(-4). Solve 2*b = 4*m + w + 2, 3*m = 4*b - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**3 - 2*y**2 + y - 2. Is k(-4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*v + 4*n, 0*n + 32 = 4*v + 4*n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -14*s**2 - 1114*s + 2803. Let z be m(-82). Let a(f) = f + 1. Let d be 2\/4 - (-10)\/4. Let c be a(d). Solve -t + z = -c*t, -2*k = t + 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 327640934 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the second derivative of 5*l**3\/6 + 7*l**2\/2 + 2*l. Let u be (246\/18 - 7)*(-3)\/(-5). Let h(n) = -3*n - 4. Determine u*j(p) + 7*h(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-493 + 37)\/(-1 - -2). Let y = 490 + n. What is the remainder when 201 is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -110? (a) -0.5 (b) -99.34 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 692 minutes after 1:41 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -32 + 32 + 4*a + 9*a**3 - 2 - 9 + 3*a**2 in the form y*a**3 + g*a**2 + d*a + v and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 444 minutes after 6:05 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.626 - 0.074. Let n = m + 1.5. What is the smallest value in -1, -3\/5, n, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -54, -14, 15, -4 in ascending order.\nAnswer: -54, -14, -4, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -16*d**2. Let m(x) = 5*x**2 + 3 - 3846*x + 3846*x - 3. What is m(h(k))?\nAnswer: 1280*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide (456\/190)\/(((-27)\/(-3765))\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + 2 + 3 + -5 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -13174 + 13176. Solve -3*d + 3*j = -6, -8*d = -12*d - 2*j + v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10496 is divided by 143?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = -10843939\/1386 + 86116\/11. Let k = -25\/18 + p. Factor -15\/7*f**3 + 3\/7*f**5 - 3\/7*f**4 + 12\/7 + k*f + 3\/7*f**2.\nAnswer: 3*(f - 2)**2*(f + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 18*(16\/4)\/12. Solve q + u = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 398206 is divided by 348.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Is 86399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12 - -12. Suppose h = -j - 6 + 1. Let b(s) = -7*s - 4*s**2 + 2*s**2 + s**2 - 6. What is b(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.4 * 0.052.\nAnswer: -0.0728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-21)\/(-147) - (-40)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-36)\/(-20) + 9\/(-30).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 15 - (8 + -10) - 25?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 74121634?\nAnswer: 2, 131, 282907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - 10, -2*j + 25 + 0 = -5*n. Let g = 28.5 + -29. Which is the closest to n? (a) -2\/3 (b) -0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -29\/16432 and -11\/3264?\nAnswer: 3352128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*k**2 + 12*k + 192 + k**2 + 7*k - 20*k to b*k + s*k**2 + u and give u.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-35*t - 39*t + 86*t)*(-1 - 3 + 0).\nAnswer: -48*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - -7) + -4 + (-7 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -21395, -16, -3.\nAnswer: -21395, -16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -2\/9, -1047.69 in ascending order.\nAnswer: -1047.69, -2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 491*r**2 + 9*r + 15. Is y(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-94 + 48 + 98)*(2*m**3 + 5*m - 5*m) - m**3 + 11*m**3 - 4*m**3 to the form w + f*m**2 + v*m**3 + c*m and give v.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 2*r + 276 = 0, -341 + 65 = -2*h - 4*r. Let z be -1*(h - 1 - -2). Let p = z + 202. What is the remainder when p is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u**3 + 33*u**2 - 93*u + 563. Determine g(-36).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 40038074*j*v**2 - 6585*j*v + 8*v + 12 wrt v?\nAnswer: 80076148*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 6886*t**2. Let m(k) = 409*k. Give c(m(f)).\nAnswer: 1151896966*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 241, 492, 745, 1000, 1257, 1516?\nAnswer: 1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = f**3 - 11*f**2 + 4*f - 16. Is p(11) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 14 - -10011232341?\nAnswer: 10011232410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-16)\/(-6))\/(4\/6). Let v be 2\/5 + (-140)\/(-25). Suppose v*q - 2*q + 16 = 0. Put s, q, -3 in ascending order.\nAnswer: q, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 + 6 + -3 + 6 - 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -779*9.424\nAnswer: -7341.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -32 at most as big as -690126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 + 2. Suppose -2*j + 8 = j + 4*k, 1 = -k. Suppose -164 = -4*m + j*g, -7*m = -4*m - y*g - 127. Calculate the remainder when m is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -6359 (b) -0.5 (c) -10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0.09 + -964.654352\nAnswer: -964.564352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4617 is divided by 154.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -7383664 - -4?\nAnswer: -7383660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7 - 6) + (-2 - -1) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 867, 822, 779, 738, 699, 662?\n\"Answer: i**2 - 48*i + 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.07 (b) 4 (c) 3\/8 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 178863358 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = -33 + 17. Let r be (7 + -2 - 4)\/((-2)\/v). Calculate the greatest common divisor of r and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 144316 and 104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -0.3, 4\/3, -1 in decreasing order.\nAnswer: 4\/3, 1, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12111 + -22?\nAnswer: -12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 1646*h**2 - 4801*h - 32. Let l(w) = -3291*w**2 + 9604*w + 56. Let d(z) = -4*l(z) - 7*q(z). Find the second derivative of d(k) wrt k.\nAnswer: 3284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l + 10. Let m be c(-9). Suppose -3*z = -13 + m. Suppose 16 = z*n - 0*n - 4*a, -7 = 2*n + 3*a. Put -1, -3, n in ascending order.\nAnswer: -3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -5 (b) 0.069437 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 98641033 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 16, 7, -2, -42.61, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*y - 8*y - y**2)*(3*y**2 - 2*y**3 - 3*y**2) + 6*y**5 - 3*y**5 - y**5 + (8 + y - 8)*(2 - 2 + 2*y**4).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 869.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ccccvukpkkfcpp. What is prob of picking 2 k, 1 c, and 1 p?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2890 + 2987. Let l = -62 - 35.2. Let i = m + l. Which is the nearest to 0? (a) 3 (b) -0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37 = k - 31. What is the highest common divisor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -4\/9 (b) -2 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + i + 471 = -0*i, 5*c = -3*i + 610. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/(-35) - (54\/56)\/9.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 33379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**3 + 17*c**2 - 31*c + 107. What is s(11)?\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2347\/38122 or -1?\nAnswer: -2347\/38122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 6858097099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -13, -118, -229, -346, -469?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-99 - -95) + 12 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:52 AM and 7:36 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 343124352 (base 6) to base 16.\nAnswer: 60482c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -3*h. Let r be (-52)\/(-12)*12\/(3 - -1). Let x(m) = m - r*m + m. What is x(p(s))?\nAnswer: 33*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7446145 is divided by 496409.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*2*-6*(2 + 0 + sqrt(208)).\nAnswer: -240*sqrt(13) - 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -2*w**2. Let c(i) = 3*i**2 + 61*i. Calculate c(t(j)).\nAnswer: 12*j**4 - 122*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14363440.\nAnswer: 2, 5, 7, 13, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -168 = -5*i - 7*i. Suppose -i*v + 1152 = 4*v. Calculate the remainder when 765 is divided by v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 37\/1504 and 13\/188?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 54*(-11)\/22*1\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = c - 4*m + 214 - 167, 2*c - 194 = -16*m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 467*s**2 - s**3 + 339*s**2 - 665*s**2 + 1 as j + v*s**2 + r*s**3 + c*s and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 2*t**2 + 199. Let r(n) = -2*n. Give r(p(v)).\nAnswer: -4*v**2 - 398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 3180*k - 124. What are the prime factors of h(3)?\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 14267.448362 to the nearest 10.\nAnswer: 14270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11*d**3 + 2 - 197*d**2 - 59*d**3 + 194*d**2)*(2 - 2 + 1).\nAnswer: -70*d**3 - 3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) be the first derivative of d**5\/10 + d**4\/12 + d**3\/6 + d**2\/2 - 2*d - 3. Let t(u) be the first derivative of o(u). Is t(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 95209 divided by 2.\nAnswer: 95209\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/(-2))\/((3692\/568)\/((-12)\/(-8)))?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 134 = 23*w + 19. Find the second derivative of 169*i**2 - 218*i**5 + 2 - 169*i**2 + 40*i - 11*i + 33*i**w wrt i.\nAnswer: -3700*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 689652?\nAnswer: 2, 3, 19157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.5 + 0. Let z = -19\/5 + 37\/15. What is the closest to 0 in s, z, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*t**2 + 5*t**2 - 2*t + 2*t)*(2*t**2 - 3*t**2 + 2*t**2)*(131*t - 288*t + 120*t).\nAnswer: -37*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-9)\/r*r)\/(r*r\/r**(-10)*r))**(4\/5)\/((r**1\/(r**(-1\/5)\/r))\/(r*r**(4\/9)*r\/((r*r**(-6))\/r))) assuming r is positive.\nAnswer: r**(-511\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, h: 3, v: 2, e: 2, u: 6}. Give prob of sequence hj.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 356 + -356. Find the third derivative of -8*c**5 + 8*c**5 - 2*c**5 + n - 149*c**2 - 14*c**4 - 1 wrt c.\nAnswer: -120*c**2 - 336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nr when two letters picked without replacement from nnruv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 339601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -1211021 (base 4) to base 13.\nAnswer: -2c3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 138056827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(171)*2 - sqrt(171)))\/(sqrt(144) + sqrt(144) + sqrt(144) + (sqrt(144) - 1*sqrt(144)) + sqrt(144)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve a**4 + 354*a**3 + 4124*a**2 + 6744*a - 32832 = 0.\nAnswer: -342, -8, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.3 + 0.6. Suppose 2*f + 2 = 6. Let k = -5355\/61847 - 1\/2689. What is the nearest to 0.2 in f, q, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 2*h = -7*y + 13, 4*y + 2*h = 12. Let a be (1 + -1 - y)\/1 + 73. Suppose a*x = 70*x. Solve 2 = u - x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -144 - -577\/4. Which is bigger: 14 or k?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1409898 times -1?\nAnswer: -1409898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 134659 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 3100230 (base 5) in base 7?\nAnswer: 265651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 753*i**3 + 786138*i**2 + 205186716*i + 1634904.\nAnswer: 3*(i + 522)**2*(251*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jyj when three letters picked without replacement from jyjyyj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.0374 + 40.4374. Let f = 64 - 18. Let w = u - f. Round w to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(2*((2*sqrt(51))\/sqrt(3) + (sqrt(425) + 0)**2) - 6*(-3*(sqrt(51)\/sqrt(3))**2 + 5))*-4.\nAnswer: 16*sqrt(17) + 4504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 200788172?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tmu when three letters picked without replacement from {t: 1, j: 1, u: 8, m: 1}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h\/(h**(-7)\/h))\/h**(-6)*h*(h*h**7*h)\/h*h*h*(((h*h**(-1\/3)\/h)\/h)\/h)\/h assuming h is positive.\nAnswer: h**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = m**3 + 11*m**2 + 20*m + 13. Let a be h(-9). Put a, 0, 3 in decreasing order.\nAnswer: 3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, -0.2, 0.017, -5, 0.2 in descending order.\nAnswer: 0.5, 0.2, 0.017, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6453562cm in kilometers?\nAnswer: 0.000006453562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -1. Let z(s) be the second derivative of s**4\/12 - s**2\/2 + 3*s. Let a(w) = 2*x(w) - 2*z(w). Let n(g) = g**2. Calculate a(n(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v + 12, -26 = -4*p - 4*v + 6*v. Which is bigger: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -16 - 0 - (-67 - -62)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 2 - (3 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 5*l - 0*l. Let o be ((-2)\/10)\/((-5)\/25). Let u(w) = -o - w + w**2 - 1 + 3 - 2. Let f(d) = d**3 - 5*d**2 + 4*d + 4. Give l*f(z) - 4*u(z).\nAnswer: -z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.2213691l?\nAnswer: 221.3691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 81 a factor of 22625789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m**5\/3 + 7402*m**4\/3 - 570796*m**3\/3 + 4159452*m**2 - 20086290*m + 27760950 = 0. What is m?\nAnswer: -3777, 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w and 2 l when four letters picked without replacement from wwlwmmmwlmllwmlwllm.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -48, -4\/7, -0.4, -14, 10 in ascending order.\nAnswer: -48, -14, -4\/7, -0.4, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*q + 3*q - 2*q + 2*q**2 to k*q + w + n*q**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-180)\/(-72))\/((-7)\/14). Sort g, 0, -1, 3, 2.\nAnswer: g, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -145 smaller than -189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 36, 68, 118, 186?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 10*i**2 + 3*i + 4. Let o be u(3). Let l be (-2)\/3 - 267\/(-9). Suppose 4*q = l + o. What is the greatest common divisor of q and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 277 minutes before 7:27 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that -2*i**4 - 64*i**3 + 538*i**2 - 336*i - 936 = 0.\nAnswer: -39, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 19 plus 6149911.6?\nAnswer: 6149930.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 69, -655, -2657, -6567, -13015, -22631, -36045?\nAnswer: -53887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -294 divided by -6?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 650926*h - 224119*h + 536554*h.\nAnswer: 963361*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 2*c**2 - 1. Let g(k) = 4375*k**2 - 250. What is -g(a) + 250*j(a)?\nAnswer: -3875*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:28 PM and 9:49 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 2, 7, 5 in decreasing order.\nAnswer: 7, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -18 or -53\/3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s + 6696 = -2*a + 6698, 3*a = 5*s + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lllvvll. What is prob of picking 2 l?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minutes before 6:42 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 614 - 618.6. Let r = -1.6 - y. Let f = 11 + -21\/2. Which is the fourth smallest value? (a) -4 (b) r (c) 1\/7 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 - 6)\/(11\/(-77)). Let h = o - 33. Suppose 5*b = -4*n + 1331, h = 5*b + 1. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -83 - -87. What is the remainder when 22 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 4.7268841 to two dps.\nAnswer: 4.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5 + 4. What is the remainder when ((-8)\/(-10))\/((-2)\/(-65)) is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-10)\/35 - ((-88)\/14 + -2). Let g(n) = n**3 - 9*n**2 + 18*n - 45. What is the lowest common multiple of 42 and g(p)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2 + 30353*i + 121396.\nAnswer: (i + 4)*(i + 30349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -69*v - 8*v**3 + 69*v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -6*c**2 + 3*c + 4. What is y(3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 512 - 6026?\nAnswer: -5514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3 (b) 644 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sum -37.1613 and 5899676.\nAnswer: 5899638.8387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -3*d**3 + 7*d - 21. Calculate x(6).\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3447639.\nAnswer: 3, 13, 79, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*z - 91 - 74. Let n = 15 + z. Suppose -5*s + 344 + 256 = n. Calculate the remainder when s is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -108 * -292927\nAnswer: 31636116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -9259474 bigger than -9259482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f**3 - 5*f**2 - f + 6. Calculate v(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 150 = 2*v + v. Suppose 0 = -3*i + i + v. What is the remainder when i is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000003167 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 o, and 2 x when four letters picked without replacement from {o: 8, x: 8, k: 2}?\nAnswer: 112\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -232*h**2*i**3 + 3*h**2 + 239*h*i**2 - 2139*h - 1 wrt i.\nAnswer: -696*h**2*i**2 + 478*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1089 and 339656?\nAnswer: -369885384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10399 - -3689. Round u to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 5*b - 24. Calculate the least common multiple of 8 and d(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1 - 0)*(-45)\/9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = i. Let l(t) be the third derivative of 0*t**3 + 60*t**2 + 0*t - 11\/10*t**5 + 0*t**4 + 0. Determine l(r(s)).\nAnswer: -66*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -7*h. Let i(u) = -4332*u. What is s(i(w))?\nAnswer: 30324*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 7690, -4, -567, -3, 3 in decreasing order.\nAnswer: 7690, 3, 0, -3, -4, -567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9 + 12. Suppose -3*n + 4*d = -4*n - 16, g*n + d = -4. Solve n = -4*c + 9*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -7999999*y - 1. Let j(q) = q - 1. Let v(z) = -3*j(z) - r(z). Suppose 3 = o + 2*o. Let f be v(o). Round f to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 27314, 54635, 81962, 109301, 136658?\nAnswer: 164039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 471859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -24886 + 24886. What is the closest to l in -7, -2\/17, 444?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17271006 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -158*w**3 - 94157*w + 94157*w - 6*w**2.\nAnswer: -158*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 176298 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is i in -585*i**3 + 2762945*i**2 + 47230*i = 0?\nAnswer: -2\/117, 0, 4723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -15*u**4 - 9*u**3 + 44*u**2 - 3*u wrt u.\nAnswer: -360*u - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 0.01, -0.1, 3, -1\/108 in increasing order.\nAnswer: -0.1, -1\/108, 0.01, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -1347*g = -1348*g - 3*l - 12, -4*l = -158*g + 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -215746*t**2 + 215746*t**2 + 5795*t**3 + 71*t**3.\nAnswer: 5866*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 3*o. Let d = -2 - -4. Let n = -107 + 118. Calculate the lowest common multiple of u(d) and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1668961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 3258035687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-23)\/n**(9\/2)*(n*n**(-1\/11)\/n*n)**(2\/7) assuming n is positive.\nAnswer: n**(-4195\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -754035, -3016130, -6786279, -12064482, -18850739?\n\"Answer: -754027*s**2 - 14*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -91 + -46. Let f = w - 5. Let x = 142.0000162 + f. What is x rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x + 180 - 196 = 2*i, -2*x + 5*i = -75 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 32441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 394 minutes before 7:21 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 5706172 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 113*k - 2472 = -777 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 2 - 11*n**2 - 1 + 10*n**2 + 3*n**3 - 2*n**2 + 2*n**2. Let k(x) = -x**3 + x**2 + x - 1. Determine -g(m) - k(m).\nAnswer: -2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7.2 - 3899950089.\nAnswer: -3899950081.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/21, -0.04462, -10\/77?\nAnswer: -10\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 216 and 45.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3602 + -3602.9935. Round g to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -19*r**2 + 25 + r**2 - 72*r**2 - 27*r**2 wrt r.\nAnswer: -234*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 59 - 57. Suppose -d = -k*n + 1, 5*n = -3*d + 9 + 10. Solve 0 = i + n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 20142 + -1?\nAnswer: 20141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -t + 58 = -3*d, 5*d + 349*t - 346*t = -78 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -244117254 divided by 81372418.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -3*b**3 + 272*b**2 + 140*b - 4518. Calculate w(91).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -k**2 + 13*k + 10. Suppose -2*t + 4*q - 4 = -5*t, -2 = 5*t - 2*q. Let j be 14 + t + (-3 - 1). Is w(j) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -7*n**5*q - 60*n**3*q**2 + 2*n**2*q + 176*q**2 wrt n?\nAnswer: -420*n**2*q - 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from effeef. What is prob of sequence fe?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 203 and 18067.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*u**2 + 28*u + 0*u + 4*u + 7*u.\nAnswer: 3*u**2 + 39*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the second derivative of 15\/2*z**3 + 107*z - 97\/2*z**2 + 0. What is the derivative of l(j) wrt j?\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.1905 - 120.4905. Let f = 133 + j. What is f rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 3740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -580*b - 12175. Calculate h(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 83 - 120. Let u = 90 + q. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 8459*y - 21*y**2 - 16*y**2 + 39*y**2.\nAnswer: 2*y**2 - 8459*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 419705?\nAnswer: 5, 11, 13, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = c**3 - 5*c**2 + 7*c - 6. Let k be w(4). Solve 5*h = s + 17, -3*s = h + 3*h - k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-37*w + 58*w + 63*w)*(-w**3 + w**3 - 2*w**3 + (-3 + 3 + 2*w**2)*(3*w + 0*w - w)) as c*w + f + s*w**3 + r*w**2 + g*w**4 and give g.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gskiiikisz. Give prob of sequence sik.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 445 - 448.94. Let w = z - 0.06. Which is the third smallest value? (a) -1 (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/(-20) + (2 - 123\/15). Let j be (-89500002)\/(-5) - u\/(-15). Round j to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -113\/30377028 and -91\/81222.\nAnswer: 30377028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose q**3\/6 - 505*q**2\/2 + 5025*q\/2 - 37625\/6 = 0. Calculate q.\nAnswer: 5, 1505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i**5\/2 + 7*i**4 + 5*i**3\/2 - 35*i**2 - 2*i + 28 = 0. What is i?\nAnswer: -2, -1, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Multiply -8 and -86.935.\nAnswer: 695.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -8*s + 1. Let r(c) = 23*c - 3. Suppose -5*b - 182 = -4*f - 156, -3*b - 23 = 5*f. Determine b*r(k) - 17*t(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/12*50*(-38 - (-10176)\/265)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 240246672?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 789*k**4 - k + 2*k**5 + 84*k - 697*k**4 wrt k?\nAnswer: 40*k**3 + 1104*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*n = 2*y + 25*n + 17, -4*y = -3*n - 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 185 minutes after 10:11 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -6 + 8. Let p(u) = -3*u + q*u - 10 + 44 + u**3. Is 14 a factor of p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 115\/3 - 38. Suppose g = 2*g + 1, 3*z - 128 = -4*g. What is the common denominator of q and (-7)\/z*(-8 + 0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 73953551 bigger than 73953544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -947*c - 4. Let y(r) = -25*r + 1. Calculate b(w) - 6*y(w).\nAnswer: -797*w - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*-2*sqrt(2)*-6 + sqrt(2) + (sqrt(20)*-1)\/sqrt(10) + sqrt(32) + -1 + -6*3*(sqrt(16)\/sqrt(2)*2)\/sqrt(4))**2.\nAnswer: 40*sqrt(2) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 124 (base 12) to base 6\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l - 15 = c, 560*c - 562*c = 4*l + 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6 - -8. Suppose -p - l*p = -12. Sort -1, 2, p in descending order.\nAnswer: p, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -141000 to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = 3, 3*w + 7*v - 3*v - 2 = 0. Let n = 1784\/11 + -162. What is the nearest to w in n, -5, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6 + (1 - -1) + -2. Suppose 0 = -2*j + 608*a - 611*a + 61, -j - 3*a + 41 = 0. Solve j = t - r*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:34 PM and 3:41 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.0214 + 4.0214. Suppose 4*o + 53 = -4*m + 7*o, -4*o - 20 = 0. Let a = 135\/8 + m. Put -2, a, w in decreasing order.\nAnswer: w, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -55 + 2*o + 55 in the form d*o + y and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5343 + 5364. Solve -30*j - b = 39 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (5*g - 378 + 41 - 4*g)*(5 - 8*g - 5) in the form p*g**2 + l + r*g and give r.\nAnswer: 2696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7157*o - 610 = 7096*o. Suppose -3*y + 4 = 1. Suppose 0 = t - y - 1. Solve 0 = t*k - 0*k + o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(1458) - sqrt(1458))\/(sqrt(441)*1) + 4)**2.\nAnswer: 72*sqrt(2)\/7 + 946\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 692 minutes before 12:31 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*j**3 - 7*j**3 + 0*j**3 + 3*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 47 + 28*g**2 + 3*g - 62 - 5 wrt g.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 21 and 588?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -51*f**2 + 27*f + 30. Let p(c) = -3*c - 2. What is 9*p(w) + s(w)?\nAnswer: -51*w**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 64*x**2 + 1 to the form a*x**2 + y*x + l and give a.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = -952 + 957. Let o(p) be the first derivative of 0*p + 0*p**4 + 0*p**3 + 17\/5*p**n + 5*p**2 + 14. What is the second derivative of o(l) wrt l?\nAnswer: 204*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -6*d**3 - d + 1. Let j = 15 - 10. Suppose -4*n = -n + 5*y - 13, -j*y + 5 = -5*n. What is v(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 minus 4536?\nAnswer: -4535.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 5, -13, 11 in descending order.\nAnswer: 11, 5, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 41*c**4*z**3 + 2*c**3*z**3 - c**3*z**2 + 14*c**2*z**3 + 4*c**2*z**2 + 2*c**2 wrt c.\nAnswer: 984*c*z**3 + 12*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00117754 to six decimal places.\nAnswer: -0.001178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -4656, -6851, -10510, -15627, -22196, -30211, -39666?\n\"Answer: c**3 - 738*c**2 + 12*c - 3931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*a**5 - a**3 - 316*a + 1 wrt a?\nAnswer: 40*a**3 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 12 + -13 - (3 - (17 + (-4 - -3)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 23\/225 and 127\/60.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 28\/(16*(-27)\/(-216)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (13 + 3*t - 34 + 17)*(t**3 + 4*t**3 - 4*t**3).\nAnswer: 3*t**4 - 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 + -3. Calculate the least common multiple of 1 + 0 + 3 + -1 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 32\/5 and 101\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -442598 (base 11) to base 12.\nAnswer: -2a0792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 + 18519?\nAnswer: 18522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that 2*b**2\/3 - 18820*b\/3 + 18818\/3 = 0.\nAnswer: 1, 9409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 + (-26)\/(-4))*6\/3. Solve -3*x - v = -5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 + 3 - 6)*(2*f + 0*f + 0*f) + 360*f + 197*f + 467*f + 2*f - 4*f + 3*f + (-f + 4*f - 5*f)*(2 + 0 - 3) + 4 + f - 4 to the form h + z*f and give z.\nAnswer: 1030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that 357*t**3\/2 - 501*t**2\/2 + 78*t - 6 = 0.\nAnswer: 2\/17, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1034 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a - 148 = 34*g, -16 = a - 5540*g + 5541*g for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 21 = -j, 4*b - 13 = -4*j + 3*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -64 = -3*c - 96 + 74 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 8 (b) 0.1 (c) 2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4903 + 24882\/5. Let u = t + -71. Which is greater: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.13 + 8.87. Sort -4, -5, a.\nAnswer: -5, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (216\/42)\/(((-72)\/63)\/(-4))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3249 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 61 = -3. Let d = y - 10. Let n(r) = 23*r**2 - 1. What is the lowest common multiple of d and n(-1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -16*j**4 - 1 + 2*j**2 + 1012305*j**3 - 1012306*j**3 + 3*j - 5 to f + h*j + x*j**2 + u*j**4 + q*j**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = -59.43 + 1.43. Let o = w + 57.86. Let a = o + 0.139994. Round a to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 90 = 13*z. Suppose 3*c - z*c + 738 = 0. List the prime factors of c.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 6067.25437 to the nearest one hundred.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**3 + 8*y**2 - 3*y + 2. Let x be (-1 - 45\/(-6))*2. Suppose 1 = 2*f - x. List the prime factors of q(f).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.0167 - 0.4193. Let b = s - -0.43009. What is b rounded to four dps?\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 707 minutes after 3:09 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ecdecictceeicexcxce. What is prob of picking 1 x, 1 c, and 1 i?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(90)\/(sqrt(5)*1) + 3 + 0 + (sqrt(648) - (-2 + sqrt(648)))**2.\nAnswer: 3*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (0\/18)\/(1\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m - 5*m + 12. Suppose -86*s + 89*s - 21 = 0. Calculate the lowest common multiple of m and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-7)\/(14\/(-16))*(-2)\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -23*y + 28*y. Solve 11 + y = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -49, -60, -73, -88, -105?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -744*n + 113083. Determine o(152).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.51 - 1.61. Let y = 0.3 + -1.3. Which is the biggest value? (a) -5 (b) p (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 206158830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*i**3*p**5 + 12*i**3*p**2 + 2*i**3*p - 3*i**3 + 2*p wrt p.\nAnswer: -80*i**3*p**3 + 24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 98 - 221 + 80 + 23*r - 19*r**2 + r**3. Determine v(18).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = 3*b - 4, -4*b + 2*j + 2*j + 8 = 0. Suppose 0 = -b*c + 26 + 14. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = i**2 - 4*i - 31. What is o(5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2\/5, -1\/6, -28\/3, -2\/95?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 3*y**4 + 828*y**3 + 57132*y**2 = 0. Calculate y.\nAnswer: -138, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 - 2*m**4 + 3 + (-3*m**2 - m**2 + 5*m**2)*(-7*m**2 + 0*m**2 - 25*m**2) + 0*m**4 - 3*m**4 + 4*m**4 + (-2*m + m - m)*(2*m**3 + m**3 - 5*m**3).\nAnswer: -29*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(-3\/5)*n**(-4)\/n)\/(n**(-1)*n*n)**(-2\/59) assuming n is positive.\nAnswer: n**(-1347\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*p = 5*k + 6*p - 33, 0 = -2*p - 4. Solve -k*u = -u, 2 = -2*n + u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = o**3 + 7*o**2 - o + 7. What is g(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 56891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -18847796 equal to -18847798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 682*d - 2100*d + 720*d + 734*d.\nAnswer: 36*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y + 33 + 34 = 5*c + 117, -y = 3*c + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 3*q = -q + 132, 3*i + 5*q = 109. Let m be i\/(-20) - -1 - (-434)\/35. Calculate the greatest common divisor of 174 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 579 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the third derivative of k**5\/12 - k**4\/12 + 5*k**2. Let u(p) = -4*p**2 + 2*p + 1. Let r = -1702 - -1700. What is r*c(x) - 3*u(x)?\nAnswer: 2*x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13291*b - 14620*b - 3111*b - 22595*b.\nAnswer: -53617*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -8765*-234\nAnswer: 2051010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -1629 smaller than -3255\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1\/5, 30, 4, -0.3 in decreasing order.\nAnswer: 30, 4, -1\/5, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - f = 3124, -l + 2*l + 4*f - 1544 = 0. Suppose g - 5*x = 401, -g = -5*g - 2*x + l. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 0 - l + l**2 + 1 + 0*l**2. Let j(c) = c**3 + 13*c**2 + 3*c - 30. Calculate the remainder when t(4) is divided by j(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 6, j: 7}. Give prob of sequence jjb.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -14, -19, -38, -77, -142, -239, -374?\n\"Answer: -g**3 - g**2 + 5*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1*-5 - (252\/(-294))\/(3\/21). Is -22\/387 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 18 = 2. Let b(w) = 3*w**3 - w + 1. Let q be b(1). Suppose 2*h - 64 = -2*h + q*u, -m*u - 75 = -5*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/3*(12\/16 + 0). Factor t**3 + 0*t**2 + 0*t**4 - p*t**5 + 0 - 1\/2*t.\nAnswer: -t*(t - 1)**2*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1 and -1.396591?\nAnswer: 1.396591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d be -2*(0 + (-6)\/4). Let i = -24 + 12. Let w = 23 + i. Solve d*r = -w - 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4392 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 19, w: 1}. Give prob of picking 3 v.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*s + 10 - 17 + 7.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -129 (base 10) to base 5.\nAnswer: -1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3320 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 50787 not equal to 50737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 252, 1059, 2414, 4323, 6792, 9827, 13434?\n\"Answer: l**3 + 268*l**2 - 4*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35 + 19 + 20 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be (54\/(-24))\/(3\/(-8)). Suppose -3*r + 0 + o = 0. Solve 0 = r*j - 0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9 (base 12) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/o**(1\/5)*o)**(5\/14) assuming o is positive.\nAnswer: o**(9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -5\/6*t**3 + 4\/3*t**2 - 2\/3*t + 1\/6*t**4 + 0.\nAnswer: t*(t - 2)**2*(t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0\/(4\/(-6)*3). Suppose 0 = -3*g - 7 - 5, o = 2*f + 5*g - 78. Let q be (-112)\/f + 0 + 2. Which is the second biggest value? (a) 5 (b) 1\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, -3, 21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 82*o + 675 = -309 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 502703.0119 - 502652. Let n = u + -51. What is n rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.5, -111, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -3*d**4 + 8*d**3 - 10*d**2 + 4*d + 7. Let l(b) = -8*b**4 + 23*b**3 - 29*b**2 + 11*b + 20. Let w(n) = -17*h(n) + 6*l(n). Solve w(a) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 41 - 17. Suppose 270 = 2*n + m. What is n rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + 5 - (2 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) be the third derivative of -o**6\/60 - o**5\/30 + o**3\/6 - 2*o**2. What is the units digit of i(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (0 - -1)\/(43\/68413) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that -3*n**5 - 33*n**4 - 66*n**3 + 180*n**2 + 216*n = 0.\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.01 in 0.1, -2\/19, 3, 54.26?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (-65)\/(5850\/36)*2\/((-208)\/5)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -2*i**3 - 8*i**2 + 63*i - 59. Calculate z(5).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 341588 and 1051040?\nAnswer: 13663520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*y - 3*w - 9, -4*y - 15*w + 15 = -20*w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -256*r - 2295*r + 81632 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 330267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -340 - -512. What is z rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - -2. Let z = -7286 - -22109\/3. Let m = z - 85. Which is the second smallest value? (a) 4 (b) t (c) 5\/2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -5 - -7 - 4\/(-1). Let m(a) = -19*a. Let l be m(-6). Calculate the highest common divisor of j and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oqmwwmqwmimqomwooo. What is prob of sequence qm?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.335 and 4368.\nAnswer: 4367.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is ((-72)\/(-90))\/((-96)\/(-60))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 24 and 616632.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, n: 2}. What is prob of picking 1 x and 1 n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + b = -469, 12*v = 7*v - 2*b + 767. Suppose -15*g - v = -20*g. Solve -g + 26 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 3*h - 5*p - 20 = 0, 0*h + p = -4*h + 19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 73*p**4 + 1 - 72*p**4 - 3 - 4*p - 2*p**2 as y*p**4 + i*p**2 + g*p**3 + w + t*p and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -95aa (base 12) to base 11.\nAnswer: -11361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 738 - -1355. Is z a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (2\/56)\/(9\/(-9498)). Let y = -46\/21 - p. Let r = -41 + 446\/11. Calculate the common denominator of r and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2778033997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1234606913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = -110 + 774. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 174 - 177.84. Round b to 1 dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 5*q = 40, 3*b + 3*q - 1 = -q. Let l(n) = -2*n - 7. Let o be l(b). Suppose -g + o = h - 1, 2 = -2*h + 3*g. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14\/896*-4)\/((-1)\/(-2)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 116.7854 years in months?\nAnswer: 1401.4248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 303*n**2 + 307*n**2 + 299*n**2 - 909*n**2 - 2*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 7 (b) -3 (c) -9 (d) 1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 15 - 16. What is the smallest common multiple of 1\/(2 + p)*1 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bfffftbffbfbbbffs. Give prob of picking 1 f, 1 b, and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -8168400 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*k = -18*k + 15. Find the third derivative of -19*f**2 + 6*f**3 + 52*f**k - 6*f**3 - 9*f**2 + f wrt f.\nAnswer: 3120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.02 in -0.1, 0.4, -9, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5 - 22. Let u = s - -49. Let b = u + -28. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 24281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -71 divided by 57430\nAnswer: -71\/57430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the second derivative of p**4\/12 - 3*p**3\/2 + 11*p**2\/2 - 7*p. Let o be u(8). Solve 4*i - 4*n = -12, -i - 2*i = o*n - 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**(2\/5)\/q)\/q*q)\/q)**(-22)\/((q\/(q\/q**6))\/q**3)*(q**(-3)*q*(q*q**(-3\/8)\/q)\/q)\/((q*q**(-5))\/q**(-5)) assuming q is positive.\nAnswer: q**(1113\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 20*o**3 - 20*o**2 + 20*o + 20. Let l(t) = -t**2 + t + 1. Give -2*j(v) + 40*l(v).\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**2 + 10*u + 12. Let n(y) = 3*y - 39. Let f be n(10). Give i(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -212922 + 319859. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 215.39 + -218. Round g to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-344)\/2150*(16 - 491)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f**(-2\/9))\/f**(-1\/4))\/(f**(-1)\/((f**(-1)*f*f*f)\/f)) assuming f is positive.\nAnswer: f**(109\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the second derivative of -u**5\/10 + u**4\/12 - 253*u**3\/3 - 359*u**2\/2 - 1556*u. What is the first derivative of v(x) wrt x?\nAnswer: -6*x**2 + 2*x - 506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -822 (b) 0 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the third derivative of y**6\/120 + y**4\/12 + 2*y**2. What is the second derivative of s(c) wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbv when three letters picked without replacement from bbvbvbr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q**3 - 14*q**2 - 2*q + 122. Give v(-13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 2544 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4 - 80?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aavpvvppaaaaapassa. What is prob of sequence aa?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58 = -5*m - h, -4*h - 27 - 29 = -4*m. Let g(y) = y - 10. What is the lowest common multiple of g(m) and 6 + (5 + -2)\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 176*0.5.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = -46 + 93. Calculate the remainder when y is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -42*y + 7852 - 7012 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 65 and 502047.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -47*y - 481. Let m(o) = -12*o - 121. Calculate 15*m(b) - 4*p(b).\nAnswer: 8*b + 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2*(-4)\/(-28))\/(((-384)\/112)\/(-2))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1105408 and 799?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 4 + 3)*(-20*s**3 - 9*s**3 - 3*s**3).\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the second derivative of o**4\/6 + 11235*o. Let i(m) = -677*m. Let t(d) = -226*d. Let c(j) = 3*i(j) - 8*t(j). Calculate c(b(l)).\nAnswer: -446*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 5*q + 7. Let u(a) = a - 2. Let b be u(7). Suppose h + 9 = 2*p + 4*h, b*h = 3*p + 34. Is p at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4 - 0. Let h(y) = 4*y**2 - 2*y. Let n be -3 - -4 - (1 + 2 - 0). What is the lowest common multiple of i and h(n)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y**2 - 5*y - 1. Let l be v(6). Let o = 8 + -7. Suppose -o = -d + 3. Which is smaller: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 60*l - 62*l + 5*d + 1693781, 2*l = 4*d + 1693776. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**3 - 5*v**2 - 9*v + 14. Let c be q(6). Which is smaller: 18 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6 + 0)*1 + (-156)\/(-30))*-15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z - 25. Let g(p) = -2116*p - 76. Calculate g(w) - 3*i(w).\nAnswer: -2113*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j = -5, -3*p = -5*j - 131 - 149. Suppose b = -1, 0*m - 5*b = -3*m + p. Suppose 15*v = 14*v + m. Calculate the highest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 4) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1695847697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -779, -3156, -7127, -12698, -19875?\n\"Answer: -t**3 - 791*t**2 + 3*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -2*y**2 - 7*y - 9. Let m(z) = z**2 + z + 1. Let h(s) = -c(s) - 6*m(s). Let b(a) be the first derivative of h(a). What is the units digit of b(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 40301 (base 6) to base 5\nAnswer: 132133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 923050346 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/(-4)*1\/((-4)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.5099595 + 1.51. What is o rounded to six decimal places?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**2\/9 + 3229756*u\/9 + 64597520\/3.\nAnswer: -2*(u - 1614938)*(u + 60)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -134811 and -5?\nAnswer: 674055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-12 - -17)*102\/15. Put 2, j, -11 in increasing order.\nAnswer: -11, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -4 (b) -668 (c) -4\/7 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o + 11*s - 621, 230 = -0*o + o - 4*s. What is the remainder when o is divided by 203?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -726*o + 16.\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 76 - 76 + 11*x**2 as v*x**2 + f + a*x and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 1160 = j - 6*j, j = -h + 224. Suppose 4*b - h = -4*g, 2*b + 51 = 3*g - 2*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*o + 4432 = -60*o. Let n = 283 + o. Solve -d + n*d = -10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**3 + 31*a**2 + 59*a - 165. What is the units digit of l(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1536*p*t**3 + 3681*p*t**2 + 70*p*t + 2*p - 2*t**3 + 1453*t + 212 wrt t.\nAnswer: 9216*p*t + 7362*p - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5 and 2315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is c37 (base 15) in base 2?\nAnswer: 101011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -78*v**2*y**3 + 2*v**2 - 2*v*y**4 + v*y**3 - 89*y**2 + 3 wrt y?\nAnswer: -468*v**2 - 48*v*y + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1 - -95) + (8\/(-2))\/1. Let i = 16 + r. What is the highest common divisor of i and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(864)*-1 + sqrt(864)))\/(-5*(sqrt(30) + sqrt(120))\/sqrt(10)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -67533, -67532, -67531, -67530, -67529, -67528?\n\"Answer: q - 67534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tttl when four letters picked without replacement from {t: 13, l: 6}.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2 + -1 - (35 - (-20 - -54)). Which is bigger: -0.09711 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -11*z + 6. Let x(i) = -i - 1 + 0 + 3 - 1. Let t(j) = -k(j) + 2*x(j). Find the first derivative of t(o) wrt o.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 2*u**3 + 4*u**2 - 313*u - 868. Calculate v(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k**4 + 3*k**4 - 7*k**4)*(-2 + 1 + 5)*(180 - 180 + 5*k)*(0 + 2 + 1).\nAnswer: -120*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 1, -66, -3, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.9 - 0.7. Let g = 20 - 23. What is the nearest to g in n, 0.3, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 245*w**5 + 394310*w**4 - 225380*w**3 + 32200*w**2.\nAnswer: 5*w**2*(w + 1610)*(7*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u = 20, 4*w + 5 + 27 = -4*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -77 divided by -1636.\nAnswer: 77\/1636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*d + d + 2*d + (-5*d - 6*d - 5*d)*(-6 + 2 + 2) - 4*d + d + 2*d)*(2 + 4 - 4) to g*d + o and give g.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be (4 - 1559\/(-4)) + 1\/4. Suppose -3*j - 1651 = 5*y, -4*y - 1737 = -5*j - p. Is 1\/(y\/(-328) - 1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 883 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 3 = 3. Suppose 26 = 3*c - 4*s, s = g*c - c - 14. Is c\/(-21) - 247\/(-7) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -3*j**2 + 46*j + 6. What is the units digit of d(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31335*w = -31311*w + 504 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -766, -764, -762, -760, -758?\n\"Answer: 2*f - 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -14*u - 5. Let r(b) = -b + 1. Let k(m) = 5*r(m) + t(m). Let y(i) be the first derivative of 2*i**3\/3 + 4. Give k(y(h)).\nAnswer: -38*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -34.1 - -34.5. Which is the second biggest value? (a) 2\/15 (b) -1.1 (c) 3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-11)\/1 - (3 - 20). Solve 0 = 4*j + a*j + 60 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(33)*1 - sqrt(33))\/sqrt(3) + -5 + (3 + sqrt(11) + 1 - 4*sqrt(176)).\nAnswer: -15*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 0.06 * -0.03343\nAnswer: -0.0020058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = k**2 - 9*k + 4. Let x(j) = 7*j**3 - j**2 + 3*j - 2. Let l be x(1). What is g(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, y: 4, v: 1, i: 6, u: 2, t: 1}. What is prob of sequence uu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 618370 divided by 123674?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Multiply -120185 and 0.2.\nAnswer: -24037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5)\/180*9)\/((-4)\/(-6)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000204806048 rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h - 4*n - 172 = 0, -5*n + 133 = 3*h + 321 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6273498 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g be 7\/(-9) - 12\/54. Let p = 429 - 295. Let x = p + -805\/6. Which is smaller: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 6*s**2 - 48*s + 262. Calculate the least common multiple of l(7) and 66.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 139 = 3*w, -213*u + 214*u = -w + 62. What is the smallest value in u, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 6*n**2 + 5*n**2 - 16*n**2 - 17*n**2 + n in the form p*n + w + a*n**2 and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -929532\/47 at least -19777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(-33)*(32 - 14 - 16)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 4*n**2 + 9 - 9 + 11*n**2 in the form i*n**2 + l*n + c and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 5) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 4 - 9462*t + 58951*t.\nAnswer: 49489*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 8*d**2 + 10*d - 67. Let j be q(6). Let r = j + -153. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z + 4*l + 120 + 942, 5*z + 3*l - 1741 = 0. What is the greatest common divisor of 1120 and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-14)\/21)\/(((-2)\/(-3))\/2). Let f(d) = 8*d**2 + d - 1. Let g be f(1). Suppose -g + 3 = 5*t. What is the biggest value in t, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k. Let m(p) = -4*p - 8. Let o(l) = -m(l) - 2*x(l). Let z be o(8). Calculate the highest common factor of z and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 2*w - 9. Suppose -6*g + 3*g + 15 = 0. Let n(q) = -q - 1. Let o(p) = -p + 1. Let d(y) = g*o(y) - n(y). Give d(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 605, 47462, -4.\nAnswer: -4, 605, 47462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the first derivative of -23*v**3 - 28*v - 234. Let o(t) be the first derivative of p(t). Let h(q) = -2*q. Calculate h(o(f)).\nAnswer: 276*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o**3 - 6*o**2 + 3*o + 10. Let d be j(5). Suppose 3*t + d*t - 5*a + 8 = 0, -a = -t. Sort t, -10, 5.\nAnswer: -10, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -27559*o - 7907.\nAnswer: -27559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 177\/18 - 287\/(-246)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**3 + 5*l**2 - 2*l - 7. Let g be x(3). Let m be g\/((-20)\/(-742))*2. Suppose 4*s + m = 2*p - 43, 0 = 4*p - 3*s - 838. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s - 2*d = s - 4, 3*s = -5*d - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -27854 divided by 1178?\nAnswer: -733\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jyus when four letters picked without replacement from {i: 1, y: 8, u: 2, j: 1, s: 5}?\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -11*x + 3. Let c(n) = -17*n + 5. Let i = 26 - 34. Calculate i*a(b) + 5*c(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 19163 = 2*n, -6*n = -7*n - 4. Is i a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o**3 - 57*o**2 - 3*o + 57 = 0. Calculate o.\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 1536.186 years to millennia.\nAnswer: 1.536186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 56 divide 7976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 3 at least as big as -61883\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 18*o - 800. Let i be n(46). Let b(v) = -v. Let a(w) = 8*w - 16. Let m(r) = -a(r) - 4*b(r). Let h be m(5). Sort 5, i, h.\nAnswer: h, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j + 4*y = 9*j - 32, -j - 8 = 3*y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.1 - 0.1. Let k = 0 + l. Suppose 2*p + 3*p = 0. What is the closest to k in -3, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 437125\/(-22865) - 2\/(-17).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1 - 0 - 0) + 4. Suppose -3*m + 18 = 9. Let 0*q**3 + 3*q**4 - 5*q - f*q**m - 3*q**2 + 8*q = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -7*p + 6. Let n(b) be the second derivative of b**3 - 5*b**2\/2 - 18*b. Give -5*n(m) - 4*o(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7 + -6.9. What is the second smallest value in k, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -664 (base 8) in base 7?\nAnswer: -1162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2023 - 1077 + 9*z - 946.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(78)*-1 - sqrt(78))\/sqrt(6) + 4.\nAnswer: -2*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wpwpwwwwwwww. What is prob of picking 2 w?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2.6 (b) 0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -84321, -337259, -758823, -1349013, -2107829?\nAnswer: -3035271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -11751, -2\/3, 14, 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -k - 340 = -2*d - 385, 3*d + 87 = 8*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 288 + -135. Calculate the highest common factor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -19*g**3 - 1. Suppose -5*i = -5*b - 15, 4*i = 3*b + 44 - 27. Calculate the least common multiple of z(-1) and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 22 and 1308?\nAnswer: 14388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 11*q - 14*q + 75 = 0, -5*q = -h + 44. Let i = 73 - h. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.064 - 4.936. Let t = 2 - 2. Which is the nearest to -2? (a) t (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 4*q + 7 = -26, -3*v - 2*q = -33. Let f(u) = u**2 - 8*u. Determine f(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1067, 7310, 23873, 55916, 108599, 187082, 296525?\n\"Answer: 860*r**3 + 223*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) be the second derivative of v**5\/20 - 5*v**4\/12 - v**3\/3 - v**2 + 25*v. Calculate d(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4738 is divided by 158?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/40 and -53\/18?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + (-6 - 4) - (-3 + (1 - -3)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve t + d - 5 = 0, 3*t + 2*d + 6 - 8 - 7 = 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.466078097833 minus 0.3?\nAnswer: -0.766078097833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 2*q**3 + 4*q**2 - 3. Let s be o(1). Let z(b) = -4*b - 2. Let j(p) = -39*p - 21. Let u(y) = -2*j(y) + 21*z(y). Determine u(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 + 0 + 0)*(4*r - r - r) + 2*r - 3*r - r - 4*r + 3*r + 3*r)*(-13*r**2 + 21*r**2 + 30*r**2) - 3 + 3 + 3*r**3.\nAnswer: -73*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (2\/8)\/(2809\/(-212) - -13) and (-53)\/(-39) + 4\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -8*r**2 + 11. Let m(c) = 943*c**2 - 10 - 23 - 918*c**2. Let y(z) = 6*m(z) + 17*o(z). What is the first derivative of y(x) wrt x?\nAnswer: 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7 - 10. Let u = 0 + -0.5. Let h = 0.2 + u. What is the nearest to -0.3 in n, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 + 4)*(-24 - 13*c**2 + 24)*(2*c**2 - c**2 - 3*c**2).\nAnswer: 52*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = 2*c + 54. Suppose 3*k - k = c. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/(-3)*36\/378*-9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -25.95 + 28.977. Let j = d + -0.027. What is the closest to 1 in -2, j, -3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 194, 201, 214, 233, 258, 289?\n\"Answer: 3*y**2 - 2*y + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1192 divided by 2.\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 310 and 341?\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 956855197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 2338 divide 163531410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -0.54 * 0.4\nAnswer: -0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is ((-164)\/46)\/(49226\/(-566099))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 12024 and 1810948.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.038 + 2.138. Let n = 12.1 - l. Let w = n - 15. Which is the nearest to -1\/4? (a) -2 (b) w (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*a - 263 + 284 = 0. Sort a, 1, 2, 0.06.\nAnswer: 0.06, 1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:09 PM and 2:06 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = 11 + 9. Suppose -5*c + 11 + 2 = o, 14 = a*c + 2*o. Solve -n - 9 = 2*x, c*n = -3*x - 0*n - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 12 - 7 = 0. Suppose 2*p - 27 = -7*v, 12*p - 15*p + 21 = 4*v. Solve v*r - 2 = -q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 156252*b**3 + 18*b**2 - 18187*b.\nAnswer: 937512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6780305, -6780295, -6780285, -6780275?\nAnswer: -6780265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4.91 - 0.09. Let o = -133\/39 - -1\/13. Let p = 56\/15 + o. What is the third smallest value in i, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 102 divide 26724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be (11769*((-5)\/(-4))\/(-5))\/((-6)\/(-16)). Is -7845 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + c - 2*c = -270, 0 = 5*c + 10. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**3 - 3*k**2 + 7*k + 7. Let t be g(-6). Let n = t - 17. What is n rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*b = -60*b + 5*x - 10, -b - 6*b + x = -3*x + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-30 - -24*(-580)\/(-667)) + 9.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the third derivative of o**4\/24 + 2*o**3\/3 - 199*o**2 - 1. What is v(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3 + -1. Let m = -96.08 + 101. Let b = 0.08 + m. What is the closest to 0 in 0.5, l, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1204.03 + 1204. Which is the closest to -0.2? (a) -5 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*y - q + 30, -1487*y + 1489*y - 3*q + 25 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(1\/12)\/g*g**(4\/3)*g*g)**(-38) assuming g is positive.\nAnswer: g**(-551\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/((u*u**(1\/9)\/u)\/u)*u**(-4\/7))\/(u**4*u\/(u\/(u**(-3\/5)*u))) assuming u is positive.\nAnswer: u**(-971\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.11? (a) -0.4 (b) -616 (c) -0.7 (d) 16.5 (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1508527, 6034113, 13576759, 24136465, 37713231?\n\"Answer: 1508530*a**2 - 4*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -262948*l**3 - 267747*l**3 - 84875*l**3 - 213063*l**3.\nAnswer: -828633*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1.9 * -23\nAnswer: -43.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 91801 is divided by 118.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -82*c + 104 + 1985 - 285 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 218 = -3*s, 3*a + 114 = 2*s - 35. What is the remainder when s is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m + 5*t = -32, 3*m + m = 5*t - 1131 + 1167 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**3 + 216*o**2 - 5376*o - 25088.\nAnswer: -2*(o - 56)**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 323 and 304?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand ((w + 0*w - 3*w)*(2 - 2 - w)*(-4 + 1 + 0) + 46*w**2 - 4 + 4)*(0 + 0 - w**2).\nAnswer: -40*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 2*b + 14. Let l be o(-5). Solve -6*y - 2 = -l*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that 4*m**5 - 23680*m**4 + 283728*m**3 - 850752*m**2 = 0.\nAnswer: 0, 6, 5908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**2 - 5*p. Let o be q(-4). Let l(g) = -g**3 + 4*g**2 - g + 1. Let t be l(o). Let u = t - -11. Calculate the highest common factor of 12 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4.4 - -7.56. Let b = -3 + m. Round b to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2051768507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 149.00000071 - 149. Round t to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-21)\/(-336)*400 + (-4 + 10 - -15)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26126 is divided by 142?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4.16 + -0.16. Let b = d - 4.000038. What is b rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w**5\/3 - 8*w**4\/3 - 23*w**3\/3 - 28*w**2\/3 - 4*w = 0. What is w?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4, 1, 28, 89, 196?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 2)*(2*b**5 - 3*b**5 + 2*b**5) - b**5 - 2*b**5 - 4*b**5 + (-4*b**3 + 5*b**3 - 3*b**3)*(0*b + b**2 + 0*b) - 159*b**5 + 682 - 2*b**3 - 682.\nAnswer: -170*b**5 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 7949 bigger than 7948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -32233 + -211022030?\nAnswer: -211120323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1956 and 1.06733?\nAnswer: -2087.69748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -159*k**3 - k + 4 + 155*k**3 - 3 to the form u*k + n + h*k**3 + p*k**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 189*d**2 - 166*d**2 + 8*d**3 - 23*d**2.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-10)\/15)\/((-4)\/90). Suppose 3*d + 5*j = 92, 4*d - w - 136 = -j. Let q be 1*(-1 + 0) - -14. Calculate the highest common divisor of q and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4 + 1. Put -3\/4, 2\/3, m in decreasing order.\nAnswer: m, 2\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 21880 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4383?\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -3 + -8 + 3 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3164 divided by 4.\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -6*q**3 - q**2. Suppose -u + 12 = 3*u. Suppose 3*r + 0 = -u. List the prime factors of k(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -15, -14, -13, -12, -11, -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*r = -4*r - 16. Suppose -r*u - 47 + 571 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 285\/(-4)*-2*(-2)\/(-3)*(-22442)\/56105.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5563 - 23923 = 1080*g for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3159480 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -296a (base 13) to base 10\nAnswer: -6003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 67620 and 784?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*q - 7*q**2 + 12*q**2 + 3*q)*(-48 + 227 - 56)*(-9*q - 7 + 7) to the form r*q**2 + k + w*q + b*q**3 and give r.\nAnswer: 1107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 13\/10317304 and -15\/659.\nAnswer: 10317304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/5, -12, 20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 1 - 4 - 2\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -82.54 + -0.46. Let x = -83 - d. What is the second smallest value in 4, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*s + 16*s - 45870 = 0. What is the thousands digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the second derivative of 13*m + 0*m**3 + 1\/21*m**4 + 0 - 8\/7*m**2. Factor u(c).\nAnswer: 4*(c - 2)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*o - 780 + 780 to the form z*o + r and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/(-15) + (1890\/135 - (-15752)\/(-1140)).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -67.5 times -69?\nAnswer: 4657.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1aa - 17?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 51971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -45*u**3 + 38 - 2*u**4 - 38 - 5*u**5 - 28*u**4.\nAnswer: -5*u**3*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-30)\/(-12)*12\/15. Suppose k - 1 = -n. What is the tens digit of (k + 3)\/((-8)\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 4*q**3 + 82*q**2 + 23*q - 37. Give r(-20).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 3*g. Let i(s) = 2*s + 2. Let b(l) = -369*l - 328. Let a be 8\/2 - 9 - (-8 - -167). Let c(r) = a*i(r) - b(r). Give c(u(j)).\nAnswer: 123*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 8302*f**2*q**3 + 368*f**2*q*v - 3*f**2 + 267976*f*q**3 - 14*f*q*v + q wrt f?\nAnswer: 16604*q**3 + 736*q*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 1418 divide 13387338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Convert 50344 (base 6) to base 16.\nAnswer: 19d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -15 (b) -3\/8 (c) 83 (d) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 165 and 528?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9944 - -21478. What are the prime factors of y?\nAnswer: 2, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -35 (b) -1 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(260)*-1)\/sqrt(10))\/(sqrt(14)\/(sqrt(7)*-2)) - 6*4*(-1 + sqrt(468))**2.\nAnswer: -11256 + 290*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.607 * 1\nAnswer: -0.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 151 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -1551159280 to the nearest one million.\nAnswer: -1551000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 521785 and 54595.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is z in 2*z**3\/7 - 355424*z**2 - 4975978*z - 17415972 = 0?\nAnswer: -7, 1243998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = m**3 - 8*m**2 + 13*m + 3. Let i be s(3). Suppose 0 = -d + 8 - 7. Put 8, i, d in descending order.\nAnswer: 8, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 276148 smaller than 274930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -803 - -7d?\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -118238*m**3 - 198346*m**3 + 2 - 2.\nAnswer: -316584*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + 3 + 0 + -6 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 217011 and 868044?\nAnswer: 868044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4 - ((-11)\/2)\/(3\/6). Which is smaller: -1\/4 or c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b + 20 = 5*a, -a + 59*b + 5 = 57*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4 - (2 - 0))\/(12\/(-8)). Let x be (-9 + -7)*1*-3. Let v be 26*1\/7 + x\/168. Solve j = -v*z - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 623036.\nAnswer: 2, 29, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (37 - -13) + -12 + -19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 2*b = 2 - 26, 0 = 4*a + 5*b - 39. Let x(c) = 32*c - 5. Is x(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/2 - (-16 + 15). Sort -1, 3, x in descending order.\nAnswer: 3, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 127*m**2 + 15*m - 93. Let u be o(7). Suppose -5*a + u = -5*y, 0 = -3*a + 3*y - 7*y + 3755. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 8*a + 16. What is t(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1512 and 840?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1573\/9 - (-176 - -175)\/(18\/4). Calculate the greatest common factor of h and 475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.195 + 88.195. Let b = -87.626 + x. Round b to 2 decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x + 3. Let y(f) = 16*f - 9. Let h(i) = 6*o(i) + y(i). Let m(v) = -4*v - 9. Let c be m(-4). What are the prime factors of h(c)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 5*v - 5 = 0, 3*i - 3*v - 1 = -4. Suppose 0 = 2*q, -3*j - j = q - 16. Solve 0*h - j*h = i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -z + 8 = -g, 2*z + g - 1 = -0*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -0*v + 4*v, 0 = 3*v + 5*t + 10. Let n = 17065 - 17049. Solve n*y + 55 = v*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 136198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 29.3 less than or equal to -28684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -14293.4762 to the nearest integer.\nAnswer: -14293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 4938 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -272 (base 9) to base 4\nAnswer: -3203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 38220112 and 2908052?\nAnswer: 267540784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 7664 = 2*a, -11*m - 3837 = -a - 14*m. Suppose 0 = -19*v - 3208 - a. Which is greater: v or -369?\nAnswer: -369","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -93*f + 1515 - 334 = -124 - 1113 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that 4*b**2 + 10983300*b + 43933136 = 0.\nAnswer: -2745821, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fwwwfwwwwff. What is prob of picking 1 f and 1 w?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 11956837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*c**4\/3 - 274*c**3\/3 - 4140*c**2 - 181976*c\/3 + 194672\/3.\nAnswer: -2*(c - 1)*(c + 46)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00003149888 to 7 decimal places.\nAnswer: -0.0000315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be (10\/(-25))\/((-4)\/5). Let i = 21 + -25. Sort h, i, 0.\nAnswer: i, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dms when three letters picked without replacement from {d: 2, q: 1, x: 2, s: 2, m: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) be the first derivative of -3\/11*t**2 + 7\/22*t**4 + 6\/55*t**5 + 2\/11*t**3 + 2 - 4\/11*t. What is d in k(d) = 0?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:54 AM and 7:26 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 2, j: 2, d: 5, q: 5, i: 5}. Give prob of sequence iijj.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x be -3*(-1 - (-39)\/45). Let y = 3.89 - -0.11. Which is the third smallest value? (a) x (b) -0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -58077.8611 rounded to the nearest one hundred?\nAnswer: -58100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-14))**(2\/33)*(o\/(o*o*o*o**(-7\/4)*o))**(11\/6) assuming o is positive.\nAnswer: o**(-829\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1923\/5 - 384. Let o = 2 + -1.8. Which is the third smallest value? (a) -2\/11 (b) r (c) o (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3260 is divided by 3060.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minutes before 10:46 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 67558622?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 101*i - 105 + 307 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 494 + -16. Suppose -s*u = -472*u - 1656. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1216, -4855, -10918, -19405, -30316, -43651?\n\"Answer: -1212*b**2 - 3*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -70*s + 79*s = 108 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0 + 0. Suppose 6488 + 18372 = -22*b. Let c = 1134 + b. Sort -4, n, 1, c in descending order.\nAnswer: c, 1, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*i**4 + 4*i - 3*i + 8*i + 3*i wrt i?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = v**3 + v**2 - v - 1. Let w(x) = -5*x**3 - 12*x**2 + 1. Let g(y) = -6*k(y) - w(y). Let s be g(-4). Suppose 2*o = -o + s. List the prime factors of o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -19966712, -19966713, -19966714?\nAnswer: -19966715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -135 + 135. Solve 3*o + u - 19 = 0, s = 2*o - 5*u + 4*u - 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 31857 (base 10) to base 8.\nAnswer: 76161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k - k + 1115 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 14 and 15820?\nAnswer: 15820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 190 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-45)\/(-6)*8\/10. Is 5 a factor of (1 - j) + 734 + 3\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 122742 is divided by 3141.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*n**2 + 0*n**2 - 53*n + n**2.\nAnswer: -3*n**2 - 53*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**3 + 13*t**2 + 13*t + 18. Let a be w(14). Solve 0 = 5*j - a*i - 13, -4*j - 2*i - 5 = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 143*d + 630 = 150*d. Calculate the least common multiple of d and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 63256982?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1797301 is divided by 1628.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, r: 1, k: 2, f: 1}. Give prob of picking 2 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 31570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 2*c**2 + 2*c - 1. Suppose -s + 5*s + 5*j + 51 = 0, 3*j + 54 = -5*s. Let p be (12\/(-8))\/(s\/6). What is b(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**2 + 3. Let f be v(0). Let y(x) = -x. Let c be y(f). What are the prime factors of 11 + (-6)\/(c\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1.9 bigger than -1399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 109\/(2725\/(-950)) - -50\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = -2*n - 45. Suppose -342 = -n*m - 3*m. Suppose -4*h = -39 + 23. Calculate the least common multiple of m and h.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gg when two letters picked without replacement from {v: 1, k: 3, g: 5, y: 3}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 496 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3 - 4. Let w be (c\/3)\/(1\/(-18)). Let r(i) = 2*i**2 - 8*i - 4. Is r(w) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 434 divided by -2.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 35957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out -17479084 - 799383.\nAnswer: -18278467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ess when three letters picked without replacement from {h: 2, r: 1, e: 1, s: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2.1 - 1.4. Round s to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 158 a factor of 6636790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p + 8 = -4*l, 5*l - 3*p + 165 = 179 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n**3 + 2*n**2 - 2*n - 3. Let l be q(-2). Let v be -3*((-2)\/6 - l). Suppose 1 = v*w - 47. Round w to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5 - -8. Suppose 31*v - 26*v = w + 15, -v + 22 = -4*w. Find the third derivative of 42*x**3 + 21*x**2 - 13*x**g + 9*x**v - 11*x**2 wrt x.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-23*p**4 + 22*p - 22*p)*(-1 + 16*p + 8 - 8).\nAnswer: -368*p**5 + 23*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i = -2*i + 3*n - 7645, 4*n + 20 = 0. Let o = i + -1149. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10444065 > 10444059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 4080, 32602, 110010, 260748, 509260, 879990?\n\"Answer: 4074*k**3 - k**2 + 7*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3 + 9. Solve q = -2*q - v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in -56, -2\/13, 0.2, -1\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 102*q**2 + 8*q + 33. Is i(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1507 and 411.\nAnswer: 4521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-2)\/(f*f\/f**(3\/7)))**(15\/8) assuming f is positive.\nAnswer: f**(-375\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 2 e when three letters picked without replacement from kkkekekkkeeekekeeke.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 3460 = -808. What are the prime factors of o?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0*((-8 - -1)\/(-1) + (0 - 6)). What is the smallest value in 1\/14, 4, d, 8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -308*j**3 + j**2 + 49*j + 100. Give x(-2).\nAnswer: 2470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yhmehynw. What is prob of picking 1 e and 1 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -302033032 (base 4) to base 5\nAnswer: -23041044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 48 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -11*d. Let l(u) = 955*u. Give c(l(o)).\nAnswer: -10505*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 93902, 187788, 281674?\nAnswer: 375560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 41\/2 - 20. Let k = 10\/13871 + 13811\/83226. Factor -2\/3*s + k*s**2 + h.\nAnswer: (s - 3)*(s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + b = 88 - 82, 3*s + 5*b = 30. Which is smaller: 9\/8 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n = 28*s + 52, -4*s - 19273 = -4*n - 19437 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**3 - 3*x**2 + 2*x - 3. Let s be o(3). Suppose i = f - 7, -s*f + 1 = i + i. What is the smallest value in -1\/4, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1107968 less than 1107945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22517 is divided by 5744?\nAnswer: 5285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 23711.9802298 + -23712. What is l rounded to 4 dps?\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -3856\/27527 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -0.09*-1.7\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 183 a factor of 198555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1196178 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the third derivative of j**6\/420 - 2*j**5\/3 + 139*j**4\/84 - 2031*j**2. Factor a(l).\nAnswer: 2*l*(l - 139)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -15 - 59*p**2 + 12 - 58 + p**3 - 121*p.\nAnswer: (p - 61)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -19, 5, -3, 71, 3, -5, 0 in decreasing order.\nAnswer: 71, 5, 3, 0, -3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 3, l: 8, u: 7}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 38.48 and 4.7?\nAnswer: 180.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 966498715 to the power of 1\/2, to the nearest integer?\nAnswer: 31089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*sqrt(28)\/sqrt(4) + (sqrt(70) + (sqrt(70) - (1*sqrt(70) + sqrt(70))))\/sqrt(10).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-24)\/9 + 0 + 2)*-3. Let j be x\/(-3) - ((-12)\/(-9) + -2). Determine u so that 0 + j*u + 2\/3*u**2 + 4\/3*u**3 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the third derivative of -49*r**6\/60 - 7*r**4\/12 - 1102*r**3 + 1934*r**2. What is the derivative of l(j) wrt j?\nAnswer: -294*j**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 51605339221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1562 is divided by 762.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -83.8 - 86\nAnswer: -169.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4, 251, 676, 1271, 2036, 2971, 4076?\nAnswer: 5351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 3*y + 4. Suppose -d + y*d = 96. Suppose -4*l = l - b - d, b = -2*l + 44. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8 - 12. List the prime factors of 63\/4 + y\/(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3966 is divided by 37.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1.0478 + 0.0478. Let a be (6\/(-8))\/(1\/4). Sort 3\/7, a, y in ascending order.\nAnswer: a, y, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -782*i**2 + 6*i + 1731*i**2 - 726*i**2 in the form s + f*i + p*i**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lcl when three letters picked without replacement from cclcllclcllc?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x = -q + 15, -3*q + 3*x + 6 = 15. Suppose q = -3*z + 8 + 7. Suppose 6*m - 3*r - 77 = m, m - z*r = 11. What is the least common multiple of 10 and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 greater than or equal to 1\/54882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -725*y + 2655*y - 75270 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h be (12\/36)\/(-1 - (-4 + 2)). Factor 0*r**2 + 0 + 0*r - 3*r**3 + 2*r**4 - h*r**5.\nAnswer: -r**3*(r - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1 - 2) + -2 + 12. Is 639 - ((-2)\/q + 36\/(-21)) 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 61152 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -37038, -0.3, -1, 0.5, 0.9, 3 in increasing order.\nAnswer: -37038, -1, -0.3, 0.5, 0.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(448) + ((0 + sqrt(448))*-4 - sqrt(448)) - (sqrt(448) + 0 + -3)) + (sqrt(504)\/sqrt(8) - (sqrt(1008) + -1)))**2.\nAnswer: -392*sqrt(7) + 16823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 2*k**2. Let y(s) be the third derivative of -5*s**4\/24 + 13*s**2. What is y(u(m))?\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(162) - (sqrt(162) - sqrt(162)*2)) + -2 + sqrt(162))**2 + sqrt(8)\/(-2*sqrt(16)).\nAnswer: -433*sqrt(2)\/4 + 1462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hoohoooh. What is prob of sequence oo?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2283822 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2775 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = 18 + -18.2. Let n = 2 + -2.05. Let l = n + 2.05. Which is the third biggest value? (a) l (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 3*j. Let t(z) = -z**2 + 9*z - 6. Let g be t(8). Let f(r) = -r**3 + 3*r**2 - r + 1. Let a be f(g). Let b(i) = -a*i - 5*i + 5*i + 5*i. Give b(k(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from {p: 1, a: 1, g: 2, o: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 2*sqrt(19) + -5 + 2.\nAnswer: -5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*a + 4*a - 5*a)*(49 - 1 + 0) + (-5*a - a + a)*(-1 + 5 - 2).\nAnswer: -58*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract 2.5 from 4010.\nAnswer: 4007.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5 (b) -4\/9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.0837 from 1724.134733.\nAnswer: 1724.051033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3.96 + -0.04. Let o = 107 + -115. What is the smallest value in o, u, -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 210564371 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 + 1. Let y(x) = x**4 + x**3 + 1. Let d(n) = 4*n**4 + 8*n - 17*n**2 + 6*n**3 + 8*n**3 + 4 + 5*n**2. Let s(o) = g*d(o) + 6*y(o). Factor s(p).\nAnswer: 2*(p - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -34040 - -3?\nAnswer: -34035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2452555.\nAnswer: 5, 7, 79, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -3*q**2 - 20*q - 58. Let i be u(-3). Which is the nearest to 6? (a) -2\/5 (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z - 2. Let x be 26\/(-8) - (-2)\/8. Let j(w) = -2*w. Let k(o) = -1. Let c(h) = x*k(h) - j(h). Let a be c(-3). What is t(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 172 minutes before 1:21 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-1)\/20)\/(25\/20 + -1). Which is the fourth smallest value? (a) y (b) -5 (c) 3 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 14*g + 27. Is i(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 2*t**2 - 2. Let d be 1974\/1128*(1 - 5). Let o(a) = -4*a**2 - a + 4. Give d*j(i) - 4*o(i).\nAnswer: 2*i**2 + 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 12 = -q, -q - 4*b - 1 - 8 = 0. Let t be (q + -3)\/(1\/(-1)). Let o(c) = c - 3*c + t*c. Calculate o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the third derivative of -k**8\/1680 + k**7\/630 + k**6\/180 - k**5\/30 - k**4\/12 - 33*k**2. Let i(p) be the second derivative of c(p). Factor i(n).\nAnswer: -4*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(6\/5)*w*w**(-1))\/(w**(-12)\/w*w\/(w*w**15)) assuming w is positive.\nAnswer: w**(146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that 2*c**3\/11 - 19737730*c**2\/11 + 39475454*c\/11 - 19737726\/11 = 0.\nAnswer: 1, 9868863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = -472.0303 - -0.0303. Let f = -97414068.87 - -97413596.8700193. Let r = i - f. What is r rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30*q - 46*q + 31*q - 32*q + 65*q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 3733145 (base 11) to base 16\nAnswer: 63080e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.5 + 0.6. Let c = y - -5.9. Let v = c - 6.4. What is the third biggest value in v, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1708, 3, -1, -43, 4 in increasing order.\nAnswer: -43, -1, 3, 4, 1708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -7\/6 (b) -0.1858 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:06 PM and 8:40 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2354 - 16480\/7. Put -5\/11, 31, u in descending order.\nAnswer: 31, u, -5\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0446155 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 7 + -4. Let n(t) = -j + 3 + 2 + 9 + t. Let r be n(-10). What is the second smallest value in -0.4, 6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -l - 4. Let w be m(0). Let q be 20\/2*w\/5. Calculate the smallest common multiple of 12\/q*-4 + -3 and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2.9 + -4. Let m be 32\/(-40) - (-286)\/(-5). Let u be m\/203 - (-26)\/(-56). Which is the closest to z? (a) -4\/5 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -857137*x**2 - 25*x - 72925076?\nAnswer: -1714274*x - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nnjxssnjsssnsnnsssns. Give prob of picking 1 j, 1 n, and 1 s.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 57337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.08 in -30, 3, 3490, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qrqxlqrrllll. What is prob of sequence llq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiiiiiiiiiiiiieiii.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 10}. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 205 and 10045?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*g + 2*g - 3*g)*(21 - 21 - 11*g) + 0*g**2 - 4*g**2 + g**2 + (0 - g**2 + 0)*(1 + 4 - 3).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 2, -0.5, 4, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -4*y + 7. Suppose -3*z + 4 = -32. Let m be d(z). Let c = m - -112. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 122375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:54 PM and 2:31 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*s + 1670 + 442 + 454 = -398 for s.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-152)\/6)\/(756\/567)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 74329050 and 6?\nAnswer: 74329050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the second derivative of -24*u**2 + 0 + 7\/4*u**4 - 3\/20*u**5 - 11*u - 4*u**3. Factor n(y).\nAnswer: -3*(y - 4)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*m**4 + 2*m**4 - 6*m**4)*(-15 - 1 + 4)*(-m + 0 + 0).\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1 - 1\/(2\/(-6)). Suppose 4*u - 3*p = -p + 28, -3*p - 12 = 0. Let t = u + -5. Put h, t, 5 in descending order.\nAnswer: 5, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**3 + 6*f**2 - 3*f - 7. Let d be n(5). What is the highest common factor of d and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 40.9711671 to 2 dps.\nAnswer: 40.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.13666 to three dps.\nAnswer: -0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o = -11 + 41. Suppose 2*a + 10 = -b + a, o*a + 2 = -b. Let c = 14 + b. Calculate the least common multiple of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in -1, -2867, 2\/5, 1, 1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -388 + 397. What are the prime factors of ((-1124)\/w)\/((-4)\/18)?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(243) + 4 + (sqrt(243) - (sqrt(243) + 0)))*5 + 1*(sqrt(243) - (sqrt(243) - (sqrt(243) - -1*sqrt(243))))*4 + 3)**2.\nAnswer: 5382*sqrt(3) + 41596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -11 (base 8) to base 9\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 93 - 44. Suppose -w - w - s = -b, -2*b + 98 = -w. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 144*q - 275*q + 1788 = 316*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 298349719571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 225 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h**2 + 8*h**3 - 2*h**2)*(-3*h - 11*h + h)*(-4*h - h + 3*h) - 28*h**5 - 10*h**5 + 5*h**5.\nAnswer: 175*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 - 0. Let c(t) = t**3 + 9*t**2 + t + 8. Let p be c(0). Solve p*v - 15 + 55 = h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 30 = 5*o, o + 2 = d - 5. Calculate the remainder when 9 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -122365.404 and -159.3.\nAnswer: -122524.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = d + 207*l - 211*l - 50, -5*d - l = -19. Let o = 73 - 19. What is the greatest common divisor of d and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -59 times -3776047?\nAnswer: 222786773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -715 + 1302. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 813163 and 34359?\nAnswer: 2439489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4.84 + 0.16. Which is the second smallest value? (a) y (b) 3 (c) 0.1 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 406460 by 5.\nAnswer: 81292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 176133, 352256, 528379, 704502, 880625?\n\"Answer: 176123*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -127579283\nAnswer: 5\/127579283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -36 - (-8 + 2) - -6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.2 * 0.089\nAnswer: -0.0178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -l. Let b(q) = q. Let n be b(-1). Let u(s) = -s**2 + 5*s + 1. Let w(d) = n*u(d) - 5*y(d). Give w(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 184100 divided by 625?\nAnswer: 7364\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is j in -15*j**3 + 560*j**2 - 4475*j + 1430 = 0?\nAnswer: 1\/3, 11, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 11501 times -0.1976?\nAnswer: -2272.5976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-5 + 2*(-3 + (0 + 2 + -2*sqrt(612))*5))**2.\nAnswer: -12960*sqrt(17) + 1469286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ggi when three letters picked without replacement from gtggtgggkittttgttggi.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least as big as -16\/1993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 758 = 2*x - 5*n + 9*n, 5*n = -4*x + 1531. What is the remainder when x is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -m**2 - 3*m + 3*m + (-350764 + 871*m**2 + 350764)*(-3 + 0 + 0) as l*m**2 + a*m + q and give l.\nAnswer: -2614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 2*d + 33. Let v be l(-14). Let m(q) = 30 - 42 + 12 - v*q. Let f(n) = 13*n. What is m(f(p))?\nAnswer: -65*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -1346 divided by -14\nAnswer: 673\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -232 or -233?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.017 and 0.304.\nAnswer: 0.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 45 divide 7470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**5)**(4\/17) assuming p is positive.\nAnswer: p**(20\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q - 3. Give k(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*f = -146188 + 18368. Round f to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*w - 1 + 1)*(w**4 + 1 - 1) - 5*w**5 + w**5 + 3*w**5 - 8*w**4 - 1774*w**5 + 15*w**4 + 1807*w**5.\nAnswer: 34*w**5 + 7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -3*f**2 + 6*f + 7. Let w be k(5). Let d = w + 40. Solve 2*r - 4*h + 20 = 0, 2 + 8 = -4*r - d*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -15*b + 16011 - 15966 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 2333863 at least 2333869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 8*p - 81. Let h be q(14). Suppose 41 + h = 12*z. Solve -b = -z + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 1\/20, 3, 6\/155, 2, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**1*f**1)\/((f**(-3\/4)\/f)\/f)**(-1\/85) assuming f is positive.\nAnswer: f**(669\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*k - 462 = 5*k. What is the smallest common multiple of 28\/6*(-96)\/(-64) and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:49 AM and 11:02 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-25 - (-29 - -10)) + -16.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 16828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - -2 - -3) + (15 - (45 - 30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2063 + 1861 = 18*r. What is the remainder when r is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 146653, 4 in descending order.\nAnswer: 146653, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 166521 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l - 2*o = 12, l = 4*o + 98 - 116 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8740526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:09 AM and 10:32 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = -134 + 171. Suppose 4*w + u = 5*n, 13*n = -2*w + 18*n - 31. Sort -0.4, -0.1, w.\nAnswer: w, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 5, o: 3, a: 7, y: 4}. What is prob of sequence yea?\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y**2 - y - 3. Calculate the remainder when 4 is divided by l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 301 and -10.\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p + 3*t = 41, 161*t - 156*t - 125 = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 417.8336ms to nanoseconds.\nAnswer: 417833600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that i**5 - 47*i**4 - 22*i**3 + 1010*i**2 + 1173*i - 2115 = 0.\nAnswer: -3, 1, 5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 4*q + 67 = 62, 2*q = -10. Let v = -1 - -1.02. Sort c, 2, v, -0.4 in ascending order.\nAnswer: -0.4, v, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52*r - 51*r + 4*q - 368113 = 0, r - 368113 = -q. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 687 - 132. Calculate the greatest common factor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hoohohoooooooooooooo. Give prob of picking 1 o and 1 h.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(4 + sqrt(675)).\nAnswer: 4 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000002566461735 to 7 decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -79*i + 77*i - 8 = 0, 3*g - 5*i = 29. Solve 6*l + g*k = l - 11, -4*k = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 16*k + 15. Let a(d) be the second derivative of 5*d**3\/6 + 5*d**2\/2 - 8336*d. Determine -7*a(x) + 2*i(x).\nAnswer: -3*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1207094.\nAnswer: 2, 7, 151, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 5*d - 5*s = 23, -5*d + s + 9 = 0. Let t(o) = 2*o + 2 - 1 + d. What is the units digit of t(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1102 + -1101.8. Which is the fourth biggest value? (a) p (b) -4 (c) -0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*h - 5*t + 5, -31554 = 8*h + t - 31512 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-126)\/5)\/(1974\/(-3290)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w + 4*w = 2*d + 12, -7 = d - w. Find the common denominator of (-6)\/(-21) - (-1298)\/(-84) and ((-267)\/30)\/(d\/5).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000942 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3\/22 (b) 3\/65 (c) 3 (d) 0.105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 176 divide 584605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Total of -1525592079 and 4.\nAnswer: -1525592075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 445 = 4*k, 0*r + k + 149 = r. Suppose 595 = 6*o + r. What is the remainder when o is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m such that -3*m**2\/7 - 8950656*m\/7 - 6676186902528\/7 = 0.\nAnswer: -1491776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: ((-3138)\/5753)\/(3\/(-308))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of 4904202451976 and -1.24.\nAnswer: 4904202451974.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -4d4610 (base 14) in base 3?\nAnswer: -12000021202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mzm when three letters picked without replacement from mggrmggggzgggzzzg.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -11\/30 and -6 + (12726\/(-203))\/(-9).\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-568)\/946 - 6\/(-33). Let z = 212\/301 + n. Factor -4\/7*x + 0 + 4\/7*x**3 + z*x**4 - 2\/7*x**2.\nAnswer: 2*x*(x - 1)*(x + 1)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n = 6, -2*f + 10*n - 11 = 15*n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1388120 and 3280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9 + 78. Let g = 2668 + -2552. What is the highest common factor of v and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -284814173 less than -284814174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -475027, -950050, -1425073, -1900096, -2375119, -2850142?\nAnswer: -3325165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*i**3*z**3 + i**3 + 58*i**2 - z**4 + 3*z wrt z.\nAnswer: 9*i**3*z**2 - 4*z**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add together 1395 and -10.24.\nAnswer: 1384.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q + 4*h - 6 = 3*h, -4*q + 14 = 5*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 28150353 or 2\/3?\nAnswer: 28150353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*w**4 + 2*w - w**3 + 129597*w**2 - 129600*w**2 + 513 - 484 to the form r*w**3 + h*w**4 + l + d*w**2 + t*w and give l.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4 (b) -30 (c) -0.06 (d) -0.4 (e) 125\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2a54 + 619?\nAnswer: 3471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 26090, 25892, 25668, 25424, 25166, 24900, 24632, 24368?\n\"Answer: l**3 - 19*l**2 - 148*l + 26256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 963857 smaller than 963852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 1 = -92\/1640073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -74*m = -75*m - 2, 3*p = 2*m + 79. Solve -28*f + 3 = -p*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18946844.69 rounded to the nearest 10000?\nAnswer: 18950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -3*h**3 - 4*h**2 - h + 5. Let x = -1222 + 1904. Let s = -686 + x. Let m(a) = -a**2 - a + 1. Give s*m(l) + d(l).\nAnswer: -3*l**3 + 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 254 times -1\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**3 - 9*v**2 - 8*v + 3. Let g be w(-8). Suppose -2*y + 2 = 3*k, -g*y = 2*k + k. Suppose -10*l = -k*l - 904. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**3 + 4*z**2 - 3*z + 3. Let o be k(3). Suppose -4*t + o*d = -25, t + 11 = -0*t - 5*d. Let x(w) = 10*w + 2. What is the units digit of x(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (49\/7)\/14*-4*7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -19*j - 8. What is the remainder when g(-5) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**3 - 2*k**2 + k + 2. Let x be o(-2). Suppose -1189 = -3*j - 3*n - 1162, -2*n = -4*j. Sort j, x, -64, 5 in ascending order.\nAnswer: -64, x, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z**2 + 9*z - 3. Calculate the remainder when 66 is divided by w(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-15)\/40)\/((66\/48)\/(-11)). Solve -x*p = -0*o - o + 13, -3*o + 4*p = -14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 33*x - 4. Let q be y(3). Suppose 0*o - 5*o - q = 0. Let z = o + 41. Calculate the greatest common factor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5 - 47. Let v = -27 - p. Solve 9*l - 4*l + 20 = -5*n, -v = 4*l + 3*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1 + 2 - 1 - -4. Let l(o) = o**2 - 4*o + 1. Let v(u) = -2*u**2 + 7*u - 2. Calculate a*v(n) + 11*l(n).\nAnswer: -n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the first derivative of t**4\/4 - 20*t**3\/3 + 10*t**2 - 2*t - 299. Determine h(19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3438350 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 1.237, -6\/11, -1.5?\nAnswer: 1.237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (270\/150)\/(68 + -275)?\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -5*j + 2. Let r(q) = q**2 + 11*q - 4. Give 5*p(d) + 2*r(d).\nAnswer: 2*d**2 - 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**2 + 19*v + 36. Let m be z(-17). Let w(r) = -6 - 3 - 6*r + 12. What is w(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1898321733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -s - 1. Let b be (-2)\/(-4) + (-7)\/14. Suppose b = -3*w + 61 + 62. Suppose w = -5*n + 2*n + 4*p, -4*n + 4*p - 48 = 0. Give x(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/215, 0.3, 4, 13, -0.5 in decreasing order.\nAnswer: 13, 4, 0.3, -2\/215, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 199 + 1399*y - 614 + 309*y + 205 + 206 in the form b + l*y and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 281806 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 51\/50 and 53\/80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -1\/5 (b) 207 (c) 4 (d) -37 (e) -4 (f) 0.4 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 1 - (5 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 5*c = f - 21, 3*f + 2*c - 14 = 0. Suppose g = -0*g - 3*m + 13, 0 = -m - f. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(38)\/(sqrt(4)\/sqrt(2)).\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 6 = -9. Suppose -5*s - 2*t = t - 3, -n = -4*s - 5*t. Let b be (s - -2) + (-27)\/15. What is the smallest value in 2\/17, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.0018465 + 2017.\nAnswer: 2015.9981535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 17 * -45.5807.\nAnswer: -774.8719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 53*u**2 - 1. Let m be p(1). Suppose 0*d + 2*d = -4*y + 42, 3*d - m = -5*y. Suppose -3*l + 65 = 2*w, -l = -w - w - y. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 175 - 1228\/7. Suppose -9*l = -12*l - 3. Are l and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3680 - -3690. Calculate the highest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is c66331 + 0?\nAnswer: c66331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 169 a factor of 367672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 - 2 - 1)*(-1 + 0 + 0) + 0 + 0 - 3)*(u - 7*u + 2*u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2273.8 or -94?\nAnswer: -2273.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/4*-2*(-48)\/(-1200)*-10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 55482 is divided by 9237?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -22 + 21. Let o be 42 + 3 + (f - 2). Let b = 65 - o. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 - 1 + 1)*(3 + 3 - 4)*(-r + 4*r - 2*r)*(2 + r - 2)*(4 - 3 - 3).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be (0\/(-2))\/(2 + -3). Suppose t + 1 = -u, -2*t = u - l*t + 2. Let y(g) = -g + 4. Let d be y(u). What is the highest common divisor of 36 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 2958, 2951, 2944?\n\"Answer: -7*n + 2965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -49, -323, -1053, -2467, -4793, -8259, -13093?\nAnswer: -19523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 7*m = -3*v + 95, 0 = 2*m - v - 27. Suppose 0*u = -4*u + m. Suppose -u*a - 16 = -356. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2356\/4123)\/((-2)\/(-28)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**3\/13 - 4*g**2\/13.\nAnswer: -2*g**2*(g + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1328, -920, -252, 670, 1840?\nAnswer: 3252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/65554750 or -1?\nAnswer: 1\/65554750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2367460 and 4024682?\nAnswer: 40246820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**2 + 4*u + 8. Let q be r(5). Solve 4*d = 4*g - 1 - q, -2*d + g + 1 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -52877, -105757, -158635, -211511?\n\"Answer: g**2 - 52883*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -9*d - 7. Suppose 2*w + 3*c + 10 = 0, -4*w - 2*c + 25 = -9*w. Let h(z) = -5*z - 4. Let f(l) = w*h(l) + 3*q(l). Determine f(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 0*v**2 - v**2 - 3*v**2 - 5*v**2. Let j(c) = -c**2 - c. Let d(a) = -8*a**2 - 6*a. Let t(b) = -d(b) + 6*j(b). Give r(t(f)).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -460454*z**4 - 5143*z - 13 wrt z.\nAnswer: -5525448*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = 4*i + 116 + 96, 0 = 4*i - 8. Calculate the greatest common divisor of 55 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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 2*o + 2*q = -12, 5*q + 6 + 19 = 0. What is the nearest to 1 in o, 5, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five halves of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 0 + 0 - 2 + 2*i**2.\nAnswer: 2*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 14 minutes before 9:21 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 1 + 0*p + 2 - 3*p - p**3. Let c(y) = -6*y**3 - 17*y + 17. Suppose 17*r = 20*r - 12. Let w be r\/(-10)*(-96 + 11). Calculate w*a(f) - 6*c(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Suppose -142 - 19 = -z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15 - 4. Suppose 3*y - 1 - g = 0. Suppose -4*x = -w - 555, 3*x + y*w - 177 = 263. Is x a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 1651*f**4 - 3*f**3 + 211. Let p(q) = -6604*q**4 + 13*q**3 + q**2 - 845. Let s(b) = -3*p(b) - 13*t(b). What is the third derivative of s(v) wrt v?\nAnswer: -39624*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*i + 16*i - 6*i + 0*i - 3*i + 2*i + (1 + 3 - 2)*(i - 4*i + i) to m*i + y and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 5 (b) -0.49 (c) -1\/34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*u + 24*u = -29*u. Solve 4*n = -u*n + 4*z + 24, -4*n - z + 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 274, 274, 210, 28, -326, -906?\n\"Answer: -9*r**3 + 22*r**2 - 3*r + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -2021460 (base 8) to base 16.\nAnswer: -82330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2226 a factor of 76300075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-2794)\/(-3) - -2) + (-58)\/(-87).\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1793191885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*p - p + 336. What is the greatest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 21 - 22. Suppose -2*g - 4 = 3*s, 5*s = 6*g - 2*g - 14. Let t be (s*(-2 + 3) - h) + 20501. What is t rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12143211 (base 5) in base 6?\nAnswer: 2250223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 98 and 15758547.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let 1043*k**2 - 1043*k**2 - 47*k**4 - 10*k**3 - 9*k**5 = 0. Calculate k.\nAnswer: -5, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -111 or -109?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes before 7:51 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 0, -5*c + 7*u = 6*u - 8190. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7796 greater than or equal to 7793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t**5\/6 - 197*t**4\/6 + 4991*t**3\/3 - 13243*t**2\/3 - 83711*t\/6 - 47045\/6 = 0. Calculate t.\nAnswer: -1, 5, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*w = -3*p - 5*w - 6, 4*w - 18 = 2*p. Sort -0.5, p, 0 in ascending order.\nAnswer: -0.5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1957\/8 - -245. Let n = 960685\/46 + -20883. Let y = n + 24\/23. What is the third smallest value in m, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1590\/5663 - -4\/809. Let s = 13.67 + -13.4. What is the second biggest value in u, 3, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 20 - 22. Let f be (v - 5\/4)*-4. Suppose -f*m + 37 = -12*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g + 4 + 2. Solve -g*c + 1 = 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -5*c**3 + 5*c**2 + 6*c + 4. Let f(q) = q**3 - q**2 - q - 1. Let o(m) = -m**3 - 3*m**2 + 27*m + 93. Let a be o(-4). What is a*p(k) + 4*f(k)?\nAnswer: -k**3 + k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((z*z\/z**3)\/z)\/(z\/z**5))\/(z\/z**(-2\/3)*z**5*z*z))\/((z\/(z\/z**1))**(-2)\/(z**(-1))**23) assuming z is positive.\nAnswer: z**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 3335809 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = -419 - -419. Let p(m) = -21*m + 64. Is 4 a factor of p(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that -8\/5*x**2 - 2\/5*x + 0 + 8\/5*x**4 + 6\/5*x**5 - 4\/5*x**3 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwewwe. What is prob of picking 2 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (0 - -2)*((-132)\/(-8) - 15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xr when two letters picked without replacement from {y: 13, r: 1, x: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1680689230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/3 - -1 - 0. Let k(m) = -m**3 + 14*m**2 + 15*m - 4. Let x be k(15). What is the biggest value in -2, y, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the third derivative of 0 + 13\/30*l**5 + 0*l + 23\/12*l**4 + 0*l**3 - 7*l**2. What is the second derivative of i(z) wrt z?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10 - -83. Let m = -44 + s. Let o = m + -20. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes before 6:25 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:06 PM and 7:20 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 6*p - 15. Let x be ((-24)\/9 - -1)*-3. Let n be a(x). Calculate the greatest common factor of 135 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2 - 123?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 75629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (j**2 + j**2 + 2*j**2)*(4*j + 0*j + 181*j**2 - 179*j**2).\nAnswer: 8*j**4 + 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -2*d**2 - 2. Let i(x) = -42*x**2 + 2*x - 4. Give -i(b) + 2*y(b).\nAnswer: 38*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2604 + 2604. Solve v - 5*o + h = 6, -o = 2*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -3*c - 9. Let a be w(-4). What is the units digit of (-5 - 2134)\/a*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6\/9 - (-2)\/6. Suppose 110*i - 83*i = -108. What is the nearest to -1\/4 in x, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1889551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -19 equal to 0.138007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t + 2*v = 22, -3*t - 4*v = 1881 - 1900 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 136 = -4*o. What is the remainder when 167 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 509 is divided by 417.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -22*b - 30*b - 4*b - 12*b - 2 to u + c*b and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -22286 = -455*i - 586*i + 28*i for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 34397834900 to the nearest one million.\nAnswer: 34398000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 506 - 503. Solve y*t - 11 = 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -10*n**2 - n. Let o(d) = 11*d**2 + d. Let c(k) = 3*o(k) + 4*u(k). Let w be c(-1). Let b be (1 + w\/4)*-8. Solve -b*l - 5 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -39 - -71047?\nAnswer: 7100b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5, 0, -0.2, -11, -4, 0.3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h**0*h))**(2\/31)*h\/(h**(-1)*h)*h\/(h\/(h\/((h**3\/h)\/h)))*(h**(6\/11)\/((h**(-4\/5)*h)\/h*h*h))**(2\/161) assuming h is positive.\nAnswer: h**(8783\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 606888 and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = -14*h. Suppose h = -k - 23 + 38. What is the remainder when 70 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 3*w + 3*w**2 + 35 - 2*w**2 - 4*w. Calculate the remainder when x(0) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 301 + 109 - 6726*m + 6724*m.\nAnswer: -2*m + 410","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (16*k**3 - 81*k**2 + 81*k**2)*(-3 + 3 - 1).\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1191987216 to the nearest integer?\nAnswer: 34525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-155 - 397 - 500)*(-3*a - 2 + 2).\nAnswer: 3156*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) be the third derivative of 998*a**5\/15 - 59*a**3\/3 + a**2 + 510. What is the derivative of i(o) wrt o?\nAnswer: 7984*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48*l + 2990 = -93*l + 1016. Let h(d) = 24 + 6*d - 10*d - 16*d. Let a(i) = 4*i - 5. What is l*a(b) - 3*h(b)?\nAnswer: 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8 - 6. Let p(o) = o**2 + 5*o + 5. Let b be p(-5). Solve -q*i = -0*i + 3*m - 7, -m = -b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1101 + 1001110?\nAnswer: 1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 69873 and -172?\nAnswer: -12018156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = 64.9400062887 - 64.94. What is n rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rriiriiirrrrr. What is prob of sequence iirr?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from emrermfrfmmrrrfrrrm.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 37421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000036001755 rounded to 7 dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -7, -4, 4, 3026, -3, 2 in descending order.\nAnswer: 3026, 4, 2, -3, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -216\/2449?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h**2 + h. Let p(k) = 0*k**2 + 2*k**2 + k + 0*k**2. Let v(m) = c(m) - p(m). Let b(t) = 11*t. Calculate v(b(l)).\nAnswer: -121*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h + 82*f - 20 = 81*f, -5*h + 40 = 3*f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3112 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -863867156 - -8645865721\/10. Let o = 718581 - q. Let g = o - -842. Calculate the common denominator of -91\/20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 20 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2642*i + 261 + 447*i - 261)*(-5*i + 5*i - 2*i**2).\nAnswer: -6178*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = -60.04085 - 1.11615. Let v = x + 61. What is v rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*l**5*o + 136991*l**2 - 12582*l*o + 3*l - 11*o wrt l.\nAnswer: 80*l**3*o + 273982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -500 = -22*y + 12*y. Let o = y + -36. What is the highest common divisor of o and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -3*v**2 - 20*v - 31. Determine k(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -8658*a + 34600. Give s(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1021628461 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g - 0*g + 1055. Suppose 0 = -2*r + n + g, r = 2*n - 36 + 134. Suppose 3*x - x - r = 0. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -697, -690, -671, -634, -573, -482?\n\"Answer: n**3 - 698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be 64\/6 - 6\/(-18). Let m be 3\/12 - (-15)\/4. Suppose -4*j + 3*b = -208, -4*j - m*b = -0*j - 236. Calculate the greatest common divisor of j and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-k + 4*k - k)*(-1015*k + 2454*k - 1087*k + 0 + 0 - k + (3 + 0 - 2)*(2*k - 4*k + 4*k) + 0*k + k + 0*k) to the form c*k + a + j*k**2 and give j.\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be 46\/12 + 9\/(60 - 6). Solve 2*b + 5*x = -15, b + k*b = -5*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2fae8 (base 16) in base 8?\nAnswer: 575350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, -2, 0, 1, -43, -90, -4 in descending order.\nAnswer: 11, 1, 0, -2, -4, -43, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 64\/7? (a) 1 (b) 2\/357 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 194 a factor of 4309145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 - -6. Solve 6*l + 6 = -2*g + 4*l, 5*l + 6 = -c*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 51 + -34. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -233 + 233 - 15*d.\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.7, -38, 5\/4, -342 in decreasing order.\nAnswer: 5\/4, 0.7, -38, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 36000, 143999, 323994, 575985, 899972, 1295955, 1763934?\n\"Answer: 35998*i**2 + 5*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -100, -466, -1456, -3382, -6556, -11290, -17896, -26686?\n\"Answer: -52*r**3 - 2*r - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11206, -44890, -101034, -179638, -280702?\nAnswer: -404226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -131 + -2949.24\nAnswer: -3080.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -120*u - 14064 = -132*u. Is u a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*i**3 - 14*i**3 - 62*i**3.\nAnswer: -61*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:52 AM and 5:54 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9 and 2110641.\nAnswer: 6331923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 2702*v**3 - 11*v**2 - 8*v - 3107. Let k(g) = 900*g**3 - 4*g**2 - 3*g - 1032. Let j(s) = 11*k(s) - 4*w(s). Find the second derivative of j(a) wrt a.\nAnswer: -5448*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7 - 13 - 3*t**2 - 5 - 39 + 63 - 471*t.\nAnswer: -3*t**2 - 471*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**2 + 10*y + 15. Let q be h(-9). Suppose x + 2*s = q, -3*s = 3*x + 2*s - 16. Suppose k - 335 = -4*z, -4*z = -z + x*k - 255. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -109*u - 657. Calculate j(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put together 7 and -17511.3435998.\nAnswer: -17504.3435998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = 2*d. Let b = 91 + -193. Let j = 102.5 + b. What is the second biggest value in -5, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 23*f**2 + 3*f + 4. Let s be a(-1). Is 1 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -9*l**2 + l. Let b be n(1). Let z = b - -16. Solve -t - 3*q - 1 = 3, 4*t + 4*q = z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of 96427505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = -893\/5 + 1801\/10. Let u(b) be the first derivative of b**2\/2 + 5*b - 1. Let o be u(0). What is the closest to 0.1 in 3, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 139\/3456 and -143\/26880.\nAnswer: 241920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yyf when three letters picked without replacement from {f: 4, y: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 50426 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 490666 is divided by 2453?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 4287660 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5005174976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2.5 + -10.5. Let l = -4 - k. Which is greater: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -158392, -316788, -475184, -633580, -791976, -950372?\n\"Answer: -158396*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -452.02177 to 1 dp.\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = q + 7, 3*u - 1 = -3*q + 2. Let g = u - 0. Suppose g*m = 3*t - 7*t + 1880, 0 = -5*t - 5*m + 2355. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2\/17 - 13\/34. Is 16 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 5)*(3*j + 0*j - 5*j)*(43 + 19 + 14)*(0 + 1 - 2).\nAnswer: 608*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -149929, 23\/6, -25 in descending order.\nAnswer: 23\/6, -25, -149929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 0*r = 14. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -3\/22127?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 751409327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -1 (c) 4\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 637 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3927, 3440, 2953, 2466, 1979, 1492?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7514*x**2 - 52 - 7513*x**2 + 15035*x**2)*(-3*x + x + 3*x) + (x - 3*x - 1 + 0)*(x**2 - x**2 + x**2).\nAnswer: 6*x**3 - x**2 - 52*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3343332 (base 5) in base 12?\nAnswer: 2a329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dammmmmhmxmmmggmhx. What is prob of sequence ax?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -53 - 22. Suppose y + p - 72 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -13 - -6. Let q = x - -16. Let b = -2 + q. Calculate the greatest common factor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 35857977 to the nearest integer?\nAnswer: 5988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:06 AM and 8:42 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 272525768 + 5.4?\nAnswer: 272525773.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 54806*v - 135 = 54833*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 8 - -211?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -2*t**3 + 2*t**2 + 16*t - 27. What is p(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the first derivative of -s**2\/2 - 7*s + 4. Let g be u(-13). Factor -90*t**5 + 36*t**3 - g*t**3 - 14*t**2 - 18*t**4 + 92*t**5.\nAnswer: 2*t**2*(t - 7)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 90 and 4302.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = y + 210, c + 5*y = 5*c - 291. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1)\/((-1)\/2)*1. Suppose -35 = -u*r + r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5285 = 60*r - 419*r + 3331 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*t + 5*g - 70, 20 = 26*g - 22*g. Put 3, -3, t, 4 in ascending order.\nAnswer: t, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 75*f = 68*f + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-57)\/(-51) - ((-336)\/3213 + (-6)\/(-27))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bblbf. What is prob of picking 1 f and 1 b?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 2\/674283?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -3*((-2 + sqrt(500))*1 + sqrt(500))**2 + 4*sqrt(500)*-5*-4 + -5.\nAnswer: -6019 + 1040*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -5224810 rounded to the nearest 100000?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 16*j**2*q - 3*j**2 - 2*j*q - 6*j - 130*q + 7 wrt j?\nAnswer: 32*j*q - 6*j - 2*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*a - 28*a - 20 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 AM and 8:32 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**3 + 9*g**2 - 6*g - 13. Let h be 4*(-1 + (2 + -3)*-3). Give r(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 112105445 + 4?\nAnswer: 112105453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the third derivative of k**4\/24 + k**2. Let a be (-8 - -3)*(-4)\/5. Let w(c) = -a*c + 3*c - c. Give w(j(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 27096 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let -276*j**5\/7 - 10762*j**4\/7 - 14182*j**3 + 111432*j**2\/7 + 2080*j\/7 - 3200\/7 = 0. What is j?\nAnswer: -20, -1\/6, 4\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7 - 4. Suppose r - z*r + 12 = 0. Calculate the remainder when 17 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1154 is divided by 165.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -6, 27, -2, -7 in increasing order.\nAnswer: -7, -6, -2, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 81 + 97?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 0.6615008m?\nAnswer: 0.0006615008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.406754 nanometers in centimeters?\nAnswer: 0.0000000406754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 38 divide 16316288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3*(1*(-3)\/9)\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*u + 5*u**3 - 9743 + 9*u.\nAnswer: 5*u**3 - 9743","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 772 + -767. Suppose -4*a = g - 21, 5*g + 1 = a + g. Solve a*m + 0*w - 13 = 3*w, -30 = -2*m - z*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x**2 + 115533*x - 257259126 = 0.\nAnswer: -40622, 2111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z. Let c(o) = 3*o. Let x(w) = 3*c(w) + 18*y(w). Let h(b) = b - 1. Let f be h(4). Let l(a) = -a**2 + 2*a**2 + f*a**2. Give l(x(r)).\nAnswer: 324*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = -l - 4, 2*l = -i + 4. Suppose i*h - 5*h - 10 = -5*y, 15 = y + 2*h. Suppose -4*w - 7 = -5*s, 3*s = -4*w + y*w + 7. Solve -q + 8 = s*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4891897?\nAnswer: 4891897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is (-6)\/42 - 8592\/(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 237 minutes before 3:28 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1089.3 (b) -193 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 7*t**2. Let a(q) be the second derivative of q**7\/280 + 16*q**4\/3 - 30*q - 4. Let v(u) be the third derivative of a(u). What is c(v(n))?\nAnswer: 567*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by 623.\nAnswer: -5\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*f**3 + 3944*f**2 + 482656*f + 2754816.\nAnswer: 4*(f + 6)*(f + 136)*(f + 844)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 5*k + 6 = 0. Calculate the least common multiple of 1 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 24889197 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o - z + 7, 0 = -3*o - 2*z + 3*z + 21. Suppose k - o*k = 258. Is -42 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 5\/2*72\/45. Suppose -2 = 4*l - 22, -3*s - o*l + 29 = 0. Solve d + s*g = 19, 4*d - 3*g - 1 + 0 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-408)\/(-336)*330\/(-880)*(-56)\/(-12).\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*p**2 + 2*p**3 + 3*p**2 + (-2*p + 2*p - 2*p**2)*(8 - 8 - 4*p).\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3 - -4) + (-3)\/(-1). Suppose p = d - 2. Solve 0 = -d*t + 5*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 232\/5 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -98334 != -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.48*208.\nAnswer: -99.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 733882.1 weeks?\nAnswer: 443851894080000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 33 - 29. Suppose -15*f = -4*f + 55. Sort 0.2, f, n in ascending order.\nAnswer: f, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + g - g + 2*g)*(0 - 7 - 6).\nAnswer: -26*g - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = -12 - 8. Calculate the remainder when 4\/10 - 1352\/i is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/2 and (-354)\/80*(-30)\/45.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the second derivative of -5*c**3\/6 - 9*c**2\/2 - 2*c. Let y be a(-7). Let b = 108 + -69. What is the highest common divisor of b and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**5\/2 + 11*z**4\/2 - 9*z**3.\nAnswer: -z**3*(z - 9)*(z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 4233 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.27, 3\/2, 6\/7, 3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9271605.\nAnswer: 3, 5, 7, 88301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 2*x. Let s(m) = 193*m + 1. Calculate f(s(b)).\nAnswer: 386*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 111027611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 310.896059 rounded to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes before 5:58 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 2*y - 0*y. Let c(q) = -20*q + 26. Let d(x) = 7*x - 9. Let r(m) = 6*c(m) + 17*d(m). Calculate r(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 899404.5 kilometers?\nAnswer: 899404500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(30)\/sqrt(2))\/sqrt(5) + sqrt(3))*-1)**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 5183621 take away -345?\nAnswer: 5183966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2 + -26. Let l be p\/14 - (-10)\/(-35). Put 4, -1, l in descending order.\nAnswer: 4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in nine tenths of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -240, -144, -48, 54, 168, 300?\n\"Answer: z**3 - 6*z**2 + 107*z - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4875, -4389, -3581, -2451, -999, 775, 2871?\nAnswer: 5289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8257, -7747, -6897, -5707, -4177?\nAnswer: -2307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46*i + 677 = -47*i. Let m = i - -1322. List the prime factors of m.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*g + 45 = -10*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p - 8. Let w be f(8). Let l be (-511 - (3 + w))\/(-1). Suppose 0 = -4*n - 138 + l. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3617611 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = -u + 86, 7*l + 62 = u + 2*l. Is u smaller than 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*z + 0*z + 4*z)*(5*z - 4 + 1 - 4*z)*(2 - 4 - 1).\nAnswer: 6*z**2 - 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sssl. Give prob of picking 3 s.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 2\/90543421 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 53 minutes after 10:16 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*d + 17*d + 308 = 33*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 3 f when four letters picked without replacement from pwpffwpfppwpwf.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:41 PM and 3:32 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 38*o**2 + 8*o**2 + 155*o**6 + 665*o**3 + 87*o**6 - 667*o**3 wrt o.\nAnswer: 29040*o**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -94.5 and 14942474.2.\nAnswer: 14942379.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 193568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -n**2\/3 + 71629594*n\/3 - 23876531 = 0 for n.\nAnswer: 1, 71629593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**1)**(-18)*(i**1*i)**(5\/7)*i*i*i**(-1\/5)*i*i**1*i\/(i\/(i**(-1)*i))*i*i\/((i**(-4)*i)\/i*i) assuming i is positive.\nAnswer: i**(-272\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 432671624 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -n**2 + 337 + 0*n**2 - 118 + 518 + 147 to k*n + b*n**2 + m and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -j**3 + 5*j**2 - j - 2. Let n(i) = i**3 + 11*i**2 + 7*i - 23. Let x be n(-10). Let q(m) = -m**3 + 6*m**2 + 5*m + 17. Let h be q(x). Calculate z(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*y - 12*y + 336 = 23*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 367 - 367.01528. What is u rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by -1164\nAnswer: -1\/1164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be -49 - 6 - (-10)\/(-2). Let m = -29 + 20. Let u = m - y. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - -200?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) be the second derivative of -d**4\/24 - d**3 - 41*d**2\/2 - 21*d. Let c(h) be the first derivative of x(h). What is c(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -7261571 - 3?\nAnswer: -7261574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:08 AM and 7:03 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 370857 (base 9) to base 3\nAnswer: 102100221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10154 is divided by 407?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -17*u**3 + 8*u**2 + 10*u. Let g(k) = -31*k**3 + 16*k**2 + 21*k. Let a(b) = 11*c(b) - 6*g(b). Suppose a(o) = 0. Calculate o.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -10*(-16)\/12*10050. What is w rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24 < 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2858?\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v = 7*b + 4*b, 3*b - 2*b + v - 3*v = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be 670\/8 + -4 + 0. Let u = w - 79. What is the biggest value in 2\/3, 2, u, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -119.6 - -114.6. Let l = -5.84 - -6. Let a = l - -2.84. What is the second smallest value in 13\/5, 3\/2, k, a?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the second derivative of 2\/25*d**5 + 2\/5*d**4 + 16\/15*d**3 + 4*d + 7\/2*d**2 + 0 + 1\/150*d**6. Let f(t) be the first derivative of l(t). Factor f(j).\nAnswer: 4*(j + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + h = 5*x - 47, h = 3. Suppose j = 3*o - o + 28, 8 = -2*o. Calculate the greatest common divisor of x and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -452739812345 - -5\nAnswer: -452739812340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*s - 7*s - 4*s + 30*s to the form x*s + b and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5187\/5 + -1040. Let y = -0.6 - -0.3. Which is the nearest to 1\/3? (a) -4 (b) y (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) be the first derivative of -3*h**4\/2 - h + 6. What is the first derivative of v(u) wrt u?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/((-1)\/(-6)*24\/(-3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be 5488\/32*(-540)\/(-63). Suppose t = 4*p + 2*t + 6367, -2*p - 2*t = 3188. Let c = a - p. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*q - 5*f + 6203, 21*q + 4*f = 22*q - 1577. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 2*h**3 - h**2 - 5*h - 6. Let w(c) = 2*c**3 + 3*c**2 - 20*c - 1. Let m(r) = r**3 + 2*r**2 - 12*r. Let d(z) = -8*m(z) + 5*w(z). Give -5*d(s) + 4*f(s).\nAnswer: -2*s**3 + s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -10*k - 3. Let z(b) = -50*b - 14. Let o(j) = -22*p(j) + 4*z(j). Let m(v) = -7*v - 3. Let x(n) = 17*m(n) + 6*o(n). Give x(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in fourty-five halves of a century?\nAnswer: 27000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2.51 - 302.51. Let q = n - -301. What is the closest to 2\/9 in q, 17\/6, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76 = -6*s + 25*s. Let b be ((-18)\/10 - -3)\/(s\/(-10)). Do -0.38 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/4*(-32420404)\/(-786) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36576769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 102929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 3*l. Let u(f) = 60138*f - 51. Calculate u(h(c)).\nAnswer: 180414*c - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**2 + 2*r + 2. Let h be i(-2). Suppose -2*p + 0*x = 2*x - 90, 51 = p - h*x. What is the remainder when p is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rpfp when four letters picked without replacement from cvrlpcfrp?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express 1583 - 156*n + 1615 - 3203 in the form b + y*n and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n**3 + 7*n**2 - 8*n - 5. Let u be c(-7). Let m be (-3)\/u*(-2 + 0). Is m at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the second derivative of 1\/2*o**4 + 0*o**2 + 6*o + 0*o**3 + 7\/30*o**6 + 0 + 0*o**5. What is the third derivative of b(c) wrt c?\nAnswer: 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 153121723 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (221*y**2 - 182*y**2 + 294*y**2)*(y**2 - 11*y**3 + 15*y**3 - 7*y**3).\nAnswer: -999*y**5 + 333*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - (-15 - -5)) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -142 - -124. Calculate the common denominator of (-15)\/d*(-11 - 0) and 137\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20.90791 grams in micrograms?\nAnswer: 20907910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d\/(d*d\/d**(1\/3)))\/d)**7*(d*d**(1\/4)*d)\/d*d**4)\/((((d\/d**(-4))\/d)\/(d\/d**6))\/(d**9*(d\/d**(-1))\/d)) assuming d is positive.\nAnswer: d**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 6 = 26. Let i = h + -3. Suppose 5*a = -4*p + 36, -a + p + 7 = i*p. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 21216*n - 3076300. Calculate l(145).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that -1\/5*o**3 + 125 - 135*o + 51\/5*o**2 = 0.\nAnswer: 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -66*o + 308. Determine c(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 2, e: 1, t: 1, d: 6, x: 1, q: 4}. What is prob of sequence rxqt?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -2*w - 5*k - 30, -5*k = 2*w + 35. Sort w, -4, 2 in descending order.\nAnswer: 2, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -56.37040902 rounded to three decimal places?\nAnswer: -56.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 1307 = k, 17*k - 22*k - 3*j - 6556 = 0. Are -1313 and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 62.829881 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 459 a factor of 2272199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7132.\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -8\/33 and 131\/856182.\nAnswer: 9418002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.63368 from -39609.\nAnswer: -39609.63368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -2569520 divided by 321190?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1540 and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-52)\/14 - (66 - 70)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-9)\/4)\/(7 - (-344745)\/(-49248)). Suppose 0 = 18*q + q - h. Is q a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 139 minutes after 11:21 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 120175 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 287 + -328.6. Let c = 34 + y. Let x = c - -7.8. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*o - 13*o + 3*d + 62 = 0, -3*o - 65*d + 41 = -70*d for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 51*o + 1580. Give f(-31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -6*l + 24. Let i(u) = -112*u + 70. Let n(a) = 13*a - 8. Let j(k) = 4*i(k) + 35*n(k). Determine j(p(m)).\nAnswer: -42*m + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 13*o**2 - 9*o + 48. Calculate h(7).\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -84*r**3 - 2*r**2 + 5*r + 6. Let l be i(6). Let k = l - -90492\/5. Let h = k + 82. Which is smaller: 0.18 or h?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 16.92 + 0.08. Let k = f - 16.9999965. Round k to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 701395 is divided by 196.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 50*18\/1260*(-17)\/(510\/72).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -617*z**2 - 739 + 736 + 11*z - 10*z in the form v + t*z + f*z**2 and give f.\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i + 1. Let b(u) = 28*u + 5. What is b(a) - 5*s(a)?\nAnswer: 33*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be 9\/(-10) + -3*(-12)\/90. Let t = -0.3 + 0.5. Let w = t - 0.1. Which is the nearest to s? (a) -1\/3 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(3*(sqrt(448) + -3)**2 - (-5*(sqrt(448) + sqrt(448)*3))**2).\nAnswer: -177829 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -270, -1675, -5358, -12459, -24118, -41475, -65670?\n\"Answer: -190*d**3 + d**2 - 78*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -2*u**3 + 6*u**2 - 7*u + 9. Determine y(4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -11.34 - -11.16. What is the third smallest value in 4\/7, 2\/19, -0.3, g?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 134917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g**3 + 22*g**2 + 10*g - 229. Give s(22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -7080656.12 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from nanannaavnvnv.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1850*v**5 - 858*v wrt v.\nAnswer: -37000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -32\/570735 and -35\/3.\nAnswer: 570735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -36 + 59. Let m = s - 19. Suppose -3*o - 105 = -2*f, -o = -4*f + m*o + 213. What is the remainder when f is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 331.45 + -331.39. Let t = 0.01 + 0.39. Which is the smallest value? (a) t (b) 2 (c) 0.2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*w**3 - 27 + 27 + 18*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 190669\/2730 + -4\/455. Let x = c - 205\/3. Determine j, given that 3*j**3 + 0*j**2 - x*j - 3\/2*j**5 + 0 + 0*j**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 410 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*g + g + 0*g)*(8 - 4*g**2 + g - 4 + 2*g**2).\nAnswer: -20*g**3 + 10*g**2 + 40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -184816392\/13 smaller than -14216646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = -c + 14, -4*t - 5*c - 4 = -102. Determine i so that -96\/11*i**t + 36\/11*i**3 - 72\/11 + 24\/11*i**4 - 174\/11*i - 6\/11*i**5 = 0.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ndnd when four letters picked without replacement from ddnn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*f = 16*f + 7. Which is smaller: -2\/73 or f?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 572 is divided by 83.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 24 and 34?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 362150933 to the power of 1\/3, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 20 + -22. Which is the second biggest value? (a) 5 (b) -3 (c) 2\/3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -22*x**3 - 166*x**2 + 210*x - 163865710?\nAnswer: -66*x**2 - 332*x + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 57 divided by 1\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*o**2 + 0*o**2 - o**2 - 3336167 + 0*o**2.\nAnswer: 5*o**2 - 3336167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 138 = 4*t, -2*t = -3*p + 2*t + 86. Suppose c + 4*k = 42, 0 = -c + 3*k + 23 + 33. Calculate the remainder when c is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = n**2 - 17*n + 67. Let s be b(11). Which is smaller: -4\/925 or s?\nAnswer: -4\/925","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 65 a factor of 4228185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (360\/(-112))\/3*(-154)\/(-8976)*17.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -1202120102 (base 3) to base 5.\nAnswer: -2102204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - i = -6*i + 17, 0 = 3*j - 5*i + 37. Let q = 11 + j. Calculate the highest common factor of 21 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 6*j + j + 227 = 0, -3*y - 5*j - 179 = 0. Let v = 65 + y. Solve -2*r - 1 + v = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is l in -36*l**2\/5 + 72*l\/5 - 32\/5 = 0?\nAnswer: 2\/3, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -216 + 234.9. Let z = 18.90097 - g. What is z rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-78)\/(-8) - 540\/(-432). Solve 82 = -n*j + 38 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39 (base 15) in base 16?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 462 is divided by (-102)\/(-136) - ((-115)\/20)\/(1\/31).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 35379.43 to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -137*h**2. Let u(i) = 17632*i**2. Calculate j(u(z)).\nAnswer: -42591577088*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 + 306865686.\nAnswer: 306865687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -84 + (49 - (41 + -67))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -22 + 16 + 12 - ((-7 - -2) + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1101 (base 2) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -13\/50, -0.034, -5?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 315, 1199, 2641, 4635, 7175, 10255, 13869, 18011?\n\"Answer: -h**3 + 285*h**2 + 36*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:12 PM and 1:43 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2698018 is divided by 1449?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 547 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(110) - (sqrt(110) + -3*1*sqrt(110) + sqrt(110)))\/(sqrt(10)*-1*-6))**2 + ((sqrt(176)*3 + sqrt(176))*2 + -3)**2.\nAnswer: -192*sqrt(11) + 101468\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 0.4, 5, -4, 14\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Add 0.085 and -1.408328988.\nAnswer: -1.323328988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -25 = -3*r - 2*r + 5*x, 0 = 2*r - 5*x - 0*x - 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -886*d**2 - 454*d. What is t(1)?\nAnswer: -1340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.672 - 0.072. Let q = -2.4 - s. What is the smallest value in 3\/2, 3, -0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -200, -790, -1776, -3158, -4936?\nAnswer: -7110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 837*c = -8961 - 6105 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 1.03743 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(2\/5)*(w\/(w*w**3))\/w*w**6*w*w*w**7\/w*w)\/(w**(-6)\/((w\/w**(-2\/17))\/w*w)*(w\/(w**(-2\/5)*w))**11) assuming w is positive.\nAnswer: w**(1217\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -4*t**2 - 21*t - 10. Let w(j) = -6*j**2 - 32*j - 15. Let m(s) = -8*v(s) + 5*w(s). Determine m(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*x - 21*x - 15 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-24)\/1344 - 2\/(-14))*-2. Which is the fourth smallest value? (a) 0.07 (b) -2 (c) 0.5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 446140080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 254 minutes after 4:30 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1487\/1235 - 1\/247. Which is the nearest to 0.1? (a) y (b) 2\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6 - -21. Suppose -4*s = s + m. Suppose -4*n - 4*q + 4 = 0, -3*n + 2*q + 0*q - 12 = 0. Which is the closest to 0.1? (a) n (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes after 12:54 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c**2 - 8*c + 10. Suppose 5 = 2*g - 1. Suppose 0 = -g*j + 11 + 10. Calculate the remainder when j is divided by h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 2*k**2 + 2*k - 3. Let n be (-2)\/6 - 4\/6. Let g = 1 - n. Suppose -4*c = g*j + 16, -2*j = 2*j + c - 3. Give a(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -104*m = 137*m + 101124 - 110041 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7*v + 55 - 6 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4 + -5d?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 396, 388, 380, 378, 388?\n\"Answer: v**3 - 6*v**2 + 3*v + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*h - 2*h = 1651. Is h equal to -127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6711\/(-18) - (-3)\/(-18). Let f = -242 - q. Let x = f + 59. Round x to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n*n**(4\/15)*n)\/n)\/n*n**(-1\/2) assuming n is positive.\nAnswer: n**(23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -24922 - -24927. Let u(f) = 34*f - 29. What is u(k)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 249766, 250754, 251744, 252736, 253730, 254726, 255724?\n\"Answer: n**2 + 985*n + 248780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 2*y**2 - 4*y. Let q be h(3). Let k(j) = -18 - 11 - 6 + 7*j**2 + 49 - 8*j. Let l(a) = -15*a**2 + 16*a - 29. Let o(x) = -13*k(x) - 6*l(x). Give o(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -3*o**3 - 3*o**2 - 2*o - 19. Let q(b) = 2*b**3 + 4*b**2 + 2*b + 19. Let s(d) = -5*q(d) - 4*x(d). Let k = 0 - -6. Does 23 divide s(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 0*l = -a + 8, 10 = -4*a - l. Let f(x) = -8*x - 9. Let d(o) = 12*o + 13. Let i(h) = -5*d(h) - 7*f(h). Give i(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 17*i*r**3*y + 3121*i*r**3 - i*r*y**2 - 74*r**3*y**2 - r**3 - 3*r**2*y**2 wrt y?\nAnswer: -2*i*r - 148*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find k such that k**5\/6 - 187*k**4\/6 - 3901*k**3\/6 - 2765*k**2\/6 + 2996*k - 1854 = 0.\nAnswer: -18, -3, 1, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*s - 0. Let q be (((-3)\/(-9))\/(-1))\/s. Let y = -5.479 + 5.979. Which is the third smallest value? (a) 1 (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) be the first derivative of f**4\/12 + 2*f**3\/5 + 2*f**2\/5 + 3*f - 3. Let y(b) be the first derivative of q(b). Let y(u) = 0. Calculate u.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 60555133501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) be the third derivative of 7*p**6\/720 - p**5\/60 + 25*p**4\/24 - p**3\/6 + p**2 + 8*p. Let q(o) be the second derivative of w(o). What is q(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from evhvvhhhvdyyvavyyv. Give prob of picking 1 h, 2 y, and 1 e.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 + -324?\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v be -63*(-44)\/(-55)*10\/(-28). Let q(i) = -6 - i**2 + 2*i**2 + 5. Let j be q(2). Solve -y + v = -5*x, 5*y - 2*y - j*x - 6 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = v - 10 + 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00317990146 plus 9?\nAnswer: 9.00317990146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2 + ((-621)\/2)\/((-45)\/42420). Round v to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3208*((-315)\/(-6))\/(-15)*(-1)\/14 is divided by 74.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*d**2 - 27*d + 45*d - 18*d.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -58 - 3 - (-11 - -2 - (133 + -151) - -2)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8 + -12. Let w = 9 - 13. Let u = -4 - w. What is the second smallest value in u, -1\/9, d?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11102122112 + -12?\nAnswer: 11102122100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the first derivative of -2*f**3 - 2*f + 11. Find the first derivative of n(s) wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -19732 (base 10) to base 7\nAnswer: -111346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6360 - 4649. What is the remainder when t is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 10252 and 5199628?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(405)*-2 + sqrt(5) + 5.\nAnswer: -17*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*l**2*u + 2*l**2 - 6*l*u + 157*l + 336*u + 2 wrt l.\nAnswer: 4*l*u + 4*l - 6*u + 157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 1001110 (base 2) to base 5.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in 0, -3, -0.05, 44, -2\/1601, -2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -g**3 - 3*g**2 - 6*g + 92. Calculate w(5).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 1, i: 12, d: 6}. What is prob of picking 1 i and 1 d?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -0.4, 1, -1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8444*p**2 - 3*p**3 + 4*p - 8444*p**2.\nAnswer: -3*p**3 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Add together -3 and 1078916.\nAnswer: 1078913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be (744\/9)\/(1\/264). Let s = 38826 - h. Suppose -s = 207*t - 209*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1853053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -29736947.96 to the nearest one thousand.\nAnswer: -29737000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -832319892*t. Let p(m) = m**2. What is p(v(c))?\nAnswer: 692756402618891664*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 4.3 * 8.\nAnswer: 34.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 578 + -542. Let z be (2\/(-15)*-6)\/(l\/(-18)). Let m be (-3)\/((2\/1)\/2). Which is the closest to -1\/4? (a) z (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-26)\/24 - -1)\/(21\/(-56))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -401.1 times 0.0268?\nAnswer: -10.74948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 163, 3, -358, 15 in ascending order.\nAnswer: -358, 3, 4, 15, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express n**3 - 3*n**4 + 88*n + 4*n**4 - 11*n + 76*n + n**2 - 37*n as i*n**4 + v*n**2 + h*n**3 + x*n + a and give x.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2 - (-188)\/(-8))*-2. Let l = c + 65. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y - 1. Suppose 5*a + 5 = 0, 0 = -7*z + 3*z + a + 1. Suppose -q + z = -5. Let b be l(q). What is the highest common divisor of b and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.13 + -0.11. Is p smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k + 5*r - 10 = 0, -905*k - 5 = -903*k + 5*r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 2, 304024 in ascending order.\nAnswer: 2, 3, 304024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -23075634 rounded to the nearest 1000?\nAnswer: -23076000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) be the second derivative of t**3\/6 - 3*t**2 - 2*t. Let x be k(7). Let d be x\/((-18)\/21) + 1. Is d <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 430 minutes after 11:37 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -2197056114 - 339393.\nAnswer: -2197395507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zaazaazzzz. What is prob of sequence aa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -6667200 to the nearest one hundred thousand.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 1, v: 2, i: 1, y: 1, j: 5}. Give prob of sequence jihv.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -3 (b) 0.5 (c) -77 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -dc2 (base 15) in base 11?\nAnswer: -2375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m*m\/m**(2\/5)*m)\/m*m**(-1\/30)\/m*m*m)\/(m**(1\/15)\/(m**7*m)) assuming m is positive.\nAnswer: m**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -287*d**3 + 940*d + 540*d**3 - 243*d**3 - 6*d**2 wrt d.\nAnswer: 60*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1702 - 2573?\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y**3 + 3*y**2 + 6*y - 5. Let g be n(4). Let x = 29 + -35. Let d be 21 + (x\/10)\/((-7)\/35). What is the greatest common factor of g and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -43 - 43. Let r = -57 - x. Calculate the remainder when 54 is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 19aa + -2?\nAnswer: 19a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -4*z**3 + 7*z**2 - 6*z - 6. Let x(a) be the third derivative of 11*a**6\/120 - a**5\/3 + 17*a**4\/24 + 17*a**3\/6 - 110*a**2. Give 17*o(i) + 6*x(i).\nAnswer: -2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 191468107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -207, 3, 213, 423, 633?\n\"Answer: 210*y - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + (-16 - -8) - (1 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.15689, 4, 75\/4, -1?\nAnswer: 75\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1024\/7 - -146. Let l = 8 - 8.3. Let t = l + -0.4. Which is the third smallest value? (a) t (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2479*z = -2461*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -175 - -100. Let k = i + 205. What is the remainder when k is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2086 is divided by 123?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2875 is divided by 743?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 886 is divided by 171.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 4*k - 110. Let b be z(28). What is the greatest common divisor of b and 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12 - (21 - (5 - -11))) + -60 - (11 - -4)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c\/c**(2\/3)*c**9)\/((c*c**(1\/4)\/c)\/c)**(1\/35))**(3\/7) assuming c is positive.\nAnswer: c**(4349\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, 45, 30, 9, -8.\nAnswer: -8, -5, 0, 9, 30, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2*i - 1 + 1)*(-1 + 1 - 1) + (-3 - 3 + 5)*(-10 - 24*i + 10))*(13 + 12 + 2 + (-3 - 3 + 4)*(1 + 0 - 2) - 3 - 2 + 3).\nAnswer: 702*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*d**2 + 3*d - 30*d + d**2 - 10*d**2.\nAnswer: -3*d**2 - 27*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*o - 17*o - 18006*o**3.\nAnswer: -18006*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 63*w - 4408. Let d be f(70). Let v(u) be the third derivative of 4*u**d + 0 + 1\/54*u**4 + 1\/27*u**3 + 1\/270*u**5 + 0*u. Factor v(x).\nAnswer: 2*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 101*a**2 - 2. Let g(j) = -43688*j. What is l(g(r))?\nAnswer: 192772775744*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the third derivative of d**4\/12 + d**2. Let a(c) = -476*c**3 - 2*c**2 - 3*c - 2. Let l be a(-1). Let h(k) = 3*k**2 - 475 + l. Calculate h(u(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = -45.6 + 45.56. Sort 1, d, 0.5 in decreasing order.\nAnswer: 1, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-24327)\/(-408) - 60)\/((-1)\/(-4)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 6.60846ng?\nAnswer: 0.00000660846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -31 in 5, 13.1, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 18792 and 112984.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (i + 0*i - 3*i)*(-3 - 16 - 23) to the form n + v*i and give v.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 173\/60 and 31\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43*z + 11 - 17*z + 25*z + 0*z.\nAnswer: 51*z + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 670, 647, 608, 553, 482, 395, 292?\n\"Answer: -8*i**2 + i + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5 and 0.306?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 105*n**5 + 513*n**4 + 75*n**3 - 2097*n**2 - 1728*n - 324 = 0.\nAnswer: -3, -3\/5, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 5*i + 5*a - 43 = 0, 5*i - 4*a = -47. What is the tens digit of 1039 + (-3)\/21*i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4523043 (base 7) in base 4?\nAnswer: 2020311231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*a + 11396 = -4*a. What are the prime factors of a?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 161 + -167. Calculate the common denominator of 131\/156 and ((-20)\/k)\/((-148)\/555).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11101020 + -121?\nAnswer: 11100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jvk when three letters picked without replacement from {k: 2, v: 1, j: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**3 - z**2 + 1. Let u(t) = 12*t**3 - 2*t**2 + 2. What is 2*j(q) - u(q)?\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 13349*c - 5947. Is x(52) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -42 - 37 - 43 + 141 - 3*k - 35 to the form d + x*k and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 212669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4606 + 6250 = 8*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (396*c**2 + 586*c**2 + 32*c**2)*(0 + 3 + 1) as s*c**2 + z + i*c and give s.\nAnswer: 4056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + (-41 - -38) - -23?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c - 2*b = 0, -5*c + 4*c - 3*b + 5 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-1*sqrt(2904))\/(-4*-3*sqrt(12)).\nAnswer: -11*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (b - b + 2*b)*(4*b**2 - 2*b**2 + b**2) - 38 - 24 - b + 76 - 7*b**3 - 2*b**2.\nAnswer: -b**3 - 2*b**2 - b + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 174*x + 18111. Calculate a(-82).\nAnswer: 3843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -501035\/24 or -20877?\nAnswer: -501035\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (45\/12 + -3)\/(4*90\/7920).\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -191\/5 - -38. Suppose -3*p = -2*c - 8, 4*c - 6 = -5*p - 0*c. Sort p, r, 13 in increasing order.\nAnswer: r, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3*b**2*t**2 + 2*b**2*z + 14*b**2 - 6*b*t**2*z - 13*b*t*z + 21*b*z - 2 wrt t?\nAnswer: -6*b**2*t - 12*b*t*z - 13*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - -4 - (3 + (-1 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 140, 281, 420, 557, 692, 825, 956?\n\"Answer: -l**2 + 144*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be -2*1 + (-4)\/(-2). Let i(q) = q**3 - q**2 + 2*q - 4. Let g be i(m). Is g*2\/(-4) - -401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that -v**3 - 35*v**2 + 152*v - 156 = 0.\nAnswer: -39, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -26 - -29. Suppose -a = -2*w + 1, -s*w + w + 4*a = 14. Suppose -4*k + 106 = -2*n, -w*k + 127 = -n + 48. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9994656 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-11\/3)\/(((c\/((c*c**(-25))\/c*c))\/c)\/c))\/(c\/(c**18\/c))**(3\/4) assuming c is positive.\nAnswer: c**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-466 + 152 - 170 + 57)*(f + 3*f - f).\nAnswer: -1281*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (4\/(-4))\/(2\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -12624*(-17)\/(255\/31250). What is c rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 5*x + 75 = 0, -2*y = -2*x - 3*x - 9. Is 5 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3286 and 2112712?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g + 26 = -2*b, 2*g - b = 5*g + 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 35033 or 34975?\nAnswer: 35033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -133839119*b**3*o**2 - 2*b**2*o**2 - 2*b**2*o + 2*b*o**2 + 6*b*o - 10*o**2 - 4*o wrt b.\nAnswer: -803034714*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.3 - 0. Let g = -5 + 8. Let i = g + -2.5. Sort -0.4, i, n in ascending order.\nAnswer: -0.4, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j**1*j)\/j*j)\/(j\/j**(2\/3)*j))**37*j**(-2\/3)*j*j**0*j**(-4\/9)*(j*j\/j**(-7)*j*j)\/j assuming j is positive.\nAnswer: j**(311\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 15254028 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1651, 6923, 15813, 28321, 44447?\n\"Answer: 1809*w**2 - 155*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 2\/75 of a week?\nAnswer: 16128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p - 10 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (0*d**2 + 0 + 3 - d**2)*(-14 - 20 + 3)*(-2 + 2 + 2) in the form a + b*d**2 + o*d and give b.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -85*n**2 - 1446*n - 40. Determine i(-17).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 226116 and 21868.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -6, -2\/741, -1\/4, -3 in increasing order.\nAnswer: -6, -3, -1\/4, -2\/741, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 0.04029 times -2\nAnswer: -0.08058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((o**0*o)\/o)**43*o**(2\/13)*o**(-5))**(10\/13))**(-1\/6) assuming o is positive.\nAnswer: o**(105\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 597601.1 centimeters?\nAnswer: 5976.011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 402 and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -230, -934, -2108, -3752, -5866?\nAnswer: -8450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.2 + -0.3. Let o = -298217\/119 + 2506. Let i = -37\/119 - o. Which is the closest to i? (a) 0.5 (b) n (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -102497 and -102497 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 2.522935cm?\nAnswer: 25.22935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be (38 - -6)\/(6\/45). Calculate the highest common divisor of 30 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -59 + 61. Let h(a) = 2*a**2 - a - 3. Let q be h(c). Solve -u = -q*v - 11, 3*u = u - 5*v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 2 m, and 1 c when four letters picked without replacement from icyxymkcycm?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 2636 = -2640. Let d(t) = -t**2 - 7*t - 1. Let y(o) = o**2 + 8*o. Let q be ((-2)\/3)\/(6\/(-27)). Let x(c) = q*d(c) + 2*y(c). What is x(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(2\/7)\/u)\/(u**(-1\/12)\/u*u)*(u\/u**(1\/4)*u)**(1\/6)*(u**(5\/2)*u*u**8)**(-8\/5) assuming u is positive.\nAnswer: u**(-5247\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -p**2 - 8*p + 2 - 5 - 7. Let h(z) = -9329*z - 111953. Let g be h(-12). Determine c(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*s**2 + 1815 - 910 - 905.\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -43926.8086 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a**(-2)\/a)\/a)\/(a\/a**(-6))*a\/((a\/(a*a\/((a*a*a**(-2\/17)\/a*a)\/a)*a))\/a)*a**(1\/2)\/a)**(-2\/67) assuming a is positive.\nAnswer: a**(285\/1139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2752119?\nAnswer: 3, 191, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 38420.\nAnswer: 2, 5, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -111\/1532168 and 69\/64.\nAnswer: 12257344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 110 + 11200211202020022?\nAnswer: 11200211202020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -55 + 62. Let b(h) = -3*h + 23. Let r be b(m). Suppose 2*l + k - r = -0, 3*l = -k + 5. Solve 0 = l*n + n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - 15) + 3 + (-28 - -47).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00175813295 rounded to 7 decimal places?\nAnswer: 0.0017581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 92*u - 1076 + 340 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*m - 4*t - 14 = 2*m, -15 = m + 4*t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1051219*x - 3804106 wrt x?\nAnswer: -1051219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fo when two letters picked without replacement from ffffroo?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -241162814 - 11.162?\nAnswer: -241162825.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from fuuuufuufuuffufuuu.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 12 + 0. Calculate the greatest common factor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*q - 42*q - 2*q - 15*q + 12*q + 2*q.\nAnswer: -40*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20097 is divided by 2615?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = 18 + -11. Calculate the greatest common factor of 14 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4862 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 657 minutes after 2:02 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 2280425 (base 9) to base 7\nAnswer: 13326062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r**3 - 13*r**2 + 7 - 2 - 9 + 4 + 4. Give h(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*h**3 + 5*h**3 - 3*h**3)*(1 + 34 + 21).\nAnswer: -56*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1723 is divided by 694?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 13238*l + 692790 = 6640*l for l.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 3853352, 3853349, 3853346, 3853343, 3853340, 3853337?\n\"Answer: -3*m + 3853355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-9)\/(-6))\/(6\/8). Let l = s + 8. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 121, 1, -3 in increasing order.\nAnswer: -3, 1, 5, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 1383*f - 4613. Give v(3).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12.3 - -12. Let u = -2.7 + m. Let f = u + -1. What is the second biggest value in -1\/8, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p + 17. Let d be k(-13). Let z be (d - (-152)\/(-36)) + (-1)\/(-3). Let s = 1.9 + -2. Put s, -2, z in increasing order.\nAnswer: -2, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-276)\/120 + 2)\/(620\/125 + -5).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 0 - 3\/(1 + 11)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*k - 16 = -16*k. Let m(l) = -l + 0*l + k + 1. Calculate m(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - (-9 - ((2 - 6) + 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9)\/6*(-42)\/(-63))\/((-10)\/14250*19)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000017642 to seven decimal places.\nAnswer: 0.0000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3039518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-11)\/(44\/(-24)))\/(-1). Does 5 divide (37\/(-7) - u\/21)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is a in 39*a**2\/5 - 108*a - 84\/5 = 0?\nAnswer: -2\/13, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 33\/65 and -49\/45.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-389)\/3)\/(1\/3). Let q = w + 404. Solve 2*n + n = -q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -13032201122 + 2?\nAnswer: -13032201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, o: 3}. Give prob of picking 2 p and 1 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 887084 divided by -22.\nAnswer: -40322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wnnnnnnnnwnn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 3*k + 2. Let z = 737 + -732. Let n(t) = z + 38*t - 71*t + 39*t. Give 7*f(o) - 3*n(o).\nAnswer: 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -5 + (8 - 2) + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 986873947 to the power of 1\/3, to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1640374 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1141 + -585. What is the remainder when a is divided by 182?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 164 + -161. Sort 0.4, 2\/79, p, -0.4 in ascending order.\nAnswer: -0.4, 2\/79, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2359430, -2359576, -2359820, -2360162?\nAnswer: -2360602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 + 0 + 23 + (-24 - -27).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -570 divided by -10?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 212189136.\nAnswer: 2, 3, 4420607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.2 and -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*h - 62 = -26 + 120. Let a(y) be the first derivative of -12*y**5 + 0*y**2 - 4\/3*y**3 - 6 - 6*y**6 + 0*y - 7*y**h. Suppose a(d) = 0. What is d?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5661028, -5661045, -5661062?\nAnswer: -5661079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (181 + 12 - 210) + 1*-59.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 42\/5 of a millimeter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -36*k**3 + 3*k - 2. Let r be p(1). Let o = 116 + r. Find the third derivative of 5*h**2 - 96*h**6 - 23*h**2 + o*h**6 wrt h.\nAnswer: -1800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eoovevonnvo. Give prob of picking 2 v and 2 o.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2029032 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 2, u: 1, j: 2, q: 8, l: 2}. Give prob of sequence jll.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-8)\/(-6) + (-1)\/3. Let -d - 5*d**2 + 4*d**2 - 2*d + d - q = 0. What is d?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2342771, 2342948, 2343243, 2343656, 2344187, 2344836?\nAnswer: 2345603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -20418 (c) -3\/4 (d) 2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21363639 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1174 - 1174. Solve h = 31*v - 22*v + 36 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 257\/4 + -64. Suppose 2*z + 2 = -0. Which is the second biggest value? (a) s (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -8.9981 and -542.\nAnswer: 4876.9702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 51 and 4149751.\nAnswer: 12449253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-3)*x**1)\/(x\/(x\/(x\/x**5))*x**(-2\/5)) assuming x is positive.\nAnswer: x**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from wcccowoowcooocooc.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 31, 90557 in decreasing order.\nAnswer: 90557, 31, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -6425*g + 160620. Calculate n(25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Is 24720169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 349*s - 3131*s - 29910 - 67798 - 27482 = 0 for s.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 19957 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by 12349754?\nAnswer: 3\/12349754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 154*f**4*g - f**2*g**2*x**3 - 10*f*g - 9*g**2 - 3*g*x**3 wrt f.\nAnswer: 1848*f**2*g - 2*g**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand -11 + 11 + 10*m + (3*m + 3 - 3)*(-3 + 2 + 2 - 3 - 1 + 1 + (-4 + 3 - 3)*(3 + 3 - 4) + 3 - 4 + 0) + (m + 3*m - 3*m)*(3 + 0 - 2).\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 304891 is divided by 23453.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:08 PM and 8:14 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (-3 - (-4 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 0 - 9324288?\nAnswer: -9324288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30\/(-8)*714\/595*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2.3 - 7.7. Which is bigger: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 4, -6407 in decreasing order.\nAnswer: 4, -2, -6407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -4824*b + 4762*b = -558 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 10 = -5*k, 4*k - 7 = -4*y + 41. What is the second derivative of -k + 43*j**5 + 50*j**5 + 8*j - 12 - 9*j wrt j?\nAnswer: 1860*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p + 4*p - 3*p + (-9 - 1 + 2)*(-3 + 3 - p))*(7*p**3 - 3*p**3 - 2*p**3).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sps when three letters picked without replacement from vvqpqpvpssspvvspvvv?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 2703 divided by -4407?\nAnswer: -901\/1469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f - 1. Let k(h) = 79*h + 3. Let s(b) = 35*b + 2. Let c(n) = -6*k(n) + 13*s(n). Give -c(m) - 6*g(m).\nAnswer: 13*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22237*f**2 + 22188*f**2 - 44952*f**2.\nAnswer: -527*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -22 and -1.72?\nAnswer: 37.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 31663963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 827 = 4*p - h, -p - h + 0*h + 208 = 0. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 89 + -84. Suppose -2*c + 3*c + 1408 = 3*n, j*c + 1881 = 4*n. Suppose 2*y + 5*y - n = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -12*((-15)\/(-6))\/(-5). Let d(z) = -z**2 - 3 - 6*z + 4 - x*z. Let m be d(-9). Solve 5*u = -f + m, 4*u + 4 = -f + 27 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-90)\/(-8) - 42\/35*15\/(-24). Solve 4*x + 28 = 5*z, 8*x + 8 = 4*z + f*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(9\/5)*f)\/f)\/f*(f\/((f\/f**(1\/8))\/f))\/f*(f\/((f*f**5)\/f))**(-13) assuming f is positive.\nAnswer: f**(2117\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 689246072 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-2\/5)*p*p**(2\/9)*(p\/(p**(1\/5)\/p))\/p**(-1\/5))**47 assuming p is positive.\nAnswer: p**(5969\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3, -47884\/13, -0.4, -1\/5, 2\/9, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -300.6 + 301. Let y = 276 + -5242\/19. Sort 0.2, y, f, -2\/9 in descending order.\nAnswer: f, 0.2, y, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -6, 4\/5, -3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -731 divided by -3075.\nAnswer: 731\/3075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -18\/581957?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -h**2 + 11*h + 1. Let k(i) = i**3 - 5*i**2 + 5*i + 1. Let j be k(4). Let u be r(j). Let o = u - -72. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1c51 (base 13) to base 12.\nAnswer: 2597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q**3 + 10*q**2 - 9*q - 1. Let g be c(9). Let t = 4 - 0. Let s = g + t. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -5 - 9 - 15 + 33*j + 40 wrt j?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j**2 - 11*j + 21. Let f be -4 - 0 - -7 - 15. Let x be w(f). Let d be (x + -11)*(3 + -6). Solve -2*o - o = d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 26250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1\/3 + (-2893)\/(-33). Let q = -72 + j. What is the highest common factor of q and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1527 - -707. List the prime factors of k.\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 5 = 11. Put k, 5, -2, -4 in decreasing order.\nAnswer: 5, -2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 16559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -4.91 (b) 1.43 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lllowowwlllwlwl. What is prob of picking 1 o and 2 l?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -11200120210 (base 3) to base 15\nAnswer: -1c520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 371 a factor of 30335186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1020 is divided by 151.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 6460714 < 6460714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -2*sqrt(2299) + (sqrt(2299) + 1 + sqrt(2299))*6 + ((-2 + sqrt(2299) + 1)**2 - 2*(sqrt(2299) + -1)).\nAnswer: 66*sqrt(19) + 2303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the second derivative of i**5\/20 + 7*i**4\/12 - i**3\/6 - i**2\/2 - 18*i. Let d(k) = -1523 - 1525 + k + 3049. What is -c(r) - d(r)?\nAnswer: -r**3 - 7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2323*h**5 + 4*h**2 - 41092*h?\nAnswer: -46460*h**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 65963779309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 5 = p, -b - 1 = 2*p + p. Let t = -3 - -11. What is the least common multiple of t and ((-2)\/4)\/(p\/(-32))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -9*q. Let f(h) = -4*h + 4. Calculate f(a(j)).\nAnswer: 36*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0 times -0.12066?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*t**2 + 16*t**2 + 17*t**2 + 12*t**2 + 16*t**2 - 58 - 86*t**2.\nAnswer: -5*t**2 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.089 - -0.053. What is the second biggest value in m, -1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -692, -695, -696, -695, -692, -687, -680?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 7*d - 3. Let q(x) = -8*x + 4. Let b(n) = -7*n + 4. Let w(u) = 4*b(u) - 6*q(u). Let s(f) = -7*c(f) + 2*w(f). Differentiate s(l) wrt l.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -56 - -96. Calculate the greatest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.12157633 - 7012.41.\nAnswer: -7014.53157633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 16 and 36136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -228*n**2*t - 248124*n**2 - 19*n*t wrt t?\nAnswer: -228*n**2 - 19*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r - 4. Let q be a(6). Suppose -q*u + 10 = 3*x, -4 = -2*u - x - 2. Which is bigger: 2\/7 or u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = 3*a - 21, 10*a - 3*h - 19 = 5*a. Let x(c) be the third derivative of 3*c**6\/40 + c**5\/60 - 53*c**2 - 7*c. What is the tens digit of x(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -414*v + 1233*v - 37*v**3 - 6*v**3 - 819*v.\nAnswer: -43*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -151\/56552418 and 7\/10472670.\nAnswer: 282762090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = 999 + -999.0259. Is -1 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 347*l - 346*l = -4*r - 13, 3*r = -2*l - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 41250 + -26237. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -3*v. Let a be ((-6)\/12)\/(2\/(-12)). Let s(l) = a*l**2 - 3*l**2 + 4*l**2. Give s(h(c)).\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*h**4 - 3*h**4 - h**4)*(2*h - 4 + 2 - 3*h) - 516*h**5 + 1006*h**5 + 1755*h**5.\nAnswer: 2246*h**5 + 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -22 - -96. What is the remainder when k is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*c**4 - 2920*c**3 - 538708*c**2 - 2119920*c - 2108304 = 0. Calculate c.\nAnswer: -363, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve v = -s + 6, 2*s - 12 = -469*v + 473*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the second derivative of -5*d**4 + 2*d**3\/3 - 3*d**2 + 18*d. Find the second derivative of j(z) wrt z.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m**3 + 6*m**2 + 1. Determine o(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - o = -13 - 0, -2*o = 4. Let t(n) = 5*n + 13. Let s be t(5). Let d be 133\/s + 1\/(-2). Solve -3*r = -3*c - 3, d = k*r - 0*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -835 - -239. Let o = 595.999757 + y. Round o to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -145918 to the nearest one hundred.\nAnswer: -145900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0*((9\/(-2))\/(-3) + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**3 - 2*g + 456. Let i be q(0). Let m = 457 - i. Let r be (-6)\/(-3) - 1 - -1. Sort 12, m, r, -4.\nAnswer: -4, m, r, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mphmcmrmrcmrmmmwmm. What is prob of sequence cp?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23339 is divided by 129?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = 175*k - 180*k, -4*w = -6*k - 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 4*z**3 + 3*z**2 - 7*z - 1. Let d(w) = -5*w**3 - 4*w**2 + 8*w + 1. What is 4*a(r) + 3*d(r)?\nAnswer: r**3 - 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 48154758?\nAnswer: 2, 3, 8025793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pccppccycccwpayc. What is prob of sequence cy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -3*y**3 - 2*y**2 + 4. Let g(i) = 4*i**3 + 2*i**2 + i - 4. Let c(o) = -2*g(o) - 3*k(o). Let p be c(-2). Solve p = -2*r - 0 + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u + 7*u - 18 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4564 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1407910.069994 - -1407912. Let h = -1.93 + o. Round h to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 618*j**2 - 2*j - 2*j - 1 + 2*j.\nAnswer: 618*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 3140238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 436 - 4*c + 2*c**3 + 2*c**2 + 2*c - 440 in the form u*c + w + y*c**2 + l*c**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the second derivative of 1\/40*p**6 - p - 9\/80*p**5 - 1\/8*p**3 + 0 + 3\/16*p**4 + 0*p**2. Factor j(i).\nAnswer: 3*i*(i - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1031.58 > -92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 3*i = -10, -2*n + 4*i = -18 - 10. Let v = 8 + n. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y and 1 s when three letters picked without replacement from {j: 3, y: 5, s: 1, m: 3, g: 1, k: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r = 6, -672*j + 19 = -670*j + 3*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrrrfrrkrrukrrreurrr. What is prob of sequence kuf?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 4*v = -1076, 2*t - 4*v - 1554 = -t. What is the remainder when t is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-2)\/b)**(7\/5)*b*b*b*b**(-3\/4)*b\/(b**(-1\/12)\/b) assuming b is positive.\nAnswer: b**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3359237489?\nAnswer: 5791, 580079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -1 + 1 - f + 4 + 0. Let p be g(-2). Solve -t + p = -2*c, -2*c - 9 = c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 9800140 and 0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 26 + -1. Calculate the highest common divisor of l and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the second derivative of w**8\/2240 - w**6\/360 - w**4\/3 - 4*w. Let i(n) be the third derivative of x(n). Find the second derivative of i(p) wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -74 - -86.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 30575777 - 30575770.4999685. Let z = -6.5 + g. Round z to 6 dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 3*z**2. Let q(w) = -w**2 + 6*w - 5. Let p be q(4). Suppose -27 = -p*g + 12. Let v(k) = -g*k + 0*k**2 + k**2 + 13*k. Calculate v(n(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 61476*z - 3*z**2 + 5*z**2 + z**3 - 3*z**3 - 61357*z to c*z + r*z**3 + x*z**2 + u and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let o = -16 + 87. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23686.\nAnswer: 2, 13, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3499132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5 + 2f?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the first derivative of -19\/3*q**3 - 1\/7*q**7 + 0*q**4 + 0*q**2 + 2*q**6 + 25 + 0*q + 0*q**5. What is the third derivative of s(v) wrt v?\nAnswer: -120*v**3 + 720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -29.3698 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (-26 - (3 - 12) - -7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 3\/2, -1\/2, -103, -0.03?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2412\/8393 - 2\/1199. Which is the biggest value? (a) q (b) 1 (c) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -41 - (-27 - -15) - -49?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -213333111212 (base 4) to base 14\nAnswer: -156c4d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000176789436 to 7 dps.\nAnswer: -0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Solve 3*g**5\/4 - 27*g**4\/4 + 51*g**3\/4 + 27*g**2\/4 - 27*g\/2 = 0 for g.\nAnswer: -1, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 16 and (81\/15)\/((-6)\/(-20))?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -39, -31, -9, 33, 101, 201, 339?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3\/2*b**4 - 9\/4*b**2 + 3\/8*b + 0 + 27\/8*b**3 = 0. What is b?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20)\/(-18)*18\/80*-10.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + (-5 - 366\/(-60)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -1.6077 * -0.67\nAnswer: 1.077159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u = -5*m + 10, -4*m - 3*u - 1594 = -1604 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -24 - -13. Suppose -95 = 3*b + 4*a, 4*b + 3*a = 5*a - 90. Let p = -22 - b. Sort i, p, -1 in ascending order.\nAnswer: i, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 170685 - 55815. Round f to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*d = 30 + 18 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 118983.87 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 510\/136*15\/(-360)*-4.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2\/12*2 - 4620\/(-45) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 101861484 and 22.\nAnswer: 1120476324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 8*a**3 + 3*a**3 - 7*a**3 + (5 - 5 + 1)*(5*a**3 + 0*a**3 - 2*a**3) + (0*a**2 - a**2 - a**2)*(3*a - a + 0*a) - 3*a**2 - a**3 + 3*a**2.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 21396.68 times -0.35?\nAnswer: -7488.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -8, -10, 1, -1 in descending order.\nAnswer: 1, -1, -2, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -21 in -2267, -0.08, 0, 1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-8)\/(-9)*(-72)\/(-150). Let n = 2\/75 - t. What is the second smallest value in -0.2, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -8343812 by 3838.\nAnswer: -2174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 38*f**2 + 108*f**2 - 175*f**5 + 64*f**2 - 34*f**5 wrt f?\nAnswer: -12540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 420 - 223. What are the prime factors of m?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 161530 - 161530 + 0*n**2 + 0*n**2 + 56256*n**3.\nAnswer: 56256*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 4 - 3 + (-3 + 8 - 1)*(1 - 4 + 2) - 27 + 0 - 2)*(2*x**3 - 2*x + 2*x).\nAnswer: -68*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(114)*5)\/(sqrt(6) + sqrt(162)\/sqrt(3)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 97\/1140 and -157\/15390?\nAnswer: 30780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 252 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2841 is divided by 205?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**3 - 3*q**2 - 5*q + 3. Give w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 19*r - 35*r - 38 + 2*r**2 + 6604*r**4 + r**3 + 18*r - 6608*r**4 in the form t*r**3 + y*r**2 + f*r + l + i*r**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 1044780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5 + -1. Suppose 159*k - 12 = 147*k. 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: Let b = -494\/11 + 6444\/143. What is the biggest value in -3\/5, 16, b?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 6572*f**2 + 3*f + 9. Let w be s(-3). Let o = 19648 - w. Round o to the nearest one thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35044.\nAnswer: 2, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g - 246 + 657. Let c = 65 + g. Let q be c\/(-34) - (-8)\/(-68). What is the second smallest value in q, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 12 + -7 + 46 + 10 - (-12 + 1)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 42090 and 65150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 1000, -3, 5, -5, -2 in increasing order.\nAnswer: -5, -3, -2, 3, 5, 1000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -137 in 1\/3, -5, -1, 5, -28\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*m - 659 - 163. Does 42 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1345764 and 31968.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1\/5)*t*t**(-4)\/t*t*t*t)**3\/(t**(2\/7)*t*t\/(t*t*t**2*t)*t**(-2\/5)\/((t*t\/(t*t\/t**0))\/t)) assuming t is positive.\nAnswer: t**(-52\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/5 + (-21)\/35. Let p be 1 - 0*z\/3. Let t = 4 - p. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:54 AM and 4:05 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**3 + 16*j**2 + 8*j - 104. Let u be o(-15). Put 0.3, -22, u, 1\/14 in descending order.\nAnswer: u, 0.3, 1\/14, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -5, -6, -11 in decreasing order.\nAnswer: 2, -5, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (20*v**2 - 225*v**2 + 47*v - 47*v)*(-4 - v + v + 3*v) to the form n*v**2 + c + p*v + j*v**3 and give n.\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.02263409797 rounded to six decimal places?\nAnswer: 0.022634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -13785.005463072 and 1.4?\nAnswer: 13786.405463072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-8)\/(-34))\/(2\/(-10)). Let v(w) = -6*w**3 + 127*w**2 - 27*w + 124. Let s be v(21). Which is smaller: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 69423179.\nAnswer: 7, 9917597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-6)\/18 + (-25)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 663469 is divided by 760?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -13264*q + 120442 - 247040 = -564958 - 503384 for q.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**3 - 7*b**2 + 3. Let c be j(7). Is (c + -4)\/(1\/(-157)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -14.9428 - 2.0572. What is the third smallest value in 6, w, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6\/37, 17, 1.57.\nAnswer: 6\/37, 1.57, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 6108388 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(36) + sqrt(324)\/(2*sqrt(9)) + sqrt(36))\/((sqrt(240)\/sqrt(5))\/sqrt(4)).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i + 1. Let a be s(3). Let d = a - -2. Let o be 2 - d - (1 + 2). Are 1 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -42, -147, -328, -591, -942, -1387?\nAnswer: -1932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -30 (base 16) to base 12\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 110010001 (base 2) to base 10\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5 and 3621030.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-377 - -363)*(-10)\/(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6a (base 11) to base 15.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = u - 0*u + 4*b, -5*b = 5*u. Let m be u\/(9\/21)*6. What is the greatest common factor of m and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -9 + 31. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -3*t - 1. Let x be b(-1). Let n be (-2 + 4 - -2) + x. Suppose -3*v - 5*a = -145, -3*v = -n*v + a + 115. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = r**3 + 25*r**2 - 147*r + 95. Calculate j(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3834 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3086424 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i be -2*((-165)\/(-1) - -4). Let o = i - -633. Suppose -o = -5*n + 5*p, 0 = 9*n - 8*n - 4*p - 50. Is n a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 19*q - 2. Let h(c) = -2061*c + 535. Determine r(h(k)).\nAnswer: -39159*k + 10163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 5\/4, -9, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in -2, 3\/4, 0.57?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 620 minutes after 8:03 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7933241.\nAnswer: 19, 31, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 2*d**2 - 45*d + 34. Suppose 0 = -124*g + 126*g - 44. What is the lowest common multiple of 3 and s(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 14 = -2*i. Let l = 116 - 76. Suppose 3*g - i*g + l = 0. What is the least common multiple of 16 and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*6*2*(sqrt(2268) - (-4 + sqrt(2268))))**2.\nAnswer: 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 3*r + 68 - 11 = 0, 0 = -r - 5. Let l(q) = 5*q - 2. Let k be l(c). What is k rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 8*c**3 + c**2 + 6*c - 3. Suppose 12*t - 4*o - 30 = 9*t, -5*t + 2*o + 36 = 0. Let w(n) = -n**3 - n + 1. What is t*w(y) + g(y)?\nAnswer: 2*y**3 + y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-4)\/(-6))\/(4\/6). Let a(l) be the third derivative of -1\/12*l**4 + 0 + 0*l - 2*l**2 + 0*l**3. Determine a(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3296 + -1777. Is 132\/(-99) + p\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r - c - 26515193, 0*r + 3*r = -5*c + 19886366. Let v be (-6)\/(-8) - 77030382\/8. Let f = v + r. Round f to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6540103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u - 15, 2*u - 57 = 4*i + 5*u. Let o = -14 - i. Suppose j + 2*j + 579 = o*p, -136 = -p - j. What is the remainder when p is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/(-10))\/(4\/(-6)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u + 14*u + 204 = u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*s + 43 = -117 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = 4*y - 0*y - 90, c = -3*y + 77. Suppose -2*v - a + y = 8, -12 = -4*a. Let d(w) = w - 4. Calculate d(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3.2? (a) -3 (b) -2\/11 (c) 0.3 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(22)\/(sqrt(11) + (-2*sqrt(121))\/sqrt(11)) - (sqrt(4)\/sqrt(2)*2 - (2 + sqrt(50))))**2.\nAnswer: 8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1246832 = -4*o - 3*x, -7*o = -x - 850990 - 1330991. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor b**3\/3 + 3346*b**2\/3 + 249964*b\/3 + 1573960.\nAnswer: (b + 38)**2*(b + 3270)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 242881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = -112.963 + -0.037. Let u = -117 - z. Which is the second smallest value? (a) -6\/5 (b) u (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 557 minutes before 10:11 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 + 0. Let x be 359\/7 + j\/(-7). Let d = -10206 + 10223. What is the greatest common divisor of d and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.5 and 8026.\nAnswer: -4013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 510 + 21*d**2 - 510.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes after 6:49 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - (1 + -2) - (-1 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g**3 + 9*g**2 + 9*g + 14. Let q be x(10). Suppose 212 = 3*o + 5*f, 0*f = -2*o + q*f + 178. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 51.9 - 52.529. Let w = 0.129 + o. Sort w, -3, -2 in increasing order.\nAnswer: -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 313*w + 132 = 325*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -37532, -37492, -37452, -37412?\nAnswer: -37372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 2235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -5*(-2)\/(-4)*(3869\/(-73))\/212\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the third derivative of h**6\/120 - 13*h**5\/60 + 13*h**4\/24 - 2*h**3\/3 - 6*h**2. What is the units digit of i(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*b**3 + 117*b + 2 - 115*b + 5*b**3 in the form z + m*b**2 + n*b + y*b**3 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the first derivative of -o**3\/3 - 3*o**2 + 42*o - 15. Let b be g(-10). Let z be 36\/9 - (b - 272\/(-138)). Do z and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the second derivative of -69*s**5\/4 + 589*s**4\/12 + 2436*s. What is the third derivative of v(n) wrt n?\nAnswer: -2070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -80.88 + 81. Let n = a + -0.11999575. What is n rounded to 7 decimal places?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/4, -2, -4 in decreasing order.\nAnswer: 1\/4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 7? (a) 0.031 (b) -58 (c) -0.1 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 33 (base 5) to base 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 13311 = -y, -4*f + 2104 = 2*y - 8546. Let a = -1065 + f. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: d (base 14) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is k in -3*k**5 - 3030*k**4 + 46173*k**3 + 49200*k**2 = 0?\nAnswer: -1025, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-5 + (sqrt(132)*2*5 + sqrt(132))\/(sqrt(72)\/(sqrt(18)\/sqrt(3)))).\nAnswer: -55*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 171861 is divided by 341?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -m + 166 = -3*t + 175, -19 = t - 4*m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (800\/(-175) + 8)\/((-3)\/(42\/(-4)))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-118)\/413*(-13 - 1). Put 1, -8, o in descending order.\nAnswer: o, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the third derivative of y**4\/24 + 7*y**3\/2 - 26*y**2. What is the units digit of d(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 13*l - 9. Let u be h(4). Calculate the highest common factor of 43 and u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h - 5 = -6*z + 5*z, -2*h = 4*z + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 929424 and 929424.\nAnswer: 929424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -4 (base 5) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i + 2*i + 2*i - 15*i - 17*i + 10*i + (-i + i + i)*(-2 - 1 + 2) - 1 - 2*i + 1)*(0*i**2 + 4*i**2 - 3*i**2 + (0*i + i - 2*i)*(4*i - 5*i - i)).\nAnswer: -69*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/((z\/z**1)\/z))**(-2\/39)\/((z**(-4)\/z)\/z*z*z)**(-2\/11) assuming z is positive.\nAnswer: z**(-356\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -1 (b) 4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3 - -4. Let z = m + -2. Let y be 28\/(-7)*(5 + 213\/(-42)). Which is the second smallest value? (a) y (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 142 - 140. Let a be 26 + -3 + y + 2. What is the highest common divisor of a and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7*l**4 - 160*l**3 + 5*l**2 + 457254*l wrt l?\nAnswer: -84*l**2 - 960*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -5 - 10*k - 2 + 12*k + 14*k**2 - 3*k**2. Is o(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 5096398?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from irmisnnr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k**3 + 2*k**2 - 5*k + 7. Let n be 1\/(63\/15 - 4). Is m(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5013, -5015, -5017?\nAnswer: -5019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put together 2312 and -21934521.\nAnswer: -21932209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2629.796 - -4231.823. Let y = -1601 + a. Let n = y + -0.027. What is the biggest value in 0.2, 0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 145*n + 1184 + 411 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -f + 1. Suppose -5*d = -0*d - 15. Let p(a) = -a - 1. Let n(c) = d*x(c) + 3*p(c). Let z(s) be the third derivative of s**5\/30 - s**2. Give z(n(j)).\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -15996900 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 5*j = -j - 26, 3*f + 57 = 5*j. Let d = f - -39. Calculate the remainder when d is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**3\/2 + 83*g**2\/8 + 21*g\/8.\nAnswer: -g*(g - 21)*(4*g + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h**2 - 5*h + 11. Let j be q(5). Let n = 8 - -25. Calculate the highest common factor of n and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -d - -a?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*k**2 + 3*k**2 - 2*k**2)*(-711 - 22*k + 691 + 17*k).\nAnswer: 5*k**3 + 20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((c**(2\/7))**1)**(-19))**(-13))**(-20\/7) assuming c is positive.\nAnswer: c**(-9880\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be (18\/(-4) - -4)*0\/(-3). Factor 0*z - 4\/7*z**3 + o*z**2 + 0 + 2*z**4.\nAnswer: 2*z**3*(7*z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8 + -10. What is the closest to 1 in d, 3\/5, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -29\/2*v - 5\/4*v**3 + 4 + 47\/4*v**2.\nAnswer: -(v - 8)*(v - 1)*(5*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -3*k**5 - 9*k**4 + 162*k**3 - 96*k**2 - 864*k = 0.\nAnswer: -9, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 12*f**3 - 204*f**2 + 1106*f - 1764. Let y(h) = 4*h**3 - 68*h**2 + 369*h - 588. Let k(t) = -5*s(t) + 14*y(t). Factor k(q).\nAnswer: -4*(q - 7)**2*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2042 - -26569\/13. Are n and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00108924 rounded to 5 dps?\nAnswer: 0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ghy when three letters picked without replacement from yghgvgggg?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q**2 + 1. Let l(x) = 5 - 5*x**2 + 0 + 4*x - 3*x**2. Let r(i) = -6*b(i) + l(i). Suppose -3 = 3*g + 6. Let k(j) = j. What is g*k(h) + r(h)?\nAnswer: -2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (-5*sqrt(132)\/sqrt(3))\/((sqrt(32)\/sqrt(2))\/sqrt(4)) - (sqrt(275) + 1 + 2 + ((sqrt(132)*-1)\/sqrt(12))**2 + 0).\nAnswer: -10*sqrt(11) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 72970649093 less than -5?\nAnswer: -72970649098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 10*k*t**3*v**3 + 1176*k*t**3 - 21*t**3*v wrt v?\nAnswer: 30*k*t**3*v**2 - 21*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/8 of a hour in seconds?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -4*q**3 - 20*q**2 + 240*q + 601. Give d(-10).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 20431, 3, -1.\nAnswer: -1, 3, 20431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*j + 67517*j**2 - 66816*j**2 + 5*j.\nAnswer: 701*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jes when three letters picked without replacement from jeejsesejje?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -38913 or -17.27?\nAnswer: -38913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -8 (b) 9\/4 (c) -1\/8 (d) 5 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 50 + (-182 - -33) + 130.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -223, -241, -283, -361, -487, -673?\n\"Answer: -2*d**3 - 4*d - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes after 9:18 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -10*g - 17. Let s be l(-4). Suppose 4*v - 7 = -5*b, -b + 4*b + s = v. Let r(o) = -12*o + 18*o - v*o. Let k(m) = 5*m**2. Give k(r(j)).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*k = -167 + 67. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-8\/9)*b)\/(b*b\/b**(-12)) assuming b is positive.\nAnswer: b**(-125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5603?\nAnswer: 13, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -2*g + 50. What are the prime factors of u(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 582.4 - 581. Is n not equal to 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 65030, -1\/153, -2\/7.\nAnswer: -3, -2\/7, -1\/153, 65030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 59, 118, 173, 224, 271?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 132 = 3*c, -2 = 2*v - 8. Let f(l) = 4*l**2 + 2. Let i be f(-2). What is the greatest common factor of c and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -13*z**2 + 4*z**2 - 3*z**2 + (5*z - 3*z - z)*(-4*z + 2*z + z + (3*z - 2*z - 2*z)*(4 - 6 + 4)) in the form r*z + h + q*z**2 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*w = -8*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-1 + 3 - 2) + -10 + 0\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6\/(-2) + 6\/(-2). Let k be 0 + (-9*2)\/3. Does k = l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -9286 + 9661.1. Let x = -375 + b. What is the third smallest value in x, 328, -5?\nAnswer: 328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 + 7. Suppose -47*x = -52*x - 10. Put x, -1, s in descending order.\nAnswer: s, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve a**4\/6 + 8*a**3 + 149*a**2\/2 + 764*a\/3 + 296 = 0 for a.\nAnswer: -37, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 + 6 = -y. Suppose b + g + 4*g = -7, 18 = 4*b - 3*g. Suppose b*u - 4*u + 15 = 0. Solve -u + 3 = -y*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand g**2 + 3*g**5 - g**2 + (5*g - 5*g - 2*g**2)*(-2 + 2 + 3*g**3) + g**5 - g**5 - g**5.\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1395\/1674*(-108)\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (763\/6104)\/(168\/128).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9*(-7)\/(-189)*-6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uufujyjjyfu. What is prob of sequence jfjf?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16004 is divided by 15782?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: a1a1 (base 13) to base 12\nAnswer: 10a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - (-1 - -22) - (102 + -116)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 199*a - 946. Calculate d(4).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.17, 3, 0, -0.2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p and 1 z when three letters picked without replacement from lzjvkkjppjjpjvk?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 106 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -28 + 30. Suppose -d*o = -v + 9, 4*o - 2*o = 4*v - 24. Which is the nearest to 0? (a) 3 (b) v (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 1425807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*x**2 + 6890*x**3 - 13827*x**3 + 6886*x**3 + 3*x**2.\nAnswer: -51*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2 + -1)*4 - -1. Let w(s) = z*s - 2*s + 3*s - 2. Suppose -3*p + 2 = -2*p. What is w(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(1\/2)*h**(-4\/3))**(3\/16) assuming h is positive.\nAnswer: h**(-5\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 31836, 32769, 33694, 34605, 35496?\nAnswer: 36361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0009496 rounded to 5 dps?\nAnswer: 0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = r**3 + r**2. Determine g(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (23463\/1566 + -15)\/(3\/(-6))?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nnnnnnnnn. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-3)\/(-2))\/(6\/8). What is the closest to 1\/2 in q, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 24 (base 6) to base 5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 34 + 149. What are the prime factors of j?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 14333 + -14322. Sort 37, a, 5 in decreasing order.\nAnswer: 37, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((-2*sqrt(40))\/sqrt(4))\/(sqrt(2) + sqrt(20)\/(sqrt(70)\/sqrt(7))).\nAnswer: -4 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the second derivative of -m**9\/35280 + m**8\/15680 + m**7\/2940 + m**4\/2 - 3*m. Let y(u) be the third derivative of h(u). Find l, given that y(l) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3.865 and 4.26.\nAnswer: -16.4649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = o**3 + 9*o**2 - 10*o + 5. Determine y(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -13 = -c + 3*h - 5 - 3, -2*c + 4*h = -6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (20\/(-4))\/5*(-62 - -95)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 0*d + 180 = -4*d, -5*t = 4*d - 225. Let b be -1 - (5 + -2 + 58). Let n = b - -95. Calculate the lowest common multiple of n and t.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -14059597.4 to the nearest 1000.\nAnswer: -14060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 64711365?\nAnswer: 3, 5, 83, 51977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-813)\/(-105) + 52\/182 - 7*112\/98.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/2, 2034\/17, -2\/3, -2\/259 in decreasing order.\nAnswer: 2034\/17, 1\/2, -2\/259, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 79349.\nAnswer: 79349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -22647633*f**2 - 4196*f + 2546?\nAnswer: -45295266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l be 10 + -5 - (-3 + 2). What is the tens digit of (l\/(-10))\/((-1)\/65)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*j + 36 = -34*j + 381 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -2\/30607?\nAnswer: -2\/30607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1590)\/(-24) + 7 + 2\/(-8). Suppose -367 = -22*v + f. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-16)*f*f**(-1\/15))\/(f**(-1\/10)\/(f**(4\/5)*f)) assuming f is positive.\nAnswer: f**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*j + 1015 = -9*j. Let h(v) = v**2 - 25*v + 7. Let l be h(10). Let w = j + l. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/(-6) - 3576\/18. What are the prime factors of (k\/4)\/((-28)\/336)?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 717059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = -a - 2*b, 4*b = 3*a + 8*b - 82. What is the highest common divisor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (-136 - -54 - -17) + 39\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {m: 1, e: 1, q: 3, z: 2, w: 1, j: 4}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1461140253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -9077, -36297, -81663, -145175, -226833, -326637?\n\"Answer: -9073*t**2 - t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3\/10 (b) -0.70566 (c) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g + 11*g - 8*g = 0. Suppose g = -3*l + 14 + 7. What is the remainder when 26 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 14*a**2 + 14*a - 6. Let d(r) = -5*r**2 - r + 2. Let j(b) = -3*d(b) - f(b). Calculate j(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5? (a) 2\/745 (b) -5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 + 1203300232020?\nAnswer: 1203300232021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 36\/2617 and 61\/490.\nAnswer: 1282330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*((f**(-21\/4)*f)\/f)\/f*f**(-5\/2))\/(f**34*f**22) assuming f is positive.\nAnswer: f**(-255\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8184954.\nAnswer: 2, 3, 179, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.02 + -0.08. Let u = -2.1 - g. Which is the second biggest value? (a) 0.1 (b) 3\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.118 + -0.628. Let d = 1.06 - n. Round d to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b*b\/b**(-2\/11))*b*((b*b**(1\/29))\/b)\/b)\/(b**(3\/8)\/b**19) assuming b is positive.\nAnswer: b**(44603\/2552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -0.1344 - -8841345\nAnswer: 8841344.8656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that -2*a**4 + 302*a**3 - 3964*a**2 + 17728*a - 26304 = 0.\nAnswer: 4, 6, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 5 = -3*t. What is the third derivative of -8*p**2 - t*p**5 + 3*p**2 + 0*p**5 wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -6*j + 3. Let q be g(-10). Suppose -12*o - 27 + q = 0. Suppose -n = -4*u - 18 - 3, o*n - 4*u = 63. Calculate the remainder when 60 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 + -2 - (-15 + 13). Solve 0 = -m*w - 2*w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**2 + 8 - c**2 - c**2. Let z be j(0). Suppose z = 3*a + 2. Solve 4*h + 6 = -a*q, 5*q - 4*h + 0*h = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 3*n = -2*f - 49, 4*n = -f + 84. Calculate the greatest common factor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6067*c + 3067*c = -3094*c - 6110 for c.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 1139652096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Subtract 16.956 from 2224513023.\nAnswer: 2224513006.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/12)\/(13*(-14)\/(-6916)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 1 (b) 3 (c) -52 (d) -0.110023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -55*o**3*u - 10800*o*u - 12062991*u wrt o?\nAnswer: -165*o**2*u - 10800*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 1 p, and 1 u when three letters picked without replacement from xzzxxpzzuuxxuxbux.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -0.4*0.2415\nAnswer: -0.0966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 40 and 45760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8724 rounded to two dps?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5\/118 - 103\/354. Which is the nearest to 3? (a) 0 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h - 8*i + 3*i + 12, 2*i + 9 = -5*h. Let x = 14.75 - -0.25. Let p = x - 14.9. Sort h, -0.3, p in increasing order.\nAnswer: h, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 38*o - 1181. Let i be r(31). Let k(s) = s**2 + 7*s + 5. Let p(c) = -c**2 - 7*c - 4. Let q(l) = -2*k(l) - 3*p(l). What is q(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -13*a**6 + 15*a**3 + 8*a**2 - 12*a - 6. Let k(s) = -s**6 + s**3 - s - 1. Let w(x) = -6*k(x) + v(x). Find the third derivative of w(b) wrt b.\nAnswer: -840*b**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12021 - -2?\nAnswer: -12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 6, p: 12}. What is prob of sequence iii?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 666389962?\nAnswer: 2, 7, 4793, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -a**3 + 13*a**2 - 10*a - 12. Calculate the remainder when 93 is divided by h(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -486*v - 1142. Determine s(-2).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (261 - 290 - 531)*(2 + 0 + 1)*(-2*c + 4*c + 3*c)*(0*c**4 + c**4 - 3*c**4).\nAnswer: 16800*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4 + -3 - (0 + 2 + -4). Solve o = v*a - 8, 5*a - 5 = -o + 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1736 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -2*f**2. Let y(r) = -6355*r**2. What is q(y(j))?\nAnswer: -80772050*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**2. Let s(j) = 4*j**2 - 20*j + 100. Let w(c) = -3*f(c) - s(c). Let h(r) = r**2 - 20*r + 100. Let t(k) = -7*h(k) - 6*w(k). Factor t(l).\nAnswer: -(l - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -2*w - 3. Let i be y(-3). Let m be (-1)\/(0 + -2 + i). Let j = m + 6. Solve 2*a = -2*d - 4 - 0, j*a + 12 = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 3\/124 and 43\/3720.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -2 (c) -756 (d) 2\/11 (e) -3 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 34107 (base 15) in base 8?\nAnswer: 503347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -383, -367, -351?\n\"Answer: 16*u - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) be the first derivative of 95*v**2\/2 - 20*v + 24. What is the units digit of n(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*f + 15*f = 4*t, 4*f - 2*t - 22 = 0. Suppose 3*i - 1439 = -2*g - 370, -f*g = 3*i - 1061. What are the prime factors of i?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + 1*sqrt(832) + -4*-1*sqrt(832) + sqrt(78)\/((sqrt(72) - (sqrt(72) + sqrt(72) + sqrt(72)*-2))\/sqrt(12)) + 4)**2.\nAnswer: 246*sqrt(13) + 21862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 57501600*y**6 + 81649660*y**2 wrt y.\nAnswer: 6900192000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**3 + f**2 + f + 5. Let c = -11 - -29. Let g(q) = -q - q**3 + 4*q**2 + 0*q + c - 14. Let i be g(4). What is o(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -2\/3, -6, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -2*l**3 - 3*l**2 + 3*l - 3. Let f be q(-3). Solve 5*o = k + f, -5*o - 2*k = -6*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**3 + 5*s**2 - 3*s + 1. Let b be z(3). What is the greatest common factor of b and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = -5*q + 2, -5*l - 5*q = -335. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -a + 6. Let p be n(6). Let w(q) = -4*q + 3. Let u(i) = -i - 2. Let j(r) = -3*u(r) + w(r). Calculate j(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that 4*l**2 - 248008*l + 3844248004 = 0.\nAnswer: 31001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract -9065 from -97149.\nAnswer: -88084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose n**2 + 214466292*n\/7 - 61276084\/7 = 0. Calculate n.\nAnswer: -30638042, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 114203405 to the nearest integer?\nAnswer: 10687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 412, 969, 1576, 2263, 3060, 3997, 5104, 6411?\n\"Answer: 5*a**3 - 5*a**2 + 537*a - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-16418)\/(-8))\/((8\/(-20))\/(96\/(-15)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0083 times 0.1?\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -3108 divided by 7\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (0*h + 0*h + h)*(-3*h**2 - 1 + 1) + 47*h**2 - 732001*h + 732001*h + 9*h**3 as y*h**3 + p + b*h + g*h**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1255 + 495. Let t be ((-1)\/2)\/(5\/r). Suppose -4*c + 3*y - 26 = -78, 0 = 4*c + 3*y - t. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -300 by -30.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one eighths of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 216 + -16. Suppose 4*d + 64 = 4*m + a, 5*d + 22 = -m. Let g = m - -66. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -95\/136 and 73\/5848.\nAnswer: 5848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -2*k - 3*k. What is the greatest common factor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.2 and -32?\nAnswer: 38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -n - 7. Let j(v) = 1. Let f(o) = -3*j(o) - m(o). Let p be f(0). Suppose 32 = t - 2*h, p*t - 122 = -2*h + 7*h. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*h + 0*h - 3*h + (-3*h + 0*h + 2*h)*(0 + 4 - 3) + 0 + 0 - 2*h + 13*h - 7*h - 9*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - ((-3 - 7) + 26 + -31 + 10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -22184 at least as big as -1907783\/86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -887195 + 1505305. Suppose 43955 = 17*n - m. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 107 + -107. Which is bigger: p or -8\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31 + -2 - 18 - (11 - (-5 + 6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d**2 - 4*d + 8. Suppose 2*c - 3*n - 1 = -7, -2*c + 2 = n. Suppose 2*h - 7*h = -4*r - 45, 3*h - 3*r - 30 = c. Determine i(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:38 AM and 2:49 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from {e: 4, y: 3, o: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2 + -9673?\nAnswer: -9675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-1)\/2)\/(17\/(-38488))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 102502 - 1?\nAnswer: 102501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -14\/9 (b) -1\/2 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 32\/(-5) + 9\/(-15). Let v(c) = -8*c - 10. Let b be v(h). Suppose -4*x + 0*x + 2*p = -b, x = -2*p + 19. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1139547 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 222*p + 447. What is j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 71568 and 2808.\nAnswer: 2791152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 148814 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be 57\/15 + (4\/5)\/4. Suppose -v*m + 52 = -28. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -68, 7, 2\/475, -2\/7, -4, -0.33 in descending order.\nAnswer: 7, 2\/475, -2\/7, -0.33, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 29\/6*z + 9 + 1\/6*z**2.\nAnswer: (z + 2)*(z + 27)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -345, -364, -393, -438, -505, -600, -729, -898?\nAnswer: -1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30403773.\nAnswer: 3, 3378197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*f**4 + 202*f**3 - 95*f**2 - f - 129444 wrt f?\nAnswer: -8*f**3 + 606*f**2 - 190*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, s: 1, z: 2, m: 1, j: 2, x: 2}. What is prob of sequence zj?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 186*r = 82*r + 110*r - 138 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (848\/5512)\/((-1*4)\/(-2))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(4\/7)*d**3*d)**(3\/5)\/((d**(-2\/3))**(-10\/7))**(-45) assuming d is positive.\nAnswer: d**(228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-7)*x**(1\/2))**(-2\/61)*x**(-5\/4)\/x**(4\/3)*x*(x**(-1\/7)\/x*x)\/x*x*x**(2\/7) assuming x is positive.\nAnswer: x**(-6289\/5124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*f - 3*l - 219, f - 3*l - 1 = 56. Let t = -4 + -25. Let s = -11 - t. Calculate the highest common divisor of f and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -6 (b) -3\/8 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 4*n. Let l(c) = 8*c + 4879. Calculate l(s(j)).\nAnswer: 32*j + 4879","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 24667853 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u be (36\/(-21))\/((-2)\/7). Suppose u*y = 7*y - 19. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**2 - 8*p + 5. Suppose -i + 16 = 2*o + i, 3*o - 2*i = 24. What is the lowest common multiple of a(o) and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - 24\/(-40)*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 0*z**2 + 4*z**2 - 3*z**2. Let h be 10\/(-15) + (-6)\/(-9). Let r(w) = -12 + h*w + 12 + 4*w. Calculate r(a(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9850 and 14640.\nAnswer: 14420400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = 373 + -367. What is the common denominator of (-1556)\/420 + 6 + (-4)\/w and 101\/50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-714)\/56*(-2 - 6\/9). Let l = f - -1270. Suppose 12 + l = 7*t. What are the prime factors of t?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.21 + -367.21. Let z = 365 + d. What is the third biggest value in 3, 5, z, -3\/20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -73909615 divided by 314509\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 50.89068 micrograms?\nAnswer: 0.00000005089068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1683*t**4*y + 575*t**3*y**2 - 3665*y**2 - 169*y wrt t?\nAnswer: -6732*t**3*y + 1725*t**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor s**2 + 997*s - 998.\nAnswer: (s - 1)*(s + 998)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4940 and 832.\nAnswer: 79040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 80152 and 10252.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -40 + (6 - (3 + -20))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 4*x**2 - 12*x + 3. Let t be o(4). Suppose c + t = 40. Solve -6 = 2*b - 4*k - 4, -3*b = 3*k + c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -3367, -6671, -9897, -13003, -15947, -18687, -21181?\n\"Answer: 7*d**3 - 3*d**2 - 3344*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 394*z - 489 + 253 = 946 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 21 (base 16) to base 13.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**3 + 27*y**2 + 52*y - 397. Let q be t(28). Let n = 154 - 99. What is the highest common factor of q and n?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -v**2 + 10*v - 5. Let h be b(10). Let w(z) = 2*z + 6. Let i(s) = 1. What is h*i(l) + w(l)?\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -153 - -1681\/11. Which is the third smallest value? (a) -1 (b) -4 (c) t (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -22.959 or -0.66?\nAnswer: -22.959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 13367 + 8376.29\nAnswer: 21743.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = -15 + 17. Let q be 119\/35 + a\/(-5). Find the second derivative of j - q + 4*j**4 + 1 + 2 wrt j.\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -160, 11, 512, 1343?\n\"Answer: 165*u**2 - 324*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 23183 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s**3 + 23*s**2 + s - 54. Let u be m(-23). Let h = -230\/3 - u. Which is the third biggest value? (a) -4 (b) h (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10078 - 2320. List the prime factors of s.\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41*b**2 - 19*b**2 - 37 + 8*b**2 + 5 + 55*b.\nAnswer: -52*b**2 + 55*b - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 250915 and 1505?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 36 = 7*a - 6 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*c + 5 + 6 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1*((-3)\/7 + 550043\/91)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}