{"text":"Question: Let s(i) = i**3 + 7*i**2 - 9*i - 2. Let o be s(-8). Let k be (-30)\/2*(-6)\/o. Solve 17 = 2*w + 3*m - 1, 3*m = -w + k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -9*(3 - 11\/3). Suppose n + j = 2*n. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, d: 1}. What is prob of picking 2 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (28\/6)\/(26\/(-273)). Suppose -2*t = -2*a + 158, t = 4*a - 7 - 72. Let k = q - t. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 7, 520, -186, -4.\nAnswer: -186, -11, -4, 7, 520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 40 + 584. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of -89*r**2 + 86. Let k(z) = 3*z. Determine k(n(f)).\nAnswer: -534*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-65)\/((-40)\/8)*(66\/(-11))\/6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 AM and 4:03 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44772*c + 196 = -44800*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 4*a - 93, -8 + 122 = x - 3*a. Let s = x + -51. Let q = -35 + s. What is the remainder when q is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 242114 divided by 1157.\nAnswer: 242114\/1157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/((-20)\/(-8) - 3). Suppose 5*t + 20 = 5. What is the third biggest value in -7, x, t?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 28*v = 768. Suppose 0 = v*o - 13*o. Solve o - 2\/9*q + 1\/9*q**2 + 1\/9*q**3 = 0 for q.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 364\/104*(10\/28)\/5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4 + -3 + 1 + 0. Let x be -2 + -2 - 1*-1. Let o be 1\/x - 22\/(-3). Solve 2*a + 5 = y, o*a + 15 = l*a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 - (-45)\/(-18)*-1*-7.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 42 - 7. Let n = y - 43.4. What is n rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2247.\nAnswer: 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -k**2*p**4 - 898*k**2*p**3 - 532*k**2 - 3 wrt p.\nAnswer: -4*k**2*p**3 - 2694*k**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 160533025?\nAnswer: 5, 53, 121157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 times 83?\nAnswer: -1577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zizz. Give prob of sequence iz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-9 + 3 - 5)*(-3*j - 7*j + 0*j) + 3*j + 8 - 8)*(-1 + 2 - 3)*(3*j + 0*j - 4*j)*(-5 + 4 + 0) to the form w*j + f*j**2 + h and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 915 - 1757. Let r = s + 95145\/113. Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.0294  (b) -2  (c) 3\/4  (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + y)*(-2 - 2*y + 3*y + 0*y - 7*y**2) to r*y**2 + t*y + n + z*y**3 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of -p**6\/240 + 3*p**5\/40 - p**2 + 7*p + 4. Let k(s) be the second derivative of o(s). Find d, given that k(d) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3444 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8683 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53239876?\nAnswer: 2, 103, 129223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -88 - -98. Let i = 142 + -98. Calculate the least common multiple of i and k.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1900 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 14999656907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n + 2*p - 7*p + 37, 3*n + 5*p - 48 = 0. Let h(q) = -q**2 + 10*q - 5. Let f be h(n). Let l be 168\/f*(-4)\/6. Solve -l + 1 = -3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + u - 4*u = -6, 3*u - 9 = 0. Let r(t) = 6*t + 6*t**2 + w*t + t**3 - 4*t + t. What is the units digit of r(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1076159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 49*b - 195. Let s be g(4). Is 3\/(15\/62456) + s\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = v + 5*b - 6, -6 = -3*b. Solve -2*x + 19 = 3*x + 2*s, 5*x + 5*s - 10 = v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 488\/1615?  (a) 1\/27  (b) -1  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (35466*t - 35466*t + 2405*t**2)*(-4*t**3 + 3*t**3 + 0*t**3).\nAnswer: -2405*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -293, -383, -549, -791, -1109, -1503, -1973?\nAnswer: -2519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 29502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of ((-5)\/(-2))\/(2\/(-4))*(-2803 - 114)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6 + -90?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-15)\/10*(13\/(-3) - -5). Let m(b) = b**2 - 5. Let h be m(3). Put h, c, -0.25 in decreasing order.\nAnswer: h, -0.25, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0606*-0.0451\nAnswer: -0.00273306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 224 + 18*m**2 - 211 + 30*m**3 + 14*m**2 - 34*m**2 + 2*m to the form f + j*m + u*m**2 + n*m**3 and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 3100588, 3100597, 3100620, 3100663, 3100732, 3100833?\n\"Answer: c**3 + c**2 - c + 3100587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 + 93*m + 1365. What is o(-13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - 159) + (18 + 10 - 21) + 15.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + 2230001?\nAnswer: 2230000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t. Let c be 1\/(-4) + (-9)\/(-4). Let x(i) = 0 + 0 + 0 - 4*i**c. Determine o(x(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 4\/3*y + 14\/9*y**2.\nAnswer: 2*y*(7*y - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2 + 8*x + 2. Let o be h(8). Let r(t) = 4*t**o - t**3 - 9 + 2*t + 2*t**2 + 0*t. Is r(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 23 and -4717782.\nAnswer: -108508986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 613 and -0.43478.\nAnswer: -266.52014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3204 + 40.8\nAnswer: 3244.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*o**2 - 30 + 29 - 9*o**2)*(-o - 3*o + 2*o) as y*o**3 + n*o + m + z*o**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -30, -50, -70, -90, -110, -130?\n\"Answer: -20*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2295153 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, -10, -61, -164, -337?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 4288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 67407.71 tonnes?\nAnswer: 67407710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 46 + -47. Is 7 a factor of s + 2 - (430\/(-5) - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 37247, 37801, 38365, 38945, 39547?\n\"Answer: u**3 - u**2 + 550*u + 36697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 90 and 1206.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52, 48, 44, 40, 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {a: 3, e: 3, i: 4, p: 3, d: 3}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 31*j**2 + 791*j + 1797. Calculate z(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/(-12) - (-14)\/6. Suppose 3*w = 0, y - v*w = -5*w + 4. Solve 4*q + 19 = a, -2*q + 11 = -y*q + a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3050\/55 - (-36)\/66. Let u = 78 - v. Does 22 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 2*g**3 + 18*g**2 - 34*g - 138. Let d be q(-10). Calculate the highest common factor of 292 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 AM and 12:46 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) 2  (c) -14  (d) -1\/11  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 PM and 10:39 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:24 AM and 2:03 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 16*s + 23. Let i be 13\/(-2) - -3 - (-6)\/(-12). Let b be (-435)\/(-18) - i\/(-24). Is g(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3 and 126539180238?\nAnswer: 126539180241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 + 7*g - 6. Suppose 4*x - 264 = -4*z, 0*x + 2*x + 4 = 0. Suppose 3*d + 5 + 7 = 0, 0 = b - 5*d + 10. Let t be (z\/85)\/((-4)\/b). Determine s(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 z when three letters picked without replacement from iivziiivizii.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -189 + 188.8. What is the third smallest value in 2\/5, f, -8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/((-136)\/(-24) + -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate k**2 - 663*k*w - 362*w - 2 with respect to k.\nAnswer: 2*k - 663*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 16 + 501680a?\nAnswer: 5016825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -17?  (a) -1  (b) -18  (c) -2  (d) -25  (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 17 + 33. What is the highest common divisor of f and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -636 divided by 5?\nAnswer: -636\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 0*j + 4 = -4*j, 0 = -3*d + 5*j - 6. Let z be (0 + d)*2\/14. What is the closest to z in -0.4, 2\/3, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a - 19. Determine m(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 - -16?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(56)\/(sqrt(40)\/sqrt(5) + sqrt(8)) - (sqrt(7) - sqrt(28)\/sqrt(4)*6)**2.\nAnswer: -175 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34785, 219763, 721851, 1699605, 3311581, 5716335, 9072423, 13538401?\nAnswer: 19272825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 - 9. Suppose 2*g - h = 2. Let l(a) = -5*a**g + 27*a + 3*a**2 - 27*a. Let u(k) = 30*k**2. What is u(l(z))?\nAnswer: 120*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - c = -91457, -76*r - 3*c - 30499 = -77*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 - i + 1. Let o(q) = 30*q**3 + q**2 + 5*q - 10. Let g(b) = -o(b) - 3*z(b). Let r be g(4). Let t = r - -5292. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.108178 to 1 decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -2*m + 2. Let q be h(-1). Let s(z) = 0*z**2 - 1 + q*z + 2*z**2 + 0*z - 4. Is s(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -189*b**3 - 81*b**3 + 56*b**3.\nAnswer: -214*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -b (base 12) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of -4*j**5\/5 - 14*j**4 + 548*j**3\/3 - 420*j**2 - 1853. What is s in t(s) = 0?\nAnswer: -21, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -4*r + 151, -93 = -2*r + 3*c + 2*c. Suppose r + 50 = 4*v. Calculate the remainder when 40 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3, l: 1, p: 2, d: 1, k: 2, a: 3}. What is prob of sequence sks?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, -2, 3, -2\/33, 5987, -3.\nAnswer: -3, -2, -2\/33, 0, 3, 5, 5987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (125 - 391 + 0 - 403)*(-3*q - 9 + 9).\nAnswer: 2007*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.845858 take away 0.056157705?\nAnswer: 0.789700295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 683946 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(3\/4)*s*s)\/s*(s*s\/(s**(-7)*s)*s)\/s*((s*s**(1\/3))\/s)**(8\/9))\/(s\/s**(2\/15)*s*s**(-2)*s)**(-4\/9) assuming s is positive.\nAnswer: s**(6173\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**8)**(1\/8)*(v*v*v*(v\/(v*v*v*v**(1\/3)))\/v)**19 assuming v is positive.\nAnswer: v**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -3 - ((12 - 8) + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -13398410856.004 less than 0.09?\nAnswer: 13398410856.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**2 + 34*a + 1. Is g(19) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -5048  (b) -0.4  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in nine tenths of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-8\/7)*f**(3\/8)*(f*((f**(2\/7)*f)\/f)\/f*f)**(-3\/13) assuming f is positive.\nAnswer: f**(-775\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 57392 divided by 13\nAnswer: 57392\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7 and -0.076?\nAnswer: -0.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j**5\/5 + 223652*j**4\/5 + 66*j**3\/5 - 7380716*j**2\/5 + 22365368*j\/5 - 18786768\/5 = 0.\nAnswer: -7, 2, 3, 111826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 17*v - 26. Let m(j) = -17*j + 27. Give -6*b(r) - 7*m(r).\nAnswer: 17*r - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 59117507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -22023 - 21?\nAnswer: -22044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 368666*g**3 + 128622*g?\nAnswer: 2211996*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 2*s - 3*s = 26, -4*s + 68 = 5*d. Let g be (-732)\/(-14) + (-34)\/119. Suppose d - g = -4*v. Solve -4*t + 6 = -v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7357203 to the nearest integer?\nAnswer: 2712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 396720 is divided by 2736.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:14 AM and 9:40 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 85874000 to the nearest integer?\nAnswer: 9267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*b - 56*b + 240*b.\nAnswer: 206*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1122103.\nAnswer: 1122103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 AM and 11:08 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**4 - 4*p**3 + 12*p**2 + 4*p - 8.\nAnswer: -4*(p - 1)**2*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/15*10\/6*4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (((sqrt(72)*-2*-3 + sqrt(72))\/sqrt(12))\/(sqrt(24)\/(sqrt(128)*4)))**2.\nAnswer: 25089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/17 + 284369*(-5)\/(-2465). Let t = a - 577. Put 0.3, 2, -5, t in descending order.\nAnswer: 2, 0.3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.21243631+-6625\nAnswer: -6625.21243631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 0.5, -3685\/6, -47, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2871977219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 39*j + 47. Let k(f) = -f**2. Give d(k(l)).\nAnswer: -39*l**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 23*m**2 - 7716*m + 3687. Determine p(335).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, u: 11, x: 5, y: 2}. What is prob of picking 1 b and 2 y?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 1 + 1)*(0*x - 3*x - x)*(265 + 185*x**2 - 265) to the form w*x**2 + l + y*x**3 + s*x and give y.\nAnswer: -1480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.563?  (a) -7318\/9  (b) 0.4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3394004459 a multiple of 1519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 276031805.43949873 - 276030362.282. Let l = c - 1443.2725. Let s = -0.115 - l. Round s to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*a - 4 - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -180 equal to -181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.6 - -0.5. Let z = k + -0.1. Suppose j = 2*n + 8, 4*j - n - 4 = j. What is the nearest to 0.1 in -1\/7, z, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2644884, 2644971, 2645058, 2645145, 2645232?\nAnswer: 2645319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 15 + -14 - 9 - -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1900 - (4\/(-22) - 78\/(-66)). Suppose -3*x - 3*r + 1422 = 0, -7*x - 5*r = -3*x - f. What are the prime factors of x?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + -3. Suppose -10 = -3*h + w. Suppose -i - 20 = -2*n, 2*n = h*i - 7*i + 28. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*q + 146 = 80, u - 5*u - 4*q - 25 = -5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6283*m + 19294*m - 6205*m - 6169*m.\nAnswer: 637*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 346180883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 296 or 292?\nAnswer: 296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + 3*32\/(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*z - 22. Suppose -3*c = 3*q - 6*c + z, 3*c = 2*q + 9. Is q at least as big as 6\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of n**5 - 106*n**4 - 8*n**2 - n wrt n?\nAnswer: 60*n**2 - 2544*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 6968 = 682. What are the prime factors of h?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 90.7 + -90.70389. Round n to 4 dps.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2405598*u = -2405693*u - 1140 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dkdakdkkkkadakddkkka. What is prob of picking 2 a and 2 d?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d**5 - 68*d**4 + 516*d**3 - 828*d**2 = 0 for d.\nAnswer: -23, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -17, 28, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*q + 135*q = -67*q - 98*q + 6226 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22498.920254 + 22499. Let p = w - 0.0804. What is p rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19981563607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (3 - (5 - (3 + -2)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 193934 is divided by 96671.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/((f\/f**(-12\/11))\/f))\/(f*f*f**21\/f*f))\/(f*f**(-9\/2))**(-11))**(-33) assuming f is positive.\nAnswer: f**(4065\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*q**2 - 7*q**2 + 4*q**2 + (-4*q - 3*q + 0*q)*(-q - q + q) + 4*q**2 - 2 + 2 - q + 2*q**2 + q + (q + q + 0*q)*(3 - 3 - 2*q) + 1 + q**2 - 1.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.01 times -41325\nAnswer: 413.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:01 AM and 4:35 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -3*n + 7*n - 22, -b - 4*n + 7 = 0. Suppose -3*u - 3 = -b, 0 = -2*q - u + 276. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 + 8*k**2 - 2*k - 2. What is m(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1068372 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1154 divided by -3521\nAnswer: 1154\/3521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.0128 + -0.1072. Which is the fourth biggest value?  (a) 7  (b) n  (c) 2  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 286042?  (a) -0.1  (b) 0.08  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 83 + -83.3. Let y = -2 - -2. What is the nearest to -1 in 0.3, c, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -59 + 56. Let c(l) = -1074*l - 19. Is c(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 1148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -72*d**2 - 13*d - 39. Let v be t(-16). Let m = 82775 - v. Let j = -68038 + m. What is j rounded to the nearest one thousand?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -3*c. Let t(n) = -1 - 124*n - 54*n - 154*n + 175*n. Determine t(r(k)).\nAnswer: 471*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 bigger than 196108634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -196 - -407. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 622cb (base 13) in base 15?\nAnswer: 37360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -43 - -272. Let z = -209 + k. Calculate the highest common factor of 820 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*g**5 + 3*g**5 - 31*g**3 - 9*g**5 + g**2 - g**2 + g**5 + (5 + 0 - 4)*(0*g + 0*g - g**5) - g**5 + 3 - 3.\nAnswer: -3*g**5 - 31*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 4*b + 17 - 65 = 0, 5*p - 3*b + 68 = 0. Suppose 3*j + 0 = -3. What is the units digit of (-11 - j)*p\/40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-22 + (-144771)\/(-4950) - 10\/(-12)) + -2 + -6\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence znp when three letters picked without replacement from {n: 2, e: 3, l: 4, k: 1, z: 2, p: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 10 = 3*s, 25495*s - 25491*s = 2*b - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 - 34*x**2 + 185*x + 292. What are the prime factors of w(-43)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -112184.96 to the nearest 100.\nAnswer: -112200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 835 + 54 = 199*m - 106 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 2*x - 15. Let q = -3 + x. Calculate the smallest common multiple of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2*(-1 + (-324)\/80) and 29\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -505, -1224, -1959, -2716, -3501?\n\"Answer: -n**3 - 2*n**2 - 706*n + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000258474065 rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbhqqqqh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 1. Let k = n + 2. Let p(x) = -x**3 + 1. Let c(b) = -3*b**3 - 3*b**2 + 6. Let a(s) = k*p(s) - c(s). Let a(i) = 0. Calculate i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 8, b: 2, f: 3, t: 2}. Give prob of sequence tft.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 62841574 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 13*r**3 - r**2 + r. Let c(w) = -44*w**3 + 2*w**2 - 4*w. Let t(y) = -3*c(y) - 10*j(y). Factor t(h).\nAnswer: 2*h*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.18?  (a) -3  (b) -0.032561  (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-21)\/(-28)*16*3\/30\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1099784 at most as big as 1099729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -3768*b - 17. Let y(h) = 665*h + 3. Let k(p) = -6*v(p) - 34*y(p). Let l(i) be the first derivative of 1 + 0*i + 1\/2*i**2. What is k(l(w))?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -23*-0.12\nAnswer: 2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z**5 - z**5 + 5*z**5 + 37*z - 37*z - 4*z**5 + (4*z + 0*z - 6*z)*(-z + z - z**4) + (-2*z**2 + z**2 + 0*z**2)*(-4*z + 4*z - z**3).\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 15 + 3 = 0. Suppose r*o = -0*o + 15. Suppose 0 = -5*n - 25, 41 = 3*q - 3*n - 37. Solve -5*i = -o*u + u + q, 6 = 4*u - 2*i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.348 + -62.052. Let w = -83.9 - p. Round w to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 3*v + 2. Let w(l) = -1 - 2*l - 3 + 7 - 4. Let s(o) = -4*c(o) - 9*w(o). Let x(p) = -5*p - 1. Determine 4*s(k) + 5*x(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 385938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*n**4 - n**3 - 6*n**4 - 2*n - 5*n**4 - n**4 in the form r*n**4 + w*n + u + b*n**2 + g*n**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -35.9 and 0.2.\nAnswer: -7.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 356 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -89, -1 in ascending order.\nAnswer: -89, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2384 by -596.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*w + 3*g, 3*w - w = -2*g. Let n = 4 + w. Suppose 2*m = -3*m + n. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - 24 - (-14 + 8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 72 - 36. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -142132786, -284265571, -426398356, -568531141?\nAnswer: -710663926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -675801, -675798, -675795, -675792?\nAnswer: -675789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1456 (base 9) in base 5?\nAnswer: 13404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -835 bigger than -887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 3*j - 3 - 29*j**2 - 24*j**2 + 54*j**2. Let i be l(5). Is 1 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 623 and 8755553?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 + h + 1. Let x(c) = 2*c**3 + 5*c + 5. Give -5*o(m) + x(m).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3335 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the second derivative of -n**5\/20 + 7*n**4\/12 + n**3\/2 + n**2\/2 + 6*n. What is the units digit of f(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*i = -946 + 1024 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -145*y**3 + 285*y**3 - 144*y**3 + 5*y.\nAnswer: -4*y**3 + 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -355 - -374. Suppose -63 = -2*a - m*a. Solve -a*j = -9*j + 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-6)*(16 + -16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 12*l**2 + 16*l - 1543. Give p(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-92)\/(-22) - (-2)\/(-11). Suppose 0 = -x*c + 7*c - 12. Suppose j - c*z - 2 = -0*j, -z + 2 = j. Solve j*q = 3 - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -287 + 528. Let p = d + -238. Sort -10, p, 0.5, 4\/7 in decreasing order.\nAnswer: p, 4\/7, 0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + t = -68, 400*d - 4*t - 80 = 396*d. Solve 0 = -2*a - d + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = -2*k + 4*v + 82, -131 = -3*k + 2*v. Suppose y - 3*s - 15 = k, -248 = -5*y + 2*s. Calculate the greatest common divisor of 36 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 961 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/42*-14*(-4)\/(-80).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 + 2. Suppose 0 = -5*g + 3*u + u + 39, -5 = 5*u. Let i be g\/5*4\/14. What is the second biggest value in m, i, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*o**2 + 130*o - 38*o + 100*o**3 - 94 - 51*o - 40*o wrt o?\nAnswer: 300*o**2 + 6*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 5*s - 1. Let o(a) = 4*a - 2. Let p(m) = -3*c(m) + 4*o(m). Calculate p(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 AM and 9:45 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2200100 - -1143?\nAnswer: 2201243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of -m**4\/24 - m**3\/3 + 3*m**2. Let u be g(-8). Let b(t) = -5*t**2 - 2*t + 0*t + u*t**2 + 5 - t. Give b(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 - -9. Suppose -4*q = -5*f - 2*q + 482, f = 3*q + 99. Suppose f = l + p*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -4*p**2 - 36*p - 240. Let z be q(-7). Is -184 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*f = 8*f + 84 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 271 - 272. Is 2\/483 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-216)\/(-28))\/((-17)\/119). Suppose -2*w = 3*w + 265. Let m = w - u. Solve -4*f + m + 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.31 > -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -27901 minus -0.1?\nAnswer: -27900.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 172 + c9?\nAnswer: 25b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 67  (b) 2\/23  (c) 2\/21  (d) -22  (e) 9  (f) -2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 11:21 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**2 + 13*r + 27. Let i be y(-11). Solve 0 = -3*o + 2*j - i, 0 = -4*o - 0*o + 4*j - 12 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1465)\/70 + 11 - (-1)\/(-14)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 58716239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 907 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -2*k - 4*o, -k + 51 = 5*o + 41 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/6)\/(5\/(-6)*(-132)\/660)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1249*m = 8765 + 32452 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/51 + 540\/(-34). Let l = k + 20. Solve -5*x + d = -0*d + 21, -4*d = l*x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -37 + 52. Let n(f) = f**2 - 4*f - 5. Let u be n(-5). Suppose s = 20 + u. Calculate the greatest common divisor of v and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d + 1 - 11. Suppose -c = b - 1, -d*b = -c + 1 - 18. Suppose 4*j - 1 - 11 = 0. Solve 4*y = -b*v, -j*y + 15 = -4*v - 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.3 and 0.13404.\nAnswer: 0.43404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 154\/9 in -17, 2\/5, -22?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 44*u + 44*u - 4 - 89*u + 0 to the form b*u + s and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -9567967 * 5\nAnswer: -47839835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23958003 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -140 - -236. Does 32 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - 68 = 13*a, -3*a - 32 = -16*g + 11*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*u = -633 + 174. Let m be (u\/20)\/((-21)\/(-35) - 0). Let -15\/4*y + 3\/2 + m*y**2 = 0. What is y?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 5*z - 16, -5*z + 3*z = 4*r - 8. Suppose 2*a - 4 = -3*u + a, 5*u = -3*a + 12. What is the remainder when r is divided by 1 - (u - 3 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29134 is divided by 190.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 86*m. Let a(d) = 32*d + 3 - 83*d + 57*d - 3. What is a(v(s))?\nAnswer: 516*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 241343, 241344, 241345, 241346, 241347, 241348?\n\"Answer: x + 241342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*l + 11*l = 211. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + g - 306 = 0, -m + 65 = 3*g - 17. Does 38 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 132 - 132.3. Suppose -d = -4*x - 15, 2*x + d = -2*d - 25. Which is the nearest to -0.5?  (a) 3  (b) x  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 - 20*l**2 + 2*l + 43. Calculate the remainder when 6 is divided by c(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*w = 14*w + 20. Let l be (52\/39)\/(w\/6). Let r(s) = 35*s**2 - 22*s**l - 12*s**2. Let y(c) = -5*c**2. Determine y(r(h)).\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 15*a**2. Let w(f) = 298*f + 407*f + 357*f + 381*f - 1237*f. Calculate k(w(u)).\nAnswer: 636540*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 - 8. What is the second derivative of 4*i + i**j - 3*i**3 - 2*i wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 725 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + -1. Suppose -y + 35 = -v*n, -5*n + 14 = y - 37. What is the tens digit of 9\/(18\/(-4)) + y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 235*b - 501 - 175*b**2 + 501 - 420*b**2 - 99*b**2 wrt b.\nAnswer: -1388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 294*g + 15 + g**2 - 2*g**2 - 293*g + (39 - 39 + 7*g)*(2*g + 0*g - 3*g).\nAnswer: -8*g**2 + g + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 2 i when three letters picked without replacement from wqweegewwii?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 4*f**2 + f. Let i be h(-1). Let q be (0 + i)\/(6\/10). Suppose 4*w + w - 5 = -n, 4*n + 4*w = 52. Calculate the greatest common factor of n and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + 174 + 420. Suppose -50*f + 1994 = -541 + 535. What is the remainder when k is divided by f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 7 = -5*z, -5*z - 5*i = -6*z + 11. Put -0.2, z, 5\/3 in descending order.\nAnswer: 5\/3, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1067  (b) -0.049  (c) -17\/2  (d) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4*((-2)\/(-4) - 0). Let u be (6\/4)\/((-105)\/24 + 4). Suppose -5*b + 13 = -12. Put b, x, u in decreasing order.\nAnswer: b, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 2*g**2. Let n be (1 + 0)*8\/4. Suppose p - 2*l = -3*p, 0 = n*p + 4*l - 20. Let f(r) = 24*r**p + 15*r**2 + 0*r**2 + 13*r**2. Calculate f(o(w)).\nAnswer: 208*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -11111101 (base 2) in base 14?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from ewewwwewew.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -115 - -79. Let h = 68 + l. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.42 + 0.2. Let t = -0.2199906 - f. What is t rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 375086335?\nAnswer: 5, 13, 5770559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10221 (base 3) to base 13.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -12 + (14 - 20)\/(-1). Is -56 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -47 + 49. Suppose -10 + 20 = b*y. Determine d so that 0*d**2 - 2\/5*d**3 + 0 - 2\/5*d**y + 0*d - 4\/5*d**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of -m**8\/1344 + m**7\/210 - m**6\/80 + m**5\/60 - m**4\/96 + 4*m**2. Factor d(n).\nAnswer: -n*(n - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12\/2917, 4\/7, -2, -0.3, -47 in decreasing order.\nAnswer: 4\/7, 12\/2917, -0.3, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2 and 1626.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9044 - 9043.99995567. What is y rounded to 6 dps?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -534*l - 5522. Give t(-10).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -221, -220, -209, -182, -133, -56, 55?\n\"Answer: z**3 - z**2 - 3*z - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50600*p**2 + 82*p**3 + 108*p**3 - 25305*p**2 - 25295*p**2.\nAnswer: 190*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 118 - 44. Let k = y + -54. What is the greatest common divisor of 30 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, u: 7}. What is prob of picking 2 c?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30730 and 30730?\nAnswer: 30730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -38 or 209?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**2 + 1595*h + 1594 = 0. Calculate h.\nAnswer: -1594, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -126461 - -126460.7. Let z be (5\/6)\/(2\/3). What is the closest to 2\/7 in -5, z, 0.04, p?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 61*w - 458. Calculate d(41).\nAnswer: 2043","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -2*d**2 + 13*d + 14. Give i(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 266*y - 99*y + 385*y - 27022 = 94*y for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(3) + 1))**2 - sqrt(3) - (-5*sqrt(21)\/sqrt(7) + sqrt(3)) - ((-1*sqrt(12))\/sqrt(2))\/(-2*sqrt(4)\/sqrt(2)).\nAnswer: 41*sqrt(3)\/2 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -12*i - 149. Give w(-7).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -2670001*q**3 - q**2 - q - 1. Let p(c) = c. Let a be p(-1). Let g be u(a). What is g rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (-16 - (3 - 15) - -8) - -27?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -95447, -190901, -286355?\nAnswer: -381809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -537 = -104*o + 87 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 0*x - 3*x = -4, 2*y = -5*x + 25. Let z = 19 + -18.5. Which is the closest to 1?  (a) y  (b) z  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196*g = -37*g - 159 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 64*w**2 + 23*w + 84. Let d be k(-8). Suppose 3886 = -10*r + d. Solve 3*m**5 + 17\/3*m**2 - 40\/3*m + 31\/3*m**3 - r*m**4 + 16\/3 = 0 for m.\nAnswer: -1, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of 6*v**7\/7 - 13*v**3 - 21. Find the third derivative of t(w) wrt w.\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -8113*p + 275838. What is m(34)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**3 - 5*z**2 + z - 2. Let u be i(5). Suppose -u*k + 2 = -2*k, -f - k = -5. Solve -5*m - 2*h - 15 = 0, f*m - h = -12 - 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ncnpnppypuppnnpcg. Give prob of sequence pgy.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112003 is divided by 1837.\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 + 10 = 8*u. Solve 0 = 4*r + u*j - 17, 2*r + 0*j + 8 = 4*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3489, 12942, 28675, 50688, 78981?\nAnswer: 113554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15124\/4975 - 6\/150.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 46*h + 11. Let q(f) = -23*f - 6. Give -4*a(b) - 7*q(b).\nAnswer: -23*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 103901472 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m\/(m\/((m\/m**(-19\/3))\/m*m))*m**(9\/5) assuming m is positive.\nAnswer: m**(137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 368900469 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(28) + sqrt(252)\/(sqrt(36)\/sqrt(4)) + sqrt(28))*1 + sqrt(168)\/(sqrt(6)*-1*-5 + sqrt(6) + sqrt(6)))**2.\nAnswer: 1936\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 8  (b) -0.0762  (c) 2\/3  (d) -3  (e) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3966.\nAnswer: 2, 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a millennium in decades?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -12*v**5 - 3*v**2 + 6*v. Let r(m) = 37*m**5 + 8*m**2 - 18*m. Let w(s) = -8*b(s) - 3*r(s). Find the second derivative of w(p) wrt p.\nAnswer: -300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -404 + 644. What is the highest common factor of q and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q = -3*q + 3*a - 27, -30 = -3*q + a. Let b be (12*2\/(-21))\/(-5 - (-476)\/98). What is the units digit of q*b\/216 + 694\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -0.9?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -56, 0.3, -2\/17, 16, -4\/11 in decreasing order.\nAnswer: 16, 0.3, -2\/17, -4\/11, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 70568 by -4.\nAnswer: -17642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + 3 - (13 - (-7 - -9 - 11)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 2*p - 6 = 0. Let b = 8 - p. Suppose b*i - 1495 = i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/1438 and 91\/12.\nAnswer: 8628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -b**4 + 1 - 1 + (0*b - 1 + b + 3)*(b**2 - 2*b**2 - 4*b**2)*(7*b - 17*b + 8*b) as o*b**4 + t + i*b**2 + w*b + r*b**3 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0017578836304 to 6 decimal places.\nAnswer: -0.001758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 225*m**4 + 10920*m**3 + 170896*m**2 + 931840*m + 1638400.\nAnswer: (m + 20)**2*(15*m + 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-one quarters of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, m: 1, i: 2, a: 1, o: 2, p: 2}. Give prob of sequence paop.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((-5)\/(15\/6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/9 and 53\/1236.\nAnswer: 3708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/4)\/(28\/(-16))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2\/5, -5, 67857, -1, -6\/5?\nAnswer: 67857","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 216523 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.9 times -300\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*b**2 + 2*b**2 - 5*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and 0.56821.\nAnswer: 5.56821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wk when two letters picked without replacement from szzzwwzkzwazzzakzzs?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that r**3 - 106*r**2 + 511*r - 606 = 0.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - 6) + -7 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(50) + -2 + sqrt(128)*-1 + ((sqrt(12) + sqrt(48))*1)\/sqrt(6)*-1.\nAnswer: -6*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -99 - 10*q + 99 + 30*q to the form k*q + w and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 + 5 = 6*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 12:35 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*z - 58*z = 2*c - 11, 0 = 4*z + 4*c - 12. Is z at most 1\/16457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1844094, 3688187, 5532278, 7376367?\nAnswer: 9220454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-11 - -11) + 1 + (2 - -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -5 + 3 + 3. Let i(l) = 4*l - 2*l + 0*l. What is -i(r) + 2*u(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 11*b - 7. Let s be u(1). Suppose 0 = t + s, 3*z = -z + t + 4. Solve 2*f + 26 = -z*r + 4*r, 0 = -5*f - 2*r - 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 3*s - 15 = 0, -2*h - 27 = -5*s - 6. Let o(w) = w**2 + w - 1. Let k be o(h). Solve 0*n = -5*q + k*n + 15, -4*n = 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 5*i = 14, 2*g + i - 4*i - 18 = 0. Let u(r) be the third derivative of -r**2 - 1\/24*r**4 - 2\/3*r**g + 0*r + 0. Calculate u(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3020.3 + -3020. Which is the nearest to -1?  (a) 0.4  (b) 1\/31  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -13, 2\/3, 80\/7, 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4991952.876 rounded to the nearest 10000?\nAnswer: 4990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (75 - 1304331\/17385)*(-5)\/4?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15714.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 84581641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 2*y + 3 = 8, 14 = 4*g - 5*y. Suppose 0*m - 3*m + 24 = 0. Let p = m - 9. Sort -18, 4, g, p in decreasing order.\nAnswer: 4, g, p, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 46 = -3*j - 1, 4*j = 3*l + 31. Let i = 33 - 17. Suppose 0*t = -2*t + i. Calculate the smallest common multiple of j and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of f**6\/120 + f**5\/20 - f**4\/6 - 2*f**2. Give c(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 5*b**2 - 51*b + 221. Calculate y(0).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 612301.\nAnswer: 612301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -j + j**4 + 28*j**3 - 27*j**3 + 19 + 4*j to z + y*j**2 + q*j**3 + w*j + b*j**4 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 469 + -359488256313.\nAnswer: -359488255844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 - 5 = 4*i. Suppose 13 = -9*c + i. Which is greater: c or 3\/20?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -87*x - 32. Let k be m(-4). Suppose -5*b - 4*r + 720 = -8*r, 0 = -2*b - 4*r + k. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 501412 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*2*(((sqrt(240) + 1*sqrt(240)*-6 + sqrt(240))\/sqrt(5))**2 + ((sqrt(768) - (sqrt(768) + 0)) + sqrt(768))*1).\nAnswer: -9216 - 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4564 by 7.\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 6. Let m = -161 + 161.5. Sort f, m, -2\/7.\nAnswer: f, -2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 857, -0.4, 1\/4, 2\/81, 0.3?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 - (2 + 1) - (-2723 - 2). Suppose c + x = -4*d + 949, -4*d = -c + 1772. Let m = -292 - d. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/210 and 22\/35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*v**2 - 82*v**2 + 4*v + 3 - 4*v as j*v**2 + g + w*v and give j.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -676 or -684?\nAnswer: -684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 188\/1349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2791*z**3 - 981*z**3 + 1672*z**3.\nAnswer: 3482*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 428283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*a + 69 = 15*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-200)\/(-25))\/((-34)\/34)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k**(2\/81)*k**(1\/41) assuming k is positive.\nAnswer: k**(3484\/3321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 19692\/(-17504)*(-200)\/18?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 + 718. List the prime factors of b.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*5*7\/525*15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + 41*f**2 - 177*f + 116. What is w(-45)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5651643, 5651292, 5650941, 5650590?\nAnswer: 5650239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2467000 rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 202 divide 204235332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of 196415 and -45397.\nAnswer: 151018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/18)\/((116\/(-3))\/29)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31 + 4*v - 22 - 3 + 9 to j + d*v and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -5*m**3 + 3*m**2 - 3. Let s(j) = -4*j**3 + 4*j**2 - 2. Let d(x) = 3*q(x) - 4*s(x). Let l be d(7). Is l less than 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*b + 1)*(-2*b**4 - b**4 + b**4) + 0*b**5 + 3*b**5 - b**5 + 6*b**5 - 5*b**5 + 5*b**5 + (19 - 19 + 3*b)*(-2*b**4 + 4*b**4 + 0*b**4).\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 121*w**2 - w. Let o(y) = -5*y - 2. Let l(z) = 2*z + 2. Let n(h) = l(h) + o(h). Give n(s(c)).\nAnswer: -363*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**2. Let h(g) = 3*g - 1. Let j be h(2). Let s(p) = -p**2 + j - 6 + 1. Give s(x(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10.5 + -7. Let j = n + -3. Let g = 1237\/7 + -177. Which is the biggest value?  (a) -1\/8  (b) g  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence knx when three letters picked without replacement from nbnxsbnknnnannnknnk?\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15*m**5 + 26*m**4 - 2729*m wrt m?\nAnswer: 300*m**3 + 312*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 100 - 64. Suppose -4906*y + 2474*y = -2495*y + 24948. Calculate the highest common divisor of y and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 2*s = -13490, -384*j + 386*j - 5*s = 6727. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j - 1 - 3*j**2 + 5*j**2 + 2*j**2. Let x be k(1). Suppose 24 = x*i - 0. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = 0, 32*f + 3*o + 397 - 358 = 392 + 543 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 439 + 10*r - 12*r - 265.\nAnswer: -2*r + 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -17*s**2 + s**2 - s**3 - s**3 - 3*s**3 + 6*s**3 - 4*s**3 + (s**2 + s**2 - s**2)*(-3 + 3 - 2*s).\nAnswer: -5*s**3 - 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -270 - -274. What is the first derivative of 529 - 63*z**4 - 383 + 194*z**w wrt z?\nAnswer: 524*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/86 and -149\/2365086.\nAnswer: 2365086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 - -8. Suppose 24*u - 14 = 25*u. Let y be (-38)\/u - 1 - (-16)\/56. Put -1, -4, y, o in ascending order.\nAnswer: o, -4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -28147 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -1 + 13*k**2 + 1 - 11*k**2. Let t(b) = -5*b**2. Determine n(t(c)).\nAnswer: 50*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(1\/26)*y*y**27 assuming y is positive.\nAnswer: y**(729\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3603 is divided by 300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8339*t + 8339*t + 16*t**3.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11.8 - 11.929. Let t = -0.343 - s. Round t to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-15)\/35 + 1198\/(-112) and 83\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 n when three letters picked without replacement from {n: 10, i: 3, q: 4, d: 1}.\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 172 - 128*a - 83 - 89 to the form s*a + t and give s.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.01  (b) 1  (c) 0.2  (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 199*v**3\/8 - 1069*v**2\/2 + 3776*v - 8736.\nAnswer: (v - 8)**2*(199*v - 1092)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -156.7 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 459 by -7.\nAnswer: -459\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 2*g**2 - 15*g - 26. Let u(c) = 0*c**2 - 2*c - 2*c**2 + c**2 + 9*c + 13. Let d(j) = -5*u(j) - 3*v(j). What is the least common multiple of 8 and d(9)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l**3 - l**3 + l**3)*(-l**2 - l**2 + 5*l**2 + (2*l**2 + 3 - 3)*(-4 - 1 + 3)).\nAnswer: -2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00029236 rounded to six decimal places?\nAnswer: 0.000292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2 - 2*j + 2)*(-5*j + 3*j - j) + 0 + 2*j**2 + 0)*(-2*j**2 + 5*j**2 + 0*j**2) - 5*j**4 + 0 + 0 as c + v*j**3 + w*j + i*j**2 + k*j**4 and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are -137860\/1099 and -124 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 10 - 6 = 0. Let u(x) = x**2 - 6*x - 12. Let k be u(b). Suppose 2*p = 2*c + 2, -k*p - 3*c + 7 = -2*p. Solve 5*s = p*s + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2401032230 (base 5) to base 6.\nAnswer: 313332433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.134, -3, 0.1, 7.\nAnswer: -3, 0.1, 0.134, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-16)\/(-154) + 26\/143)*14. Suppose -5*k - 2*c + 21 = 0, -d*c = -2*k - k + 23. What is the least common multiple of k and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 55\/34 - (-195)\/(-130).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 3 = j + 3*v, 2*j - 47 = 335*v - 338*v for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the third derivative of z**5\/10 - z**4\/8 + z**3\/3 + 10*z**2. Let r = -6 - -10. Let x(o) = 7*o**2 - 4*o + 2. Give r*x(g) - 5*k(g).\nAnswer: -2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -738 (base 11) in base 3?\nAnswer: -1012220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2. Suppose 3*t - 6*t = -18. Let f(l) = -t*l + 3*l - l - 4*l. Calculate q(f(u)).\nAnswer: 64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*(d*d**(-2\/29))\/d*d*d)\/(d\/((d*d**(1\/8)\/d*d*d)\/d))*(d\/d**0)**40 assuming d is positive.\nAnswer: d**(10221\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, 113, 0, 5, 24 in increasing order.\nAnswer: -1, 0, 3, 5, 24, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -764, -3534, -8144, -14588, -22860, -32954, -44864?\nAnswer: -58584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 15) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 + 4*k. Let l be i(-5). Suppose 2*h = 4 - 0, 0 = 3*t - l*h - 968. Is t a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 395892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -219 + 226. What is the common denominator of (((-2212)\/(-120))\/f)\/(-1) and -23\/132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 14, 111, 360, 833, 1602, 2739, 4316?\n\"Answer: 12*d**3 + 4*d**2 + d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 22785 and 64405600?\nAnswer: 193216800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, 3\/7, 641, -36, -28 in descending order.\nAnswer: 641, 2, 1, 3\/7, -28, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -39*i**2 + 84*i**2 - 14*i**2 - 16*i**2 - 17*i**2. Let a(y) = -56*y**2 - 7*y + 1. Calculate a(b(r)).\nAnswer: -224*r**4 + 14*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 4*v - 20 = 0, -3*v - v - 20 = 2*k. Let y = 1081\/19 - 57. Which is the smallest value?  (a) k  (b) y  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*w**3 + 4 - 6*w**2 + 2*w**4 - 9*w**3 - 10*w**4 - 8 + w**3 to the form f*w**4 + g*w + u + c*w**2 + m*w**3 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -x - 4. Suppose -5*y - 610 = -3*w, x = -w - 2*y + 3*y + 206. List the prime factors of w.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r = -20 + 55. Let v = -50 + r. Let x = -13 - v. Solve -x*g - m = 7, 4*m - m + 16 = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2138923.67 to the nearest one hundred.\nAnswer: 2138900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express k**2 + 3*k**2 + 10*k**4 - 11*k**4 - k - 5*k**2 as p*k**3 + s + t*k + d*k**2 + n*k**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 393*x**3 + 3*x**2 + 954*x - 5675. List the prime factors of r(6).\nAnswer: 5, 73, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -40*v**4 + 72 + 1928\/3*v**3 + 704\/3*v**2 - 364*v - 12*v**5 = 0.\nAnswer: -9, -1, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -f, -15*u + 9*f = 6*f - 15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, s: 5}. Give prob of picking 2 s.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 10*s + 45. Let d(i) be the first derivative of -i**2\/2 - 4*i + 29. Give 45*d(t) + 4*f(t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*t + 499*t**2 - 160*t**2 - 178*t**2 - 64*t**3 - 163*t**2 - 2 to s*t**2 + b + h*t + v*t**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 9 - 5 - (1 - 2 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 137516 and 92047?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1135, -4034, -8871, -15652, -24383, -35070, -47719, -62336?\n\"Answer: -y**3 - 963*y**2 - 3*y - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 883, 870, 843, 796, 723?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-84)\/(-276)*(-6)\/(-378)*9\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 411*z**4 - 14992*z**3 - 1276*z**2 + 7048*z.\nAnswer: 9864*z - 89952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -523 (base 12) in base 6?\nAnswer: -3243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -13136075210270 from -8.\nAnswer: 13136075210262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in fourty-three halves of a tonne?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1531496, 1530392, 1529288?\nAnswer: 1528184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2461, 4923, 7385, 9847, 12309, 14771?\nAnswer: 17233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -6*x**2 - 2*x + 1. Give b(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from pqqqppppppqppp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -3*c - 1. Suppose 11 = 15*p - 14*p. Let t(f) = -8*f - 2. Let w(o) = p*x(o) - 4*t(o). Give w(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76992305.\nAnswer: 5, 13, 53, 22349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 373531 greater than or equal to 373531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 300*y**3 + y**2 - 3*y + 1. Let f be q(2). Suppose 0 = -5*z + 4*z - 2*u + 471, f = 5*z - u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a - 4900 = -7*a. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**4*n)**(2\/57))**11*(((((n\/(n**(1\/7)\/n))\/n*n)\/n)\/n)**(-16))**(-3) assuming n is positive.\nAnswer: n**(-604\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -661 by 157.\nAnswer: -661\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5734551178 - 0.3.\nAnswer: -5734551178.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 130 and 361110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 126 and 432?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 2:00 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 14\/12*-2*-18. Let g = -1736\/3 - -38153\/66. What is the common denominator of g and (1 + f\/(-32))*-13?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**0)**(20\/3)*u**5\/u*u*u**4 assuming u is positive.\nAnswer: u**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 578\/(-2790) - 30\/(-150). Is 0 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = 4*v - 16 - 8, 2771*i - 29 = -2771*i + 5538*i - 3*v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4\/9, -5\/4, 1350, 35, -4?\nAnswer: 1350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 90 = -120 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 f when three letters picked without replacement from {b: 3, y: 5, t: 10, f: 2}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50 is divided by 35?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4640 + 32488\/7. Let a be 3\/(105\/(-4))*-5. Let 8\/7 - 4\/7*i + a*i**3 - v*i**2 = 0. Calculate i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 62 = 5*n, 35 + 17 = -5*n + 4*x. Let j = 14 + n. Find the first derivative of -6*t + 2 + 6*t + 5*t**4 + j wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4123 (base 11) to base 10.\nAnswer: 5470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 7*z - 14. Let f(r) = -r**4 + r - 1. Let y(h) = -7*f(h) + k(h). What is the first derivative of y(s) wrt s?\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-4 + sqrt(1008)*-2)*-5*6.\nAnswer: -720*sqrt(7) - 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6318502 is divided by 702044.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36 = 5*c - 4*i, -2*i - 16 = -6*i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 3*q + q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from olhol. Give prob of picking 1 h and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(20) - (sqrt(180) + sqrt(20)))\/sqrt(4) - (sqrt(5) - (-2*sqrt(5) + -2 + sqrt(5)) - (-4 + (sqrt(15)\/sqrt(3))**2 - sqrt(5))).\nAnswer: -1 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -236 at least -231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 5*u - 34 = 0, -u - 66 + 73 = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*x - 4 = -49*x, 4*w - 5*x = -28 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3326 - -3326.06. What is the fourth biggest value in -2\/57, 5, -1\/3, o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 AM and 8:42 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5.5 - 5. Let s = 0.2 - 0.3. What is the closest to s in 3, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*w - 3*w = -0*w - 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**3 + 3*v. Let l = -550 + -151. Let n = l - -703. Give g(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*h**2 + 0*h**2 + 3*h**2)*(-1 + 2*h + 1) + (0*h**3 + 2*h**3 - 3*h**3)*(2 + 2 - 1)*(-3 - 3 + 5).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 2, 1, -74.\nAnswer: -74, -6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 4*o = 14, 2*p + 11 = 5*o - 11. Let h = -86 + 85. Which is the second smallest value?  (a) p  (b) h  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6057072432 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 117308 and 4633666.\nAnswer: 9267332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 15*l - 12*l = -2807491, w + 561515 = 5*l. Round w to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*g**4*l**2 + 307*g**4 - 5*g**3*l**2 - 137*g**2*l**2 - 7*g*l + 4*l**2 wrt g?\nAnswer: 48*g*l**2 + 7368*g - 30*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5747561 is divided by 545.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -2\/3, 20, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 160 and 4384.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 0.1  (b) -0.2  (c) -0.6  (d) -1  (e) -36652\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4317*m + 601*m + 285244 = 0 for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - -ecd6?\nAnswer: ecd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96244 is divided by 212?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1663 + 4423. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**4 + 66*a**3 - 1020*a**2 - 2312*a.\nAnswer: -a*(a - 34)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -50, -121, -234, -389?\n\"Answer: -21*k**2 - 8*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c + 0 + 0)*(5 - 3 - 3)*(-10*c**2 + 39*c**2 + 5*c**2)*(3 + 2 + 11) + 2*c - 2*c**3 - 2*c.\nAnswer: 1086*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1cee + 24?\nAnswer: 1d12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m**3 - 781372010*m**2 - 1562744035*m - 781372020 = 0 for m.\nAnswer: -1, 156274404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 1277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 83 + -48. Let u = b - 34.906. What is u rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -35, -4, -1, -2\/13, 149?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 4 + 26 = 3*q, 2*w = 5*q - 55. Suppose q = 5*p - 11. Let u = 28.4 + -28. Sort -0.2, p, u.\nAnswer: -0.2, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 12:32 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -66 + 53 - (3 + -8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*r + 2*r - 3*n - 25, 6 = 2*r - 2*n. Let f(w) = -w + 3. Let j(z) be the second derivative of -z**2 - z. Determine r*f(g) - 3*j(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand t**5 + t**5 - 3*t**5 + (-t**3 + 3 - 3)*(6*t**2 + 3*t**2 - 4*t**2).\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -16819*p + 16823*p - 72 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5651329 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 91825 or 3\/4?\nAnswer: 91825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 2*l - 18. Solve 0 = 7*b - l*b + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -3*z**3 + z - 1. Let i be h(-2). Suppose -3*t - 3*k = -i, 0*t + 31 = 3*t + 5*k. Let s be 3*1\/3*t. Let d(x) = x**3 - 2*x**2 + 3*x - 1. Give d(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 709 - 707. Let i(n) = -4*n - 24. Let q(m) = m. What is u*q(d) + i(d)?\nAnswer: -2*d - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100111010 (base 2) to base 11.\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 + 17*b**2 - 40. Let r(v) = -v**3 + 5*v**2 + 33*v - 100. Let w be r(3). What is u(w)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 41*x**3 - 29*x**2 + 11*x + 100. Let f(o) = -16*o**3 + 10*o**2 - 4*o - 34. Determine 11*f(u) + 4*l(u).\nAnswer: -12*u**3 - 6*u**2 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 3*u**2 + 2*u - 5. Let s(n) = n - 1. Let d be s(-5). Let i be x(d). Let a be 4\/26 + 168\/i. Solve 4*t - 12 = -j + 3*j, -a*j = -5*t + 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 264\/252*2\/(-5). Let r = h - 2\/385. Let o = r + 1\/11. Which is the nearest to -0.1?  (a) 0  (b) o  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21*240\/1008)\/((-22)\/(-242)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38555 is divided by 677?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 2:49 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -41*i**2 + 84*i. Let p be t(2). Let q(o) = -o**3 - o**2. Let k(n) = -2*n**3 - 4*n**2 - 2*n. Calculate p*q(m) - k(m).\nAnswer: -2*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 210 = 5*x - 0*x. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31200233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -9*w**2 - 3*w + 3. Let s(i) = -17*i**2 - 5*i + 5. Let o(b) = -5*c(b) + 3*s(b). Let q(l) = 2*l - 57. What is q(o(z))?\nAnswer: -12*z**2 - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - b + 2*s + 4 = 0, 5*b = -2*s - 18. Which is greater: -2\/5 or b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {t: 7, v: 8, f: 3}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1.4, -0.2, 69, 0.1 in increasing order.\nAnswer: -2, -1.4, -0.2, 0.1, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 7*y**2. Let c(v) = -557*v**2. Determine c(m(x)).\nAnswer: -27293*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -20475, -20492, -20511, -20532, -20555?\n\"Answer: -b**2 - 14*b - 20460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 52230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -2*y - 4. Let f be n(-4). Suppose d - 4*d = -3*c + 6, -5*d - f*c = -35. Differentiate 2*q - 7*q + 3*q - 1 + d*q wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -27407*c**3*d**3*v**2 - 6*c**3 - 1131*c**2*d**2*v**2 - 30*c*d**3*v**2 - 2*c*d**2*v**2 + d*v wrt d.\nAnswer: -164442*c**3*v**2 - 180*c*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of f**3\/2 - 19*f**2 + 23*f. Let g be n(13). Solve 0 = b + 3 - g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40, -85, 16, 407, 1232, 2635, 4760, 7751?\nAnswer: 11752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of 1\/12*q**4 + 0 + 11*q**2 + 0*q**3 + 0*q**5 + 0*q - 1\/80*q**6 - 1\/420*q**7. Let b(g) = 0. What is g?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from {c: 1, v: 2, y: 5, a: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -497 divided by -5\nAnswer: 497\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4039?\nAnswer: 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a + 3*a + a)*(-3 + 2 + 2) - 3*a + 0*a + 2*a + (0 - 10 + 6)*(3*a + 0*a - 4*a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3889, 15551, 34987, 62197?\n\"Answer: 3887*x**2 + x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -112*t + 450. What is n(6)?\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n**3 - 4429450*n**2 - 26576835*n - 39865320 = 0. Calculate n.\nAnswer: -3, 885896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -35*d - 133. Let o be y(-4). Solve -3*u + 11 = -5*c, -c = -u - o + 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.5 and -4285.\nAnswer: -4285.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 396 and 693.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 135*k - 671. Let z be d(5). Solve -5*t = -t - 5*y + 2, z = -2*y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.643 take away -0.0516?\nAnswer: -0.5914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 3, c: 3, d: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 16  (b) 1\/8  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17829 and 248913?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5198\/34 + (-60)\/(-510) is divided by 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 + 7*y**2 - 3*y + 8. Let r be q(-7). Suppose 3*x + r = 134. Suppose x = i + 11. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -19*v**2 - 50*v - 394. Let p(j) = 7*j**2 + 17*j + 130. Give 3*m(f) + 8*p(f).\nAnswer: -f**2 - 14*f - 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 - 4*b**2 + 4. Let j be y(-4). Find the third derivative of 2*r**j - 2*r**4 + r**2 - 2*r**4 - r**4 wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**12\/j)\/j**22 assuming j is positive.\nAnswer: j**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*w + 0*w + 3*w)*(-w + 4*w - 4*w) + 1371 - 328*w**2 - 1371 in the form b + n*w**2 + l*w and give n.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2053  (b) 5  (c) -5  (d) 2\/7  (e) 2  (f) 0.9  (g) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 857367885 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 234 + 87*b + 130*b - 32*b + 428 wrt b?\nAnswer: 185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 340, 2135, 22\/3 in decreasing order.\nAnswer: 2135, 340, 22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 - 5*b**2 - 3*b + 7. Let j be g(5). Let x(l) = 4*l + 4. Let u(r) = -r. Let z(c) = -3*u(c) - x(c). What are the prime factors of z(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 288981 divided by -13761?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 151*q + 10*q + 159 = 1447 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 66, 67, 68?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 2*m + 16. Let j = -7 - -8. Let o = j - m. Solve -k = -o*c, k = -c - 4*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 + 140\/30)*3\/(-18)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the first derivative of 7*s**2\/2 + 13*s + 4263. Give x(-11).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 - 1242?\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 76 * 67468.\nAnswer: 5127568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 152?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:28 PM and 5:12 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3294137764?\nAnswer: 2, 823534441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 8444*m - 320983. What is b(38)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*(s\/s**(-3))\/s*s)**41*(s\/(s\/s**(-7)*s))\/s**(-2\/7) assuming s is positive.\nAnswer: s**(1381\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 6*-3*120\/15*14\/224*-2\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 355, 1250, 2741, 4828, 7511?\n\"Answer: 298*k**2 + k + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 12*h**3 + 6*h**2 - 11*h - 6. Let d(j) = 11*j**3 + 5*j**2 - 9*j - 4. Calculate -6*d(z) + 5*i(z).\nAnswer: -6*z**3 - z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - -4 - (14 + 38 + -38).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)*1*-2)\/(sqrt(132)\/(sqrt(60)\/sqrt(5))) + 1.\nAnswer: -2*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 63.9 - 64.3. Which is the closest to -0.2?  (a) 3  (b) u  (c) -1  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -58849, -117320, -175793, -234268, -292745, -351224?\nAnswer: -409705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1860.973 nanograms in tonnes?\nAnswer: 0.000000000001860973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -3 + -2 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0291233223 to six decimal places.\nAnswer: 0.029123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-33)\/(-12)*2 - 3. Let m = 9\/4 - q. Sort m, 1\/8, 2 in descending order.\nAnswer: 2, 1\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 350267749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -z + 4*z**2 + 2 + 4*z + 0 - 2*z**2 + z**3 in the form y*z**3 + u*z + g + j*z**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -78 + 59 + 13 + -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/(-14)*175\/(-100). Let q(s) be the first derivative of -7\/16*s**4 + 4\/3*s**3 + 0*s - 5 - d*s**2. Factor q(y).\nAnswer: -y*(y - 2)*(7*y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 2 y when three letters picked without replacement from {a: 6, y: 12}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/7, -0.5, -4, 1.6, -3 in increasing order.\nAnswer: -4, -3, -4\/7, -0.5, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rkk when three letters picked without replacement from rkvvrvvrvvkvr?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -24*c**3 - 10*c**5 + 24*c**3 - 2 + 2 + 3*c**5 + 2*c**5 - 2*c + 2*c + (-3*c + c + c)*(3*c**2 - 3*c**2 - c**4) - 4*c**5 + 5*c**5 - 3*c**5.\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1))**(-9\/4)*y*y**5*y*y*y*y*y**(-1\/5)*y)\/(y**(-4)*y**(-1\/2))**5 assuming y is positive.\nAnswer: y**(711\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -46, -23, 24, 101, 214, 369?\n\"Answer: y**3 + 6*y**2 - 2*y - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1042 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1044 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of -1*4 - (-148 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*j = -25*j - 10. Let p = -30 + 49. Calculate the remainder when p is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1856 + -1851. Which is the third smallest value?  (a) -3  (b) -1\/20  (c) 3  (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76554433 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -36\/35 and 73\/2013606.\nAnswer: 10068030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 + 11. Suppose -78 - 67 = t*n. Let b = -19 - n. Does b = 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, y: 6, m: 1, i: 1, a: 2}. Give prob of sequence aiym.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4.4 in 91, -2\/7, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 299564?\nAnswer: 2, 74891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 32667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 6*c**3 + 46. Let s(i) = 7*i**3 + 47. Suppose -2*v = 0, 6*n + 3*v - 8 = 8*n. What is n*s(j) + 5*k(j)?\nAnswer: 2*j**3 + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2720.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 - 12*z**2 - 24*z + 23. Let u be b(10). Let g = u - -988. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 27 - 26 + 3*m**2 - 2*m + 4*m. Let o(v) = 236*v**3 + 288*v**2 - 12*v - 6. Let q(f) = -o(f) - 6*z(f). What is the third derivative of q(w) wrt w?\nAnswer: -1416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 846*h**3 + 2 + 844*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2439 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 37 + -43. Let z be (-119)\/245 + w\/(-21). What is the closest to z in 1\/4, -1\/7, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -180 + 190. Let i be 30\/(-9)*(-15)\/n. Solve i*y = -a + 6, 5*y + a = 5*a + 26 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (-2 + 0 - 4) + 17 + 13 + -25?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -3588*b. Let u(a) = -1856*a. Determine u(c(o)).\nAnswer: 6659328*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -10794 divided by 1\nAnswer: -10794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u**(-2\/31)\/u))\/u**(-1\/24)*(u\/(u**(8\/9)*u)*u)**(-19) assuming u is positive.\nAnswer: u**(-2243\/2232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 859.01 millilitres?\nAnswer: 0.85901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 91722 less than 91715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.7 - -4.7. Sort k, -1, -5, 4 in increasing order.\nAnswer: -5, -1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by 24204\nAnswer: -2\/6051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 8439.845 hours?\nAnswer: 30383442000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 53482475 and 705.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -22132030 - 10?\nAnswer: -22132100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 434085564, 434085568, 434085572, 434085576, 434085580, 434085584?\n\"Answer: 4*o + 434085560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cechjfeeecqc. Give prob of sequence ce.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4598178 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32642 is divided by 16230?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 12:57 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 3 - 11 = -4*f, -9 = 3*f. Which is the nearest to -1?  (a) u  (b) -0.5  (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 169\/33480 and 47\/24800.\nAnswer: 669600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 0 + (-4 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/(sqrt(28)\/sqrt(4)) - sqrt(5) - -1*sqrt(45).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 250 + -530. Let g = 280.000697 + l. What is g rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*g*q**3 - 140067*g - 27720*q**3 + 3 wrt g?\nAnswer: -3*q**3 - 140067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 229534, 3 in descending order.\nAnswer: 229534, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 2*n**2 + 7*n - 5. Let q be o(4). Let i = q - 32. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 304558112 and 22.\nAnswer: 3350139232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.18 times -62196?\nAnswer: -11195.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - -1) + 9 - 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -164*a - 324. Let p be x(-2). Let k(y) be the third derivative of 0*y**3 + 1\/12*y**p + 0*y + 0 - 15*y**2. Let d(v) = -36*v**2. Calculate d(k(i)).\nAnswer: -144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -5897000 to the nearest one hundred thousand.\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 7 = 21. Let u be -2*(-2 + p - -3). Let q be (-2 - u)*(-38)\/(-8). What is the highest common factor of q and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 z when three letters picked without replacement from mznww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 2 + 9 + 4 + 1510*l - 1508*l.\nAnswer: 2*l + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*((sqrt(132) - (sqrt(132) + -1*sqrt(132))) + sqrt(132))*1)\/(sqrt(96)\/(sqrt(8)*1) + sqrt(588)*-1) + 1)**2.\nAnswer: 10*sqrt(11)\/3 + 284\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 16 = -0*p. Let x(a) = a**2 + 8*a + 7. Let i be x(p). Let l(b) = 3*b - 2. Let q be l(9). Solve 2*j - i*j = -q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 4*j - 170, 4*d + 0*d + 3*j + 105 = 0. Let l = 45 + d. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*d**3 - 5*d + 5*d + 18*d**3.\nAnswer: 71*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-42048)\/(-4088) - (3 - -2)*2. Solve -2\/7*b**2 + 4\/7*b - g*b**3 + 0 = 0 for b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 424317287?\nAnswer: 127, 307, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -392\/66415 + -2\/185. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 226 and 19631603?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fczgfffgggf. Give prob of picking 2 g.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43459*p + 115*p**3 + 2 - 43459*p.\nAnswer: 115*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 187297 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17914\/7 - -525176\/203. Which is smaller: b or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 2*m - 50 = 0, d + 4*m - 8 - 2 = 0. Let w(x) = -x**2 + 11*x - 9. Let r be w(d). Calculate the remainder when 17 is divided by (-33)\/(-3) - 2\/r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = -4*o - 3*h + 13, 0 = -h - 1. Suppose 2*j + j - 2 = c, 4*c - 3 = j. Put o, 0, c in decreasing order.\nAnswer: o, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 21 = 11. Calculate the smallest common multiple of y and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.3, 6\/7, -0.013, 4, -0.3, -9, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**2 - 33*p + 88*p - 44*p - 27. Does 3 divide x(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -300, 21\/5, -0.1, -0.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1872)*-2)**2*5 - (sqrt(1872) + -2 + sqrt(1872)*-3)**2 - (-5 + (-3*sqrt(1872))**2 + sqrt(1872) - (sqrt(1872) + (-2*(sqrt(1872) + 1))**2)))*-2.\nAnswer: -41194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1011204396.\nAnswer: 2, 3, 19, 1478369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.28 + 0.62. Let m = -1149.3 - -1149. What is the closest to u in m, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.12 in 0.4, 3\/4, -0.04, -17.6?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 137990 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**0\/(((o\/o**2)\/o)\/o)*(o**(1\/9)*o)\/o*o\/o**(3\/2))**(-3) assuming o is positive.\nAnswer: o**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (100\/30)\/(1\/6*2). Suppose -t = -5*y + j + 18, y - 17 = 4*t. Suppose -2*z = y*c - 866, c + 2*c - 525 = -3*z. Is c a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 101 - 91.2. Let t = 11.8 - n. Is t less than -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32391323 rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 + 10.1. Let i = 0.4 - n. Which is greater: i or -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of -3\/7*k**7 + 0*k**2 + 0*k**3 + 15*k + 0*k**5 + 0 + 0*k**6 - 5\/4*k**4. Find the third derivative of y(d) wrt d.\nAnswer: -1080*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (19 + (-1 - (6 - 2)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3635014904.\nAnswer: 2, 454376863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/305 and -79\/45.\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*q + 651 = -431*q + 9275 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -210*m + 628. Let t be q(3). Sort -3, -5, -100, t in ascending order.\nAnswer: -100, -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2884804 days in milliseconds?\nAnswer: 24924706.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-1*sqrt(3))**2 - (sqrt(363) + 3 + sqrt(363)).\nAnswer: -22*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 x when three letters picked without replacement from {k: 4, x: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 5*w - 42. Suppose 7*c - 2190 + 1202 = -45*c. What is l(c)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2502 and 46?\nAnswer: 57546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x**5\/3 - 8*x**4 - 28*x**3\/3 + 24*x**2 + 176*x\/3 + 32 = 0 for x.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 15*g + 849. Let o be l(-55). Let t = -9 - -24. Let v = o - t. Calculate the least common multiple of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, -5, 1761 in descending order.\nAnswer: 1761, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 99*u + 550 - 72 + 1106 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -5*l**2 + 6*l**2 - 3 - 214*l**3 + 2*l + 213*l**3. Let x = 170 + -170. Determine b(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6048147 or -6048148?\nAnswer: -6048147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 8) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 187 - 90. What is the remainder when q is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 AM and 11:56 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 3*r = -6, -12 = 4*x - 4*r. Let d be x*3*6\/42. Which is the third smallest value?  (a) d  (b) 0.4  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 86 times -5\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -x**4\/7 + 334*x**3\/7 - 9724*x**2\/7 + 18120*x\/7 = 0.\nAnswer: 0, 2, 30, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 136278573?\nAnswer: 3, 31, 1465361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17)*3 + 4)**2 - sqrt(68)*-4.\nAnswer: 32*sqrt(17) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5dc (base 16) in base 11?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10990, 10991, 10992, 10993, 10994, 10995?\nAnswer: 10996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 5\/4, -5, 4\/53, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -115420873 divided by -1120591.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**3 - v**2 + 3. Let m be g(0). Suppose -2*z - f = 2*z - 316, 0 = 4*z - m*f - 332. What is the highest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 + n**2 - n - 1. Let q(b) = b**3 + 2*b**2 - b. Let p(v) = 4*h(v) - 3*q(v). Let c be p(6). Suppose 3*m - 4*m = -c. Round m to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 46 = 18. Let w = v - 12. Which is smaller: w or -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6885 = -32*a + 3419. What is the smallest common multiple of a and 368?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39\/(117\/7706)*(5 - 2\/(-2))?\nAnswer: 2, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 17, 87, 157?\n\"Answer: 70*s - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/8, 5, -2\/8549, -1\/11?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 4:38 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**(-2\/5)))**(-6)\/(h*h**(1\/2))**(-38)*((h*h**(-1\/4)*h)\/h)**(1\/53)\/(h*h**(-3)*((h\/h**8)\/h)\/h) assuming h is positive.\nAnswer: h**(69551\/1060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7574149 is divided by 162.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mlmjlmqljqmnlz. Give prob of sequence mq.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g - 42. Let r be k(0). Let f be -2 - (-5)\/((-15)\/r). Let d = 23 - f. Calculate the remainder when 30 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a**2 - 3*a**2 - 2*a**2)*(-13*a**3 - 3 + 3) + (3*a**4 + 2*a**2 - 2*a**2)*(2*a - a - 2*a) + 2*a**5 + 0*a**4 + 0*a**4.\nAnswer: 25*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 33\/((-132)\/(-40)) + -3. Solve 0 = 4*q - 20, -3*b + 6*q = 4*q + z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57809.\nAnswer: 57809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1300 + 3311?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of 0*k**2 + 0*k + 55\/3*k**3 + 0*k**4 + 10\/3*k**6 + 63 + 0*k**5. Find the third derivative of p(f) wrt f.\nAnswer: 1200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 5*i = 23 - 26, -12 = 4*i. Which is the closest to 0.4?  (a) 0  (b) j  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 27\/2 of a year?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of -2*u**5\/75 - u**4\/15 - 2*u**3\/45 - 24. Factor k(y).\nAnswer: -2*y**2*(y + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20, -89, -282, -659, -1280, -2205?\nAnswer: -3494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -132636310*z**2 - 392865893?\nAnswer: -265272620*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1093234937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gams when four letters picked without replacement from {g: 7, m: 1, s: 2, a: 8}?\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 + 4*g + 5. Let z(p) = -p**2 - 177*p - 7829. Let f be z(-91). Let w(j) = j**2 + 7*j + 9. What is f*w(l) + 5*t(l)?\nAnswer: 2*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.015 - -5.82. Let u = -0.425 - q. Let w = u + 0.23. What is the third smallest value in 4, 0, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*s - 378*s = 20726 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 3)\/(((-21)\/28)\/1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 22616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 + 6*g**2 - 10*g - 9. Let b be d(-7). Suppose 0 = 2*c + 6, -h + b - 186 = 5*c. Let z = h - -325. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -137167 + 137103.109. Let z = g - -64. Round z to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00084659024 rounded to 7 dps?\nAnswer: 0.0008466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 151 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -2*n - 22, 5*u + 3*n = 5 - 62. Let s = 16 + u. Let z = s + -2. Solve -i = z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1617773695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 5*p**2 + 2 + (-3*p**2 + 0*p**2 + 4*p**2)*(0 - 2 + 12) as r + n*p + y*p**2 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 22, 36, 64, 112, 186, 292, 436?\n\"Answer: n**3 + n**2 + 4*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -141494*o**3 + 11?\nAnswer: -424482*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1467930 and 501?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2 - 48*b + 208.\nAnswer: -(b - 4)*(b + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 114719048 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (4 - 1) - (7 - 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 + 5. Let x = -48 - -62. Calculate the greatest common factor of g and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 - 2*w**2. Let x(l) = -6*l**3 - 9*l**2 + l. Give 11*b(m) - 2*x(m).\nAnswer: m**3 - 4*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - d - 18 = 0, -2*d = 6 - 0. Let t(c) = 2*c**2 - 37*c - 57. Let a be t(20). Solve x*b - 12 = -a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 109821?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -32 + 33. Calculate the common denominator of 117\/10 and -1*o*(7 + (-368)\/56).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.091 * 24\nAnswer: 2.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 5*s + 172 = 0, s + 252 = 4*t - 0*s. Let n = -12 + 172. Calculate the greatest common factor of n and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-8)\/t*(t*t\/(t\/t**(-2)))\/t)**(2\/67))**(-2\/73) assuming t is positive.\nAnswer: t**(44\/4891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2725650 minus 873612?\nAnswer: -3599262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 283123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 8) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2260, 4503, 6746, 8989?\nAnswer: 11232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -333242023 + -5?\nAnswer: -333242032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 69 and 41331.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or -5\/36238?\nAnswer: -5\/36238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -41*i + 56. Suppose -20*u + 12 = -22*u. What are the prime factors of n(u)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 2 v when four letters picked without replacement from vevvevv?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6599359869 to the nearest integer?\nAnswer: 81236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-36 + 1852 + 101)*(-4*j + 4*j + 3*j**2) as g*j + k*j**2 + h and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/(-6))\/((-8)\/6). Is x less than or equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4297 - -4305. Let v = -6 - -10. Suppose 3*m = v*m - 2. Calculate the greatest common factor of m and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -182, 2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 2744940 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1275\/58 < -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 12:19 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 + 352*w**2 - 353*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gljjgjjgjgggffjljgjf. Give prob of sequence jgjf.\nAnswer: 49\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**4 + 156*r**3 + 333*r**2 - 486*r.\nAnswer: -3*r*(r - 54)*(r - 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20880 and 52200.\nAnswer: 104400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 28\/47?  (a) 0.5  (b) 0.102  (c) -0.043\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -3*d**3 - 341*d**2 + 37*d - 8494. Determine b(-114).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 243 and -159?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -4*x**2 + 74*x. Let l(r) = -r**2 + 25*r. Let v(o) = 17*l(o) - 6*u(o). What is the second derivative of v(j) wrt j?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2488855 is divided by 3457.\nAnswer: 3272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of 425*k**4\/12 - 722*k**3\/3 - 53*k + 4. Find the second derivative of t(w) wrt w.\nAnswer: 850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -4 and -9.65.\nAnswer: -13.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 29*w**3 + 58*w - 58*w + 0 - w**3 + 0 + (-3*w**3 + 5*w**3 - 4*w**3)*(-1 + 1 - 5) - 2 + 2 + 2*w**3.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -322923, -322849, -322723, -322545, -322315?\n\"Answer: 26*b**2 - 4*b - 322945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*m**2 - 6*m + 2*m + 3*m)*(2 - 6 + 3)*(3 + 5 - 2) in the form t*m**2 + w + g*m and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 + 7*z**2 + 6. Let s be v(7). Factor -f**3 + 4*f**2 - s*f**2 + 5*f**3 + 6*f**2.\nAnswer: 4*f**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4363 + 6459. Is l a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(2 + sqrt(539)) + sqrt(539) + sqrt(539) + sqrt(539) - sqrt(539)*5*3)**2.\nAnswer: 2380*sqrt(11) + 155871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11532200 plus -0.1?\nAnswer: 11532199.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6083261.\nAnswer: 1009, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 23*i**3 - 3*i**2 + 4*i - 2. Let r be y(1). Are r and -31 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 350*v - 1. Let b(n) = -n**3 + 4*n**2 - 4*n + 17. Let o be b(4). What is the units digit of r(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 143 a factor of 8879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10\/9*r + 1\/9*r**4 + 8\/9*r**2 + 10\/9*r**3 - 1.\nAnswer: (r - 1)*(r + 1)**2*(r + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -252831 (base 9) to base 13\nAnswer: -54871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23149 divided by -7.\nAnswer: -3307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hxuwnww. Give prob of picking 3 w and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 9:55 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 13736 divided by 4\nAnswer: 3434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 127 = v, 2*w = -2*w - 5*v + 261. Let z be ((-6)\/(-8))\/((-4)\/w). Which is smaller: -16 or z?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4307185 is divided by 1076794.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3821*p**3 - 7665*p**3 + 4651*p**3 - 8496*p**3.\nAnswer: -15331*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 196210 and 38990.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -10*r**2. Calculate j(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 + 27 = -3*k + 2*j, -5*j - 49 = 4*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of -1\/8*g**4 - 1\/2*g - 3\/4*g**2 - 21 + 5\/8*g**3. Determine r, given that c(r) = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (((sqrt(90) - (sqrt(90) - (sqrt(90)*-1 - sqrt(90))*-3)) + sqrt(90))*1)\/((-3*sqrt(192)\/sqrt(8))\/sqrt(12)))**2.\nAnswer: -14*sqrt(5) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-1) - -1 - 13. Let n be (-4)\/14 - 354\/x. Suppose -3*c = 4*b - 0*c - 34, 5*b - n = 5*c. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 127 + 80 = 5*m - r, -12 = -4*r. Let c = m - 47. Let f(w) = 21*w**3 + 14*w**2 - 14*w. Let p(v) = 7*v**3 + 5*v**2 - 5*v. Calculate c*f(l) + 14*p(l).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1343, 1285, 1195, 1061, 871?\n\"Answer: -2*u**3 - 4*u**2 - 32*u + 1381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 133504504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of 35*r**8\/3 + 2375*r**4\/6 + 1063*r**2 - 2*r. What is the second derivative of q(z) wrt z?\nAnswer: 78400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 - 7.8. Let k = 2.5 + -10.5. Let r = -10 - k. Which is the smallest value?  (a) h  (b) 2\/5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes after 6:26 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**2 - 9*a - 3. Let v be r(8). Is -11 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-21 - (-14 - (-2 + -2 - 23))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -202.4 rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3450000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/((n**(2\/7)*n)\/n)*n)\/n*n)**(-2\/95)*(n*n**(-4))\/n**(-1) assuming n is positive.\nAnswer: n**(-1354\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**2\/2 - 17805489*q - 105678479509707\/2.\nAnswer: -3*(q + 5935163)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 18000337.32 microseconds in weeks?\nAnswer: 0.0000297624625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 23540789443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3977427415?\nAnswer: 5, 13, 19, 359, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80717 is divided by 161?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.555?  (a) -1\/9  (b) -3\/2  (c) 2678  (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 + 7*r**2 - 3*r - 5. Suppose 4*a + a - 34 = -4*h, a - 10 = -4*h. List the prime factors of i(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 254 - -58?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 327051\/64 - 5111. Calculate the common denominator of u and -15\/11.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-150)\/(-25) + (8 - -2)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35 + 5 + 2*j**2 + 94 - 3*j to b*j + p*j**2 + t and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*i + 49*i - 5*i + (i - 3*i + 0*i)*(-4 + 5 + 0) - 3 + i + 3 + (3 - 6 + 1)*(-2*i + 4 - 4) - 4*i - i + 4*i.\nAnswer: 41*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -5*q. Let p(x) = 24*x + 16. Let n(y) = 5*h(y) + p(y). Give n(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3*-9)\/((12\/40)\/1). Let b be a\/21 - -2*(-2)\/(-14). Let g = 187 + -186. Put g, 6, b, 4 in descending order.\nAnswer: 6, 4, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 10 = -0*n. Let u(w) = w**3 + 44*w**2 + 88*w + 170. Let b be u(-42). Solve 3*i - b + n = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2516958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -14*l*y**2 + 9*l + 56*y**2 wrt l?\nAnswer: -14*y**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9676 and 472?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*k**3\/15 - 104*k**2\/15 + 34*k\/15 + 2312\/15.\nAnswer: 2*(k + 4)*(2*k - 17)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (156 - 409 + 175)*(4*x - 41 + 41).\nAnswer: -312*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -14*p**3 - 4*p**2 - 8*p - 12. Is r(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 153*f = 157*f - 2*u + 26, -3*f - 16 = -u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 340 = -263*u + 280*u. Solve 183 - 63 = u*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 2*j + 4*j - 16 = 0, 3*j - 26 = -5*k. Suppose 2*x - k*x + 12 = 0. Suppose s - 23 = -x. Calculate the remainder when 31 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 27*j**2 - 2*j - 38*j**2 + 2*j.\nAnswer: -11*j**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 26 + -28. What is the closest to -1 in g, 13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 - 4*m**2 - 2*m + 2. Let l be g(-3). Let k = -0.192 - 0.008. Which is the third smallest value?  (a) -2  (b) l  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-81)\/170 - (2 + -4). Let z be 2 + 1*(-807)\/51. Let w = y + z. What is the common denominator of -17\/16 and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l - 4. Let u be d(4). Suppose u = 4*b - 32 - 0. Suppose -5*f = h - 9 - 50, 4*h + 39 = 5*f. Calculate the lowest common multiple of f and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*x - 9*x - 3 = -2*w, -4*x = 5*w - 19 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -139*r**3 + 5*r - 6. Let g(h) = -232*h**3 + 9*h - 10. Give 8*g(d) - 13*m(d).\nAnswer: -49*d**3 + 7*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 + 328.6211\nAnswer: 328.9211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 4*f + 18 + 39, 2*f + 57 = 3*k. What is the remainder when 34 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 7208, 0.018, -5, -56?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*k**2 + 14*k**2 - 16*k**2 + 14*k**2.\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-105))\/((-60)\/(-50))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of -3*i**2\/2 + i + 1. Let o(x) = -x + 4*x + 8 - 2*x + 0. Let w be o(-6). Determine s(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14085348443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7701, 15369, 22997, 30585, 38133?\nAnswer: 45641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 875992543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of z**3\/6 + 2*z. Let s(t) = -2*t**2. Determine s(i(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - 205?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -356 - -359. Let d = -16 + 42. Let z = d + -21. Solve z*b = b + 8, 2*f - 6 = -l*b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 1 t when three letters picked without replacement from tvbbtvtvbbvv?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3 and 688076?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes after 2:05 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -53, -224, -517, -938, -1493, -2188?\n\"Answer: -i**3 - 55*i**2 + i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 90\/(-10) - 414\/(-27)\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-105)\/84)\/((-2)\/40). What is the greatest common divisor of 175 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 11:23 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + 2. Let p = -5 + o. Which is greater: p or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**3 + 2*w**2 - 4*w + 1. Let q be n(-3). Let s = 19 + -22. Sort q, s, -5 in increasing order.\nAnswer: -5, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -598  (c) 1\/3  (d) 4  (e) -0.3  (f) -22\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 114063?\nAnswer: 3, 193, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*m + 42*m + 1032 = 76*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3953156.\nAnswer: 2, 293, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-1)*4\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -53724497 smaller than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1128\/(-470))\/((-12)\/190) - -2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20011111 (base 3) in base 4?\nAnswer: 1012033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.28 and -2.\nAnswer: 8.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 AM and 2:02 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 890335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.7 in 49, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -33b6b4 (base 12) to base 10\nAnswer: -828712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50 is divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -683*s**2 - 345*s**2 + s + 76 - 55*s**2.\nAnswer: -1083*s**2 + s + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the second derivative of -m**5\/100 - 43*m**4\/60 + 89*m**3\/30 - 9*m**2\/2 + 1439*m. Factor v(h).\nAnswer: -(h - 1)**2*(h + 45)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -924*p - 1130*p - 2054 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -170 + 168. Which is the nearest to -14?  (a) -0.3  (b) -1\/6  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12079201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ngnggnngggngnnggggsg.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -14.66796792 to 3 dps.\nAnswer: -14.668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = -2126*f + 2130*f - 4*t, -f + 13 = -3*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 4*z = -8, -3*f + 0*f = -z + 2. Let s = 8.9721 - 26.9721. Which is the fourth smallest value?  (a) -0.2  (b) s  (c) f  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4542 != 4544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7878360 divided by -332?\nAnswer: -23730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 58933270689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -70*f**3 + 21*f**2 - 11*f + 25. Give d(2).\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**2. Let z(m) = -m - 2. Let u(o) = 1. Let j(x) = -6*u(x) - 3*z(x). Calculate r(j(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 181517905.\nAnswer: 5, 79, 157, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5702140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4 + 1)*(-8)\/6. Let b be (-3)\/(-2) - 3\/(18\/(-15)). What is the first derivative of o - 10 + 1 + b*z**4 wrt z?\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -9*n + 106. Let h be p(9). Suppose -h*c + 2640 = -3*c. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 9 = -29. What is the lowest common multiple of (-9)\/(-2) - 1\/2 and (-165)\/(-10)*t\/6?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -252.000009378 - -252. Round p to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 2*l**3\/9 - 2406572*l**2\/3 = 0.\nAnswer: 0, 3609858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -3*y + 121. Let r be x(19). Calculate the highest common divisor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 7017, 28077, 63185, 112347, 175569, 252857?\n\"Answer: f**3 + 7018*f**2 - f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 172224 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -589*q**2*r**3 - q**2*r**2 + 20035*q**2*s - q**2 + 763*q*r**3*s - 3*q*r**2 - 2*q*s wrt r.\nAnswer: -3534*q**2 + 4578*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yybbbb. Give prob of picking 1 b and 2 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 799450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -88*s**4 + s**3 - 650*s**2 + 2797549*s + 2?\nAnswer: -1056*s**2 + 6*s - 1300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157*q = 47*q + 104*q + 1540 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8.05 + -8. Let x = l - 0.0494. Round x to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*l, 0 = 2*c + c - 2*l - 6. Suppose -20 = -z - c*z. Find the third derivative of 7 - 2*a**2 - 2*a**z - 7 wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -73.8 + 97. Let y = v - 23.3. What is the second biggest value in -3, y, 0.03, 1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1571*k - 3224*k - 24258 = -1342*k for k.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 113540 and 431452.\nAnswer: 2157260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t - 5. Let f be x(-8). Suppose -q - f*q + 5*m + 268 = 0, 3*q - m = 190. What are the prime factors of q?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 176\/(-84) - -2 - (-592)\/924.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 + 1 - (2 + 1)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -179 + 187. Suppose -s*o - 15 = -13*o. Factor 8*t + 2 + 9\/2*t**o + 21\/2*t**2.\nAnswer: (t + 1)*(3*t + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-5985)\/7*-17 - 10?\nAnswer: 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 12:48 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1\/781862 - 59029459\/877249164. What is the common denominator of -9\/14 and p?\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.02 + -4. Let f = -52.98 - -51. Let t = p - f. Which is smaller: t or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 3) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -82632 divided by -6.\nAnswer: 13772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14 + 14. Suppose d - 5 = -i*d. Suppose -4*c - 4*x = -336, d*x + 29 = 2*c - 160. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 122207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.3 and 14.\nAnswer: 18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 - 6*z**2 + 6*z + 9. Let g be u(-7). Suppose -173 = -10*r + 156 + 471. Calculate the highest common factor of g and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -10*a - 1. Let g(k) = 6*k. Give g(h(c)).\nAnswer: -60*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -82*t - 345. Let s(d) = 54*d + 230. Let a(k) = 5*b(k) + 8*s(k). What is the lowest common multiple of a(-5) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1243, 15733, 61807, 151529, 299449, 520117, 828083?\nAnswer: 1237897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 202.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 707807.6 - 2244.059.\nAnswer: 705563.541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -3*m - 0, -3*a + 125 = -2*m. Let y = a + -9. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the second derivative of -7*u**5\/20 - u**3\/6 - u**2\/2 + 3*u. Let t be i(-1). Let p = -71 - -134. Calculate the highest common factor of t and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p - 2. Let k be o(10). Let z be 36\/k*(-6)\/(-9). Let c be 0 - z*(-3 - 2). Solve 3*y = -0 + c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 52\/130 + (-5306)\/(-10) + -1. Suppose d - u = -3*a, 2*a - 4*d = 400 - 28. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -6877, -13779, -20703, -27649?\n\"Answer: -11*t**2 - 6869*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, t: 1, e: 5}. What is prob of sequence tue?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -11, -5, 1?\n\"Answer: 6*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1081 and 235.\nAnswer: 5405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 171 - 165. Solve -n - 3 - 9 = 3*j, -j - n = a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-57 - 129 - 30)*(2*r - 4*r - 3*r).\nAnswer: 1080*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the third derivative of -a**6\/120 + a**5\/60 - 1340*a**3\/3 + 30*a**2. Let k = 1 + -1. Let y be m(k). Round y to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -n**2*p**3*x**3 - 139*n**2*p**2*x - 2*n*p**3*x**3 - 5*n*p**3*x - 25*n*p**2*x + p**2*x**3 wrt n?\nAnswer: -2*p**3*x**3 - 278*p**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1183*l - 4*g = 1185*l - 28, 5*g - 25 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 9, f: 3}. What is prob of picking 4 g?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (1\/2)\/(((-390)\/(-20))\/(-13))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v + 58851*x - 58855*x + 131, 0 = 4*x - 128 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/125, -1341, 85, 0.2?\nAnswer: -1341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -21310211 + 5?\nAnswer: -21310202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -78ccc8 (base 15) in base 3?\nAnswer: -101211211201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -8*l**3 - l**2 + 8*l + 12. Let a(h) = 19*h**3 + 3*h**2 - 17*h - 25. Give 3*a(c) + 7*n(c).\nAnswer: c**3 + 2*c**2 + 5*c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 14389837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40909*i + 35 = -40902*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-14)*q**13 assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1221131 by -15.\nAnswer: 1221131\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-39)\/26*(-4)\/(1 + 1). Suppose -4 + d = r. Let o be 2044\/49 - 2*r\/7. Calculate the greatest common divisor of 28 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 638 + 821 - 2002 + 5*u + 1009 as z*u + r and give r.\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 - 3)*(560*n**3 + 400*n**3 - 2 - 1684*n**3).\nAnswer: 1448*n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + s = -2*s + 18, 4*w - 5*s + 27 = 0. Let h = -7\/2 - w. What is the biggest value in h, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76401736 to the power of 1\/2, to the nearest integer?\nAnswer: 8741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*v + 18*v - 24*v + 3*v - 504 = 0 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from {m: 2, u: 1, s: 7, q: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10 by 42914.\nAnswer: -5\/21457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.3  (b) -0.1  (c) -67\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 21*u**2 + 180*u**2 - 87*u**2 - 17*u + 129*u**2 + 136*u wrt u?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 10*y + 10*y - y. Let f be x(2). Let w = f - 27. Calculate the lowest common multiple of w and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 455449 + -289523. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = y + 30. Suppose 5*x + 0 = y. Let -12*o**x + 8*o**2 + 0*o**5 + 4*o**5 + 12*o**3 - 8*o**4 - 4*o = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -2*l. What is p(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.16 - 0.7. Let x = t + 0.64. Which is the biggest value?  (a) -5  (b) x  (c) -2  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 + 8. Let q(c) = -c - 7. Determine q(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2415 = -4*t - 5*m, 0 = 6*t - 2*t + m - 2403. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -23170000 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6553 - 39437\/6. What is the common denominator of 91\/2 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -2*v**2 - 49*v - 171. Let p(x) = -256 + 171 - 15*x - x**2 - 9*x + x. Let f(u) = 2*a(u) - 5*p(u). What is the derivative of f(r) wrt r?\nAnswer: 2*r + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4980*d + 372968 - 45874 = -155966 for d.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 2*c + 32. Let l be u(-15). Let d(b) = 6*b**3 - 2*b**2 + 8*b - 5*b + l*b - 2*b. Calculate the remainder when 38 is divided by d(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b + 12. Let h = 123 + -125. Let s be i(h). Suppose 1 = t - s. Calculate the smallest common multiple of t and 28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 507483 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11190 = -4*b + 10*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 12:28 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -11 - -52 - (-1 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 300912337.8 to the nearest one million.\nAnswer: 301000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9\/(-2)*80\/30. Which is greater: -53\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**3 + 251154*b**2 - 5256276480*b - 10513557600.\nAnswer: -3*(b - 41860)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 107 + 1 + 0 + -6 - (1772 + -1780).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, -0.2, -932443 in decreasing order.\nAnswer: -0.2, -2\/3, -932443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.016 + -0.016. Sort k, -16, -0.2.\nAnswer: -16, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**(1\/4)\/v)*v)**(-2\/51))**(-29)*(v\/(v*v**(-1\/2)*v))**(3\/7)*v**2\/(v*v**(-1)) assuming v is positive.\nAnswer: v**(1754\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 + -17. Sort m, 0, -4\/11.\nAnswer: m, -4\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -160 - -263. Calculate the remainder when w is divided by 46.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (72 + -22 - 47) + (-16 - -12 - (2 - -78))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8418 - 820*l**2 + 8418 + 133*l**2.\nAnswer: -687*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2201.1 + -17015226.387?\nAnswer: -17013025.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, -32, 22 in decreasing order.\nAnswer: 22, 4, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(49)*1)\/sqrt(7) + sqrt(7) + sqrt(175)*2)*-4.\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 69*c**3 - c**2 - 3*c. Determine m(-1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14303496?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -37ee (base 16) to base 4\nAnswer: -3133232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -u**4 + 11063*u**3 - 878*u**2 - 205?\nAnswer: -24*u + 66378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gaut when four letters picked without replacement from {c: 2, u: 4, t: 2, g: 1, h: 2, a: 1}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -107107, -107098, -107067, -107002, -106891, -106722?\n\"Answer: 2*p**3 - p**2 - 2*p - 107106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4206236?\nAnswer: 2, 1051559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-0.0228293.\nAnswer: 0.0456586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.3 + 0.7. Let f = 0.7 + -1. Sort j, f, 0.2.\nAnswer: f, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -23 in -16095, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 3*m - 5*q, 5*m - q = 45 + 28. Let p = 76 - 88. Let g be (-614)\/(-6) + p\/36 + -4. What is the greatest common divisor of g and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/30822 and 5\/184932?\nAnswer: 184932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 - 6*f**2 - 7*f - 9. Let r(q) = -q - 19. Let s be r(-12). Is a(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20281256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-7)\/(-2)*-8*(-54)\/24 is divided by -1 + -1 + 0 + 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46287149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 846 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 9:09 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7d8ff (base 16) in base 4?\nAnswer: 1331203333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -96*y**3 - 45896*y**2 - 3820*y + 1912 = 0.\nAnswer: -478, -1\/4, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 18921758 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-120)\/192*89\/10*1 and -63\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 303, 2194, 7265, 17106, 33307?\n\"Answer: 265*h**3 + 36*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t - x + 16, 3*t + 3 = -3*x + 21. Suppose t*y = -583 - 142. List the prime factors of 1*(3 + -4)*y.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (669 - 507 - 453)*(-1 + 1 - 4*z**2).\nAnswer: 1164*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyyxxnyxu. What is prob of picking 1 u and 1 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.5 - 2. Let z = -0.008 + 3.008. Which is the second smallest value?  (a) z  (b) j  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -1324*u - 3963. Calculate d(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -85 + 87. Let n(r) = 6*r + 830*r**2 - 139*r**2 + 4 + 79*r**s. Let z be n(-4). What is z rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -46 - 20. Let o = f - 36. Suppose 4*i - o = 2*i. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 156651?\nAnswer: 3, 11, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.081 at most -803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n**4 - 61 + 46*n**2 + 28 + 2*n**4 + 0*n**4 - 3*n**3 + 32 to w*n + a*n**2 + g*n**4 + q + t*n**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -51870224, -51870229, -51870234, -51870239?\nAnswer: -51870244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 14454 (base 6) to base 16\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 112010341 - 131?\nAnswer: 112010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 - 2)*(-102 + 102 - 3*u**3 + (3*u + 2*u - 6*u)*(0*u**2 + 2*u**2 + 0*u**2))*(1 - 1 + 2*u**2).\nAnswer: 30*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 + 7*a**2 + 7*a + 7. What is the smallest common multiple of n(-5) and (-130)\/(-6) + 3\/9?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 2 w when four letters picked without replacement from {w: 17, f: 3}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -714*b*l - 2*b*m + 88*l*m wrt m.\nAnswer: -2*b + 88*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 225889416 a multiple of 1284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5 + 4)*(3 + -7). Suppose -1 = -z - j, -s*z - 3*j + 2 = -3. Solve 4*q + 2*d + 14 = -6, -10 = z*q - 2*d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (2 + -2) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((6 + -3)\/(-3))\/(210\/60).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 5 + (-1 - -3 - 4) + 29 - -3.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l + 220 = 256 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the second derivative of 0 - 10*a - 1\/6*a**3 - 3\/2*a**2. Determine i(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3336, 0, 4, 6, -1 in increasing order.\nAnswer: -1, 0, 4, 6, 3336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-14)\/273 - 476\/(-156). Suppose 3 = -4*w - 1. Sort u, 4, 13, w in increasing order.\nAnswer: w, u, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, j: 1, n: 3}. Give prob of picking 1 n, 1 j, and 2 g.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -35 - -36. Let n(u) = 2*u**2 + 5*u - 5. Let o be n(k). Solve 3*j = -o*j, -10 = -5*i + 5*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12092?\nAnswer: 2, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/11  (b) 131\/6  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -3. Let l(o) be the first derivative of -o**2\/2 - o + 401. What is 2*k(a) - 4*l(a)?\nAnswer: 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 3*q**2 - 123*q + 444 = 0?\nAnswer: 4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 18*b + 11. Let o(n) = 9*n + 5. Let x(y) = -2*y - 25. Let a be x(-17). What is a*o(i) - 4*c(i)?\nAnswer: 9*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7*(-49)\/((-61740)\/3105))\/((10\/8)\/5).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 - 61*y - 959. Calculate j(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16 + 15.8. What is the nearest to -2\/7 in 0.4, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 917 + 371. Suppose -r = -4*l - 4*h, 4*l = 9*h - 5*h + 1264. Calculate the greatest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 315478994?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, t: 2, m: 1, d: 5, o: 7}. What is prob of sequence dtdd?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1824 smaller than 1819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - -2. Let h = -6.967 - -2.967. What is the third biggest value in q, h, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-5)\/((-5)\/48))\/1. Suppose -v + 5*t + 10 = 0, t - 2*t - 2 = -5*v. Let d = v + i. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2631111 (base 8) in base 14?\nAnswer: 1515a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(0 + sqrt(2)) - (sqrt(8) + -1)) + 2)*-4.\nAnswer: -12 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -29 + 27. Sort 2\/13, s, 8, -0.4.\nAnswer: s, -0.4, 2\/13, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -1120*m**2 - 2*m - 575. Let s(g) = 2219*g**2 + 5*g + 1150. Let f(a) = 5*r(a) + 2*s(a). Differentiate f(c) wrt c.\nAnswer: -2324*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1001011011010111 (base 2) to base 11.\nAnswer: -27015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/(-3) + 1 - 0. Let w = 2\/55 - 59\/110. Which is the nearest to j?  (a) w  (b) 3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4 from -0.009.\nAnswer: 3.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 21\/(-28)*(-1 + -3). Solve 0 = z*c + 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**1)**(-2)*(k**2)**(1\/2) assuming k is positive.\nAnswer: 1\/k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the third derivative of -f**4\/24 - 5*f**3\/3 + 31*f**2. Determine a(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -7*v**2 - v - 8. Let b(a) = -a**2. Let u(m) = -6*b(m) + w(m). Suppose 4*d + 9 - 20 = 3*l, 3*d - 3*l = 9. Let x be 0*-1*d\/4. Give u(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 547 and -58547.1?\nAnswer: -32025263.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-6)\/12*0\/(-2))\/3. Suppose 0 = -0*q - 3*q + 3*y + 9, c = -4*q + 5*y + 15. Suppose -4*j = 4*o - 384, -5*j + q = 15. 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 the thousands digit of 7186?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 - (3 + (-2 - 0)). Suppose b = 2*v - 9 - 5. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-464)\/(-145))\/16)\/((-4)\/((-6420)\/3))\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p = -3*p + 2*y - 20, 2*y - 6 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(176) + sqrt(176) + 3) - (-1*sqrt(275) - -2*(2*sqrt(11) + sqrt(11))).\nAnswer: -9*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + 0 - (-3 + 7 + -6 - -4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 14 - ((-2)\/6)\/((-8)\/24). Suppose 22*h = g*h - 794700000. Round h to the nearest 1000000.\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61797?\nAnswer: 3, 20599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 10, s: 9, a: 1}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1227)\/(-818))\/(15\/(-1360)*10)?\nAnswer: -68\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 - h + 1. Let w be c(0). Suppose p = w + 2. Suppose p*i - 9 = 2*u - 32, 3*i = -u + 16. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 10520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 18.00619 millimeters?\nAnswer: 0.01800619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 + 6*u**2 + 4. Let s be r(-6). Suppose -19 = -5*c + 4*v, -c - s*v - 1 = -0*c. Solve m - q = -0*m - 5, 3*m = -q - c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 3, v: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 + 59*v**2 - 221*v + 54. What is z(55)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-161)\/644)\/(7\/588).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 2*u**3 + u**2 - 2*u + 1. Give b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8653.9725 microseconds in days?\nAnswer: 0.00000010016171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - 7 - (0 - 19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 255 is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 + 6 - 2 - d - 6*d. Let u = -524 - -525. Let r be -12 + -5 + 14 - (2 + u). Give x(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -379*d - 19 = -360*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 51655 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -10502, -2 in ascending order.\nAnswer: -10502, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*g = -164*g + 251930. Is 35 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 1 - 9 = 5*n, n + 19 = 3*b. Suppose -b*h + 12 = -4*h. Is (h\/(-8))\/(2\/(-28)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39 - 44. Let a be ((-36)\/7)\/(-6) + 2\/14. Let z be 3 + 0 - (-3 - -1). Sort s, z, a in descending order.\nAnswer: z, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of f**5\/60 - f**4\/24 + 4*f**2. Let s(c) = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -141375 divided by 3625\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15326149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1684346 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 180637205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1339282039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1958, -8058, -18224, -32456?\nAnswer: -50754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 8:43 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -94 - -226. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**5 + 4*y**3 - 4*y**3 + ((0 + 0 - 2)*(-2*y**4 - y**2 + y**2) + 2*y**4 + 2*y**4 - 6*y**4)*(-1 + 1 - 2*y).\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 - 15*h + 16. Let i be x(14). Solve -s + 5*m - 12 = 6, 0 = i*s + 2*m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00003580115221 rounded to seven dps?\nAnswer: -0.0000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -38778 - -5?\nAnswer: -38773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 30969 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*(128\/(-48) - (-19)\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -27898.12 times 2.5\nAnswer: -69745.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -34583353156*z**2 - 1487728*z - 16 = 0.\nAnswer: -2\/92983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49, -508, -1763, -4216, -8269?\nAnswer: -14324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 106, -368.67, 0.4, -5, -1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 3*z + 19. Let i be t(-5). Suppose i*m = -1513570 - 9366430. Round m to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8371945937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -5*p**4 + 18*p**3 - 28*p**2 + 22*p - 5. Let i(o) = 10*o**4 - 35*o**3 + 55*o**2 - 45*o + 10. Let v(y) = 2*i(y) + 5*u(y). Let v(b) = 0. Calculate b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t*t\/((t\/(t*t\/((t\/t**5)\/t)*t)*t*t)\/t)*t)\/(t*t*t**7*t))**(5\/2)*((t\/((t*t\/(t**(-2)\/t)*t)\/t))**(1\/23))**(-31) assuming t is positive.\nAnswer: t**(363\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*(1 - 0) + 280\/7. Let u = h + -40. Let c be u\/(-9)*(-6 - 6). Sort c, -4, 2 in descending order.\nAnswer: 2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -390 by 78.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1152)\/(-45) - (10 + 1015\/(-100))*-4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -69485\/3 or -23161?\nAnswer: -23161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is two fifths of a millimeter in micrometers?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Is 2402441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3 - (-4)\/(-2))*-7. Let h(v) = -v**3 - 7*v**2 - 2*v - 10. Let r be h(w). Solve -r*s + 11 = d, 0 = -3*s - 5*d - 0*d + 21 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 54028125 by -225.\nAnswer: -240125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of m**10\/181440 - m**9\/30240 + m**8\/20160 - m**4\/12 - 2*m. Let j(z) be the third derivative of q(z). Factor j(a).\nAnswer: a**3*(a - 2)*(a - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2287 less than 7287.6?\nAnswer: 9574.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.07 + -0.23. Sort -3, -2\/9, c in decreasing order.\nAnswer: -2\/9, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 63\/27*(-1)\/(1\/3). Sort i, 2, -1, -5, -93 in descending order.\nAnswer: 2, -1, -5, i, -93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -332 - -333. Which is the second smallest value?  (a) 0  (b) p  (c) -1\/2  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.52514 millimeters to centimeters.\nAnswer: 0.852514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 - 12*r + 34. Determine l(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z. Let o(x) = 4*x. Let k(s) = -15*l(s) - 3*o(s). Let d = 7 - 1. Let c(b) = 6*b - b**2 - d*b. Determine k(c(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (((-2412)\/14679)\/(-67))\/((-16)\/(-28))\nAnswer: 1\/233","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/12 + (-2)\/(-3). Suppose r = 2*k - 6*k + 40. Suppose 0 = -216*p + 226*p - 120. Calculate the least common multiple of k and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15611 (base 8) in base 3?\nAnswer: -100200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -178*v + 143*v - 792*v + 115 + 712 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 14*q**2 - 10)*(-3 + 1 + 4)*(-1 + q + 1).\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-2) + (-3 - -1). Suppose -3*j - 2*t + 5 = -v*j, 0 = -3*j - 4*t - 5. Which is the closest to -0.1?  (a) 0.1  (b) j  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -426 - -5?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 4795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + -3. Let k be (2 + -2)\/((-1)\/n). Let y be k\/(3*4\/(-6)). Are 1\/4 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 5*k + 15 = 0, -k = p - 3*p - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/9, -926, -4, -9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*s = -2*s + 72. Let g = s + 13. Suppose g = 3*b - 47. Solve b = p + 4*v, -v = -5*p + 4*v - 40 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24 - -20. Let w(m) = -m + 1. Let o be w(-3). Suppose 0 = -v - 2*v. Put v, o, h in decreasing order.\nAnswer: o, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2175492 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (455\/(-3381) + 70\/805)\/((-1)\/(-18))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/84052 and -55\/1102.\nAnswer: 46312652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 + 7*q**2 - 2*q - 1. What is g(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - 31?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + 157a14?\nAnswer: 157a0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 22\/165 + -2*145\/1050. What is the second smallest value in 5, f, -121?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqwm. What is prob of picking 2 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.040279 rounded to four decimal places?\nAnswer: 0.0403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (-7 + (7 - (-10 - -4)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -590 = -5*n + b + 7120, 3*b = -3*n + 4644. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -50*t**5 + 1181715*t**4 - 354426*t**3 - 1985243*t**2 - 307248*t + 141804 = 0?\nAnswer: -1, -2\/5, 1\/5, 3\/2, 23634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 3*m - 6. Suppose 5*q - 29 = 5*z - 2*z, -3*q = 2*z - 6. Let d be h(q). Find the second derivative of -3*u + d*u + u - 4*u**2 wrt u.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f + 66. Let i be r(0). Let k(l) = 193*l + 15423. Let m be k(-79). Calculate the greatest common factor of m and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k**5\/2 - 2*k**4 + 31*k**3 - 78*k**2 + 99*k\/2 = 0.\nAnswer: -11, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 1 n when three letters picked without replacement from {u: 1, v: 9, i: 8, n: 2}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - -1. Suppose -26 = 4*f - z*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 + 6*k + 5. Let g(h) = -2*h**2 + 13*h + 11. What is -4*g(y) + 9*j(y)?\nAnswer: -y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from irmmrj. Give prob of sequence mj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1174054 and 544.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: -71 times -0.5\nAnswer: 35.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 316793142.\nAnswer: 2, 3, 41, 429259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 PM and 8:19 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/35 - (-817)\/(-24871)*22.\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -60*2.589\nAnswer: -155.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -7  (b) -18  (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.4236 + 2254262.719.\nAnswer: 2254260.2954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9.9 + -0.1. Let o = 10.05 + y. Is -0.1 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of -l**4\/12 + 17*l**3\/6 - l**2 + 160*l + 1. Calculate f(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2339, 20161, 68921, 164087, 321127, 555509?\nAnswer: 882701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 33, 1, 2, 3.\nAnswer: -14, 1, 2, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - k - 74 = 3*k, -4*k = 20. Solve 0 = q*n - 14*n - 2*m - 2, 0 = 3*m + 15 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/825)\/(754\/(-1131))*-11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-6 + 50\/8)\/(106\/(-7208))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 2*t + 4 + 3*t**2 - 2*t**2 - 2 + 2. Determine w(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express s + 91893*s**2 - 92124*s**2 + s + 0*s in the form x*s**2 + j + a*s and give x.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 14 + -5*10\/25\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*j + 4*j - 32. What are the prime factors of (-1 + -103)\/j*52\/8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 358719 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 3855, -0.2, -18, 3 in decreasing order.\nAnswer: 3855, 3, -0.2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.1, -1, 0, 32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of -g**3\/6 - g. Let v be i(-1). Suppose s + v = 5. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 10\/142317 and -1\/6777.\nAnswer: 142317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*b**4 - 33*b**2 + 10693*b + 1477808?\nAnswer: 8*b**3 - 66*b + 10693","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.6 + -14.6. Let i = a + 18. Sort -5, 2\/11, i in decreasing order.\nAnswer: i, 2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 2*g + 8*g - g - 3 + 0*g - 2*g. Let h(i) = 6*i - 3. Give 6*h(a) - 5*s(a).\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.53  (b) -8  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8.4*1.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37684\/30 - (-12)\/(-1350)*15?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*785\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9.6280606 and 0.4?\nAnswer: -3.85122424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-5*(sqrt(132) - sqrt(132)*-1))\/(sqrt(72)\/((1*sqrt(24)\/sqrt(4) + sqrt(6) - sqrt(6)) + sqrt(6) + sqrt(6))).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a kilogram in grams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3890 and 392995030?\nAnswer: 3890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from yhhhyhhyyyhyhyhyyyhy.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3797, 7601, 11403, 15203, 19001, 22797, 26591?\nAnswer: 30383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -3946 not equal to -43420\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l - 16. Let y be t(7). Let a be (15\/y)\/(1\/(-6)). What is the remainder when 117 is divided by (15\/a)\/((-1)\/(-16))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29250642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*k**2*u - 316*k**2 + 3*k*u + 8*k - 2*u wrt k?\nAnswer: 4*u - 632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the second derivative of f**4\/12 - 6*f. Let y = 0 + 0. Let l(p) = -p + y*p - 2*p. Determine t(l(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-1\/3))**(-21)*((s**(2\/5)*s)\/s)**26 assuming s is positive.\nAnswer: s**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-10) + 47\/5. Let o = 1 - c. Let u be (0\/o)\/(1 + -2). Solve 0 = 8*b - 4*b + 4*p + 8, u = -3*b - p - 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.312 - 16.212. Let w = l - -16. Let z = 1\/12 - -67\/60. What is the smallest value in z, w, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1506 + 200412?\nAnswer: 202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 111*u - 410*u + 2990 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -19. Let j(h) = h**3 + 5*h**2 + 13*h + 3. Let i be j(-5). Let g = 91 + i. What is the remainder when g is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1315462899.\nAnswer: 3, 438487633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 107 divide 17138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 11\/44 + (-2)\/8. Suppose b = -2*x - i - i + 4, -x + 5*i = 10. Let p(y) = 3*y - 1 + 4 + x + y**2. Determine p(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 - 8. Let v be (-2)\/1 - (-6)\/u. Suppose 0 = -v*h + h - 26. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 + -15. Sort 5, n, 98 in decreasing order.\nAnswer: 98, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1169.65 less than 6347549690?\nAnswer: 6347548520.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7688.8 + 7689. Which is the closest to -121?  (a) h  (b) -2\/35  (c) -1  (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + -2.2. Let y = t - -4. Let h = 1.789 - 4.789. Which is the second smallest value?  (a) y  (b) h  (c) -5  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-5)\/f)\/f**3)\/(f**(-3)*f*f**(-1)\/f*f) assuming f is positive.\nAnswer: f**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72636 is divided by 784.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1540 - 1539.42. Let t = 292400.419994 - 292401. Let r = h + t. What is r rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2084967, -2084942, -2084901, -2084844, -2084771, -2084682?\n\"Answer: 8*j**2 + j - 2084976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 5*r = -102. Let y = 36 + r. Let p(c) = 74*c**2 - 2*c + 7. Is p(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -298 - -301. Let c(s) = -5*s + 2*s + 4*s + 4*s. Does 6 divide c(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19 + 19 - 2531*x + 430*x to the form r + j*x and give j.\nAnswer: -2101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 + 6*z + 6. Let i be v(5). Let k(q) = i*q**2 - 10*q**2 - 2*q**2. Let l(x) be the second derivative of 2*x**3\/3 - x. Give k(l(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 0*m + 10200 = -4*m, 0 = 4*x + 4*m - 20388. What is the thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 3, a: 5, h: 2}. What is prob of picking 1 x and 3 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(50)\/(sqrt(50)\/(sqrt(5) + sqrt(15)\/sqrt(3) - sqrt(5))) - (sqrt(480)\/sqrt(6) + 5)) + -3.\nAnswer: -3*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -5*u**4 - 37930*u**3 - 71934240*u**2 + 37930*u + 71934245 = 0?\nAnswer: -3793, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(5\/4))\/o*o*o\/(o*o**(3\/2))*(o*o\/(o*o*(o*(o**1*o)\/o)\/o*o)*o)\/(o\/((o*o*o**(-1\/10)*o)\/o))*((o\/o**1)\/(o\/o**(-4)))**(-44) assuming o is positive.\nAnswer: o**(4363\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, h: 3}. What is prob of picking 3 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*16\/(-840)*5\/(-100)*6?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -236806 - -1939914703\/8192. Find the common denominator of -121\/24 and v.\nAnswer: 24576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:20 PM and 3:47 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143)\/(sqrt(132)\/sqrt(300)) - sqrt(1053)*-4*-6) + -2.\nAnswer: -211*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 830376 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 14, -5.9, -1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110*y - 89*y = -256*y + 5529 for y.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, q: 8}. Give prob of picking 1 q and 1 t.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 0*n = -n - 157, -3*n = 2*i - 169. Suppose 4*x - i = -x. What is the smallest common multiple of 6 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 10:52 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28356 by -204.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8113 divided by -61.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 10:37 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -a2 (base 11) to base 8\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -304 divided by -849786\nAnswer: 152\/424893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -2449323*p**2. Let r(g) = -2*g**2. Give v(r(z)).\nAnswer: -9797292*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 12 = 5*y, 3*y + 2 = -4*c - 1. Suppose 7*a - 5 = 2*a - 2*l, -14 = -y*a + l. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1769, -1894, -2019?\nAnswer: -2144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 5*m = 2*i - 25, 4*m + 2 = -2*i. Let w = 139.7 + -140. What is the smallest value in -0.7, 3, i, w?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 273?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k + 57. Is 5 a factor of s(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(19) + 2)*1)**2 - sqrt(19)) + (2 + -3*sqrt(19) + sqrt(19) - sqrt(19)) + (-3*sqrt(475)*-2 + (sqrt(475) + 0 + 5 - sqrt(475)))**2.\nAnswer: 300*sqrt(19) + 17150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -25.5865 + 25.6. Round b to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -12*l**3 + l - 2. Calculate x(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 7:55 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*m**2 + 2*m + 11*m - 1396*m**2 + m**3.\nAnswer: m**3 - 1419*m**2 + 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1586175821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 2324*r + 61. Give z(1).\nAnswer: 2385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 25.11 in -5, -2.656, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*w**2 - 5*w**2 + 14*w**2)*(870*w - 101*w**2 - 870*w).\nAnswer: -1515*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -219.32  (b) 3  (c) 1  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2073 + -2069. Which is the nearest to -1\/4?  (a) g  (b) -0.4  (c) 1\/10  (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -34?  (a) 4  (b) -20  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 + 24 + -45 + 1 - -6 - (-5 + -1).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 5*n**2 + 2*n + 4. Suppose -4*l - 2*j + 10 = 0, 6*l - l + 4*j = 14. Let a be q(l). Solve d = -5*k + 24, a = -0*d - 3*d + 5*k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29*v**2 - 40*v**2 + 1 + 23*v**2)*(5 + 4 - 1).\nAnswer: -368*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -786\nAnswer: 2\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 10*n - 15. Let t be r(2). Determine a, given that 0*a**3 - 2\/7*a - 4\/7*a**2 + 0 + 2\/7*a**t + 4\/7*a**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + -46 + 7 + (29 - 31)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 5*c = -0*c, 0 = -5*h + c. Suppose 3*m - 5*m = 3*n - 4622, 4*m - 2*n - 9260 = h. Suppose -5*f - 4*r + m + 3453 = 0, 2*f - 2308 = -2*r. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 13 = 27. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1010 + 0?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.5 - 0.3. Let h(r) = -r**2 + 6*r - 5. Let v be h(4). Suppose t - v = -0. Put n, -2\/5, t in descending order.\nAnswer: t, n, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 266 and 418.\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3028203, -6056416, -9084635, -12112860, -15141091?\n\"Answer: -3*j**2 - 3028204*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1406656 + -190953. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/6 in -23, 29, 1\/5, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26*r**3 - 43*r**3 + 3*r**3)*(2 - 5 + 7) - 3*r**3 - 6*r**3 + 2*r**3.\nAnswer: -271*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25 - 18. Let j = a + -8. Put j, -4, 1\/8 in ascending order.\nAnswer: -4, j, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - 0. Suppose -3*o = -5*k - 42, 3*o + 4*k = 7*k + 42. Suppose -v + 5 - o = l. Is -10 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 6*m - 56 = 0. Let p(r) = 62*r + 4536. Let x be p(-70). Calculate the greatest common divisor of x and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -5*j + 9, 4*j - 25 = x. Let v = -1 - x. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -8 + (-42)\/(-7) - 16\/(-6). What is the nearest to l in -3, 1\/5, -0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -4*l + 2*i, 5*l - 3*i - 17 - 3 = 0. Let z = 0 - -13. Solve 4*w - l = -z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5827\/20 - -585\/2. Calculate the common denominator of q and (-3 - -1)\/(-6) + (-602)\/24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.6*164707.\nAnswer: 98824.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q*q*q\/q**(7\/4)*q*q**8)**(-2\/9)\/((q*((q*q\/(q**(-2\/9)*q))\/q)\/q)\/(q\/q**(-3\/2))*(q**1\/q)**(-2\/3)) assuming q is positive.\nAnswer: q**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -681 + 1115. Suppose -9*d - t + 2288 = 0. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 466258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*u + 1787 = 193*u + 117 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 + 4*y**2 + y - 1. Let r(j) be the third derivative of 0 + 14*j**2 + 0*j - 1\/6*j**4 - 1\/2*j**3 - 1\/30*j**5. Let d be r(-2). Calculate q(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -189334*m*o**2 + m*o - 5*m - 27*o + 5286404 wrt o?\nAnswer: -378668*m*o + m - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 84.30794 litres in millilitres?\nAnswer: 84307.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*l - 0*l + r, -3*r + 7 = 5*l. Suppose -4*k + 2*k - 4 = 0. Let p = l - k. Is p < -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75474?\nAnswer: 2, 3, 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 0.4, 0.5, -4 in ascending order.\nAnswer: -4, 0.1, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/6831 and -103\/6072?\nAnswer: 54648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -13927  (b) -938  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 29 = 4*p + 141, -3*p = 4*l - 102. Suppose -19*o**2 - l*o + 18 + 40*o**2 + 3 - 18*o**2 = 0. What is o?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*z**2 - 80 - 150 - 145 + 375.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -182*w**3 - 203*w**3 + 352*w**3.\nAnswer: -33*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 98392, -3, 3 in increasing order.\nAnswer: -10, -3, 3, 98392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 739 is divided by 190?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1 - 0.3. Let p be ((-162)\/(-24) - 7)\/((-2)\/(-4)). Which is the closest to 2\/11?  (a) p  (b) 0.1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3730 (base 10) to base 3\nAnswer: 12010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes after 3:02 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10338, 20695, 31054, 41415, 51778, 62143?\nAnswer: 72510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -765938*v + 765976*v - 1786 = 0 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 488717?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48006 is divided by 11265.\nAnswer: 2946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 3*r**3 + 2*r**2 + 7*r - 3. Let s(u) = 4*u**3 + u**2 + 9*u - 4. Let z(m) = -6*i(m) + 5*s(m). Give z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 6 = -2*s - r, -4*s - 3*r - 12 = 0. Let n = -238.3 - -238. What is the smallest value in s, n, -1\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + g - 20. Suppose -g + 7 = 2*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23214184 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddoo when four letters picked without replacement from {d: 2, o: 8, s: 2, y: 2}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -23*q + 4. Let k(s) = -2*s**3 - 96*s**2 - 504*s - 57. Let x be k(-42). Let y(m) = -323*m + 57. Give x*n(j) + 4*y(j).\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 38022915\/8 - 5418261263\/1140. Let z = -2\/285 - f. Find the common denominator of z and -74\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 12 = 3. Does 4 divide b + -1 - (-6 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4668, 4765, 4896, 5079, 5332, 5673?\nAnswer: 6120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -674 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 439 + -196. Suppose -f = -3*w - 0*w. Let p = w - 58. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1216, -4888, -11018, -19600, -30628?\nAnswer: -44096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2455284 + 4971917. Suppose -8*i + m = 8108633. Round i to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {a: 1, h: 1, e: 2, x: 1, d: 2, s: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 169 + 232. Let o = -81 + r. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -5307, -4.77, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes after 11:35 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((sqrt(19) + 1)*-5 + sqrt(114)\/(-1*sqrt(6) + sqrt(6) + sqrt(6)) + 3 + -1*-1*sqrt(76)*5) + 1)**2.\nAnswer: -936*sqrt(19) + 24793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 326812 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1889\/5 + 379. Let h = -52.9146 - 0.0854. Which is the second biggest value?  (a) -0.2  (b) s  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 11, f: 3}. What is prob of picking 2 j?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 + 26*u**2 + 22*u - 71. Let s be p(-25). Find the second derivative of 3*k**4 + 1 - 2*k**4 + 10*k + 2*k**s - k**2 + 2 - 1 wrt k.\nAnswer: 36*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 - 7*l**2 - 3*l - 23. Calculate p(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 835, -10, -89 in increasing order.\nAnswer: -89, -10, 835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 150673, 301358, 452043, 602728, 753413, 904098?\n\"Answer: 150685*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1062 + -413. Let x = -1475.4001 - p. Let r = 0.4 + x. Round r to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yuylumlpyuyyyy. Give prob of picking 1 m and 1 u.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 36, 6, 473, -0.18?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h - 24. Let r be j(19). Let z = 1.1 - 0.1. Let l = -385 - -1154\/3. Which is the biggest value?  (a) z  (b) l  (c) r  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 36.20000024 + -36.2. Round b to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3374720, -3374720, -3374718, -3374714?\n\"Answer: v**2 - 3*v - 3374718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 12*o**2 - 18*o**2 + 4*o**2. Let g(b) = -b**2 + 118. Determine j(g(u)).\nAnswer: -2*u**4 + 472*u**2 - 27848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -6. Let p be d\/(-3)*21\/70. Let l = -4 + 4.1. Which is the nearest to -2?  (a) -1\/34  (b) p  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16960 and 14619785?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1131\/7 - -162. Let p = -1.9 - -0.2. Let d = -2 - p. What is the nearest to -1 in g, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, -0.3, 0.027, -4, 0.15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 531328.4 days to seconds.\nAnswer: 45906773760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(-14)*-7 - (-5)\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 times 452.57?\nAnswer: 114500.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17 + 15. Let y(o) = -2*o + 1. What is y(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mupmooksmummuuum. What is prob of sequence umku?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 9:00 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9 - -11. Suppose x*r + 0*r = 0. Suppose -3*t - 3*o + 15 = 0, 2*o + 0 - 10 = 5*t. Which is the nearest to r?  (a) 5  (b) t  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**2 - 4*p - 5. Let x be q(-4). Let w(g) = g**3 + 15*g**2 - 17*g - 11. Let j be w(-16). Sort 3, x, j.\nAnswer: x, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/24 and 59\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 459364446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(-15))\/1*15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16820489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 488660 is divided by 9581?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(-7)*g*g**(-6))**(1\/18))**(7\/13))**(-23\/4) assuming g is positive.\nAnswer: g**(161\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 5*c**3 + 12*c**2 - 2*c + 21. Let h(b) be the first derivative of 3*b**4\/4 + 2*b**3 - b**2\/2 + 11*b + 1. Let u(l) = 7*h(l) - 4*n(l). Give u(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -539*x + 45 = -530*x. Suppose -2*c + 4*a + 16 = 0, -4*c + x*a + 50 - 3 = 0. Solve -4*i - 2 = -c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -91 - -98. Let t(o) = -o + 9. What is t(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*n - 2*n, -15 = 3*b - 3*n. Let k(x) = -x**2 - 5*x - 4. Let y be k(b). Suppose 2*i + y*i = 20. Let v(l) = l**3 - 4*l**2 - 4*l - 1. What is v(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13144294043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.08736177 rounded to two decimal places?\nAnswer: 3.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the third derivative of i**6\/120 + i**5\/60 + i**3\/6 + 3*i**2. Does 17 divide c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3628279 a multiple of 2026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12767 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add 6 and -572534.192.\nAnswer: -572528.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 17535 divided by 4?\nAnswer: 17535\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 8 - 1 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-126)\/210)\/(((-2)\/(-110))\/1). Let k(l) = l**3 + 34*l**2 + 34*l + 32. Let s be k(b). Which is bigger: s or -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 184 and 518972.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from ppppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*h**2*u**3 + 3*h**2*u + 53123*h*u**3*w + 16*h*u**2*w - 4682*u**2*w wrt u?\nAnswer: 12*h**2 + 318738*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 3*g**3 + 5*g**2 + 3*g + 1. Let r(a) = 4*a**3 + 6*a**2 + 4*a + 2. Let m(w) = -3*q(w) + 2*r(w). Let z = 8 + -14. Is m(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 294418 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 143 + -59. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 4 = 4*m + 5, -2*m = -3*k + 7. Suppose -5 = m*c - 9. Let i(n) = -9*n + 1. Calculate i(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-93)\/(-4)*(-4)\/3*-22*(-23)\/506.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/((-11)\/(-7) + -2). Suppose a = 4*r + 1 + q, a + r = 8. Suppose -c = 2*m - a, 0 = 2*m - 2*c + c - 4. Solve -w = -0 - m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 51 - 20 + u in the form x*u + i and give i.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 43099.35 centimeters in nanometers?\nAnswer: 430993500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*u**4 + 416*u**3 - 28*u**2 + 74565*u?\nAnswer: 24*u**2 + 2496*u - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and -0.04711.\nAnswer: -0.14133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 316339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 675 is divided by 126.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/4*2)\/(279\/558).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 20 = -3*c, z + 2 = -0*z. Suppose -3*x**3 - 2*x**2 - 791*x**c + 4*x**2 + 786*x**4 = 0. Calculate x.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5104 - 5103.86. Which is the nearest to -1?  (a) -0.3  (b) -2\/13  (c) f  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*z**3 + 18001*z**2 + 18001*z**2 - 54000*z**2 + 17998*z**2.\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -139 in -1, 0.212, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of r**3\/3 - 6*r**2 + 4*r - 4. Let f be i(12). Suppose -5*k = 5*d + 11 - 1, -8 = -4*d + 4*k. Solve -2*n = -d*n - f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19\/1479 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + 85. Let l = y - 55. Let d = -32.052 + l. What is d rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*l - 3*l - l)*(-4*l**2 - 7 + 7) + (-3*l**2 + 2*l**2 - 9*l**2)*(-5 + l + 5).\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 25.068 - 0.068. Let b = -24 + k. What is the nearest to 1 in b, -5, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -4*t**3 - 92*t**2 - 360*t = 0.\nAnswer: -18, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 24 times -2.5\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 3*f - 25 = 0, -i - 5*f = 2*i + 10. Calculate the smallest common multiple of 49\/(-14)*(666\/21)\/(-3) and i.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -9*r + 1980*o - 1977*o, 5*r - 5*o = -63 + 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -11*168\/(-132) - 23. Let o(s) = -s**3 - 9*s**2 + 6*s + 15. Determine o(c).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 - -12. Suppose f - 5*c - 23 = 0, f + r*c - 20 = -3*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (48 - 32) + 0 + -18 + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(600)\/sqrt(2))\/(sqrt(12)\/sqrt(3)*2 - sqrt(4)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add -62 and -0.6.\nAnswer: -62.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9.04 - -0.04. Let m = -215789 + 215780.00055. Let n = r - m. Round n to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 38082 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*x + 23 = 3*c - 4*c, x - 1 = 430*c - 427*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 2*b + 2)*(2*b - 2*b + 3*b).\nAnswer: 6*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11565 and 160990?\nAnswer: 372369870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 - 7 = -21*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 25*l + 86. Let m be t(-2). Calculate the greatest common factor of m and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 217.95489 seconds?\nAnswer: 3.6325815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22382 by -31.\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -311\/3 - -349\/6. Calculate the common denominator of g and 87\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 6*m - 2. Let l be z(-2). Let d(v) = -v**3 - 5*v**2 + 6*v. Let t be d(-6). Let x = t - l. Calculate the highest common divisor of x and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-348127)\/(-91988) + (-1)\/29?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 133533842?\nAnswer: 2, 13, 5135917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -12aacca7 - -4?\nAnswer: -12aacca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2900 + 29777*v + 10107*v - 2900.\nAnswer: 39884*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(8064) + (sqrt(8064) - sqrt(8064)*-1))*-5)\/(-1*sqrt(968)*-2))**2.\nAnswer: 56700\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 5, -2*i + 4*i + 5*q - 31 = 0. Let z be (0 + i)\/(3\/2). Suppose o = 5*o. Solve -3*f = -2*t - 17, o = 4*t - z*t + 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -6, -1, -8, -2 in descending order.\nAnswer: 2, -1, -2, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 247978 greater than 247977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 26630 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 4, -4*i - 649 = 3*s - 3551. Let a be (-38)\/(-133) - (i\/(-14) + -2). List the prime factors of 62\/9 + 6\/a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-2\/3)*g\/(((g*(g\/((g**(-1\/3)\/g)\/g))\/g)\/g)\/g)*(g**(-2)*g*g)\/g**(-1) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 24 + -8. Let p be -3 + -1 - (0 - 23 - 3). Suppose -3*x = -z + 3*z - p, -z = 4. What is the remainder when i is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*h = 63240 - 62849 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -2*o + 1. Let a be g(-1). Is (-1)\/(2*a\/(-402)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/(-1*-2*sqrt(10))*2)\/(((-2*sqrt(216))\/sqrt(8) - sqrt(27))\/sqrt(576)).\nAnswer: -8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fppfp. Give prob of sequence ppp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 8*d + 36. Let z(x) = x - 1. Let s(a) = v(a) - 3*z(a). Let q(m) = 2*m**2 + 3. Let p be q(3). Does 24 divide s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4 - 2\/4*0. Let c = -5\/34 + -101\/238. What is the closest to -6 in c, k, 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79345899133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/105139 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 2*t - 9. Let f be c(8). Let r = -4 + f. Suppose -276 = -r*l + y, -l + 27 = -5*y - 79. Calculate the highest common divisor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -101583080*i**4 - 9*i**2 - 8933237 wrt i.\nAnswer: -2437993920*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (3 - (16 + -19 - -99)) + -8 + 12 + 1\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-8\/7)\/(t\/(t**(4\/5)\/t)))**(-12) assuming t is positive.\nAnswer: t**(984\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 8e (base 15) in base 4?\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -96, -108, -134, -180, -252, -356, -498, -684?\nAnswer: -920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 4197207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of 18*l**5\/5 - 21*l**4 + 26*l**3\/3 + 84*l**2 + 72*l + 6. Factor p(b).\nAnswer: 2*(b - 3)**2*(3*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3180 and 1846414.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1\/7)*g)\/g**(-3\/2))\/((g**22*g)\/g**(-25\/6)) assuming g is positive.\nAnswer: g**(-521\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -5*2\/(-20)*0. Suppose -25*o + 9*o + 48 = r. Let b be (2*1)\/((-8)\/20). Put b, o, 1, -4 in descending order.\nAnswer: o, 1, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + -17 - -1 - (-1 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -60 - -24dc25?\nAnswer: 24dba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 245*a - 2587. Give w(11).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -482 - -483. Let s(i) = 8*i**3 + 2*i**2 + 2. Let b(c) = -c**3 + c**2 + 1. Determine f*s(k) - 2*b(k).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.50885 to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17863109 and 484?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 420 + -268. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -10*c + 8. Let p be k(-8). Suppose 6*y = 4*y - p. Let w = -37 - y. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/483625 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 4638*j + 3421*j + 1603*j - 1464*j - 1224*j in the form w*j + a and give w.\nAnswer: 6974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-334)\/(-6) - 8\/12. Let b(f) = -2*f - 9*f**2 - 8*f**2 - 4*f**2 + 33*f**2 - 5*f**2. Let u(n) = 190*n**2 - 55*n. Give x*b(r) - 2*u(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 210 + -1002101?\nAnswer: -1001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 39\/(-39)*(-10)\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 165*h - 155. Let b(k) = -58*k + 51. Let j(p) = 17*b(p) + 6*m(p). Let a(y) = 22*y**2. Give j(a(v)).\nAnswer: 88*v**2 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2775784.\nAnswer: 2, 11, 31543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*w**2 + 4*w**2 - 4*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, -8, -63, -2 in decreasing order.\nAnswer: -2, -8, -34, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23 - -25. Suppose -y + o*a + 2*a - 9 = 0, a - 18 = -5*y. Find the third derivative of -6*z**y + 5*z**2 + 0*z**2 - z**2 wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/5, -3\/2, -37, -0.4?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 480695 and 972745?\nAnswer: 3785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:13 AM and 7:31 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 3*c = -5, 3*j + 27*c - 24*c + 15 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*h + 30 = -11*h. Solve -4 = d, -5*s - 7 - h = 3*d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13 + -11. Let q be (4 + 0)\/(k\/2). Suppose q*l - 7*l = -36. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37441272 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 4*r**2 - 9*r - 13*r**2 + 1 - 6. Let o(w) = -w**2 - 969*w - 6729. Let z be o(-7). Let q(s) = 5*s**2 + 5*s + 3. Calculate z*q(f) + 3*x(f).\nAnswer: -2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of a**2*b*p**2 + 11*a**2*b*p + 2*a**2*p - 5*a**2 + 2*a*b*p**2 + 4*a*b*p - 3*b*p**2 - 2*b + 8*p**2 wrt p.\nAnswer: 2*a**2*b + 4*a*b - 6*b + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1b75 - 3?\nAnswer: 1b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 33*f - 20 = -31*f, 4*f + 20 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*f**2 + 12*f - 107 + 42 + 69 as d*f + s + h*f**2 and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5740 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + -2 + (-8 - 2) - (1 - -3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from {d: 1, o: 5, s: 2, l: 1, f: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2736) + -4 + sqrt(2736) + (sqrt(2736) - (sqrt(2736) + 3)) + sqrt(2736).\nAnswer: -7 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3)*-2 + sqrt(3) + 3)*2.\nAnswer: -2*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/13 + 2\/13*i**2 + 0*i = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 38 + -36. Factor 0 + 2\/7*w**3 + 0*w - 2\/7*w**s.\nAnswer: 2*w**2*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + 884\/85 + 2\/(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o**5\/5 - 444*o**4 + 24054*o**3\/5 + 444*o**2 - 24057*o\/5 = 0. Calculate o.\nAnswer: -1, 0, 1, 11, 729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -70 - -60 - (16 - 9).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 287 - 287.1. Which is the second biggest value?  (a) l  (b) -5  (c) -1\/6  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - l - 10, 4*f + 0*l + 2*l = -6. Solve p = 3 - f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -55, -3, 6, 2.\nAnswer: -55, -3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of -3*f**5\/5 + 9*f**4\/4 + 82*f**2 + 5*f + 38. What is the derivative of h(r) wrt r?\nAnswer: -36*r**2 + 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -155 (base 7) in base 9?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4348*j**2 - 8416*j - 297847096 with respect to j.\nAnswer: -8696*j - 8416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 - -6. Let v(s) = s**2 - 10*s + 11. Let j(d) = -d - 1. Let c(b) = -2*j(b) - v(b). Let a be c(o). Solve -k + 4 = -t, -5*t - 4*k + 9 = -a*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005921 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*k - h, 3*h + 1 = 2*k + 4. Suppose 5*z + 8*j + 45 = 13*j, 0 = z - 4*j + 6. What is the remainder when 50 is divided by ((-6)\/z)\/(k\/90)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aj when two letters picked without replacement from ggookekkgkagggeejg?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/18 - 32\/2088*29. Factor -5\/7*l**2 + i*l + 1\/7*l**4 + 0 - 4\/7*l**3.\nAnswer: l**2*(l - 5)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 4*j + 106 = 0, 544 = -4*c - 4*j - 539 + 1179 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*7\/14*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 3*z + 20. Let r be a(-6). Suppose -r*j - j - 6 = 3*m, 2*j + 3*m = -2. Let t = j + 8. Solve 5*v + 3 = g - 5*g, -t*v - 18 = -2*g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 7  (b) -5  (c) 1\/22  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0901 * -93259.\nAnswer: -8402.6359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24 + -14. Find the third derivative of 5*r - 5*r + a*r**2 + 7*r**3 - r**3 wrt r.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/8)\/((-3)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -972 - 297 = 556*i - 133*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 + 42. What is the remainder when v is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1191914?\nAnswer: 2, 595957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -55*l**2 + 2. Let i(j) = 2584*j**2 - 95. Calculate -6*i(z) - 285*v(z).\nAnswer: 171*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 3*s - 32 + 23, -2*s + w + 5 = 0. Sort 2, s, -6, -17, -2 in ascending order.\nAnswer: -17, -6, -2, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34713, -69396, -104091, -138804, -173541, -208308, -243111, -277956?\nAnswer: -312849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 3:54 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 114 + 184 = 0. Let r = -68 + z. Let k(v) = -12 - 8*v - v**r - 31 + 53. Determine k(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 9:06 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 13*b - 205. Let l(w) = 13*w - 222. Give 12*l(j) - 13*s(j).\nAnswer: -13*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 PM and 4:44 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzzazza. Give prob of sequence zza.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33539450 + 57112137. Suppose 6*r = -7567313 - d. What is r rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3\/23, 35, 20.1, -112, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 + 2. Let c be (5\/(-10))\/((-15)\/t). What is the third smallest value in -4, 3\/2, c?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 5*t + 24 = 0. Suppose 36902 - 9758 = 348*o. What is the greatest common factor of o and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-2))**(13\/8)*x**(-7)\/(x*x\/x**(1\/4)) assuming x is positive.\nAnswer: x**(-83\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 198698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k**2 + 348*k + 5168 = 0.\nAnswer: -68, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b (base 13) to base 10\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-7)*h)\/(h\/(h\/(h**(1\/6)\/h)*h))*(h*h*h**(-17))**(-21) assuming h is positive.\nAnswer: h**(1865\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -346453*u - 568117.\nAnswer: -346453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32 + 71 - 10 - 19 + 15015*s.\nAnswer: 15015*s + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 20182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -9*l**2 - 28. Let p(x) = 39*x**2 + 120. Let z(n) = 7*p(n) + 30*y(n). Let t(u) = 3*u**2 + 4 + 13 + 3. Give z(t(j)).\nAnswer: 27*j**4 + 360*j**2 + 1200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26, 51, 122, 263, 498, 851, 1346, 2007?\nAnswer: 2858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 4*b = 50. Let k be 3\/(0 + -3) + -9. Let r = b + k. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 925*v - 165*v = 6840 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9186 is divided by 1767?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -2*r**4\/9 + 52*r**3\/3 - 886*r**2\/9 + 532*r\/3 - 96 = 0?\nAnswer: 1, 2, 3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -43 and 11?\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:45 PM and 5:18 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -5*c - 15. Let k(d) = -10*d + 10. Does 34 divide k(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of -3*y + 0*y**4 - 3\/10*y**6 + 5\/3*y**3 + 0*y**2 + 0 + 0*y**5. What is the second derivative of i(o) wrt o?\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -326*d**2. Let w(i) = -3*i + 54. Determine w(t(j)).\nAnswer: 978*j**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/6  (b) -5  (c) -617\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1054128 a multiple of 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 44176804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the first derivative of 0*s**6 + 0*s**5 + 3 - s**3 + 1\/7*s**7 + 0*s**2 + 0*s + 0*s**4. What is the third derivative of t(p) wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 71774.055 to the nearest ten.\nAnswer: 71770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1200, -3302, -6448, -10644, -15896, -22210?\nAnswer: -29592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5266648 and 6583310.\nAnswer: 26333240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.5124418 to 3 dps.\nAnswer: -0.512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 17639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - 4. Let r(p) = 3*p**2 - 4*p - 9. Let n be r(-9). Let g be (u\/(-5))\/(6\/n). What is the highest common divisor of 12 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 + 19*r**2 + 18*r + 3. Let f be 0 + 1 - (-1 - 19\/57*-60). What is q(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {q: 6, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -14515, -29035, -43559, -58087, -72619?\n\"Answer: -2*s**2 - 14514*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 6) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 139605 is divided by 54.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 23*i**2 + 31*i**2 - 62*i**2 + 5*i**3 wrt i.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 411, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11476 or -174.8?\nAnswer: -174.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(162) + -2*sqrt(2)*2 - (-1*sqrt(600))\/sqrt(3).\nAnswer: -1 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 280 = r. Suppose -5*a + 20 = -r. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1231.4397279 and 115.\nAnswer: 1346.4397279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 572*w = 568*w - 4. Let f be 1 + (3\/2 - 8386\/3388). Do w and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 196 and 12879?\nAnswer: 2524284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 3 + 4 - 6 + 22*j - 23*j. Let f be c(0). Let y(z) = 9*z**3 + 2*z**2 - 2*z. Let g be y(f). Solve 0 = 3*m - n - 0*n - g, n = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -112423, -449700, -1011827, -1798804?\nAnswer: -2810631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.88 + 0.054.\nAnswer: 2.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3870 + 11960 = -757*g - 16891 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3102323030 (base 4) in base 6?\nAnswer: 30303432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 2423*u + 637126. Calculate k(-263).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-3*sqrt(245)*3 - ((3*sqrt(245))**2 + 1 - sqrt(245))).\nAnswer: 336*sqrt(5) + 13236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/19  (b) 0.4  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are -6\/162823 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cbbbbbzjbcjjhb. Give prob of picking 1 h and 1 b.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 31522650 (base 7) to base 12\nAnswer: a91a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 44*l = 42*l + 11, -7*q - 15*l + 2 = -11*q - 13*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z = 2 + 6. What is the units digit of 24\/(-12) - (-657 + z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2\/21))**(2\/9)*c**(-39)*c**42 assuming c is positive.\nAnswer: c**(563\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 7907044 to the power of 1\/2, to the nearest integer?\nAnswer: 2812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -202*s - s**2 + 202*s - 1. Determine b(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -5, 423, 4 in decreasing order.\nAnswer: 423, 7, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*y - 4041 + 22320 = 0. Let i = y + -672. Solve 7 - i = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 229987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1075 and -5710.\nAnswer: 613.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {u: 3, k: 1, i: 6, e: 3, g: 4, f: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 19*v**2 + 70*v. Let x(n) = 22*n**2 + 69*n. Let m(s) = -7*p(s) + 6*x(s). Factor m(b).\nAnswer: -b*(b + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11335*g - 8335*g + 10013*g + 6179*g + 10737*g)*(g - 3*g + 3*g) to p*g + k + v*g**2 and give v.\nAnswer: 29929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.13 + 0.77. Let y = 43 + 29. Let d = -72 + y. Which is the smallest value?  (a) d  (b) w  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = 8*f - 26*f. Which is the closest to -1\/6?  (a) -0.1  (b) f  (c) 0.2  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (55 + 2 + -3)\/2. Let s = -35 + t. Let o be -1 - (-5 - -4) - (-3)\/s. Which is the closest to -1\/7?  (a) o  (b) -5  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4\/5  (b) -2  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of 20*q**2 + 1\/8*q**4 - 1\/3*q**3 + 0*q + 1\/360*q**6 + 1\/24*q**5 + 0. Let i(v) be the first derivative of m(v). Calculate i(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -3, -2\/35, 11.73, 23, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 3 l when four letters picked without replacement from qllllqqcqlg.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16 - 31) + 19 - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -6 + (1 - (10 - 3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-117*f**2 + 117*f**2 - 19*f**3)*(3 - 2 + 1) + (2*f**3 - f**3 - 2*f**3)*(-4 + 3 + 3) to the form b*f**3 + j*f + q*f**2 + n and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-6)*q*q*q**(-1)*(q**(1\/4)*q)**(-6\/37))**(30\/7) assuming q is positive.\nAnswer: q**(-825\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -96 - -91. Let x = -3874\/5 + 23549\/30. Find the common denominator of ((-62)\/h)\/(192\/120) and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 r, and 2 g when four letters picked without replacement from {r: 4, e: 2, g: 1, c: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ikfiiiioioeofiihk. What is prob of picking 1 i and 1 k?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 63560 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = -2*x + 10, 2*x + 54*u = 50*u - 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(2\/5)*v*v*v*v\/(v\/(v\/v**(-5\/3))))**12*((v*v**(-4\/5)\/v*v)\/v**(-3\/5))**(-18\/7) assuming v is positive.\nAnswer: v**(2896\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.25 + 38.\nAnswer: 36.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -69132696*m*x + 713492*x + 3 with respect to m.\nAnswer: -69132696*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -105, 4, 1 in descending order.\nAnswer: 4, 1, -4, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (6\/((-60)\/(-5)))\/(5\/(-480)*3)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -27335*d**3*n**3 + 44*d**3*n + 8*d**2*n - 20*d*n**4 - 5*d*n + n wrt n?\nAnswer: -164010*d**3*n - 240*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3071 and 666.\nAnswer: -2405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10465.014 months to years.\nAnswer: 872.0845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3351564037.7 and -31?\nAnswer: 3351564006.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 801934281 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: Let m = -3 - -9. Suppose -2*c - 4*n = n - 5, -9 = -c + 4*n. Solve 3*y - 9 = -3*t, 2*y = -c*t - 0 + m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54127?\nAnswer: 113, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 62\/12 + (-1)\/6. Suppose -2*j + u*r - 58 = -4*j, -164 = -4*j + 2*r. Calculate the remainder when j is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 12*f**3 + 1. Let u be q(-1). Let i = 78 + u. What is the remainder when i is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 827, 1398, 1969, 2540, 3111, 3682?\n\"Answer: 571*r + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - 0. Suppose 0 = l*d + d - 8. Let m(h) = -3 + 1 - 2*h + h. What is m(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 368, -2, -1, -264 in decreasing order.\nAnswer: 368, -1, -2, -7, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z\/(z*z*z**18))\/z)\/z)\/z**(6\/11)*(z**(-37)*z)\/z*z**22\/z)**(-28) assuming z is positive.\nAnswer: z**(11564\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -2*n + 2*z, 5*n - z = -13 + 33. Suppose -r + 3*o + 0*o = 45809, -4*o + 137412 = -n*r. Round r to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/14 - (-310)\/7. Let f = x - 175\/4. Factor 0*y + f*y**2 + 1\/4*y**3 + 0.\nAnswer: y**2*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1512)\/(-147) - (-2*3 + 306\/(39 - 21))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - ((-2 - -7) + 8 + -3)) + 21?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 + 8*l - 2. Let w(u) = 4*u**2 - 25*u + 7. What is 21*m(t) + 6*w(t)?\nAnswer: 3*t**2 + 18*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 32680 = 5*p, 3*z - z - 4*p = 13096. Round z to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 65 or 129\/2?\nAnswer: 129\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -21*p**3\/2 + 9*p**2 + 255*p\/2 + 18.\nAnswer: -3*(p - 4)*(p + 3)*(7*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f**2 + 10*f - 2. Let t be h(3). Let o be (-490)\/(-42) - (-4)\/(-6). Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 + -3)*1\/(-2). Let r be n + (-4 - -1)\/(-3). Which is the closest to r?  (a) 2  (b) -2  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -2088\/13, -0.4, -64?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 66 and 957?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2232302 (base 4) in base 14?\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 45790 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 11 + -14 + (3 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange z**3 - 3*z**2 - z - 1 + 2*z + 4*z**2 + 0*z to the form f*z + v*z**2 + n + u*z**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 508  (b) -16  (c) 2\/13  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -32*j**2 + 13*j - 22 - 33*j**2 - 30*j**2 + 96*j**2. Let t be w(-11). What is the common denominator of -14\/47 and (-2)\/(-8) - (-25 - t)?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 102602, 102603, 102604, 102605, 102606, 102607?\nAnswer: 102608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 56926 - 8211 = 5*d, -4*d + x + 38981 = 0. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -273b (base 15) to base 8.\nAnswer: -20275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -r + 2973 - 2973.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 8*u**2 + 30*u - 38. Calculate the smallest common multiple of 125 and o(-11).\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -159*t + 37*t + 35*t - 9 + 42*t + 48*t. Let r(c) = 2*c - 9. Give 4*r(p) - 3*x(p).\nAnswer: -p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -9, 1.02, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -275080 to the nearest 1000.\nAnswer: -275000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g + 7. Let n(a) = 5*a**3 - 2*a**2 + 3. Let k be n(1). Let c be ((-6)\/(-8))\/(2\/24). Suppose -c*t = -k*t. Give s(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 12. Let f = -2 + m. What is the greatest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**3 + 17*h**2 - 24*h - 34. Let z be i(15). Solve z*q = 19*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -4*m + 8, 16 = 2*y - 4*m. Suppose -3*a = b - 4*a - 4, -y = 5*b + 4*a. Is -13\/11 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147219 is divided by 422?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 5 = -2*u, -u + 4*z + 3 + 0 = 0. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15597, -62193, -139595, -247593, -385977, -554537, -753063, -981345?\nAnswer: -1239173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/23, -2, 6, 0.01, -40, 4 in descending order.\nAnswer: 6, 4, 2\/23, 0.01, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 - h**2 - h - 1. Let x be d(0). Put 4, x, 2 in descending order.\nAnswer: 4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 175*r - 1130 = 62*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(1\/5))**23\/(i\/i**1*i*i**(-6)*i))**27)**24 assuming i is positive.\nAnswer: i**(27864\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 5 + 7*t**3 - 3*t + 4*t + 2*t**4 + 29*t + 27*t as d*t**4 + j*t + c*t**3 + p + i*t**2 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -2460.\nAnswer: -1\/820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 26  (b) 0.1  (c) -5  (d) -0.05  (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -4. Let h(p) = 14*p + 3. Let t(s) = -23*s - 6. Let w(a) = -5*h(a) - 3*t(a). Let d(k) = -2. Calculate z*w(l) + 3*d(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 5*a - 22 - 7 = 0, -5*a - 21 = -4*k. What is the remainder when 93 is divided by (-2 - k)\/((-1)\/20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2)*(-133 + 133 - 8*b)*(8*b**4 + 0*b**4 + 4*b**4).\nAnswer: -192*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*r - 37*r + 67*r + 3*s + 103 = 0, 0 = 3*r + 5*s - 19 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do 682 and 682 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 60160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1230386335*y**3 + 546156503 wrt y.\nAnswer: -3691159005*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17092714 divided by -2.\nAnswer: -8546357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.22975535 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004507 to four decimal places.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 9, 0*y = -3*u + 3*y. Suppose a + 1 = 14. Calculate the remainder when (-4)\/(-3)*(a + (-5 - 2)) is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 22*r**2 - 6*r + 3. Suppose 17 = 4*d - 31. Suppose 0 = -2*t - 0*t - d. Is g(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25 - 3*k**3 + 6*k**3 - 63 + 6*k**3.\nAnswer: 9*k**3 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the first derivative of -5*x**2 - 39. Let l(n) = 9*n**2. What is o(l(t))?\nAnswer: -90*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 52 = 4*z, g = 2*z + 20566 - 20580 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tac when three letters picked without replacement from {a: 1, t: 1, c: 2, s: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from {a: 1, z: 1, c: 2, g: 2, p: 2, k: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/13836 and 71\/24.\nAnswer: 27672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-12)\/10*(-65)\/39. Suppose 0 = 4*b - 5*u + 29, -2*b + m*u - 4 - 8 = 0. Does 18 divide (3 + b)*(20 - -3) - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8838694?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 5*v**2 + 8*v - 14. Let y be x(4). Solve -h + y = -2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 188 and 470?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 10, -0.1, -2\/11, -14088, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -41.0446 - -0.0446. Let g = 0.107 + 41.293. Let y = g + x. Which is the third biggest value?  (a) -5  (b) 0.5  (c) -3\/8  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -0.67, 0.09898, -1\/2, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 22 - -13) + (10 - 2 - -63).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2878371572.\nAnswer: 2, 3607, 199499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 5*b - 4, j = -4*b + 5*j. Let y be (-39)\/6 - b\/4. Let k(c) = -c**3 - 7*c**2 - 13*c - 2. What is the units digit of k(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 50695?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1948516 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 69 and 93835837?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 + 12*y**2 + y + 15. Let t be z(-11). Let i = t - 85. Let a = -23 + i. Solve -3*r = -5*d + a, 2*d = -d + 4*r + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -6*m**3 + 21*m**2 - 33*m - 1130. Let v be q(-35). Round v to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 742586506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**3 + 8. Let n be ((-1)\/(-4)*0)\/(0 - 1). Let t be k(n). Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes after 1:23 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4148*j**3 + 321 + 362 + 358 - 1041.\nAnswer: -4148*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12 + 20. Let m be 12\/y - (-3)\/(-6). Suppose 3*i - 2*i + m = -4*h, 10 = 4*i + 2*h. What is the least common multiple of 1 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, -162, -567, -1366, -2691, -4674, -7447?\nAnswer: -11142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -146201, -4, 5, 2, 0, -5 in decreasing order.\nAnswer: 5, 2, 0, -4, -5, -146201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67342.\nAnswer: 2, 11, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**2 + h + 86. Determine n(0).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 18\/6 + (7 - 1). Suppose -4*q = -f*q - 20. Let s be (-28)\/(-33) - (-4)\/(-6). Which is the closest to q?  (a) -3  (b) s  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-one quarters of a meter in centimeters?\nAnswer: 1025","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Solve i - 162 = -160 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17649 = -138*s - 129*s + 7983 for s.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a**5\/3 - 14*a**4\/3 - 26*a**3\/3 + 2*a**2 + 12*a = 0. Calculate a.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**2. Let r(p) be the first derivative of 35*p**3\/3 - 49. Calculate r(z(h)).\nAnswer: 35*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2661494.\nAnswer: 2, 11, 120977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3659 + 1845. Let z = f + 1816.041. Round z to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/405840 and -101\/21360?\nAnswer: 405840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -14 or -19.054?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y - 2337 + 20497. Let j = 5431 + y. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5386 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of -43*r**2 + 0*r**4 + 1\/21*r**8 + 23\/60*r**5 + 0*r**6 + 0*r**7 + 0*r**3 - 2*r + 0. Find the third derivative of o(f) wrt f.\nAnswer: 960*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -40 times -580490\nAnswer: 23219600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 i, and 1 v when three letters picked without replacement from {v: 3, h: 1, i: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-324)\/27*2*(-1)\/6. Let t be ((-5)\/3)\/(1\/3). Let d = t - -5. Solve m*g = -4*w + 8, d = w - 6*w + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106*z + 337*u - 334*u + 221 = 0, -5*z - 5*u - 5 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t**3 - 140*t**2 + 140*t**2.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of -d**6\/285 + 2*d**5\/95 - d**4\/38 - 4*d**3\/57 + 4*d**2\/19 + 3*d. Find b such that m(b) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13910 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23 + 52. Let g be (14\/(-6))\/(4\/(-12)). Suppose 60 = 11*w - g*w. Calculate the remainder when x is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = 7*g + 3*z + 6, 0 = -5*z - 15. Solve g*t + 0 + 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*x**2 + 4*x**3 + 14*x**2 + (1 - 2 + 3)*(-3*x**3 + 0*x**3 + 4*x**3) + 3*x + x**3 - x**3 + x**3.\nAnswer: 7*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -45 - -44.854. Let t = 0.046 + p. Which is the third biggest value?  (a) 6  (b) t  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -18, 1\/2, -3, -2\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*h + 0*h + h)*(-5*h**2 + 3*h**2 - h**2)*(0*h - 3*h + 2*h) in the form b*h + l*h**3 + t*h**2 + g*h**4 + y and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - 9 - (-5 + -8 + 4 - 10).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/12*-3 + 2979\/(-1324))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = -5*t - 3*c - 7, -c - 6 = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of 0*q**7 - 1\/12*q**4 + 0*q - 2*q**2 + 0*q**6 + 0 + 0*q**5 + 0*q**3 + 1\/336*q**8. Find the second derivative of v(f) wrt f.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 - (15 - 22 - (3 - (-2 + 6)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 1. Suppose 4 = 4*a - 2*a + 4*z, -5*a = z + 8. Let j(k) = -7*k - 7. Let r(u) = a*j(u) - 14*y(u). Let l(p) = 3*p. Give l(r(o)).\nAnswer: 42*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 a factor of 20966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f + 9. Let j be n(7). Let k(i) = -j + 2 + i. Let g(d) = -3*d + 12*d - 5*d. Determine k(g(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25*((-250884)\/1725)\/101?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2234 and 30.\nAnswer: 33510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 2 = 6. Let m be i\/3 + (-159)\/315. Let l = m - -11\/7. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -4, -6 - 42 = -2*t + 2*q. Let y = t + -10. Suppose 5*z + 0 + y = 0. Sort z, -4, -3.\nAnswer: -4, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0335 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 293 a factor of 5092047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 255 = -3*o, 5*d + 385 = 2*o + 3*o. Suppose -o = -43*u + 38*u. Solve 3*f = -f + u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1656 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -2*y**3 + 32*y**2 - 29*y - 20. Calculate o(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * -0.0797098.\nAnswer: 0.0797098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(((h*h*h\/h**3*h)\/h)\/h))**(11\/6)*h**(1\/4)\/(h\/(((h\/h**4)\/h)\/h)) assuming h is positive.\nAnswer: h**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-48)\/22)\/((-192)\/(-1056))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 1)\/(16 + -3 + -9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:58 AM and 5:20 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lslsstllsisisisl. What is prob of picking 1 l and 2 i?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -8 + 8 + b. Let s(k) be the first derivative of k**3 + 7. Calculate s(h(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y + 7. Let n(x) = -514*x - 154. Let k(h) = 2*n(h) + 44*q(h). Let z(m) = -2*m. Give k(z(i)).\nAnswer: 2232*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-6)*33\/(-8349)*-46)\/(1\/(-15))?\nAnswer: 40\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 5*w + 30, 0*g = 4*w + 4*g + 24. Let c be w\/9 - 8\/(-12). Solve c = -5*h - l + 10, 0 = h - 4*l - l - 28 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nhnemh. What is prob of picking 1 e and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -364388*z + 364384*z - 9 + 33 + 3 + 14. Let p(a) = a. Give j(p(r)).\nAnswer: -4*r + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*a + 825*a + 730*a - 141*a = 29282 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 2*(-4 + sqrt(2299)))**2 + ((sqrt(19) + 4*sqrt(19))**2 + -1 - (-3*(-2 + sqrt(19)) - sqrt(19))).\nAnswer: -568*sqrt(19) + 9833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**3 - 29572*m**2 + 72874620*m - 59861394684.\nAnswer: 4*(m - 2479)*(m - 2457)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v**(-1\/6)*v)\/v)\/v)\/v)\/v*v*v\/v**(-1\/34) assuming v is positive.\nAnswer: v**(-58\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-22)\/(-6) + (-4)\/6. Let p(b) = -2 - 4*b + 2*b - 2*b. Let m(u) be the first derivative of -u**2\/2 - 2. Calculate h*m(t) - p(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17590 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.08113 and 3?\nAnswer: -6.24339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 + 7*z - 56. Let n be y(5). Let d(w) = -3*w - 5. Let j = 5 - 12. Let r be d(j). Solve n*a + 0 = r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -51 - -233. Suppose -m + 174 = 2*n, -2*n + 6*n - r = -m. Does 46 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -84400, -169093, -253786, -338479, -423172?\nAnswer: -507865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1234 (base 6) in base 15?\nAnswer: -15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4693869 is divided by 173846?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 4 = 5*k. Suppose k = g - 5, -4*g - 14 = -j - 6*g. Solve -5*h - 15 = -j*x, -3*x + 9 = -2*h + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 3*f + 63. Determine y(-16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1599331, 1599334, 1599339, 1599346, 1599355, 1599366?\nAnswer: 1599379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.034 - -3.036. Let u = 0.07 - y. Which is the third smallest value?  (a) 5  (b) -3\/7  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3327228*b*i**2 + 4241278*b + i**4 wrt i.\nAnswer: 6654456*b*i + 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -1422*c + 27. Let p(i) = -i**2. Give b(p(j)).\nAnswer: 1422*j**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4 - 3 - (-30 - -3). What are the prime factors of 0 + 1 - y\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -3, 3*t + 4 = c + 4*t. Suppose -15 = c*n, -2*n + 39 = 3*y - 0*n. Let q = 8 - -1. What is the remainder when y is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, 47, -0.01165 in increasing order.\nAnswer: -2\/5, -0.01165, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*i**40*i))\/(i\/(i**12*i)) assuming i is positive.\nAnswer: i**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 5, j: 2, q: 3}. Give prob of sequence jqsj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:19 AM and 1:26 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, n: 1, q: 2, j: 3, d: 5, g: 1}. Give prob of sequence qj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.348 rounded to two dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*b - 2*f + 9 = 7*b, 0 = -2*b - 3*f + 17 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**3 - 6*b**2 + b + 5. Let r be a(-6). Let f be 2 + 1 - 40\/15. Is r less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-b + 0 + 0 + (0 - 1 + 2)*(0*b - 3*b + b))*(-17 + 6 - 23) as f + l*b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 105883?\nAnswer: 105883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/6540918 and 71\/39245508.\nAnswer: 39245508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 839652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -157, -315, -499, -721, -993, -1327?\n\"Answer: -2*f**3 - f**2 - 141*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -13*l**3 + 15*l + 2. Let k(p) = -6*p**3 + 7*p + 1. Let x be ((-30)\/(-4))\/(3\/6). Suppose -10*s + x*s = 20. What is s*b(z) - 9*k(z)?\nAnswer: 2*z**3 - 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -1 + (-9 - (-8 + 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 329, 1189, 2605, 4583, 7129?\nAnswer: 10249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 - 124 = 17*l. Which is greater: l or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 44 - 46. What is the tens digit of (-205)\/(-3 - 2) - t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 1372*z + 102866. Determine m(-75).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 149 and 11.78.\nAnswer: 1755.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(224)*-2 - sqrt(14)))\/((sqrt(28)\/sqrt(2) - sqrt(14))\/sqrt(7) - sqrt(2) - (sqrt(2) + sqrt(72)*1)))**2.\nAnswer: 5103\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as 1\/1981473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:35 PM and 11:05 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -593 + 1185\/2. What is the second smallest value in u, 32, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1742201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -310349\/12 + 25859. Let s = 366 + -1111\/3. What is the common denominator of s and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**3 - 3*r**2 - 2*r - 1. Let y be n(-2). Let a be -6 + 11 + y + -1. Suppose 4*u - 740 = 2*f - 0*f, 3*f + 549 = a*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1949 + -1948. Which is the smallest value?  (a) 1.34  (b) p  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29, -426, -823, -1220?\nAnswer: -1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4)\/(-6))\/(8\/(-12)). Let b(x) be the first derivative of -107*x**4\/4 - 2*x**3\/3 - x**2 - x - 2. List the prime factors of b(z).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -72 + -88. Let p = t - -156. What is the second smallest value in 2\/5, 5, p, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(170) - 2*sqrt(170)*-4 - 1*sqrt(170)*5)\/(sqrt(440)\/(sqrt(55)\/sqrt(5))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 507944111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/11 + ((-21)\/(-11) - 2). Put 0.1, c, -0.2 in descending order.\nAnswer: 0.1, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -4*l + 23. Let y be a(-4). Calculate the greatest common factor of 24 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1715361?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 + -13 - -14) + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 11222500*v**2 - 3055200*v + 207936 = 0. Calculate v.\nAnswer: 228\/1675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/19?  (a) 2\/15  (b) 3  (c) 0.9  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 5\/6  (b) -0.5  (c) -0.05  (d) 2\/3  (e) -2  (f) -3209\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3037, 6065, 9089, 12109, 15125, 18137?\n\"Answer: -2*v**2 + 3034*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.074 + 0.074. What is the nearest to 1 in 5, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/1*(-26)\/((-78)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 0*c + 11 = -2*y, 5*y = 2*c + 1. Let l be 6\/9 - 1\/c. Let n be 0 + 0 + (l - -5). Solve -k + 10 = -n*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.4  (b) 5  (c) -2078\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**4\/11 + 16*f**3\/11 + 10*f**2\/11 - 100*f\/11.\nAnswer: 2*f*(f - 2)*(f + 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 549 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = 3*h - 24. Suppose 5*u + 174 = h*u. What are the prime factors of u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123*g - 593862 + 591209 = 1093277. Is g a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 3*p + 0*p - 8 + 3*p + 2*p - 6*p - 2*p + p + 0*p + (3*p + 2*p - 7*p)*(-2 + 2 + 2) + 2*p - 5*p + 4*p.\nAnswer: -8*p - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 - 27*a - 4391. What is o(-54)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -2*i**2 - 3*i. Let o(d) = -6. Let w(a) = -a + 12. Let b(s) = -2*o(s) - w(s). Determine -3*b(n) - k(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -104459, -104534, -104609, -104684, -104759, -104834?\n\"Answer: -75*v - 104384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 3*d**2 + 4*d + 5. Let t(q) = -21*q**2 - 12*q + 390. Let x(v) = 6*f(v) + t(v). What is j in x(j) = 0?\nAnswer: -10, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the second derivative of -y**7\/420 + y**6\/80 - y**5\/40 + y**4\/4 - 5*y**2 - 5*y. Let k(i) be the third derivative of w(i). Factor k(z).\nAnswer: -3*(z - 1)*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 399 in -5, -0.1, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -34.1555 + -0.8491. Let w = g + 35. What is w rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 10 + 5 - 4)*(3 + 4 - 1)*(3 + 3 - 3)*(543 + 10*h - 543) to the form q + w*h and give w.\nAnswer: 2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/9)\/(4\/66). Suppose u = 5*z + 16. What is the tens digit of z\/((-9)\/192)*(-3)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - -3. Let v = 11 - q. Suppose 14 - 4 = v*t. Solve -2*a - t*s - 20 = 0, -2*a + 6 = -5*s - 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17.7 - 7.3. Let t = -443539.9977 + 443515. Let n = t - u. What is n rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 47477 from -8421.\nAnswer: -55898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112*g - 111*g = u - 1, u = 6. Sort 4, -4, g, 9 in increasing order.\nAnswer: -4, 4, g, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*f - 22558 + 5*f - 4*f - 5*f as g + u*f and give g.\nAnswer: -22558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2654, 5313, 7972?\nAnswer: 10631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/50 and -3\/31450.\nAnswer: 31450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11373805?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from urruusrruuustuu. What is prob of sequence suu?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 10 + -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42 = -58*v + 65*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 5 + 2. Let g(b) = 10*b**2 + b. Suppose 0 = 2*k - 2, k - 1 + 3 = -3*m. Let f be g(m). Solve n + f = -2*p, 7*p - 2*p = c*n - 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -122120022110 - 0?\nAnswer: -122120022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x. Let s(r) = -r**3 - 3*r**2 - 5*r. Let u(n) = -s(n) - 5*t(n). Let p(f) = f**2 - 2 + f**3 + 3 + 0. Give -2*p(z) + u(z).\nAnswer: -z**3 + z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1387702 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 + 2*a**2 + 3*a + 2. Let l be c(3). Let s(f) = 4*f - 2. Let x be s(l). Solve 0*r - b - x = -2*r, -r - b = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 + 11*l**2 + 10*l + 30. What are the prime factors of m(10)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 614 + -1214. Let g be (-6)\/((-4)\/(v\/22)). Let n = -2625\/44 - g. What is the common denominator of n and 43\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 135, 99, 53, -9, -93, -205, -351, -537?\n\"Answer: -l**3 + l**2 - 32*l + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*c**3 + 2*c**2 - 272*c**4 + 211*c**4 - 2*c + 60*c**4 + 10 as u + n*c**2 + l*c**3 + j*c**4 + r*c and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**7\/(s**(1\/2)\/s))**(2\/15) assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5120161.\nAnswer: 809, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*x + 2 - 9*x - 14*x.\nAnswer: -26*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 415*p = -414*p + 38, 2*h - 3*p = -5 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*o**2 + 13317*o**3 + 51*o**2.\nAnswer: 13317*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -x**2\/2 + 13436045*x - 180527305242025\/2 = 0.\nAnswer: 13436045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 4*i = 4*d - 20, -2*i - 8 = -4*d. Solve -15 = i*p - k, 3*p = -0*p - k - 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222474 is divided by 666?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**2 + 6*n - 36. Determine t(-7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u**3 + 21097003*u - 21097003*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*i - 19*i + 10*i**2 + 12*i.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -12*z**2 + 94*z - 17. Determine t(7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 5) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 5*p - 1 = -2*l, 0 = 2*l + 4*p - 8. Suppose -l*o = -3*o. Suppose -w + 11 - 3 = o. What is the remainder when 13 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 125293 and 178990?\nAnswer: 1252930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (3 - 10 - (1 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -981467 bigger than -981517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 6) + 2 + -2 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of 393*b**6\/20 + 1813*b**3\/6 + 2*b**2 + 686. Differentiate x(t) with respect to t.\nAnswer: 7074*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45)*4)**2 + (sqrt(50)*3)\/sqrt(10) - ((1 + -1*sqrt(5))**2 + sqrt(5) + sqrt(5)*-1*5).\nAnswer: 9*sqrt(5) + 714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 211143 - -24343?\nAnswer: 235530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 99.379041 rounded to two dps?\nAnswer: 99.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -25*a + 29*a. Solve 0*x - 2*x = a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*b - 29*b - 22*b)*(5 - 7 + 13) + b + b - 6*b - 2 + b + 2 + 2*b + 0*b - b + (-3 - 3 + 5)*(5*b - b - 5*b) in the form q + i*b and give i.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2640 and 249216.\nAnswer: 1246080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 262 and 24976?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18 + -14. Let t be (w + -7 - -1)\/(-2*1). Let r(s) = -3*s**2 + 2*s + 1. Let d = -2 - -1. Let i(x) = -x**2 - 1. Determine d*i(j) + t*r(j).\nAnswer: -2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s - 11*s - 9 = 0. Sort -0.1, s, 3, 1\/6 in increasing order.\nAnswer: s, -0.1, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 4*u + 2. Suppose -2*w = -430 - 390. Let m = w + -409. Determine o(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/18*(-5481)\/(-406)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in g**4\/3 + 50113*g**3\/3 + 1051808*g**2\/3 - 6211252*g\/3 + 2604784 = 0?\nAnswer: -50092, -26, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9*x**3 + 19*x**3 + x**3)*(-25*x + 16 + 17*x + 3*x) as k + s*x**4 + r*x**2 + t*x + j*x**3 and give s.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -113*p + 8. Let w(o) = 111*o - 8. Let y(n) = 5*w(n) + 6*x(n). Is y(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the third derivative of l**6\/120 + l**5\/6 - 3*l**2 - 4*l + 2. Suppose 0*s - 3*s = 30. Calculate o(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 3\/11, -1\/2, 1\/3, -0.03?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 11770*b = 11767*b + 21, -7*b + 61 = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/17 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 3*r = -2*k + 324, -2*k = -4. Suppose 6*t + 9 - 99 = 0. Let a = r - t. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 265\nAnswer: -1\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y = 2*y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*l + 75 = 222. Suppose 6*h - l = 89. Calculate the remainder when 127 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 48636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -5*d + 4*d. Let c be 3 - 90\/(d + -6). Calculate the greatest common factor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -331 and -737.079001.\nAnswer: -1068.079001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lkkkptckt. Give prob of picking 2 t.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j - 3. Let n be r(3). Suppose n = -h + 6*h - 100. Calculate the highest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppkkgppw. Give prob of picking 1 g and 2 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -156 - -156. Let t = 11 + l. Solve -2*d - 4*m = 10, m = 3*d + d + t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1319735 = 1319738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -9*m + 15246. Let y be (2\/5)\/(m\/(-45)). Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10868 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 - 49.47?\nAnswer: -85.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**2 + 21*z - 88. Let j be i(15). Let p(b) be the second derivative of j*b**2 - 2*b + 0 + 1\/6*b**4 + b**3. Find o, given that p(o) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((38640\/161)\/16)\/((-2)\/(4\/2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1 + 1)*635\/10.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 19*n. Let a(y) = -1493*y + 5. Let d(p) = 749*p - 2. Let w(b) = -2*a(b) - 5*d(b). Give -242*m(l) - 6*w(l).\nAnswer: -44*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -28b00 - -1?\nAnswer: -28aff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4737564 and 705536?\nAnswer: 2756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1888*h = -387*h + 296*h - 132593 for h.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 3*s - 12 = 0, 47*s + 9 = 50*s. Sort 273, o, -0.5 in ascending order.\nAnswer: -0.5, o, 273","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (7 - (4 + 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 12922242?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3 + 17\/2*j + 35\/2*j**3 + 29*j**2.\nAnswer: (j + 1)*(5*j - 1)*(7*j + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/y**(-22))\/y*y\/(y*y*y*y*y\/(y\/((y\/y**32*y)\/y))))\/(y\/y**(-2\/3))**35)**12 assuming y is positive.\nAnswer: y**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (1 + -1*(sqrt(637) + (sqrt(637)*1 - sqrt(637))*-5)*5)*3)**2.\nAnswer: -630*sqrt(13) + 143334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -72777*f**3 - 2*f**2 + 39*f + 73. Is c(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 8\/15 of a day?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00527 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 185 = 41. Calculate the highest common factor of p and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 74858793 to the nearest integer?\nAnswer: 8652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 359 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -188924987.\nAnswer: 2\/188924987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2*1 + 39\/15. Let r = 7 - 13. Let f be 6\/27 + r\/27. What is the nearest to f in -3, 1\/3, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 870 + -795. Solve 0 = -69*b + x*b - 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, w: 8}. Give prob of sequence ww.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 6, -7\/3, -443.9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2707159*z**2 - 96586*z - 20.\nAnswer: 5414318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 522*w. Let r(g) = -3360*g - 5390. Let p(n) = -41*n - 66. Let l(a) = -245*p(a) + 3*r(a). Calculate l(d(o)).\nAnswer: -18270*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -758 + 760. Solve -2*a + 3*a + 23 = -5*t, 4*a = -p*t - 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116*o = 107*o - 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*s + 26*s = -n + 171, -4*s + 348 = 4*n. What is the least common multiple of s and (36\/54)\/(2*(-1)\/(-36))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = p - c - 6531000, 32655000 = -5*p + c. Round p to the nearest one hundred thousand.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of 3 + 1\/9*j**3 + 2\/3*j - 1\/2*j**2. Determine k, given that h(k) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-10)\/4 + 2)\/((-129)\/(-86)). What is the nearest to v in 2\/5, -0.1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3, -4, -53, 14, 4, -92 in decreasing order.\nAnswer: 14, 4, 3, -1, -4, -53, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1612956 at least as big as -1612957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 12:50 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 1. Let a(m) = -m**2 + 9*m + 1. Let u(r) = a(r) - 4*d(r). Let y be u(8). Suppose -y*z + 42 = -3. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(-2\/7)*y)\/y)\/y)**(-5) assuming y is positive.\nAnswer: y**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0170412 rounded to 5 decimal places?\nAnswer: 0.01704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**2 - 3012850*i + 475905480.\nAnswer: 5*(i - 602412)*(i - 158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1b4 - -9?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2 - -10)*(-13)\/26 + 1941?\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + 1. Is q - -2 - (1 + -31) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -145963608*i - 104493178 wrt i.\nAnswer: -145963608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -54\/17 and 24\/32 - (-51)\/(-8).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 + 21*v**2 + 19*v - 17. What is the smallest common multiple of u(-20) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.03623 + 0.0369. What is q rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6955885 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.084, 4\/5, -4 in decreasing order.\nAnswer: 5, 4\/5, -0.084, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, f: 11}. Give prob of sequence ff.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - 121.8358.\nAnswer: -118.8358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/1 + 12 + (-33 - -36). Let j be 58\/(-2*1\/2). Calculate the smallest common multiple of 21\/l + j\/(-4) and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**29*c\/(c*c*c\/c**(-1)*c) assuming c is positive.\nAnswer: c**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 6*x**2 + 3*x + 2. Let q be w(-2). Let m be 64\/q + 1\/(-5). Suppose -4*l + p = -8, 5*l - 10 = m*p + p. Solve -5*z - l = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.01, 4, 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 89294 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 42084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 + (-117)\/30)*(-30)\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66*g**3 + 5110 - 10161 + 63*g**3 + 5051.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/16*-388*(-2 + 1). Let f = u - -106. Suppose -f*g + 153 = -0*g. Does g = 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -100 - -312?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cb when two letters picked without replacement from cbvvcvvvvvvojvvo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 1 - 1. Suppose 5*o - 100 = -5*s, -l*o = -o. Let z = s - 3. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -902892*f + 3537006.\nAnswer: -902892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 1 = 7. Let s be o*(-3 + 3\/2). Which is the nearest to -1?  (a) 3  (b) 2\/17  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 4  (b) -0.2  (c) 9  (d) -1\/38  (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jfjbjbjbj. What is prob of sequence bj?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v + 46 + 98. Let a = v + 74. Suppose -z + 2 = 0, 0 = -3*n + 5*z - 4*z - 2. Solve n = i - 2*q - 9, 0 = -a*i + 7*i + 5*q + 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 126 by 231.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*l + 6*l - 3*j = 9*j - 4, 9*l - 69 - 2 = 4*j for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -552 or -525?\nAnswer: -552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 20*b**5 - 793*b**4 + 118*b**2 - 62878168*b wrt b?\nAnswer: 400*b**3 - 9516*b**2 + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) 5  (c) -2  (d) 2\/21  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 2 j when four letters picked without replacement from {i: 3, g: 3, j: 2}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*j**2 - 3*j**2 - 9*j + 4*j**2 - 3*j wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 2 p when four letters picked without replacement from {p: 2, m: 1, o: 2, h: 2, r: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 386 + 12 = -4*h, -4*l - 3*h = -774. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 3*t + 75. What is the remainder when 61 is divided by s(-18)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 + 30\/(-2) + -3. Let c = -30 - f. Is (-4)\/c - (-6124)\/28 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-6)*1\/(-42)*-7\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-104)\/(-10)*16725\/2676?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33504 is divided by 33495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -178, -170, -158, -142, -122, -98?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - w + 1 = -0*w, 5*h - w + 1 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z + 583 = 601. Let b = -1 - -2. Let h(r) = b - 3*r - 7*r + 7*r. Determine h(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65412?\nAnswer: 2, 3, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 1. Let x(g) = -g - 10. Let a(k) = -4*f(k) - x(k). Let h be a(-6). Suppose h = -5*v - 5*c + 4*c + 40, c = 5. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -43*l**2*p**5 - l**2*p + 31*l**2 + 9*l*p + 36*p**5 + 2*p wrt p.\nAnswer: -860*l**2*p**3 + 720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Round 0.0001971 to five decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -84\/619, 0.081, -11.\nAnswer: -11, -84\/619, 0.081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1132131 (base 4) to base 12.\nAnswer: -35b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 14\/24 - 1\/4. Suppose 190*u - 26 = 42 - 68. Put u, -4, -3\/7, x in ascending order.\nAnswer: -4, -3\/7, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l + 2385 = -4*l. Suppose -3*y + 147 = -l. Is 5*(-2 - y\/(-10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 - 66*t**2 - t - 3. Let c(d) = 2*d**3 - 129*d**2 - d - 5. Determine 3*c(g) - 5*v(g).\nAnswer: g**3 - 57*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 - 4*h + 2. Let a be z(0). Let u = 7 + -4. Solve 10 = 5*t - t - a*m, -u*t + 5*m = 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 96 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 - -3. Suppose -3*s = 3*y - 12, y = -2*y + 3. Suppose g - b = s*l + 4, 5*g - 93 = 2*l. What is the remainder when g is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1976 (base 10) to base 4.\nAnswer: 132320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 845 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 k(u) = -49*u**3 + 101*u**2 + 4*u - 4. Let c(b) = -47*b**3 + 100*b**2 + 3*b - 3. Let z(y) = 4*c(y) - 3*k(y). Find the third derivative of z(r) wrt r.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*c + 15*c + 14*y - 46, 0 = -5*c + 3*y + 119 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1668 is divided by 1375?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3800218.\nAnswer: 2, 29, 65521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -84, -14, 0.\nAnswer: -84, -14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes before 6:19 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k**4 - 5*k**4 - 5*k**4 + (-3*k + 3*k - k**2)*(2*k + k**2 - 2*k) to the form m*k**3 + w*k**4 + h*k + a + j*k**2 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.2 - 2.4. Let k(r) = -r**3 + 5*r**2 + 5*r. Let z be k(6). Let v(g) = g**3 + 5*g**2 - 6*g + 2. Let a be v(z). Do a and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 757 - -2936. Let q = g - 2321. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + -0.4. Let z = r - 1.6. Let s(h) = h**3 + 6*h**2 + h + 5. Let j be s(-6). Which is smaller: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c**5\/3 - 44*c**4\/3 + 515*c**3\/3 - 450*c**2 = 0. Calculate c.\nAnswer: -54, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 412773*p**2 + 414253*p**2 + 2*p**3 - 828311*p**2.\nAnswer: 2*p**3 - 1285*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 10 + 15 = 0. Suppose 0 = -0*y - 5*y + 5*r + s, 2 = -2*y - 2*r. Let h = 4 + 0. Solve y = h*l + 21 - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-66)\/(-385))\/((-10)\/(-25))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*s**2 + 24*s**2 - 15*s**2 + 13*s**2 as n*s**2 + o + f*s and give n.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.18 + -0.18. Put -4\/5, r, 0.2 in decreasing order.\nAnswer: r, 0.2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**2 - 3*v**2 + 0*v**2)*(15 - 36 + 3) + 2*v**2 - 3*v**2 + 0*v**2.\nAnswer: 35*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 13107 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/(p*p**10*p))*p*p**(9\/5))**32*p\/(p\/(p**(2\/21)\/p))*p**(-4\/3)\/p*(p\/(p*p*p**(-1\/4))*p)**(-2\/23) assuming p is positive.\nAnswer: p**(2271743\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mzmwmmwrb. Give prob of picking 1 b and 1 w.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 585 (base 12) to base 15\nAnswer: 39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 5*h - 16 = 0, -o = -2*o + h. Suppose -5*m + 2*m + 180 = 0. Suppose z = -o*z + m. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -251465714.4 to the nearest one hundred thousand.\nAnswer: -251500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*m + 6 + 7 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 35883 and 27783.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.4937 times 44295\nAnswer: -21868.4415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -39 - -39. Which is the third smallest value?  (a) -5  (b) 5  (c) k  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:32 AM and 6:22 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2 + 3700270*h.\nAnswer: -2*h*(h - 1850135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1324102 + -10?\nAnswer: -1324112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, -3, -1628, 51, -1 in descending order.\nAnswer: 51, -1, -3, -4, -5, -1628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3\/8, 289, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65893878.\nAnswer: 2, 3, 1220257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 152 - 1871. Let f = 832 - d. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1228829, -2457661, -3686493, -4915325, -6144157, -7372989?\n\"Answer: -1228832*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the third derivative of w**6\/120 - 17*w**5\/60 + 13*w**4\/24 + 29*w**3\/6 - 6*w**2 - 2*w. Is b(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4450988.\nAnswer: 2, 1112747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.3 and 2587?\nAnswer: 2587.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 53 - 99. Let i = f + 47. Which is smaller: i or -1\/40?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2559811 < -2559771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, m: 2, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 31*f**3 - 29. Let d be (2\/10)\/(2\/50). Let r(z) = -32*z**3 + 29. Let s(p) = d*r(p) + 4*j(p). What is the first derivative of s(b) wrt b?\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 - 8*c + 10. Let q be f(7). Let d be (0 - -366)*(-500)\/q. Round d to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b - 7*b - 15 = 0. Find the first derivative of -b*d**2 - 13*d**2 - 15*d**3 + 1 + 18*d**2 wrt d.\nAnswer: -45*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a + 43 = 11. Suppose 5*k + a*q - 178 = 3*q, q + 102 = 3*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18826902 less than 18826902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/18 and ((-301)\/3 - -3)*3\/(-60).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -566*a + 569*a = -6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 220 divided by -11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -58*h - 64*h + 111*h in the form g*h + b and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z + 7. Let g be u(-10). Let l be 11 + -26 + (-2)\/2*g. Calculate the remainder when l\/10*(-65 - 5) is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -936 divided by -18.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.5  (b) 2\/13  (c) -2  (d) -14\/41  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 16\/7 - (-4)\/(-14). Suppose -u - 2*z = 3, 16 + 12 = 4*u - p*z. Solve -u*i + 6 = 26 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-3*sqrt(121)\/(sqrt(33)\/sqrt(3))*-4)**2.\nAnswer: 57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 25866 or 25906?\nAnswer: 25906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r - 3*r + 7*r)*(4*r + r - 6*r)*(r**3 + 8 - 8).\nAnswer: -r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 2 q when four letters picked without replacement from {q: 1, h: 2, e: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2\/11)*c)\/c)**(5\/6)*c**(-1\/2)\/c**(-9\/5) assuming c is positive.\nAnswer: c**(379\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2, -4, 1012, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -4*b + 5*b**2 + 2*b - 3 - 562*b**3 + 563*b**3. Calculate v(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -102418867 divided by 59\nAnswer: -1735913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*q - 18 = 32*q + 3*h, h + 18 = 5*q. Sort q, -3, 35 in decreasing order.\nAnswer: 35, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + 5*h + 37 = 0, 0 = -h - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1213242802?\nAnswer: 2, 37, 16395173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (15 - 4 + 0)*(-3 + 1 - 10)*(13 - 5 - 8*u**2 + 6*u**2) to the form q*u + n + p*u**2 and give n.\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2230487?\nAnswer: 7, 318641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11.0880197 - 1.0880417. Let z = 10 - g. Round z to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s**(-1)\/s))**(-7\/2) assuming s is positive.\nAnswer: s**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 0.5703767 minutes?\nAnswer: 34222602000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/72 and 77\/1692?\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1122887778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 136 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 3*g = 807 + 5211, 6 = g. Calculate the greatest common divisor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*y + l, -2*y + 3*l = 2*l - 7. Suppose -y*w - x + 17 = 0, 3*w + 3*x - 23 = -x. Differentiate 3*s - 4 + 2*s - w*s - 8*s**4 wrt s.\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 + (-1608)\/9*-6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 0*o = 80. Suppose 4*p - 48 = 4*j, -2*p = -j - 0*j - o. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 632 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -12  (b) 3  (c) 16  (d) 9  (e) -0.4  (f) 137.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 348570380609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21 (base 5) to base 14.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (98\/(-21))\/(133\/(-114)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(-1) - (-4 + -4)\/(-4). Which is smaller: g or -7\/426?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyttytytty. Give prob of sequence ttt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 812969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 45832 by 4.\nAnswer: 11458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 53575, 107148, 160721?\n\"Answer: 53573*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the first derivative of p**4\/12 + 5*p**3\/6 + 7*p + 4. Let i(g) be the first derivative of r(g). What is the second derivative of i(u) wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 + 13. Suppose r - 5 = -j*w - 0, -5*w = 5*r - 75. Let h = -20 + r. Solve -5*o - q - 30 = h, 2*o - o + 25 = -4*q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 27*t**2 + 25*t**2 + 32*t**2 - 92*t**2 - 67*t + t**5 wrt t?\nAnswer: 20*t**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - 3. Let l be (2 + 0 - g)\/(-3). Let u = -5.4 + 5. What is the closest to 0.1 in 0.5, u, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 54165 and 5980?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of -o**4\/4 - 7*o**3\/3 + 2*o + 9. Let g be z(-7). Suppose 0*r = g*r. Sort -1, r, 1 in ascending order.\nAnswer: -1, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 234*z**2 + 150*z + 546. Is 89 a factor of g(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 10*j = -2*k - 64, 35 = -k - 4*j. Let s be (-6)\/k + 14\/18. Sort -3, s, 3.\nAnswer: -3, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(27\/(81\/4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0\/((-3)\/(-1)))\/(-2). Suppose 3*k - s - 3 = p, -2*s = k + 7 - 1. Suppose 4*d + t - 22 - 7 = k, -3*d = 4*t - 38. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aqlyjjaloyoqajjo. What is prob of sequence la?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 - 7*m**2 + 4*m - 21. Let s be v(9). What is the highest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(228)\/(1*sqrt(768)) + (sqrt(19) + -1)*-2 + -5.\nAnswer: -15*sqrt(19)\/8 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * 114817209.\nAnswer: 11481720.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -264*p - 154. Let u(d) = 17*d + 10. Let q(s) = -5*m(s) - 77*u(s). Let l(n) = 9*n**2. Calculate q(l(c)).\nAnswer: 99*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*n - 31*n**2 - 2 + 22*n**2 + n**3 + 12*n**2 + 0*n to w*n**2 + r*n**3 + z + y*n and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3796 + 685*c**5 - 3796)*(5 - 2 - 2 + (-3 - 2 + 3)*(3 + 1 - 3) + 5 - 3 - 3).\nAnswer: -1370*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 83*c - 5. Let f(r) = 128*r - 13. Let p(b) = -1154*b + 120. Let u(v) = -19*f(v) - 2*p(v). Give 7*q(w) + 5*u(w).\nAnswer: -39*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 873, 381, -119, -627, -1143, -1667?\nAnswer: -2199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/9)\/(2\/(-48) - 0). Solve 0 = -d*p - 85 + 61 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-3)\/(-4))\/((-3)\/72). Let z = 22 + x. What is the greatest common divisor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*m + 102*m = 4*o - 11, m = 4*o - 17. Let z(i) be the first derivative of 0*i - 8 + 4\/3*i**3 + 0*i**4 - i**2 - 4\/5*i**o + 1\/3*i**6. Factor z(n).\nAnswer: 2*n*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -12 + 82?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15961, -31635, -47063, -62245, -77181?\nAnswer: -91871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 19 and 97223?\nAnswer: 97223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-35)\/(-28))\/(14\/8 - 2). Let o(v) = 5*v**3 - 4*v - 4. Let d(r) = 6*r**3 - 5*r - 5. Calculate a*o(t) + 4*d(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/3 in -1, -1\/17, -0.511, -10\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 35. Let s = v - 23. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 457*o**3 - 1849*o**3 + 461*o**3 + 456*o**3 + 459*o**3.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2610239 divided by 5.\nAnswer: -2610239\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (288\/(-1104) - 237762\/(-483))*2\/8.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 2 + (0 + 2 - 3)*(2 - 2 - 2) + 1 - 7 + 4 + 0 - 1 + 3 + (-6 + 1 + 1)*(0 + 3 + 0))*(10*z**2 - 4*z**3 - 10*z**2).\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 351562195?\nAnswer: 5, 43, 1635173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1036 divided by 4006.\nAnswer: -518\/2003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -4303*z - 163504. What is x(-38)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 440 - 441. Let h(t) be the third derivative of 3*t**5\/5 + t**3\/6 + 16*t**2 - 1. What is h(r)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 19  (b) 0.2  (c) 4  (d) 3  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.01641 + 0.0165053. Round s to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 3*v = 148, 3*v = 4*p - 0*p - 556. Suppose -3*n + p = 5*n. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -6*l**2 - 54*l - 36. Calculate g(-12).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 8*p + 36996 = 0. Is p 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 2:58 AM and 5:36 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f and 1 z when four letters picked without replacement from zzffsxzfzx.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 121 = 62*z. What is the third smallest value in -1, z, -79?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 + 8*v**2 - 8*v + 4. Let f be (6 - 5)\/(1\/7). What is i(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n**2 + 46956*n - 187760 = 0. What is n?\nAnswer: 4, 11735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 11514850 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence px when two letters picked without replacement from cxrpx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 6 = -2*s, s = 3*s + 10. Suppose -t*g = -3*w - 236, 5*g = 5*w + 247 + 53. Let x be (-12)\/(-8)*g\/(-12). Let m(i) = -i**3 - 7*i**2 - 5. Determine m(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or -1.016?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c**2 + 202016*c - 202020 = 0. Calculate c.\nAnswer: -50505, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -74 + 33 + 19 + -28\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 782483597.\nAnswer: 7, 29, 550657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) 13  (b) 6\/11  (c) -34.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {v: 2, k: 3, i: 3, e: 9}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = v - 3. Calculate the greatest common factor of 30 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 13 - 23. Suppose j*i - 8*i - 10 = 0. Suppose -i*p + 61 = -3*n, 2*p + 2*n = -3*n + 12. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00004591 rounded to 6 decimal places?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6451491?\nAnswer: 3, 907, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 5*q + 24 + 49, -q = -3*j - 191. Let n = j - -183. Calculate the greatest common factor of 30 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*p**3 + 4*p**3 + 12*p**3 + (0 + 6 - 3)*(-p**3 + 1 - 1) in the form n*p + i + t*p**2 + g*p**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 19418 divided by 2\nAnswer: 9709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2769 + 8442 = -19*c + 322*c for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 17, 8, -25, -94, -211?\n\"Answer: -2*d**3 + 5*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 68796450*s**2\/13 + 258060*s\/13 + 242\/13.\nAnswer: 2*(5865*s + 11)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 - 1. Let u(p) = 2*p**2 - p + 2. Let b be -3*(-4)\/6 - 0. Let q be ((-6)\/(-7))\/(b\/(-14)). Suppose 2 + 8 = -5*c. What is c*u(d) + q*v(d)?\nAnswer: 2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 27 and 111.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 3*u - 1, u - 4*u = -2*g + 13. Which is the closest to -0.2?  (a) 0.1  (b) 0.4  (c) g  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19443113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**3 - 94*y**2 - 141*y - 4462. Calculate x(-93).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 + -8.2. Let s = 1 + f. Let t be (556\/(-9174))\/(2\/(-18)). Which is the nearest to s?  (a) -3\/2  (b) -4  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 4 = 2*n. Determine x so that -2*x + 3*x**2 - 3*x**5 - n*x - x + 9*x**3 + 0*x**5 - 3*x**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 309?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.0701 and -1?\nAnswer: 0.9299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 890*c**5 - 5*c**3 - 14308*c**2 + 2*c wrt c.\nAnswer: 53400*c**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 5:56 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -67.48 to zero dps.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1131 + -14?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/(-15) - 2\/(-5). Suppose d = -0*u + 5*u + 25. Put -3, 3, 2, u in descending order.\nAnswer: 3, 2, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 2*y = 6, 2*n = -0*n - 2*y - 2. Suppose 4*a = -5*h + 6749980, -h + n*a - 455839 + 1805859 = 0. What is h rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00091529 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 6, -19.4, -19, -70, -0.4?\nAnswer: -19.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 4*h**2 + h. Let m(f) = 5*f**2 - 6*f + 6. Let v(g) = -9*g**2 + 11*g - 11. Let r(s) = -11*m(s) - 6*v(s). Determine 2*i(w) + 11*r(w).\nAnswer: -3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 21681594 a multiple of 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 1007397*u + 4 - 660644*u.\nAnswer: -1668041*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-300)\/(-9))\/(128 - (-19760)\/(-156))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 - (3 - 1)*1. Let a = -2042 + 2046. Is 218*(a\/12 + j\/(-24)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 1)*(-3*w + 0*w + 4*w)*(-97 + 81 - 62).\nAnswer: -156*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**3 - 4*z**2 + 2*z - 1. Suppose 0 = -g + 1 + 3. What is the units digit of t(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 + -4. Which is bigger: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 130152 a multiple of 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1252482 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-79*v - 28*v - 99*v)*(-2*v**3 - v**3 + v**3) - 15*v - 15*v**4 + 15*v.\nAnswer: 397*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + c - 24 + 6 = 0, -3*c + 14 = 5*g. Suppose 4 = 5*f - 1. Differentiate -f + k - g*k + k wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 6534*m**5 - 3598353*m**4 - 22200924*m**3 - 39059157*m**2 - 11442420*m + 9020700 = 0. Calculate m.\nAnswer: -30\/11, -1, 1\/3, 3341\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*c + 2*h + 12, 8 = -0*c + c - 3*h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 715 - 697 = -2*v, 4*u + 4 = -3*v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 108 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*l = 26*l + 256. Let d = 67 - l. Solve d*h + 0*h + 15 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*z - 980 + 1929 = 0. Calculate the remainder when z is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 609 = 7*n + 14*n. Solve -3*h - 4*k = -n, -4*k + 17 = -h - 0*k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2745, 2747, 2749, 2751, 2753, 2755?\nAnswer: 2757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.6 - 4.69. Let i = 0.24 + -0.1. Let g = i + -0.04. Which is the nearest to r?  (a) g  (b) 0  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 207096*i*l**3*y**2 - 199*i*l**3*y + 25*l**3*y + l**2 + 10*l + 2583*y**2 + 2*y with respect to i.\nAnswer: 207096*l**3*y**2 - 199*l**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -7848*1.6\nAnswer: -12556.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - 0) + -3 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of -v**7\/168 + v**6\/24 - 5*v**4\/6 + 17*v**3\/6 + 12*v**2. Let n(y) be the first derivative of o(y). Let n(g) = 0. Calculate g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -323*h**2*u**3 - 22*h**2*u + 786*h*u**4 - 7463*h*u**2 wrt u.\nAnswer: -1938*h**2 + 18864*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 6 = -6. Let b be 6 + 48\/(-4) + (-1 - m). Let q(g) = g**3 + 7*g**2 - 1. Let h be q(b). Sort 7, h, -2 in ascending order.\nAnswer: -2, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 243*g - 36. Let w be q(2). What is the greatest common divisor of w and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 59905979 and -9990.1.\nAnswer: 59895988.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 1, v: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3014 divided by -263\nAnswer: 3014\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-4)*-2*5\/50\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 AM and 9:56 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 44390 (base 11) to base 14.\nAnswer: 19646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j**5\/3 + 32*j**4\/3 + 24*j**3 + 4*j**2\/3 - 70*j\/3 - 12 = 0.\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-4)\/(-6))\/((-7)\/(-21)). Let d(f) be the first derivative of h*f**4 - 3*f**4 + 4*f**4 - 2*f**2 - 4 - 4*f**4. Find the second derivative of d(t) wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 9.5  (b) -2  (c) 1  (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -3, 12.9, 44?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**3 + 1029847*s**2 - 8238728*s + 16477424.\nAnswer: -(s - 1029839)*(s - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = -3*h - 29, -29*r + 27*r - 10 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 134 is divided by -1*(0 + 1) + 26 + 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1536, -1541, -1548, -1557, -1568?\n\"Answer: -t**2 - 2*t - 1533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15165072 and 624?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.18 + 0.18. Suppose -3*b = -0*b. Let t = -1.14 + -0.86. What is the nearest to b in -2\/5, t, j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 3) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 87875 divided by 17575.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1101*d + 367*d - 820 = 9456 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a58 + 0?\nAnswer: -a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c - 9. Suppose -4*q + 18*q - 896 = 0. Let a = q - 69. Let w(b) = b - 5. What is a*w(p) + 3*k(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/5)\/((z\/(z\/(z*z**(-2))*z))\/z))\/(z**(1\/4))**(4\/9) assuming z is positive.\nAnswer: z**(148\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 237598428.\nAnswer: 2, 3, 59, 335591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -583*r**2 - 29*r - 136. Let g be t(-6). What is g rounded to the nearest one hundred?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -19*l - 19. Let r(y) = 17*y. What is m(r(z))?\nAnswer: -323*z - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 8  (b) -1\/2  (c) 5\/2  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1102220121112 - 100?\nAnswer: -1102220121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.6 * -17.49864\nAnswer: 10.499184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -19500 by 195.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9539363?\nAnswer: 17, 61, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 382265 is divided by 345.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + 5519?\nAnswer: 5523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/2)\/((-4)\/(-16)). Suppose 10*y + 744 = a*y. Does 8 divide ((-15)\/(-4) - 4)*y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60\/(-75)*(-20)\/64?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of -p**5\/24 + 325*p**3\/6 - 44*p + 3. Let y(g) be the second derivative of u(g). Let n(j) = -53*j. Determine n(y(r)).\nAnswer: 265*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -12324*a**3 + 79*a**2 - 79*a. Let v(f) = -474*f**3 + 3*f**2 - 3*f. Determine 3*k(t) - 79*v(t).\nAnswer: 474*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -964.1 + 964. Which is the third biggest value?  (a) v  (b) 2.5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2239, 5, 21, 0, 2 in decreasing order.\nAnswer: 2239, 21, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -243 - -126. Let k = j - -116.99999866. Round k to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27, -57, -107, -177, -267?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the third derivative of z**5\/30 + z**3\/3 + 3*z**2. Let d be t(2). Suppose -4 - d = -2*n. Is n > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14517)\/1302 + (-4)\/(-558)*-9 + 11.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -412*(-3 - (12 - 11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**39*l**25)\/(l\/l**(-7)*l*l**(-1\/29)))**(-38) assuming l is positive.\nAnswer: l**(-60648\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 11:55 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + -6. Let i(v) = -v + 4. Let k be i(4). What is the third smallest value in k, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4994*g**6 - 2472*g**2 + g - 2?\nAnswer: -599280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-207)\/759)\/(8\/(-22))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*h**4 + 0*h**4 + 10*h**4 + 60*h - 60*h + 8*h**4 + (0 - 1 + 2)*(-4*h**4 - h**4 + 3*h**4) in the form y*h**3 + p + l*h**4 + u*h + m*h**2 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 3 = i. Suppose i - 13 = s. Let z be s*(-3 + 1)*2. Solve 0 = 5*w + z*o, -w + 0*o + 9 = -o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -282*k = -277*k + 3*u + 5, k - u = 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 368767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 - 12*c**2 + 10*c - 1. Give u(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-3\/2)*v\/(v\/(v*v*(v\/(v\/v**(-1\/5)))\/v)))**(-6\/11)\/(v**(-2)\/v*v\/(v*v*v**(-1\/3)*v))**(-4\/7) assuming v is positive.\nAnswer: v**(-377\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 436 a factor of 61115428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.02 times 5101116\nAnswer: 102022.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 1, -3, 0.1, -360?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 782279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 3419*s - 2. Let f(o) = 13*o**2. Give f(j(p)).\nAnswer: 151964293*p**2 - 177788*p + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**2 - w + 1. Let x(g) = -4*g**2 + 3*g - 3. Let z be (-1)\/(-6)*-2*-9. Suppose 2 - 10 = -8*v. Calculate v*x(q) + z*s(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*c*c\/c**(-7\/5)*c*c\/c**(4\/7)*(c**(1\/2))**(-13) assuming c is positive.\nAnswer: c**(-47\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 7*y**3 - 9*y**2 + 282*y - 5. Let r(w) = 4*w**3 - 5*w**2 + 137*w - 3. Calculate 3*k(m) - 5*r(m).\nAnswer: m**3 - 2*m**2 + 161*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1937, 842, -969, -3502, -6763, -10758?\n\"Answer: -c**3 - 352*c**2 - 32*c + 2322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -3*z, -g + 0 = 3. Let u = 84283\/14 + -6020. Which is the nearest to -1?  (a) 2\/19  (b) z  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (30\/18)\/5*-2*-6. Solve 0 = -4*r - j*b + 10 + 26, 2*r = 4*b - 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1*-6)\/2 + 5. Put 1, c, -11 in increasing order.\nAnswer: -11, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 391\/247 + -33\/19. Let b = 39.2 - 39. What is the smallest value in b, d, 1.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 262 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -5*n**4\/2 - 25*n**3\/2 + 8705*n**2\/2 + 625*n\/2 - 107250 = 0.\nAnswer: -44, -5, 5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = s + 17, 4*s - 5*s - 3*p = -23. What is the highest common factor of 32 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 41*k + 88. Let n be p(-2). Solve 83*j - n = 81*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes after 11:02 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 0.1  (b) 0  (c) 0.1552\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 641041 and 0.045.\nAnswer: 28846.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 3:15 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -n**5\/3 - 56*n**4\/3 + 242*n**3\/3 + 12384*n**2 + 24453*n + 12168 = 0?\nAnswer: -39, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 - 5*s**2 + 2. Let a be c(-5). Suppose 19222 = 37230*x - 37216*x. Suppose 3*m + 5*t - 2097 = 2*t, -3*t = -a*m + x. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of y**4\/4 + y**3\/6 + 2*y**2 - 11*y. What is the tens digit of a(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 69461219 and 6394.\nAnswer: 3197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 299624 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44 + 45*g**3 - 51 + 4894*g + 50*g**3 - 4892*g + 94.\nAnswer: 95*g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from fbkk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.6438 - -1.8438. Which is the closest to 0.15?  (a) -2\/5  (b) 1  (c) p  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 1. Let a(f) = -4*f - 18. Let c(r) = a(r) + 5*k(r). Let u be 16\/(-6)*36\/16. Let i be c(u). What is the greatest common factor of 44 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1210021 - 10?\nAnswer: 1210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 152071 is divided by 664?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is h in h**4 + 924*h**3 + 284592*h**2 + 29218112*h = 0?\nAnswer: -308, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4378?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128 = 35*r - 338 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 165\/15 - (-4 + (6 - (14 + -6)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -15  (b) 0.4  (c) 3\/7  (d) 4\/3  (e) -0.5  (f) 0.012\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2*9)\/(-2) + (284 - 281). Let m(d) = 17*d**2 - 17*d + 15. Let k(c) = 8*c**2 - 8*c + 7. Determine z*m(a) + 13*k(a).\nAnswer: 2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -376 - 1370 - 1010*s + 52952*s**2 - 52947*s**2 - 542 + 248.\nAnswer: 5*(s - 204)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 30432 and 30431 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 17*o + 543996 = 94*o. What is the thousands digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*n - 99 + 99)*(0 + 0 + n) - 2*n**2 + n**2 + 2*n**2 + (-n - 1 + 1)*(2*n - 2*n + n) - 4*n**2 + 3*n**2 - n**2.\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -161 - 33*l - 112*l + 51 - 42*l. Is h(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j**2 + j - 1. Let s(r) = r**2 + 6*r - 5. What is -s(p) + 5*z(p)?\nAnswer: -11*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -641 - -661. Solve j*n + 93 + 7 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 345 = 7*k - 173. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6082360968\/121 + 50264950. Let p = -2496 - y. Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-3)\/(-9)*1*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 - 3. Let s = z + -3.2. Suppose 7*t - 14 = 14*t. What is the nearest to 1\/6 in s, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11033, -11023, -10991, -10925, -10813, -10643, -10403?\nAnswer: -10081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -4*q + 218420, 2*u - 3*u + 54623 = -2*q. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4\/3, 3.4 in decreasing order.\nAnswer: 4, 3.4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/132160 and -69\/3136?\nAnswer: 925120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -103211, -206420, -309629, -412838?\n\"Answer: -103209*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 + r. Let j(h) = h**3 + 2*h**2 + 2*h. Calculate -j(m) + 2*x(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -7367499 + -231\nAnswer: -7367730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9398360 to the nearest integer?\nAnswer: 3066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 20494*m. Let v(q) = -q. What is v(t(y))?\nAnswer: -20494*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -168, -671, -1508, -2679?\nAnswer: -4184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -2*n**3 - 54*n**2 + 55*n - 24. Let q be y(-28). Find the third derivative of 14*m**4 + 58*m**2 + 0*m**3 - 2*m**3 + 27*m**2 + 188*m**4 + q*m**3 wrt m.\nAnswer: 4848*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19473\/18 - (-22)\/132 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8220 is divided by 1438.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 288214, 288935, 290876, 294643, 300842, 310079?\nAnswer: 322960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of 0 + 0*y**2 - 3*y - 5\/6*y**3. Let l(k) = k**2. What is g(l(n))?\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10806 is divided by 230.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minus -365535?\nAnswer: 365632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 35*u - 9. Let a be p(3). Suppose 97*m = a*m + 12. Solve -5*w + m + 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ynynppnpyynyynp. What is prob of picking 1 y, 1 n, and 1 p?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -227.4 - -227. What is the nearest to -1 in r, 2, -17?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -3*m - 2*g + 5*g, 0 = 4*m - 5*g - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 6, i: 3, x: 3, q: 3, s: 4}. Give prob of picking 1 x and 2 i.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1296\/60)\/(-18)*90\/12. Is p greater than -341\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6 + -edb?\nAnswer: -ee2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = 5*k + 9, -11*a + 12 = -4*k - 7*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 2*v + 84. What is the smallest common multiple of 11 and v?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 556121 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of -2*p**3\/3 - p**2 - 197. Determine z(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-27 - -27)\/((-3)\/(-1)). Suppose -20*u + 46*u - 286 = h. What is the highest common factor of u and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 152.47 + 58.53. What is the biggest value in f, 1\/3, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17901 and 2047599.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 73514, 73581, 73686, 73841, 74058, 74349, 74726?\n\"Answer: 2*p**3 + 7*p**2 + 32*p + 73473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 4*a**3 - a**2 + a - 4. Let r(c) = 12*c**3 - 2*c**2 + 2*c - 12. Let l = -40 + 26. Let x(i) = l*o(i) + 5*r(i). Factor x(s).\nAnswer: 4*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 divided by 1174?\nAnswer: 39\/1174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-3)*(-3)\/(-2). Suppose 0 = v*n - 5*x - 33, -3*n + 30 = -2*x + 8. Suppose 4*b + 5 = -c, c - 26 = -c + n*b. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -245 and 0.1.\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 187200\/84 + (-3)\/(-7)?\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s*s**(-10)\/s*s*s))**2 assuming s is positive.\nAnswer: s**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 38644934 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/284 and -57\/8570552.\nAnswer: 8570552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 527 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 4)*(g - 2*g**3 - g) - 2*g**3 - 5*g**3 + 3*g**3 + (6*g**2 - 2*g**2 - 2*g**2)*(0 + g + 0).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 12537216 divided by -522384\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-100956)\/632244 - (-9)\/(-177)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 7, y: 4, w: 3, e: 5}. What is prob of picking 1 m and 1 y?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (62\/(-3100))\/((-19)\/76).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -119845, -479539, -1079023, -1918291, -2997337, -4316155, -5874739?\nAnswer: -7673083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150*q + 75*q + 40 + 35 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2327333003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1707 * -0.4.\nAnswer: -0.06828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - (-1 + -1 + 0). Let w be ((3 - 9)\/(-3))\/k. Which is smaller: w or 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.07 * 6.892.\nAnswer: -0.48244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -132225  (b) 0.4  (c) 1\/6  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -4*i - 49260 - 94744, 4*i + b + 143996 = 0. Round i to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 3*h + 44 = 7*o, 4*h + 58 = 5*o. Suppose 0 = 5*z - 2*l - 6, -o = -2*z - l - 2*l. Suppose -z = -3*b - 17. What is the smallest value in b, 2, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/1*(-202)\/606?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4163*35.3\nAnswer: 146953.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1928162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-13)\/442)\/((-95)\/646). Suppose -2*l - 3*l + 2*c - 961 = 0, l + 2*c + 185 = 0. Let f = -1335\/7 - l. What is the nearest to 2\/7 in f, q, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 + 4. Let u be (0 + 0 + r)*-3. Suppose u*c = 3*c. Solve c = -2*w - 6 + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - 1. Let m be 18\/4 + 1\/z. Suppose 3*v - 36 = -v - 2*l, 24 = 4*v + m*l. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 233 - 111. Suppose 0 = -w + 2*w + 2*a - n, -a = -w + 131. Is w a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1056.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -62160*x**2 - 620*x - 307523438?\nAnswer: -124320*x - 620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 27 - 26.82. Let z = k - -0.05. Round z to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 6 + 10 = 0. Suppose 0 = o - c, y + 3 + 7 = o. Let q = y + 47. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 65958, 65960, 65962?\nAnswer: 65964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 12 + 4 = 0. Let m be (-1)\/2 - 1\/z. Solve -2*v = -m*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.3 - -0.3. Let v = -1.75 + 0.15. Let m = w + v. Put m, 3, 1 in increasing order.\nAnswer: m, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 2*j - 540 = 0. Let f be 6\/8 - j\/24. Let h = -14 + f. Sort -1, 1, h.\nAnswer: h, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 113423 - -30?\nAnswer: 113453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/3 - 2\/(-6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 71935788 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/3 - 152\/(-12). Is ((-3)\/(d\/(-998)))\/((-14)\/(-476)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3808298 centuries in months?\nAnswer: 456.99576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, y: 3, h: 3}. Give prob of sequence phh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.66 - -2. Let w = -0.1474 + 0.1474. Which is the nearest to j?  (a) 0.3  (b) w  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/1631 in 3, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1136357 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1279 - 1307 - 15*m**3 + 3860 - 1274.\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -492*n**2 - 8795*n - 6. Give a(-18).\nAnswer: -1104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3247*n + 6435 + 6338 = -215 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 - -1. Let m = -3 - t. Suppose m = 2*n - 2. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1647 = -1243*r - 16546 - 15368 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 2*q - 4 + 27 = 0, 3*k - 2*q + 31 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20371*o**4 - 2*o**2 + 590.\nAnswer: -488904*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.006506479 to six dps.\nAnswer: -0.006506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 602 and 5084363?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 10:56 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*v**2 - 2*v**2 - 7*v**2)*(32 + 12 - 8) in the form s*v**2 + l*v + g and give s.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 343020 is divided by 111882?\nAnswer: 7374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c - 32 = -2*c + 5*j, 3*c + 2*j + 15 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1\/55 + 3901\/220. Find the common denominator of x and 3\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, u: 2, x: 1, y: 5, e: 3, z: 1}. Give prob of picking 1 e and 2 y.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -55268 at least 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -336*c**6 - 1538*c**2?\nAnswer: -40320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 - 104*j - 91. Calculate the remainder when (-1)\/((2\/(-111))\/2) is divided by z(105).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1 - -0.7. Let l = 76.7 - 77. What is the third biggest value in l, -1\/2, z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8.7 and -3067.12.\nAnswer: 26683.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*y - 261 - 84 + y + 4*y**3 - 79.\nAnswer: 4*y**3 + y - 424","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10751 = 3*h + 5*c, -12*c = 5*h - 16*c - 17943. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3176\/65 + 214\/13. Let a = l - -32. What is the third smallest value in a, -0.1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 130 = -74. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 101 = 4*d - 0*d, -d - 2*y + 26 = 0. Suppose 20 + d = -4*h. Let b(a) = -6*a - 1. Let k(l) = -l. Give h*k(t) + 2*b(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -193*h**3 + 1734*h**3 - 477*h**3.\nAnswer: 1064*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bebbe. Give prob of sequence be.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 16 (base 12) to base 11\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/149 greater than or equal to 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2158423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3789.196 and -61?\nAnswer: 231140.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*g**3 + 54*g + 14*g**3 - 74 + 73 as y*g**2 + p*g + t + z*g**3 and give p.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.12 + 162?\nAnswer: 161.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*l - 11. Let p(j) = -3*j**3 - 6*j - j**2 + 8*j**2 - 7 + 5*j**3 - l*j**3. Let i(g) = g**2 - g - 1. What is -6*i(k) + p(k)?\nAnswer: -2*k**3 + k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 18333 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -147242.02732 - -147549.03. Let c = 307 - o. Round c to four decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*b + 6 = -13*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 2.4, -1\/3, -3\/8 in increasing order.\nAnswer: -3\/8, -1\/3, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.18 + 13.18. Which is the smallest value?  (a) 2\/15  (b) h  (c) 0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 8 + 2 = 0. Let i = w + -2. Let a = 3 + 2. Solve -2*b = i*d - 1, 3*b + 8 = -0*b + a*d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -5*u**2 - 18*u + 16. Let k(r) = 3*r**2 + 12*r - 11. Suppose -2*b + 7*b + 3*g + 40 = 0, -4*b - 3*g = 32. Let p(l) = b*k(l) - 5*q(l). Calculate p(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 38, 89, 174, 293, 446, 633, 854?\n\"Answer: 17*l**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -1, 4*s + 4*f = f + 13. Suppose s*l + m = -572, l - 5*m + 572 = -3*l. Let h = 0 - l. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -57 - 2\/4*6. Let q be (-34)\/(-12) + (-10)\/k. Suppose 4*v = 4*a - 66 + 14, -q*v + 29 = a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 5  (c) 0.5  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -43 - 228. List the prime factors of 0 + -1 - (-2 + 1 + b).\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 311292 and 700407?\nAnswer: 2801628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times -2\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oj when two letters picked without replacement from {y: 1, o: 2, k: 4, j: 6, s: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 68 + 50. Suppose -5*b - 3*l = -6*l - 502, -b = -5*l - y. What is the highest common divisor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56.421*813\nAnswer: 45870.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 184 = 166. Let g be (-10 - -9)*z\/3. Solve g*l + r - 11 = 0, 0 = 7*l - 4*l + r - 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -631800 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 3*x - 32, 0 = 4*x - a - 4*a - 53. What is the smallest common multiple of 40 and x?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -40 + 2*a**2 - 45 + 89 + (0*a + a + a)*(2*a - 2 + 2) as i*a**2 + q*a + w and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -26287200 to the nearest 100000.\nAnswer: -26300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 10*v + 43. Let k(j) = -19*j - 87. Let l(c) = -6*k(c) - 11*p(c). Suppose -5*u - 34 = 31. Let s be l(u). What is the nearest to -1 in -7, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79002?\nAnswer: 2, 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 5*c**3 + 4*c**2 + 3072*c + 12360. What is s(-4)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of 1 + 3\/70*a**5 - a**4 + 100\/21*a**3 - 72\/7*a**2 + 9*a + 1\/105*a**6. Suppose q(w) = 0. What is w?\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 2*n - 10*n + 6 - 7175*n**3 + 12*n.\nAnswer: -7175*n**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.21898 times -27.7\nAnswer: 6.065746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -3 + (-203)\/(-7 - -6) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 464906479?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -4268 (base 13) to base 11\nAnswer: -6a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -163182038?\nAnswer: -163182038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 84.05135 weeks?\nAnswer: 588.35945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 - 5*z - 1. Let n be f(8). Suppose i - 375 = -n. Is (-33)\/(-55) + i\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -73*f**6 + 11*f**5 + 714*f**2 wrt f?\nAnswer: -8760*f**3 + 660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2631*c*y**4 + 2*c*y**3 - 48*c*y**2 - 18*c - 2*y**3 + y**2 + 3*y wrt y.\nAnswer: -63144*c*y + 12*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 56*p. Let r(g) = -549426*g**2 - 3. Calculate q(r(d)).\nAnswer: -30767856*d**2 - 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117)*2*-5 + sqrt(117) + (-3*sqrt(117) - sqrt(117)) + 4)**2*-4*-6.\nAnswer: -7488*sqrt(13) + 474936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -11110100110100 (base 2) in base 3?\nAnswer: -210111022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 15*c**2 - 2*c. Suppose f + f = 4*k - 10, 5*k = f + 5. Let g be s(k). Solve 2*q + 6*r + 2 = 2*r, g = q - 4*r + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 36 + -4. Let z = -25 + x. What is the derivative of a - z*a - 10 + 5 - 11*a wrt a?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -70, -73, -76, -79, -82, -85?\n\"Answer: -3*k - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 36099 = 3*t, 7280 = t + 2*r - 4763. What is the highest common divisor of t and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1813 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 402, 833, 1264, 1695, 2126?\n\"Answer: 431*p - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-10)\/35 + (-195)\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of f**4\/8 + 13*f**3\/6 - 17*f**2. Let t(b) = 5*b + 20. Give -8*s(m) + 5*t(m).\nAnswer: m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + 2. Let q = w + -2. Sort q, -4, 0.1 in decreasing order.\nAnswer: q, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j + 8. Let q be d(7). Let p(r) = 3*r - 6*r - q + 2*r + 10*r**2. Is p(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 + 80*o**2 + 87*o + 637. What is w(-79)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 14, -838, 3, -1 in increasing order.\nAnswer: -838, -12, -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/6)\/((-5)\/((-45)\/12))*-18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/582 and -85\/6?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*12\/(144\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 35, -5, -887 in descending order.\nAnswer: 35, -2, -5, -887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 697644*v + 4185860. Determine n(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -505, -2003, -4499, -7993, -12485?\n\"Answer: -499*b**2 - b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 14690129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -1142207 to the nearest ten thousand.\nAnswer: -1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1099.\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.07 + -0.14. Let r = -0.77639276 - -0.846393. Let t = r + d. Round t to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of d**4\/12 + 5*d**3\/6 + 2*d**2. Let n(l) = 3*l + 6. Let v(h) = -h + 17. Let j be v(12). Determine j*z(u) - 4*n(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105 = 7*k - 21. What is the units digit of (-3)\/k - ((-2735)\/20 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.562 + -3.062. Which is the closest to 3?  (a) 4  (b) 1\/2  (c) k  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5817735.\nAnswer: 3, 5, 7, 11, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-128)\/2 - 8\/2. Let g = p - -226. List the prime factors of g.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 125349.3 - -521708.539?\nAnswer: 647057.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11270 and 11260.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*n - 5*n**2 + 4*n - n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -974 + 4114?\nAnswer: 3140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k - 41. Let h be y(18). Let z be (-63)\/(-8) - (10\/16)\/h. Suppose 16 = 2*p + z. Solve -p*g + 15 = -u, -3*g + 2*g = -4*u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26\/11 + -2243\/330. Find the common denominator of 55\/6 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 109218064 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*f - 302 + 452 = 0. Let a(y) be the second derivative of 9\/20*y**f - 3*y**2 + 0*y**3 + 0 + 3*y + 0*y**4. What is the first derivative of a(i) wrt i?\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 less than 0.03779273319151?\nAnswer: -3.96220726680849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of ((-4)\/(-6))\/(6\/27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144847 is divided by 159?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 5*z + 6 = -4*z - 0*z + 5*u, 4*u = -6 - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -147*f**2 - 10575*f + 21158. Give g(2).\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, h: 1, c: 3, q: 3}. What is prob of picking 1 h and 1 e?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 26*m - 24*m + 11546 - 11662 + (-m - 3 + 3)*(3 - 2 + 1) - 4*m + 3*m + 2*m in the form g + c*m and give g.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 + 0 - 2*r**3 + 0*r**3 + 3*r - 3. Calculate y(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 148085 is divided by 10574?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14.7 - 15. Let d = -6.91 - 0.09. Which is the closest to -2?  (a) -0.4  (b) d  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of -3*x**7\/35 - x**6\/5 + x**5\/6 + x**4 + 4*x**3\/3 + 22*x**2. Let c(i) = 0. What is i?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 3*l**2 + 7*l + 3. Suppose -q - 15 = -2*p, q = 5*p - 28 - 5. Let m be 68\/(-12) + (-2)\/p. Calculate the remainder when u(m) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1159 + -1159.0004677. Round z to 5 dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 32 = -4*a, 31*r - 5*a + 37 = 34*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wlcrccrrrclrr. Give prob of picking 1 w and 1 c.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/76 and 5\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-256)\/(-24) - 11)\/((-4)\/((-3072)\/(-8)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 127\/21340910 and 7\/58?\nAnswer: 618886390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 131 - 68. Let h = 65 - m. What is the second derivative of 4*o + 8*o + 8*o**h + 13*o**2 wrt o?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-6\/5))**(-6\/13)\/(y\/y**(2\/49)*y)**(4\/41))**(-9) assuming y is positive.\nAnswer: y**(1417986\/130585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ess. What is prob of sequence se?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1847.\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 171 and 15986391.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1860, -1, 1 in descending order.\nAnswer: 1, -1, -1860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 2*k**2 - 441076756*k + 24318588085435442 = 0.\nAnswer: 110269189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the second derivative of -j**8\/3360 + j**7\/840 + j**4\/12 + 3*j. Let n(q) be the third derivative of x(q). Find the third derivative of n(g) wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 3088117?\nAnswer: 18528702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 710.0412 litres to millilitres.\nAnswer: 710041.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -2346\/7*p + 1560\/7 + 9\/7*p**2 = 0.\nAnswer: 2\/3, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8)\/(32\/12) - 178. Let v = 186 + g. Solve -2*r + 22 = -4*o, v*r - 22 = 4*o + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 313, 619, 925?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 + -8.3. Let s = 7.2 - 8. Let b = s + 4.8. What is the third smallest value in -2, j, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -578*g**6*v - 99*g**3*v + 343*g**2*v + 3*g**2 - 2*v wrt g?\nAnswer: -69360*g**3*v - 594*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i. Let h(a) = -16199741*a. Give r(h(l)).\nAnswer: -32399482*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 868296872.\nAnswer: 2, 108537109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 1663.842 centimeters?\nAnswer: 0.01663842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -26*v**3 + 44531*v**2 - 14*v - 351691064 wrt v.\nAnswer: -78*v**2 + 89062*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/18 and 43\/19.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 110*i - 5040. Let w be l(44). Which is smaller: w or -23?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 1:36 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 1:12 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1101730 (base 9) to base 3.\nAnswer: 1010001211000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 38733.049 and -49?\nAnswer: 38782.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1ac9 + -4e?\nAnswer: 1a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62 + 119\/(91273\/48262).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -2*u. Let h(g) = -13*g**2 - 95*g**2 + 155*g**2. What is h(m(i))?\nAnswer: 188*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1671988*j**3 - 2*j**2 - 5*j + 32244.\nAnswer: 10031928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1575 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -35132 times 0.06\nAnswer: -2107.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.14, 3, 0.3, -7\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 133*d + 131*d - 25318 = 0, 4*x - 5*d - 50639 = 0. List the prime factors of x.\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95*a - 499298 = -17*a + 419662. Is 33 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -676043, -676000, -675919, -675782, -675571, -675268?\nAnswer: -674855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(13) + 1 + -3*sqrt(13).\nAnswer: -2*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (69\/(-7) + 9)*13\/(2808\/(-112))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 8*s - 13*s - 3430, 3*s - 2779 = -4*w. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39590000 rounded to the nearest one million?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12068038 is divided by 1340?\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 425922495.\nAnswer: 3, 5, 269, 105557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 - 3. Differentiate 8*d - 2*d - w*d - 21 with respect to d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -3*r**2 - 8*r + 22. What is t(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1740800 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6253 + -6267 + (-40 - -2 - 0)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(-10) + 2\/(-5). Suppose a + 4*a - 10 = l. Let h(q) = q**a - 2*q**2 + q - 1 + 2*q**2 + 0*q. Let t(d) = -3*d**2 - 3*d + 2. Give -4*h(z) - t(z).\nAnswer: -z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 33 + -21. Let z = 85 + -71. Suppose -4*h = m - z, -4*m - b = -2*h + h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 230 and 203250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15574 and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 380, 741, 1102, 1463?\n\"Answer: 361*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/6*1)\/(6\/(-72)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffsrfrrcrcrrrsrfssc. What is prob of sequence sc?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-265374)\/221145)\/((12\/(-10))\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, 4, -3, 3 in ascending order.\nAnswer: -3, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4139 + -4139.5. Let q be 2\/8 + 1 - 1. What is the third smallest value in -12, a, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(54)\/(sqrt(9)*-3))\/(-1*sqrt(75)).\nAnswer: sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -3*k**5 - 33*k**4 - 3*k**3 + 729*k**2 + 486*k - 4536 = 0.\nAnswer: -7, -6, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 3*l - 11 = 0, -2*l = -l - 5. Let y(p) = p - 2*p - k*p. Let q be y(-1). Solve -q*w + 0 = 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28, 72, 138, 226, 336?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 34 + -78. Let t = p - -45. Put t, 0.5, -1\/8 in decreasing order.\nAnswer: t, 0.5, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 67255, 67380, 67555, 67804, 68151, 68620?\n\"Answer: 4*a**3 + a**2 + 94*a + 67156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 3*m + 23, 4*p - 2*p + 26 = -3*m. Let b = -5 - p. Suppose -b*i = -3*i + 199. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1635 (base 7) in base 10?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 7)*(-1 + 0 + 156*q - 1 + 215*q).\nAnswer: -2968*q + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 17 - 55 = 0. Let l = -2 + k. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*v**2 + 2*v**3 - 35 + 2*v**2 - 4*v**3 - 10 - 15 in the form x + i*v**3 + p*v**2 + z*v and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.3 - -0.3. Let d = -135 - -131. What is the biggest value in m, -0.2, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 3*l, -u + l + 17 = 93. Let s = u + 130. Suppose 6*v - 3*v - 2*t - s = 0, 15 = v - t. Solve 3*q + q = -v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53852 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 66012455767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 4 = 2*s, 0*f + 4 = 3*f - 4*s. Find the second derivative of -153*n**4 - 140*n**f + 11 + 21 - 3*n wrt n.\nAnswer: -3516*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 58 + 46. Put -0.5, -27, -1\/6, a in decreasing order.\nAnswer: -1\/6, -0.5, a, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2807*c**3 - 2799*c**3 + 4*c**2 - 4*c**2 - 2*c**2 - 15*c + 0*c**2 - 15*c.\nAnswer: 8*c**3 - 2*c**2 - 30*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13085688 and 582?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, s: 10, g: 2}. What is prob of picking 2 s?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/20 - 12272\/(-54280))*(-3)\/(-4).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26338069, 26338070, 26338071?\nAnswer: 26338072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -n + 8. Suppose 3 + n = m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3409 - 1165. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in -2\/3, -1\/4, 46, 1.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -23\/5056?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + d = 4, -5 - 5 = -5*h + 3*d. Let n(y) = -2*y - 6. Let m(k) = k + 3. Let r(c) = -5*m(c) - 3*n(c). Let g(p) = -p - 2. Calculate h*r(a) + 3*g(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3873*o**2 - 2862*o**2 + 5572*o**2 to q*o + p*o**2 + g and give p.\nAnswer: 6583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -6117073 divided by -8\nAnswer: 6117073\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 4*n = 0, 5*n - 4*n - 12 = -2*w. Let b = -1 + w. Let a be 2\/b*(-6)\/(-1). Solve -5*d = -3*i + 6, -2*i = a*d - 3 - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 1. Let t = -1196 + 846. Let a = -350 - t. Solve a = -0*r + r + f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526624.1 millilitres in litres?\nAnswer: 526.6241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -709, -1576, -2747, -4234, -6049, -8204?\nAnswer: -10711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 + 13. What is the remainder when 55 is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**3 - 1254*m**2 + 1251*m.\nAnswer: 3*m*(m - 417)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.0893 - -0.1107. Is b less than 104\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 3*v**2 + 7 + 5*v**3 - 6*v**3 + 14*v + 9*v**2 - 2. Let b be t(13). Let p = b + -12. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 315 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2\/2 + 123*k\/2 + 254.\nAnswer: -(k - 127)*(k + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1 + 79*h**4 - 3*h**2 - h**2 + 15*h - 4*h**2 + 7*h**2 wrt h.\nAnswer: 948*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -5*a + 2*f - 51, a - 3*f + 24 = 0. Let l = 32 + a. What is the remainder when l is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9963626097.38+0.5\nAnswer: 9963626097.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, v: 2}. Give prob of sequence nvvn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*q - 1906 + 448 = 0. What is the greatest common divisor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6117, 6090, 6113, 6210, 6405, 6722, 7185?\nAnswer: 7818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the first derivative of 25333333*x**2\/2 + x + 2. Let y be n(3). Suppose -t = 4*t - y. Round t to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 921*r + 2480*r + 81624 = 0 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 + 10*p**2 - 17*p. Let g be l(8). List the prime factors of (-178)\/g + (-4)\/16.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5641, -41, 277.\nAnswer: -41, 277, 5641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*d**2 + 4*d*u*y**2 - 47*d*u + u*y**2 - 4*u + 157*y**2 + 4*y wrt d.\nAnswer: -4*d + 4*u*y**2 - 47*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 2*x - 3. Let k be v(4). Suppose -8*f = -k*f - 330. Suppose n + 5*s - 40 = 0, s = 3*n + 6*s - f. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 AM and 1:26 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 172 and 7826.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140*f - 1023 = -43 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 282240 divided by 94080\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -773*g - 523*g + 237*g as k*g + c and give k.\nAnswer: -1059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -121 divided by 167394.\nAnswer: -121\/167394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 plus -48685741790823?\nAnswer: -48685741790811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -9*3\/18*(64\/(-24) - 8). Let a(u) = -4*u. Let q be a(1). Put 3, q, v in decreasing order.\nAnswer: v, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1562 and 1420?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3478099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 138359215*i**2 + 68905811 wrt i?\nAnswer: 276718430*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from ntavvtntnn.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 - 27 - (1 - -3 - -3 - 5 - -14).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.06 + -2\nAnswer: -1.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/2805 and -10\/1473?\nAnswer: 1377255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-6\/7)\/s**1*(s*s**(-4)*s)\/(((s\/(s*s**1)*s)\/s)\/s*s) assuming s is positive.\nAnswer: s**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*x + 18*x + 23*x)*(-4 + 4 + 3*x) + (-4 + 4 + 3*x**2)*(0 + 0 - 1).\nAnswer: 198*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 6, f: 12}. What is prob of picking 1 f and 1 l?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3. Let j(c) = -c**3 + 4*c**2 - c - 3. Let p(i) = -2*f(i) + j(i). Let u be p(-4). Let w = 5831 + -52481\/9. Is w equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 + 11*u**2 + 16*u + 16. Let z be q(12). Let c(h) = 64 - z - 2*h**2. Let i(x) = 2*x**2. Determine c(i(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.861 + 0.5.\nAnswer: -2.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + u + 4*u + 16, -5*u = 2*i + 18. Let g be (-4 + i)*(2830\/(-946) - -3). Let f = -2490\/13717 + g. Is 1 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 5*h**2 + 2*h - 15. Let w be b(-7). Let i be (-19481)\/(-616) - 6\/(-16). Calculate the greatest common factor of i and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m*m*m**(1\/3))**2)**(5\/6)*m**(-2\/7)*m\/(m**1\/m)*m*m**2*m**(-2) assuming m is positive.\nAnswer: m**(458\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 57705.7 centimeters?\nAnswer: 577057000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3.3, -0.3, 0.3, -2?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/((-4)\/20)*132\/(-10). Suppose -2*g - a = g - 3*v, 5*v = g + 38. What is the hundreds digit of (-10)\/((-240)\/g) + 1022\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 469661 is divided by 5870?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11.4 + -8.4. What is the second smallest value in -2, -0.5, 0.2, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1730239836 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3043432*j**2*o + 54523*j*o wrt j?\nAnswer: -6086864*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 + (-13 - 14 - -12 - 14)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 - 14*s**2 - 24*s - 1322. Give q(-17).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.3115 - -1.3615. Put -3, 1, -1, l, 35 in decreasing order.\nAnswer: 35, 1, l, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*o + o. Let j = 7 + -5. Which is the second smallest value?  (a) j  (b) 5  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1366590, 0.2, -3 in descending order.\nAnswer: 0.2, -3, -1366590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 896\/(-1440) - (43\/86)\/((-30)\/24)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 PM and 11:48 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 15 + -15 - (0 + 1 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5366 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: Simplify -5 + 1 + (1 + sqrt(637))*6 + 3.\nAnswer: 5 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/4*48\/468*(-3)\/(-4). Which is the third smallest value?  (a) k  (b) 2.1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/7 - ((-55 - 13) + 75)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 1 - a**3 + (208*a + 4616 - 4616)*(2*a**2 - a**2 - 2*a**2) - 2*a**3 + a**3 + 4*a**3 to v*a + z + j*a**3 + c*a**2 and give j.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 2 c when four letters picked without replacement from cccqccqccqcqcq?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 898*c**2 + 900*c + 4. Let j be n(-1). Factor -6\/7*r**3 - 111\/7*r**j - 540\/7*r - 243\/7.\nAnswer: -3*(r + 9)**2*(2*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c1 (base 14) in base 4?\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 349363516 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 PM and 5:20 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40073.\nAnswer: 11, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 8:44 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 9145*p - 28*p**3 - 9147*p + 66 - 2*p**2 - 61 as a*p**3 + v + x*p + j*p**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 11:10 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**2 + 1. Let l(c) = 8. Let p(g) = g**2 - 7*g - 9. Let h be p(8). Let n(f) = h*l(f) - 3*t(f). What is the derivative of n(s) wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 415 a factor of 35426060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1694760 divided by -6.\nAnswer: 282460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*v - 34*v - 39*v to the form g*v + q and give g.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -8*o**2 - 11406*o + 79884. Calculate x(7).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 + 9*w + 6. Let y be u(7). Suppose 6*h - y = h. Suppose 0 = -o - h*o + 25. Solve -3 = -o*n + 2*t + 2, 4*n - 4 = -4*t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4785669, -4785633, -4785599, -4785567, -4785537, -4785509?\nAnswer: -4785483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1705 a factor of 434773528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 (base 7) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 105 - -374. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -49709 smaller than -49687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 86*i*r + r + 170 wrt i.\nAnswer: 86*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.461025 micrograms in nanograms?\nAnswer: 1461.025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(3\/2)\/(d**(-4\/21)*d))\/(d**(4\/11)*d**2*d*d) assuming d is positive.\nAnswer: d**(-1697\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3*j + 194 = 0, 2*x + 135 = -j + 538. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 - 4*o + 6. Let j be y(4). Let r(n) = -n + 8. Let a be r(j). Suppose -1 - 1 = a*t. Which is greater: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17731, -35452, -53167, -70876, -88579, -106276, -123967?\nAnswer: -141652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of 2*o**3\/3 + 1. Let l(b) be the first derivative of 0*b + 1\/2*b**2 + 10. Determine l(d(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1878.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -325379, -325439, -325607, -325937, -326483, -327299, -328439, -329957?\nAnswer: -331907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42 - 111 + 3*j**2 + 45 + 24.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a + 2*j = -21, -419*a - 9 = -418*a - 2*j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 155867 by 32.\nAnswer: 155867\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 + 8*a**2 + 5*a - 13. Let m be d(-7). Let z = -7 + 2. Let y be (-1)\/(m\/z) - -2. Solve o = -y + 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 1040 = r, -d = d - 3*r - 2055. Let i = d + -95. List the prime factors of i.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22038 greater than or equal to 22042?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 369 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - -100010001011?\nAnswer: 100010000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 - 8*z + 11. Let s be i(7). Suppose -l + 5 - s = 0. What is the closest to l in 2\/11, -3, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -112*s**5\/11 - 2839202*s**4\/11 - 17993480700*s**3\/11 - 321311250*s**2\/11 = 0?\nAnswer: -12675, -1\/56, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 292 = -2*a - 5*h + 257, 0 = -3*a - 4*h - 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(891)*-1 - sqrt(891)))**2.\nAnswer: 89100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r + 79 = 241. What is the remainder when 53 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*c - 9 - 2*c - 5*c**2 + 2 wrt c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22 - 3 + 0 - 1)*(-6*p + 2*p + 0*p).\nAnswer: 104*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * 45579621.\nAnswer: 227898105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/6?  (a) -271  (b) -2\/9  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -58 - -88. Suppose -4*d - 3*a + 7*a = -156, d + 2*a = f. What is the highest common factor of d and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23143 (base 6) to base 7\nAnswer: -12426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 137*a - 15. Let p be c(1). Let m = 22 - 17. Let i = m + p. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 2*d = 12. Let r = -2.09 + 0.09. Let q = r - -5. What is the smallest value in 5, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -14*x + 13*x. Suppose -2*f + 4*f + 4*c = 8, -x*f + 5 = -5*c. Put 1, -5, f in decreasing order.\nAnswer: f, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -355*c + 1420. Give i(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the third derivative of 0*d**3 + 1\/30*d**6 + 0 - 1\/6*d**4 - 4\/15*d**5 + 0*d + 8*d**2 + 8\/105*d**7. Factor c(i).\nAnswer: 4*i*(i - 1)*(i + 1)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 212, 228, 240, 248?\n\"Answer: -2*p**2 + 22*p + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 - 2102?\nAnswer: -2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 4*n**2 - 3*n. Let r be (-24)\/(-16)*(2 + 0). Suppose 4*b - 3*b = r*t - 4, -4*b = -t - 6. What is the remainder when y(t) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -498*r**2 + 4*r - 4*r + 500*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 17934739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 9684 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than -2324\/1713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-754)\/174)\/(2\/(-2358)) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.376*0.182.\nAnswer: 0.978432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.021412 + 0.122?\nAnswer: 0.143412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4177 - 11893 = -199*w - 3135. Solve 21*j - w = 103 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, 2991, 261, 5 in decreasing order.\nAnswer: 2991, 261, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c\/(c*c\/(c*c**(4\/9))))\/c*c*c**(-20)*(c*c**(2\/81))\/(c*c**(-14)) assuming c is positive.\nAnswer: c**(-286\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 211 - 191. Solve 4*v + d = 4*h, 2*v + 6 = -5*h - 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -28088 or -1376334\/49?\nAnswer: -28088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5, -1\/7, -0.02, 0, -1673?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9099947*h**3 + 1514*h**2 - 547.\nAnswer: 54599682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -909 = -4*b - 5*c, 0 = 13*b - 9*b - 4*c - 864. What are the prime factors of b?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (18\/8)\/3 + (-335064)\/(-96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16361102 (base 8) to base 9\nAnswer: 7121601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 348*j**3 - 349*j**3 + 13*j + 0*j + 9*j**2 - 12. What is the units digit of v(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2456 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(6\/(-15))*1*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 24*w**2 - 2*w - 18. List the prime factors of q(-3).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -25*i - 117. Determine q(4).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:24 AM and 2:39 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-6)\/(v**(-1\/7)\/(v*v\/v**(-2\/11))))**(1\/8))**(-1\/83) assuming v is positive.\nAnswer: v**(283\/51128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is 2057063520 rounded to the nearest one hundred thousand?\nAnswer: 2057100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c + 7. Let f be x(5). Let t(h) = 3*h**f + 2 + 2*h - h**3 - 2 - 3. What is the units digit of t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + p = 6*p - 481, 3*p - 15 = 0. Suppose -7*r - 21 = -154. Calculate the greatest common divisor of x and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 28204864 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(11) + sqrt(11) + -4 + sqrt(11)*-1 + 0 + sqrt(11) + 5)**2.\nAnswer: 4*sqrt(11) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18194 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1240 is divided by 214?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5.01 - -0.01. Let m = 50.03 + -0.03. Let n = m - 50.5. Sort 5, n, p.\nAnswer: p, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -171.8 * 2.1.\nAnswer: -360.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1886)\/(-368)*(2 + 0). Which is smaller: 9 or l?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1120300 (base 4) to base 10.\nAnswer: -5680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1004 divided by 251\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 + 14*x**2 + 22*x - 19. Let l = 3 - 15. Let j be y(l). Solve -2*m = -5*k - 2, 0 = -j*k + m + 3 - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119996579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 6613 - 46409*b + 7248 - 4463 + 46408*b in the form k + i*b and give k.\nAnswer: 9398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(378)\/sqrt(6) - sqrt(63))\/sqrt(9) - (sqrt(49)\/(sqrt(21)\/sqrt(3)) - sqrt(7)) - (5 + -1 + sqrt(252))**2*3).\nAnswer: -799 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 470419\/236 - 7971\/4. Calculate the common denominator of 49\/22 and y.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 28 = 3*f. Suppose 2*o = -r - 2, f - 6 = 4*r - 2*o. Is (-2)\/(-8)*r - -118 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 50 and -199 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -334 + 315 - (-7 - (-2 + 0 - -1))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4248 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 214 and 579298.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.837554 to 2 decimal places.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 301, -2, 81897?\nAnswer: 81897","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -699.0737 times -8\nAnswer: 5592.5896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -42\/5*j + 24\/5 - 3\/5*j**3 + 21\/5*j**2.\nAnswer: -3*(j - 4)*(j - 2)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.935*-0.863.\nAnswer: -0.806905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -2*u. Suppose u = 4*q - 6*q. Suppose q = 4*y - 44 - 20. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the first derivative of -t**7 - 5*t**3 + 7. Find the third derivative of l(o) wrt o.\nAnswer: -840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3482 + 3486. Let j(y) be the second derivative of 1\/3*y**b - 6*y + 0 - 10\/3*y**3 - 12*y**2. Factor j(i).\nAnswer: 4*(i - 6)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1\/2168 - -155021\/19512. Suppose 0*q - 5245 = q. Let y = 83843\/16 + q. Calculate the common denominator of y and o.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**3 + 18710752*i**2 + 37421498*i + 18710748.\nAnswer: 2*(i + 1)**2*(i + 9355374)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 37518896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (54*(6\/20)\/(-3))\/(-31). Let d = t - -7\/31. What is the third biggest value in 0.1, 7, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 - 3*x**2 - 2*x + 2. Let b be w(2). Let l(u) = -3*u**2 + u. Let m be l(1). Let y = m - b. Solve -5*t + 3*s = y*s, 5*t - 3*s = 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.1  (b) 49.8862  (c) -0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 660 + -666. Let m be (-3*t\/(-18))\/(6\/12). Is m equal to -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 721 = -2*v. Let n = -100 - v. What is the second derivative of 21*y**3 + 10*y**3 + 17*y - y**n wrt y?\nAnswer: 180*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 42285450*o - 33467188 with respect to o.\nAnswer: 42285450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*n + 2*n - 3*n**2 + 5*n + 6 + 0 = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26833 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the third derivative of -r**6\/120 + r**5\/12 + r**3\/2 + r**2. Let b be t(5). Suppose -2*f + 125 = b*f. Solve 2*x = 7*x + f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) 0.3  (b) 1\/3  (c) -4540\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = 2*m - 3*m, -3*u + 0*u - 802 = -m - 804 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 157 - 137 - (-4 + 23).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 7 = -5*n, 0*y = 2*n + y - 5. Let x be (-8)\/7 + n + 2270\/14. What is the greatest common divisor of 18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - 22 - 38 = -3*y, -4*h + 52 = -3*y for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -475\/2 - -257. Let u = b - 199\/10. Let l = -1 + 0.9. Is l < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(-4)*-2*(-17 + 16). Let s(c) be the second derivative of -17*c - 1\/66*c**4 + 0*c**p + 0 + 0*c**2. Factor s(u).\nAnswer: -2*u**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 - -33. Calculate the greatest common divisor of p and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2276 and 132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 13) to base 6\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 366*s + 5858. Let u be t(-16). Factor 0 - 2*r**3 + 21\/4*r**u + 1\/4*r**4 - 9\/2*r.\nAnswer: r*(r - 3)**2*(r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 113 - 2120011?\nAnswer: -2113232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3\/8  (b) -2  (c) 6  (d) -0.3  (e) 0.48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 4, 120, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1260.04 + 1260. Which is the fourth smallest value?  (a) -10  (b) m  (c) -0.5  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) 1\/5  (c) -33236\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/7, -3, 0.4, 4, 136, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**2 - 2*x + 2. Suppose -5*h = 0, -6 = 2*w - 4*w - h. Let y be q(w). Solve -y*u + 11 = 2*a, -9 + 25 = 4*a + 4*u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -12 - 341*v**4 + v + 3 + v**3 - v**2 + 343*v**4 - 5*v**3 as g*v**4 + j*v**2 + n*v**3 + l*v + t and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 869770615 to the nearest integer?\nAnswer: 29492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 711*h**2 + 52 + 51 - 155 + 52.\nAnswer: 711*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -198.899 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 - 3)\/(2\/3). Let h = 0.9 + -0.5. Let f = 2814 + -2819. What is the third smallest value in t, f, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 3*j - 5. Let r be f(1). List the prime factors of (-115)\/r*(-4 - -6).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 96 and 24768?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/((-4)\/24*-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -2*d + 5. Let z(f) = -14*f. Calculate z(n(t)).\nAnswer: 28*t - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 530, 1041, 1550, 2057?\n\"Answer: -z**2 + 514*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 498354597.\nAnswer: 3, 13, 1063, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 2*t + 4 = 0, -2*s + 6*s - 4 = -3*t. Let d be (40\/(-6) + 4)*3\/(-2). Suppose -4*k + 4 = -x, 3*x + d = 16. Solve k*p + s = 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 72, 79, 92, 117, 160?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 40 - 45. Is z\/2*32564\/(-70) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66*y**2 + 66*y**2 + 23*y**3.\nAnswer: 23*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1394077642?\nAnswer: 2, 73, 491, 19447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3479, 7210, 11181, 15380, 19795, 24414, 29225, 34216?\n\"Answer: -2*x**3 + 132*x**2 + 3349*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 59073360*b**3*h**3 + b**3 - 20564270*b*h + 7*h**3 wrt b.\nAnswer: 354440160*b*h**3 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 140 and 168?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/21164 and -27\/118976?\nAnswer: 4402112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) 5  (c) 13  (d) -27\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 329*b - 327*b - 29 = 0, 2*b = 6*m + 50 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 4*d**3 - d**2 + 3*d - 1. Let x(t) be the first derivative of -2\/3*t**3 + 198 + 0*t + 2*t**2 + 5\/4*t**4. Give 4*s(r) - 3*x(r).\nAnswer: r**3 + 2*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of o**6\/30 - o**5\/20 - 5*o**4\/12 - o**3\/2 - 180*o. Solve m(x) = 0 for x.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the third derivative of y**6\/120 + y**3 - y**2. Let r = 4 + 1. Suppose 3*f = -4*a + 3 - 0, -2*f = -r*a - 2. Give v(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 46, 93, 140?\n\"Answer: 47*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-928)\/(-192) - 1\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4226 (base 9) in base 16?\nAnswer: -c1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**2 + 25*c + 44. Let s be l(26). Solve 0 = 15*k - s*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -107, -5, -4, 4 in descending order.\nAnswer: 4, -4, -5, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-17*n**3 - 17*n**3 + 11*n**3)*(5*n - 5*n + n)*(-2 + 3 + 0)*(-4 + 0 + 2)*(-3 - 2 + 3) to h*n + f*n**4 + u*n**3 + w + o*n**2 and give f.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the first derivative of -89*h**4\/4 - 2*h**3\/3 - 46*h + 18. What is the third derivative of c(l) wrt l?\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9885006 is divided by 271?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11182 - 11187.037. What is m rounded to 1 decimal place?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -42.881 - 145.549. Let x = 2.57 - d. Let m = x - 189.14. What is m rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 10) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 621363973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2288)\/88*-4*2\/16.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -4, -2*c + 2392 + 3330 = -2*o. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3311010323 (base 4) to base 8\nAnswer: -3650473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8823?\nAnswer: 3, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4\/(-8)*-1*14)\/1. What is the derivative of -c + 68*w**3 + 4 - 75*w**3 - 7 wrt w?\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 112, -2\/3, -2\/11, 0.2, 1535 in decreasing order.\nAnswer: 1535, 112, 0.2, -2\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 422.455nm?\nAnswer: 0.000000000422455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 8 - 2 - (2 + 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 222*u - 207*u - 195 = 0 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12043 is divided by 1182.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 6*i**2 + 5*i + 5. Let j(f) = f**2 + f + 1. Let u(r) = -5*j(r) + x(r). Let n(m) = 64618*m - 7*m**2 - 64618*m. Determine u(n(l)).\nAnswer: 49*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -1, 6, 5, 12 in increasing order.\nAnswer: -10, -1, 5, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 - -13. Calculate the remainder when (51\/o)\/(1\/5) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -222 divided by -37.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - g - 2*g + 11 = 0, 4*q - 4 = -4*g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/(-2490)*27)\/(55*(-12)\/(-880))?\nAnswer: 6\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 5*u - 4*j, -3*u - 5*j + 12 = -2*u. Suppose u*q = -r + 27, 11 = 2*q - 2*r - 13. What is the second derivative of 18*x + 7*x**5 - 23*x + q*x wrt x?\nAnswer: 140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.0523 - 0.3093. Let g = p - 4.743. Which is the closest to -5?  (a) 1  (b) -4\/3  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in 10983\/64, -1, 0, 0.1, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, h: 4}. What is prob of sequence oo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 + 5611?\nAnswer: 5605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the third derivative of 25*n**8\/112 - 76*n**7\/35 + 39*n**6\/5 - 137*n**5\/10 + 95*n**4\/8 - 3*n**3 + 175*n**2. Solve o(z) = 0.\nAnswer: 2\/25, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*q + 7*q - 27 - 25 + 0*q + 18*q.\nAnswer: 41*q - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2.8*-0.0852\nAnswer: -0.23856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6016518 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 9*m - 28. What is k(-8)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*q*q**5)\/(q\/q**0))\/(q**(-3)\/(q*q**(3\/4)))*(q**(3\/10)\/q*q*((q*q**(-2))\/q)\/q)\/(q**1*q**(2\/7)) assuming q is positive.\nAnswer: q**(1087\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-2 + sqrt(891)))**2.\nAnswer: -144*sqrt(11) + 3580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aahaaaaahaaahaahaaa. What is prob of sequence aah?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 PM and 9:52 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(1\/6)*d*d**6*d**3*d\/(d\/(d*d*d\/d**(4\/3))) assuming d is positive.\nAnswer: d**(71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 15 = 0, -2*u - 2*u + 5*u - 5*w + 3 = 0 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 9, -1, 139, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (-1 - -5 - (18 + -16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 4 = 4*c. Let g be -113 + 3 + c*6. Let q = -65 - g. Calculate the remainder when q is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 8:19 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -23?  (a) 5  (b) -27  (c) -0.3  (d) -3  (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 24 + -220?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 11865 - 16*z - z**2 + 4*z + 6911 + 12*z as w*z + p + h*z**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -429, -864, -1299, -1734, -2169?\nAnswer: -2604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-40)\/22 - ((-25614)\/(-693) - 37)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.817127l in millilitres?\nAnswer: 7817.127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7c (base 16) to base 3.\nAnswer: -11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 861.399 to the nearest 10.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*u**3 - 579*u**4 + 578*u**4 - u + 2*u**3 + 2 - u**2 in the form a*u**4 + h + k*u**3 + z*u**2 + x*u and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1, -3117 in increasing order.\nAnswer: -3117, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -73*j - 7114. Let g be u(-98). What is the highest common divisor of g and 4860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (7 - 26 - -11) - 14 - -27.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9889938 by -1648323.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 607621074 take away -4.4?\nAnswer: 607621078.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2*o - 3. Let i(m) = 3*m - 1. Let z be i(1). Let c be g(z). Let r(t) = t**2 + 7*t + 1. Let s be r(-6). Sort c, s, -4 in descending order.\nAnswer: c, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72442?\nAnswer: 2, 29, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2.9?  (a) -20  (b) 3  (c) -3\/8  (d) -9\/8  (e) -0.02  (f) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5614815*a*t**3 - 5*a*t**2 - 2058*a*t + 3*a - 2*t wrt t?\nAnswer: -33688890*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1125*m - 312*m + 17871 = 554*m for m.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1548 and 12.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 11 + -8 + (-46)\/14. Let l = 0.03 + -3.03. What is the closest to -0.1 in d, -4, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 14*d + 40. Give g(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14*a*c**3 - 6*a*c**2 - 87*a*c - a + 7*c**3 - 10017*c**2 + c - 1 with respect to a.\nAnswer: -14*c**3 - 6*c**2 - 87*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 AM and 12:19 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.2  (b) -1  (c) -1\/103  (d) 1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 23*z**3 + 9*z**3 + 3*z**5 + 4*z**2 - 3*z**2 - z**4 + 9*z**3 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6, 2\/19, 0.1, 2\/11, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 89058 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/42 and 47\/30758?\nAnswer: 92274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 371856 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 i be -7 + 4 + -2 + 4. Let h(k) = -5*k**3 + k + 1. Let q be h(i). Let c = 1.1 - 0.8. Sort c, -1, q in descending order.\nAnswer: q, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*j**3 - 930*j**2 + 54720*j - 981920.\nAnswer: 5*(j - 76)**2*(j - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 509126247 a multiple of 1473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 - 2*n**2 + n + 1. Let z(a) = a**3 + 13*a**2 - 4*a - 7. Let j be z(-13). Let u = j + -43. Give f(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 108875296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 602657 and 5269?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 - 88*s**2 - 83*s + 349. Let k be u(-87). Solve -136*p + k = -135*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/3)*w)\/(w\/((w\/w**(-7))\/w)*w)*(w*w*w\/(w*w\/(w*w\/(w\/(w**(-2)*w))))*w)**(4\/19) assuming w is positive.\nAnswer: w**(347\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -33 - -33.07. Let u = p - 5.07. What is the nearest to 0 in u, 0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 24602911 to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 1 - 3)*(-357*y + 743 - 743) to s + b*y and give b.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 - (-192)\/63)\/((-1)\/(-4)). Let r = 1136\/9 - 126. Let g = 222\/55 + -40\/11. Which is the nearest to k?  (a) r  (b) g  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 3*q**2)*(-q - q + q) + (0*q - q - q)*(-4*q**2 - 2*q**2 + 4*q**2).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 51 = 5*u, 0 = -m - 4 + 2. Let o be u\/42 - (-4)\/14. What is the closest to 6 in o, -1, 1\/15?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 300 a factor of 46189200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 68\/3 + -22. Suppose -27 = -2*n + 5*o, 5*n - 4*o - 20 = -o. Let i = -179\/3 + 59. What is the nearest to n in i, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - (3 - (-3 - -7))) + 0 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4\/5  (b) -457\/109  (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14501700*b**4 - 33529*b + 13?\nAnswer: -174020400*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Work out 0 - 251744694.04.\nAnswer: -251744694.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 2*p = 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/334 in 0.5, 1\/4, 263.7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**2 + 4*t - 4. Let j(r) = -r**2 + 7*r - 7. Let g = -10311 + 10308. Determine g*j(m) + 5*b(m).\nAnswer: -2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 514453\/283 and 1819 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < -23\/1990417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -25 - 13 - 11*t + 12 + t. Let y be w(-11). Let s be (-49)\/y + (-3)\/(-27)*3. Which is the second biggest value?  (a) 0.1  (b) s  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2938, -23441, -79042, -187273, -365666, -631753, -1003066, -1497137?\n\"Answer: -2922*y**3 - 17*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23442 + 13159. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000110 (base 2) to base 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24b (base 15) to base 9.\nAnswer: -638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-19305)\/(-5445))\/((-6)\/22)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2458691?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 283, 262, 205, 112, -17, -182, -383?\n\"Answer: -18*m**2 + 33*m + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 - 3*u - 1. Let z be p(-1). Let w(i) = 3*i**2 - 1. Let q be w(z). Suppose -2*f = -f - q. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19dc (base 15) to base 12\nAnswer: 32b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1332799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1416348294 to the nearest integer?\nAnswer: 37634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7726, 18102, 28478, 38854, 49230?\nAnswer: 59606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 234*n - 4909. Let o be v(21). Let -5*a**3 - 15\/2*a**2 + o + 15\/2*a = 0. Calculate a.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.13 - -0.03. Let q = 3.7 + 1.3. Sort k, q, -3\/5 in decreasing order.\nAnswer: q, k, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o**3 + o**3 - o**3 - 2 + (6*o - 4*o - 3*o)*(-o - 2*o**2 + o) + 0*o**3 + 4*o**3 - o**3.\nAnswer: 7*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -7*j**2 + 4*j + 4. Let l(x) = 1 - 3*x**2 + 4*x**2 - 4*x**2 + x + 2*x**2. Let d(m) = -5*l(m) + t(m). Give d(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (105 - 19)\/(4\/(-6)). Let m = c - -143. Solve -k + 10 = m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 4:15 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, k: 1, j: 1, l: 2}. Give prob of picking 1 g, 2 l, and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w\/(w\/(w\/(w\/w**6))))\/w)\/w)\/(w\/w**2)*w**0*w*w\/(w*(w\/(w**9*w))\/w*w))\/(w**1*w\/(((w**7\/w)\/w)\/w))**(-25) assuming w is positive.\nAnswer: w**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -40af7 (base 16) to base 9\nAnswer: -443400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8*((-9)\/(-5))\/(2880\/600))\/((-1)\/17)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 - 11. Solve 3*l - 4*o = -2*l + 12, -r = -3*o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) -3  (c) 15  (d) 0.5  (e) -2057  (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1453 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 + l**2 - 6*l + 3. Let h be u(2). Let c be (0 - -14)\/2 - h. Solve -3*s - 2*t = -t + 2, 2*s - c*t + 20 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (218 - 206) + 0 + -10 - -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*(378\/81 + -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of -u**7\/14 - 23*u**3\/6 + 15*u - 9. Let m(s) be the first derivative of t(s). What is the second derivative of m(z) wrt z?\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + -19. Let a(n) be the first derivative of n**3\/3 + 6*n**2 + 4*n - 2. Let k be a(x). Solve k*y + 12 + 4 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = 41*o + 18*o + h - 122, 6*h + 42 = -5*o - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1\/6, 3, -6, 0.0604 in increasing order.\nAnswer: -6, -5, -1\/6, 0.0604, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 + 15 = -15*q. Suppose 5*s = q*j - 2775, -3*j = -s + 5*s - 1651. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2*t**2 + 4*t - 5. Suppose -23 = 7*s - 2. Let z be u(s). Let p be (z - 1) + 40\/10. Solve 0 = -p*d - 9 - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n*n*n**35*n)*n\/(n\/(n**(-3\/7)*n)*n))**38)**(-17) assuming n is positive.\nAnswer: n**(169252\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1\/3, -1, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eetvetvte. What is prob of picking 1 v and 3 e?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15 + -3. Suppose 0 = 3*f - 8*f + 100. Let r = u + f. What is the closest to 0.1 in r, -4, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3700 and 1600?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13007 + -13006.8. Which is the closest to -2?  (a) -0.3  (b) v  (c) 2  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1859 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o**11\/o*o*(o\/(o*o**(-2\/5)))\/o*o**(-2)*o**(-1)\/o assuming o is positive.\nAnswer: o**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 3*i - j, -11*j = -6*j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 151*k + 5.\nAnswer: 151*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 347263211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -1\/3  (c) 0.3  (d) 3  (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -129*38992\/48*(-1)\/((-5)\/(-5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - ((-3)\/(-4) - (-9)\/(-12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/4*64\/216?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 - 214*s + 3685. Calculate c(19).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2438440 is divided by 73.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -3) + -4 + 1 - (-11 + -4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -101007731 divided by 179?\nAnswer: -564289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2439 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: Which is the closest to -1975?  (a) 1.6  (b) -3  (c) 3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6425183.\nAnswer: 97, 66239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - 2) + (32 - 32)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 133, 140, 149, 160, 173, 188, 205?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 2*n + 40 = 0, 2*n = 5*n - 15. Let v be -26*(1 - 5\/y). Let m = -1 + -11. Which is smaller: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 2*w - 1 = -5, -2*p - 2*w = 0. Let j(z) = z + 2. Let f be j(p). Calculate the remainder when (-3)\/(-2 - (-11)\/f) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 e, and 1 o when three letters picked without replacement from ponneopoooneoeoooo?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*w + 735 = -41*w. Let m = w - -296. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29 + 1. Let r = g - 30. Which is the smallest value?  (a) 3  (b) -2\/19  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 92977429 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Convert 2da5d (base 16) to base 4.\nAnswer: 231221131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.084*-2\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26825 and 135975.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - 16 - (-6 + 4 - (1 + -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 7444?\nAnswer: -3\/7444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 2083, -46, -3, 3\/4, -0.3 in descending order.\nAnswer: 2083, 3\/4, -0.3, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 173781\/7 + -24825. Suppose -i = -2*i - 2. Which is the third biggest value?  (a) h  (b) i  (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of -l**5\/35 - 58*l**4\/7 - 17*l - 10. Let j(z) = 0. What is z?\nAnswer: -174, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i**5 - 159421*i**4\/2 + 219242*i**3 + 1833469*i**2\/2 + 19914*i - 597870 = 0 for i.\nAnswer: -39858, -2, -1, 3\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 150802000 to the nearest one million.\nAnswer: 151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 124605050741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 2*y - 86 = -4, -160 = 4*u + 3*y. Let z = u - -58. Let g = -46 + 126. What is the remainder when g is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -2331.4, 4, -0.36 in descending order.\nAnswer: 4, -0.36, -2, -2331.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 4*l + 1 = 0, 4*k + 15 = -2*l + 73. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (18540\/(-80))\/103*1*8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1436754 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/((-9)\/4))\/(-5*18\/(-675))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes before 5:17 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -261, -297, -333, -369, -405?\n\"Answer: -36*j - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 11*c**2 - 2*c. Let t(i) = -6*i + 12*i - 14*i + 7*i. Give t(h(b)).\nAnswer: -11*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5224 is divided by 439.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.018137644 to 4 decimal places.\nAnswer: 0.0181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -3*k**2 - 2 + 2. Let o(y) be the first derivative of y**6\/180 + 3*y**3 + 16. Let m(h) be the third derivative of o(h). Calculate w(m(z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 2*f**3 + 6*f**2 - 7*f - 6. Calculate m(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -815*y**2 + 15134*y**3 + 815*y**2.\nAnswer: 15134*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (1 + 2)) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74*h = 75*h - 18. Suppose -3*g = -93 + h. What is the remainder when g is divided by ((-9)\/(-2))\/((-4)\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 5*m + 2*u + 13, m - 9 = -3*u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -160 + 250. What is the highest common divisor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23982677*q**3 + 12415898*q**2?\nAnswer: 143896062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 + 32. Let m(y) = -3*y**2 + 76*y - 14. Calculate the remainder when z is divided by m(25).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 87\/4867600 and 103\/8600.\nAnswer: 4867600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -931.9529 + 932. Let j = 0.052 - u. What is j rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4804 is divided by 1588.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 962, 806, 626, 416, 170, -118, -454?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 316 and 553?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15, -57, -115, -195, -303, -445?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*c - 6. Let t(b) = b**3 + b**2 - 2*b + 2. What is the tens digit of t(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177531059 is divided by 190.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 - 10*u**2 - 10*u - 2. What is the remainder when 25 is divided by n(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2634036 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 3:58 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) -18.13408  (c) -0.05  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 9:54 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 + 5*t - 9. Let w = 9 - 3. Let u be ((-27)\/w - -1)*2. What is the units digit of v(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 13*k + 313. Calculate the remainder when 40 is divided by g(-23).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 171 = 15266*d - 15323*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5390269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -219922.39 to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*36\/(-81)*22\/8*(-84)\/(-7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -29*c + 358. Calculate w(15).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) -47\/6  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 234*v**2 + 34*v - 65. Determine n(2).\nAnswer: 939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 24 = 2*a - 6*a, -4*a - 5*i + 36 = 0. Suppose a*x + x = -0*x. Suppose x = q - 5 - 15. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -107*-0.3.\nAnswer: 32.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 3*m**2 + 77*m - 98. Let w be z(-27). Solve 5*i + 4*t - w = 0, i = -18*t + 22*t - 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/75 or 1835.38?\nAnswer: 1835.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12447\/196427 - 4\/2551. Calculate the common denominator of 83\/126 and v.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 g when three letters picked without replacement from tuggk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 - 7 - 11*g + 12 to the form d*g + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000672972805 rounded to 6 decimal places?\nAnswer: -0.000673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -200 (base 5) to base 7.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-4) + (-423)\/(-36). Let o = p - 35\/3. Is 0 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 9*f**2 + 3*f - 2. Let c(u) = -2579*u**2 + 1296*u**2 + 1291*u**2 + 0 - 2 + 2*u. Give -2*a(o) + 3*c(o).\nAnswer: 6*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 35*d**2 - 2*d. Let b be f(2). What is the highest common factor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*(2 + -7 + -2). Let v be 2\/(-7) + (-128)\/t. What is the greatest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 112.15*-0.5.\nAnswer: -56.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:09 PM and 4:04 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.35 + 596998756.\nAnswer: 596998753.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46.38459l to millilitres.\nAnswer: 46384.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/(-10)*-1)\/(48\/320)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -438107*t**2 - 3*t - 2173131?\nAnswer: -876214*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -2. Let h(p) = -p**3. Let c(l) = 2*l**4 - 1 + 2*l + l - 4*l**3 - 3*l. Let q(u) = v*c(u) - 4*h(u). What is the derivative of q(g) wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 857987444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 68 + -57. Let x(u) = -5*u**3 - 4*u**2 + 7*u - 4. Let k(h) = -28*h**3 - 20*h**2 + 37*h - 20. Let w(q) = n*x(q) - 2*k(q). Calculate w(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14215b (base 12) in base 10?\nAnswer: -335447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 577  (b) 8  (c) 0.2  (d) 0  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 5, o: 1, d: 3, n: 1}. Give prob of sequence daa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/12358008 and -44\/514917?\nAnswer: 12358008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-3292)\/6)\/((30\/9)\/5). Let p = -502 - x. Is p a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-64)\/(-256))\/(10\/(-72))*5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.7 and -4.164.\nAnswer: -4.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 17 + 1 - (2 + 0). Let p be (-4)\/20 - 1036\/(-5). Let u = p - 127. What is the greatest common factor of u and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a - 16 = 6*a. Suppose 144 = -0*p + a*p. Calculate the highest common factor of p and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -15*j**3 + 5*j**2 + 4*j + 2. Let g(v) = v**3 - v**2 - v. Determine 4*g(p) + i(p).\nAnswer: -11*p**3 + p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*b = 12*b - 5*x + 20, 2*b + 5*x - 20 = 0. Let j be (-3)\/21*-12 - 2. Let q = -3 + 6. What is the closest to -2\/3 in j, b, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - -5. Suppose 0 = -n*f - 2*p, 4*p + 12 = -f - 6. What is the smallest common multiple of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 655*c - 3474. Give v(5).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -104*c*h**2*y**2 + c*h**2 + 127*c*y**2 - 2*y**2 wrt h.\nAnswer: -208*c*h*y**2 + 2*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 54802647 to the power of 1\/3, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13286 = -605*r - 42*r + 64354 for r.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -359*j - 312 = -307*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dwkkkkwwrkwrdrk. Give prob of picking 2 r and 2 w.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6193*k - 446687 = -9210*k for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57251 is divided by 11446.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12346, 24691, 37034, 49375?\nAnswer: 61714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(36\/(-3)))\/((-7)\/16)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21203 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 2*n - 1. Let p(u) = 5*u - 3. Let d(s) = 7*g(s) - 3*p(s). Let f be ((-12)\/10)\/((-1)\/5). Determine d(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.5  (b) 1\/7  (c) -2\/11  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13301, -13302, -13303?\nAnswer: -13304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*k**3 + 3277*k**2 - 3277*k**2 + 6*k**3.\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1396000 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 10, 4*i - 4*m + 155 = -m. Let j = 44 + i. Solve -20 = -5*v + j*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -15 + 1125?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times -8.73?\nAnswer: 8.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-25\/2)*y**11)\/(y**28\/y**(-1\/5)))**(-22) assuming y is positive.\nAnswer: y**(3267\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4605?\nAnswer: 3, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - 5 - 1 - 1)*(3*q - 1 + 1)*(1 + 0 - 2).\nAnswer: -3*q**2 + 21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 18 - 18.916.\nAnswer: -0.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*m**2 + 20763*m + 41514 = 0. Calculate m.\nAnswer: -6919, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 3*t - 5. Let i(j) = j - 2. Suppose 11*n - 8 = 10*n. Suppose -n = k + 3*k. Calculate k*f(s) + 5*i(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**3 + x**2 + 51. Let h be i(0). Suppose 2*c = -2*n - 30, 0 = 5*c - n + 42 + h. Let b = -9 - c. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 s when three letters picked without replacement from {c: 2, i: 5, r: 1, s: 5, o: 4, e: 3}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -208713.\nAnswer: -208717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2151 + -11540523?\nAnswer: -11534332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 2  (b) 4  (c) 5\/4  (d) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (19\/(-5) - (-6)\/(-3))\/((-625)\/(-3125)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, 57, 84, 95, 84, 45, -28, -141?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -4*a**4 - 18680144*a**3 + 18680148*a**2 = 0.\nAnswer: -4670037, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.7 less than 0.381?\nAnswer: 3.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 111 = 4*t, -12 = t - v + 7. Does 2 divide (-800)\/t*12\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 650*y**2 - 413*y**2 - 236*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**3 + 3*f**2 + 4*f - 6. Let t be o(4). Let w(h) = h**2 - 6. Let g(v) = -v**2 + 7. Give t*w(i) - 5*g(i).\nAnswer: -i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 272 minutes before 12:39 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c**5\/3 - 36*c**4 + 500*c**3\/3 + 36*c**2 - 168*c = 0 for c.\nAnswer: -1, 0, 1, 6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 11) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**5 - 2*l**5 - 4*l**5 + (0*l - 5*l + 4*l)*(3*l + l**4 - 3*l).\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -139*c + 144*c - 45 = 0. Suppose -39*l = -c*l - 5430. Calculate the remainder when l is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -92 - 2.8\nAnswer: -94.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -47*j - 2514 + 1856 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + -3. Suppose 0 = 3*h - 2*h + 4*n - 136, -4*h + 5*n + 460 = 0. Let z be (-16)\/h*15\/(-6). Which is the biggest value?  (a) x  (b) z  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 94382856 and 27?\nAnswer: 283148568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -14, 229, 5, 4\/7, -0.3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000125953 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1511867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/271308 and 32\/1869?\nAnswer: 169024884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/(-3)*3\/6. Let z be t - (-2 - (-1 - 0)). Suppose 0*r = r - z. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2283\/2 - (-4)\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 202*r + 4915. What is d(-26)?\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - 12011?\nAnswer: -12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2479 and 268?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**2 - 9*g - 2. Let a be u(8). Let o = a + 10. Suppose 4*m = o, 0*t - 3*m + 4 = t. Calculate the least common multiple of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1843.75 - -0.13502346?\nAnswer: 1843.88502346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 260242 is divided by 770.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i - 7*i + 9828 = 0. What are the prime factors of i?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.5, -5, 2\/123, 23, 0.38, -4\/3, 2?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 44*k**2 - 123*k**2 + 29*k**2 + 6*k**2 in the form g + r*k + d*k**2 and give d.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -4*a + 28, 3*a + 0*s - 27 = 5*s. Suppose -34 = -y + 5*o, 0 = a*y - 0*y + 4*o - 136. What is the remainder when 98 is divided by y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 187479 and 85248?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 73, 75, 85, 109, 153, 223, 325, 465?\n\"Answer: r**3 - 2*r**2 + r + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 67 - 70. Let t = 109 + -126. Which is the nearest to -1\/4?  (a) t  (b) 2\/19  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 3*d**3 - 5*d**2 + 4*d - 5. Let t(n) = n**3 + n - 1. Let w(y) = -s(y) + 4*t(y). Give w(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:39 AM and 7:20 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25092 is divided by 1189?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.27 and 24.81395.\nAnswer: 6.6997665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0271113 * 0.3.\nAnswer: -0.00813339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*q + 24*q. Factor -2\/9*v**4 + 0 + 0*v + q*v**3 + 2\/9*v**2.\nAnswer: -2*v**2*(v - 1)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 196276, 392226, 588176?\n\"Answer: 195950*s + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -270  (b) -2  (c) -4\/23  (d) 0.5  (e) 1\/4  (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*f + 322 = 292 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 70\/(-9) + 6*4\/(-108). Calculate the remainder when a\/(-2) - (-13 - 14) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (-4 - -2) + -19 + (177 - 191)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -93 by -8.\nAnswer: 93\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -606 = 37*u - 40*u. What are the prime factors of u?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 17, i: 2}. What is prob of sequence ffii?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 791891 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 34*o**2 - 21. Let n(k) = -7*k**2 + 4. What is -2*a(v) - 11*n(v)?\nAnswer: 9*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1880 and 11045.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -38*v + 4 + 68*v - 28*v - 15*v**2 + 3*v + v**2 - 3*v + (-v + 4*v - v)*(0*v + 2*v - 3*v) - 1 - 2*v**2 + 1.\nAnswer: -18*v**2 + 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of -h**7\/2520 - h**4\/12 - h**2. Let m(d) be the second derivative of q(d). Let t(l) = l**2. What is t(m(r))?\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/13  (b) 5  (c) 2308  (d) -3  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 4) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -31 - -51. Let y(n) = -n**2 + 38*n + 221. Let t be y(43). Suppose 2*h - 4*h = 2*f - 4, 2*h + 3*f = t. Solve h = -9*s + 4*s + z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven fifteenths of a minute in seconds?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5649170843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 2*u**5 - 8*u**3 + 4*u**2 + 6*u - 4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1675 - -12.9.\nAnswer: 1687.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 0.07, -2, 0, -0.02 in descending order.\nAnswer: 2\/9, 0.07, 0, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/60 and -119\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (315\/7)\/(-9) - 150\/(-6). Calculate the highest common divisor of d and 810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10840003 and 771?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -4, 3\/29, 3\/5?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.02, 4\/9, 5, 0, -2, 152\/13.\nAnswer: -2, 0, 0.02, 4\/9, 5, 152\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/(-1 + 0 + 0). Suppose -3*o + 8 + 13 = q. Solve o = 2*a + 3*u, -2*a = u - 5*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1245949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41, 103, 207, 353, 541, 771, 1043?\nAnswer: 1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t + 5. Let y be u(1). Suppose 8 = 2*k, -2*g - 41 - 5 = -y*k. What are the prime factors of (-1 + -3)\/(2\/g)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-3)*-4*3\/2)\/((-168075)\/(-470610)).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*r + 26*r + 53708 - 107437 + 53729 - 57*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*k**3 + 80 + 5139*k + 5141*k - 15418*k + k**2 + 5138*k to the form l*k + s*k**3 + r*k**2 + p and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 5, o: 4, c: 3}. What is prob of picking 1 w and 1 c?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-7 - -16 - 518)\/((-2)\/22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 7*n - 13*n. Let y(w) = -6*w - 3. Let a be y(n). Which is smaller: -8 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o = -5*x - 0*o - 5, -14*x + 4*o - o = 12*x + 26 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does -4807867 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -205, -790, -1759, -3106, -4825?\n\"Answer: z**3 - 198*z**2 + 2*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((3*((sqrt(102) + 5*sqrt(102) - sqrt(102))*-3 - sqrt(102)))\/((sqrt(6) - (sqrt(6) + 4*sqrt(726)))*-2))**2.\nAnswer: 1217\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -25*y**2 - 2. Let f(x) = -69*x. Determine k(f(g)).\nAnswer: -119025*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -33*r**2 - 8*r + 31*r**2 + 0*r - r**3 + 6 + 0*r. Does 25 divide k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 34671044 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3356, -3314, -3272, -3230?\nAnswer: -3188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 58, 123, 222, 349, 498?\n\"Answer: -r**3 + 23*r**2 + 3*r + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -9*n**2 + 36*n + 82. Determine k(9).\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -848*o*x**4 + o*x**3 + o*x + 47354*o - 28*x**3 wrt x?\nAnswer: -10176*o*x**2 + 6*o*x - 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2883 (base 9) to base 16\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8\/(-20) - (-528)\/20. Solve 29*j - r*j = -3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*t = 54*t + 2023. Let k = -3 + 2.8. Which is the biggest value?  (a) -3  (b) t  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x**2 + 8*x**2 + 3*x**2 - 6*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 602*s - 2754212 - 25138254. What are the prime factors of s?\nAnswer: 7, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -355.2 times 2144?\nAnswer: -761548.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 60051000 to the nearest one million.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 343.9 + -344.9. Which is the nearest to k?  (a) -16\/3  (b) -4  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*1*(-2)\/17. What is the closest to 1 in 1\/3, 0.2, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 0  (b) 3\/5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.004 + 0.096. What is the second biggest value in -0.5, 4, k, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = j + 2*t - 7, -3*j = 3*t - 12. Suppose 0 = 2*p + 4*q + q + 17, -j*p - 8 = q. Let x be 1\/p - 3*-7. What is the greatest common divisor of 80 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525645 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (-24 - -15) - -10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 33, -3, 22, 5, -11, -6 in increasing order.\nAnswer: -11, -6, -3, 5, 22, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -4288, -4285, -4282, -4279?\n\"Answer: 3*p - 4291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 1)*(-41 - 2 - 2)*(-v + 4*v - v)*(0 + 2 + 0)*(-3 - 2 + 4).\nAnswer: -180*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 395 and 3.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/2752 and 79\/576?\nAnswer: 24768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 13*q**2 + 2*q - 4. Let l be p(-3). Is l smaller than 106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3308.8 - -3345.8. Which is the smallest value?  (a) 1  (b) x  (c) -2\/35  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.104 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of n**3\/3 - n**2 - n. Let k(f) = f**2 - 2*f - 4. Let q = -9 + 13. Let w be k(q). What is h(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24492160\/768)\/385*(-4)\/(-14)*(-4 + 1).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 10.8+-0.126\nAnswer: 10.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 589  (b) 0.5  (c) 3\/14  (d) 0  (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.14  (b) 4  (c) -104  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = 3*v + 3, -59*h + 2*v = -54*h + 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 652310 is divided by 427?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3155 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 136 and 1272008?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y**2 - 135*y - 344. Let c be f(70). Solve 17*l - 18*l - 10 = 2*m, 2*m - l = -c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-9) - 2)*109230\/11585?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 150137 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 0 - (-7 + (8 - 15) + 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, 3, -3\/4, -7 in ascending order.\nAnswer: -7, -3\/2, -3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -75726 and -0.6?\nAnswer: 75725.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2541682633 - 2541682633 + 4*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -42 - -43. Let l = -0.3 + 1.3. Let n = 0.9 - l. Sort n, b, -2 in decreasing order.\nAnswer: b, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 - -5. Let f(a) = -4*a**3 - 2*a**2 + 2. Let l(h) = 17*h**3 + 9*h**2 + h - 9. What is c*f(v) + 2*l(v)?\nAnswer: -2*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (57\/(-114))\/(-1 + 2 - 5\/(-5)). Which is the closest to -2\/7?  (a) -1.8  (b) -2\/5  (c) 3  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112674 is divided by 731.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30151, -60356, -90563, -120772, -150983, -181196, -211411?\nAnswer: -241628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 - 10*d - 8. What is w(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.7 less than -98?\nAnswer: -105.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -2*i + 4*i + 7 - 13. Let a be f(4). Solve a*b + 1 = 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 296 divide 4256480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1408 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 20*d + 4 + 0 - 11*d with respect to d.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 181*d - 44. Is b(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*v**3 + 11*v - 56*v + 22*v + 15*v.\nAnswer: 24*v**3 - 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18959\/225 + -484\/225. Let z = q - 81. Find the common denominator of 13*(-4)\/(-7) - 0 and z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 4 + 2)*(-33243 + 5*w + 16579 + 16609) as t*w + r and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -79688 greater than -79685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**3 - 8*o**2 - 11*o + 17. Give y(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 5, 6.52 in decreasing order.\nAnswer: 8, 6.52, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 2*y = 19, 36 = 4*r - 5*y + 6. Let z(x) = x - 1. Let w(a) = -a**3 + 14*a + 5. Calculate r*z(i) + w(i).\nAnswer: -i**3 + 19*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -18295940 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5 - 7*s + 7*s + 10*s**2 wrt s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 141\/12 + (-1)\/(-4). Suppose -r = a - 58. Suppose 5*w - 5*z - 18 - 87 = 0, 0 = 2*w + 2*z - a. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 111\/60 - ((-474)\/(-19908) + (-39)\/315).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of 3*k**2\/2 + 2. Suppose -2 = 5*a - 27. Let g(v) = -v - 3*v + a*v - 5*v. Determine g(l(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fffffffvfvfffv?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10659500 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -45 + 49. Let h(t) = 0 - 2 - 2*t + 1 + s*t. Give h(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 11 - 4)*(-49 + 85 + m + 0*m).\nAnswer: -15*m - 540","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -160.93 - -161. Which is the nearest to 2?  (a) s  (b) -3\/8  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111 is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4318255*l - 26*l**3 - 2*l**2 + 9*l**3 + 4318255*l.\nAnswer: -17*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of 0*k**4 + 8*k + 0*k**2 + 1\/165*k**6 - 7 + 0*k**3 - 1\/22*k**5. Factor r(y).\nAnswer: 2*y**3*(y - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*j = -8*j - 18. Is -12 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26593*-5.1.\nAnswer: 135624.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 10284407, 10284406, 10284405, 10284404, 10284403, 10284402?\n\"Answer: -h + 10284408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: -0.98*0.224\nAnswer: -0.21952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 11:36 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 122 = -2*m + 126, 1 = -4*m - 5*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2118815, -2118820, -2118829, -2118842, -2118859, -2118880, -2118905?\nAnswer: -2118934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((224\/(-110) - -2) + (-6014442)\/88495)\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*j**3 - 4395785*j**2 - 966148486200*j - 966144090420 = 0. Calculate j.\nAnswer: -439578, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 7:26 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) -3\/2  (c) -1\/112  (d) -3  (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1110 - -1140. What is the remainder when 1407 is divided by g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 AM and 6:34 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*z - 7*z + 12. Calculate the highest common divisor of z and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 + 30*n**2 - 308*n - 1790. Calculate r(-37).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 + -13. Let h(i) = 173*i**2 - 5*i + 36*i**2 + 151*i**2 + 10*i**2. Let x be h(y). What is x rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4\/23  (b) -4  (c) 3  (d) 97  (e) 1  (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 91\/8 and -17\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 + 7*m**2 - 9*m + 2. Let h = 4 - 12. What is o(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3*(1*(-2 + 4) - -17). Let m = -40 + w. Suppose 0 = -10*y + m*y. Solve 5*x - 5*f + 40 = y, 0*x - x - 4*f = -17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffvfv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a91 + 14999?\nAnswer: 1597a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 43.99999767 - 44. What is u rounded to seven decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(((g*g**(8\/7))\/g)\/g*g)\/g)\/((g**(-2)\/g)\/g)*(g**(-9))**17 assuming g is positive.\nAnswer: g**(-1035\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 + 171*k**2 + 85*k - 14552. What is m(171)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 396592 and 26992.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12271 + -12268. Put k, -7\/4, -2\/17, -0.04 in decreasing order.\nAnswer: k, -0.04, -2\/17, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 28\/3*b - 10*b**3 + 1\/3*b**4 + 19*b**2.\nAnswer: b*(b - 28)*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v - 16. Let a be w(12). Suppose a*n = 3*n. Suppose -14 = -o - n*o. Solve 4 = 2*l + o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - 24, -2*z - 143*w + 14 = -141*w. Solve -k + 10 = -2*d, -4*d - 7 = z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(12)\/((sqrt(72)\/sqrt(6))\/sqrt(3)))**2 + ((sqrt(192)*-2)**2 - (-3 + sqrt(3) + 4 + sqrt(3) - sqrt(3))).\nAnswer: -sqrt(3) + 785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/113 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + w**2 + 0 + w - 2 in the form o + z*w + s*w**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 119809 is divided by 94?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxl when three letters picked without replacement from fxxgxxfxxlxg?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -145.9628 + 146. Let u = s - 0.043. What is u rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -66 + -6 + 78 - (1 + -1 + -23)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -677 - -770. Calculate the lowest common multiple of k and 12.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117960 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of -f**4\/6 - 5*f**3\/3 + 466*f**2 - 2*f - 3. Let g(k) = -12*k**2. What is x(g(y))?\nAnswer: 48*y**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 16\/6 - 4\/6. Suppose -65*s = -114*s + 98. Differentiate -10*v**s + 19*v**z - 5*v**3 + 2 - 9*v**2 wrt v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*c + 12*c. Suppose 0 = -h + 5 - 3. Suppose h*u + 24 = 6*u. Solve -p - 8 = 5*v, c*v + u = p - 2*v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1, 14, 53, 118, 209, 326?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-129)\/(-21) + 5\/(-35). Let s be (v\/3)\/(-2) - -535. Is 17 a factor of 2\/3*s\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3204 divided by -2?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*k = -30*k + 210 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*r**4 - 6378*r**3 + 3465072*r**2 - 79373622*r - 82845075 = 0. What is r?\nAnswer: -1, 25, 1051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d - 5*d + 3*d - 3*d + 2*d + 0*d + (4*d - 4*d - 2*d)*(0 - 2 + 4) - d + d - d + 3*d - d + 0*d)*(92*d**4 - 44*d**4 - 10*d**4).\nAnswer: -76*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 13916 and 119280?\nAnswer: 834960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dpdpdpdppddppd. What is prob of sequence dppd?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 606 = 10*s + 45*s - 274. Calculate the remainder when s is divided by (30\/(-4))\/(2\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 - 13*x**2 - 32*x - 17. Let b be f(-10). Let l(c) = -10 + 58*c + c**b + 3 - 57*c. Give l(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -48 + 64. Calculate the remainder when 62 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36002 >= -0.102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 5105*d - 1127902. What is q(221)?\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 3) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 30 - 26. Let v = -1 - -5. Suppose h*z = -v*n + 4, 3*n - 36 = 5*z + 7. Solve -25 = d - n*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 417609750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the second derivative of 3*o**3\/2 + 11*o. Let h(g) = 2*g. What is h(t(r))?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 27*s**5 - 43*s**5 - 50*s**5 + (0 - 5 + 3)*(-s**5 - s**3 + s**3).\nAnswer: -64*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.1 + 0.3. Let w = 0.05 - -0.25. Put -2, w, b in descending order.\nAnswer: w, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 10*m**5 + 35*m**4 - 60*m**3 - 130*m**2 + 250*m - 105 = 0. What is m?\nAnswer: -7\/2, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/(-6)*(-84)\/(-63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 + 73162?\nAnswer: 73167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -32.8 + 32.547. Let f = 0.032 + z. What is f rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j**4 + 1718*j**3 + 111243*j**2 + 1710784*j - 1823744 = 0. What is j?\nAnswer: -32, 1, 1781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1434732 divided by 55182?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 130*b**5*v + 15*b**4*v*w**2 + 3*b**2*v*w**2 - 8*b**2*w + 3*b*v - 3*b*w + 2*v*w wrt b?\nAnswer: 7800*b**2*v + 360*b*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -157\/60 and -107\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(325)*-1 + 5 + sqrt(325) + sqrt(325) + 0 + 3))**2*-1 + 3.\nAnswer: -9722 - 2000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k**2 - 8. Let g be n(3). Let i be 2 - (-7)\/((-35)\/g). Let s = -128 - -117. Sort i, s, -5, -2 in decreasing order.\nAnswer: i, -2, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -b8a - -4?\nAnswer: -b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 850 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 + 11*q. Let b be g(-5). Let w be b\/9*(-3)\/2. Suppose -6*m + 5 = -m + 3*j, w*m - 4*j = -30. What is the smallest value in m, -0.5, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 500974, -20, -9 in decreasing order.\nAnswer: 500974, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(180) + (2*sqrt(180)*-2)**2 + 2 + 1*(sqrt(405) - -1*sqrt(405))**2 + 1 + 1 + -2.\nAnswer: 6*sqrt(5) + 4502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2439 + 1642. Let q = j + 1403. What are the prime factors of q?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -75733*l**2 - 96731?\nAnswer: -151466*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 2*s + 1 + (-2 - 2 - 1)*(-6 + 6 - 2*s) as o + z*s and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*a**2 - 2146*a + 612 = 0.\nAnswer: 2\/7, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2158555 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -147, -149, -151?\n\"Answer: -2*d - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2423893 to two dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-160)\/180*((-42)\/8)\/(-7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-165)\/(-924)*7*(-3)\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 + 90*m + 63\/4*m**2 + 3\/4*m**3 = 0. What is m?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 4*h**2 + 11*h + 11. Let a be k(-3). What is the common denominator of ((-1445)\/156)\/(-1) + a\/91 and 41\/66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1433311442 (base 5) in base 15?\nAnswer: 503082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -321*j**2*u + 2*j**2*z - 156*j**2 - 6*j*u*z - 2*u - 917 wrt j?\nAnswer: -642*u + 4*z - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 56\/15, -1\/6, -1\/28, -0.7, 0.09, 2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 15455218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 118\/15 - (25 - 17). Sort p, 1\/4, -16, 4 in ascending order.\nAnswer: -16, p, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 45, 2, 3, 508 in decreasing order.\nAnswer: 508, 45, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -9  (b) -0.4  (c) -426  (d) -32225  (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 401199.\nAnswer: 3, 133733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*u + 3*u**3 + 9*u + 16*u.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 391 + 5*m**3 - 4*m**3 + 4*m**4 - 387 to the form c*m**4 + t*m + i*m**3 + s*m**2 + l and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 + 5*w + 12. Is 18 a factor of l(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkiigiigiikkriiiiri. Give prob of sequence kgkk.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:34 AM and 6:55 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*s**3 - 3611*s**2 - 848*s - 581948777 with respect to s.\nAnswer: 12*s**2 - 7222*s - 848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2080, 2027, 1960, 1873, 1760?\n\"Answer: -y**3 - y**2 - 43*y + 2125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 963 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: Does 97 divide 1354777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -21121\/4  (b) 1210  (c) 4  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17 and 54451?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -860, 2519, 8142, 16003, 26096, 38415?\n\"Answer: -s**3 + 1128*s**2 + 2*s - 1989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 155 = q + 4*u, 5*q + 3*u - 240 - 586 = 0. What is the remainder when 840 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 344862.8 milligrams to grams.\nAnswer: 344.8628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 566747 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 21*j - 4*j - 21*j. Let s(l) = 234*l**2. Determine m(s(t)).\nAnswer: -936*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -590\/123 - -3196\/615. What is the closest to -1\/4 in 38, 3, y, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 126378 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 18778 less than -19747.28677?\nAnswer: -38525.28677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1503*m**5 - 22*m + 25 wrt m?\nAnswer: -30060*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/11  (b) 2  (c) -1033818  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 - 1)*(-4*a**5 + a**5 - a**5 + (-1 + 2 + 0)*(a**5 + a**5 + 0*a**5) + (0*a**2 - 4*a**2 + 5*a**2)*(-a**3 - a**3 + a**3)).\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - (-17 - (-1 + -10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(-1))\/(2*3\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 - 8*c**2 + 10*c. Let k be h(7). Let r = 21 - k. Solve r = 5*i - 16 - 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 o when three letters picked without replacement from jhjojjjjojjjrjo?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = 2*g - 51, 0*g - 2*r + 78 = 4*g. Suppose -2 = d - 3. Let n be 4\/g + 7\/9 + d. Solve n*p + 12 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -14*a + 3. Let q(h) = -h**2 + 15*h + 54. What is q(n(v))?\nAnswer: -196*v**2 - 126*v + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -5*w**2 - 4*w - 8. Give t(3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:13 PM and 1:24 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 (base 10) in base 11?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2088 and 6525?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -2\/23  (b) -102  (c) -0.5  (d) 3\/31  (e) -4  (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -108588117 divided by 9871647\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81 + 29 - 14*y + 27 + 26.\nAnswer: -14*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 4*l**3 - 1 - 8 - 6*l**3.\nAnswer: -2*l**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 699 is divided by 88?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 5, 3, -63, -2, -14 in ascending order.\nAnswer: -63, -14, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11743 = 286*a + 73*a + 106*a + 3838 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 3, 4, -30?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4326077 + 13?\nAnswer: 432608a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.1 + -1.3. Let i = 6.09 - 5.79. Sort c, 1\/5, i in decreasing order.\nAnswer: i, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 376719*y - 376791*y + 1800 = 0 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 18453306 divided by -74\nAnswer: -249369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2\/3*s**2 - 34*s - 96 = 0.\nAnswer: -48, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/6)\/((-2)\/6). What is the nearest to 4\/3 in n, -3, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 - a**2 + 2*a + 24. What is m(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.02 - -0.02. Let l = -1.04 - -1. Let h = 0.26 - l. What is the third biggest value in 5, y, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 6.22894 from 240.29.\nAnswer: 234.06106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2816*j + 5584. Determine a(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1965973 is divided by 655312.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 97.76046l to millilitres.\nAnswer: 97760.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*u = -p - 2*u + 5, -10 = 160*p - 162*p + 9*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.5 + 2.5. Let k be 52\/(-3) + (-275 - -292). Put k, -2\/7, z, -0.2 in ascending order.\nAnswer: k, -2\/7, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 910 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: Solve 2*z - 488 = -536, -3*y + 5*z = -126 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2369285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 9*m**2 - 39*m + 9. Give q(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25203 (base 13) to base 5.\nAnswer: 4142243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 AM and 11:05 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 88736 (base 11) in base 6?\nAnswer: 2431354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -59*i - 584. Let g be j(-10). Let a(t) = 5*t**2 - 29*t - 1. Determine a(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-3 + 1 + -3 + -1 - 3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 516 = 2*g, -11*n + 1054 = 4*g - 14*n. Does 43 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 3*k = 4*l + 6, 2*k = -4. Is -1 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 110 = -2*d, -3*d - 7*f + 165 = -3*f. What is the greatest common divisor of 33 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*a + 21*t = 49*a - 21*a - 7, -2*a + 71 = 57*t for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the first derivative of -s**3\/3 + s**2\/2 + 5*s - 713. What is o(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (16\/(-20))\/(19\/114 + 214\/(-60))\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -146*v - 28. Let k be h(-14). Suppose -5*j = 3*l - 2016, k = 3*l - 6*j + 5*j. Suppose s - l = 107. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(-5)*2\/(-2)*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/2*((-644)\/(-115))\/(-18*24\/160).\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.7, -0.2, 2\/331?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1122 (base 4) in base 11?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 27169309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*n - 2002 = -14*n + 2*n. Calculate the highest common divisor of 363 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4146 + 4154 + q - 8300.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -365*r - 326*r + 692*r - r**3 + 436*r**2 - 2 to the form y*r**2 + c + v*r + p*r**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -9*d - p + 90, -2*p - 90 = -5*d. Let b(c) = -c**3 + 2*c**2 - 2*c - 1. Let s be b(2). Let f = d + s. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -157090 divided by 31418.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 1 - 5)*(3 - 1 + 0) + 5 + 2 - 1)*(131*s - 98*s + 96*s).\nAnswer: 258*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -q**2*u**2 + 23*q**2*u - 60*q*u - 3*q + 17634*u**2 with respect to q.\nAnswer: -2*q*u**2 + 46*q*u - 60*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -146 * 223\nAnswer: -32558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 443622.6 centuries to millennia.\nAnswer: 44362.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.5 - 1.5. Let h = 69\/266 - -1\/38. Let o be (-96)\/189 - 2\/(-7). What is the nearest to h in o, j, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -23 - -19. Let n = -31 + 24. Let l(a) = -3*a. Let g(i) = 2*i. What is h*l(k) + n*g(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45155175 divided by -5.\nAnswer: -9031035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2481 divided by -17.\nAnswer: -2481\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 3*v)*(-4*v**4 + 0*v**4 + 2*v**4) - 539*v + 27*v**5 - 459*v + 9*v**5 + 976*v + 2*v**4.\nAnswer: 30*v**5 + 2*v**4 - 22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d**4 + 0*d**4 + 0*d**4 - 3*d**4 - 3*d + 3*d - d**4 - d**3 + d**3 + (d**2 + 0*d**2 - 3*d**2)*(-2*d + 2*d + d**2) + 3*d**4 - 4*d**4 - d**4.\nAnswer: -10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -9231.226329 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10099 - -179. Let d = m - 123461\/12. Let g = -130987\/24 + 5461. Find the common denominator of d and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from scscssssccscsssssss. Give prob of picking 2 s.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/(p*p**0*p*p))**(8\/7)*((p\/(p**4*p))\/p)\/((p\/p**(1\/4))\/p) assuming p is positive.\nAnswer: p**(-165\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 464131?\nAnswer: 464131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -s + 4*g - 2, 2*g = -3*s - 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a kilometer in meters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12.664 + 13.164. Let u = 3 + -3.2. Which is the third biggest value?  (a) -15  (b) u  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5058854412 to the nearest integer?\nAnswer: 1717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 286*m**5\/9 - 1426*m**4\/9 - 12032*m**3\/9 + 17104*m**2\/3 + 6944*m + 96 = 0. What is m?\nAnswer: -6, -1, -2\/143, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6964*u**2 + 7897188*u + 13608.\nAnswer: 4*(u + 1134)*(1741*u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 8*b**5\/3 + 1441034*b**4\/3 - 83520322*b**3 + 3618325650*b**2 + 909808938*b = 0.\nAnswer: -180303, -1\/4, 0, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 132958*u**3 - u**2 + 2*u - 1. Let d be m(1). Let r = d - -24042. Round r to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -294030000 to the nearest one million.\nAnswer: -294000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.04 + 2.96. Let d = -1176 + 8236\/7. Let i = 3.8 + 0.2. Which is the closest to -0.1?  (a) i  (b) k  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -d1 (base 15) to base 9\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1713 - 32556\/19. Let q be 5 + -3*549\/228. Let g = q - y. Is g equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 328201 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*q**2 - 54*q**2 + 13*q**2 + 17*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3597 is divided by 150?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 174278 a multiple of 440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 89.81 + 1.19. Let l = i - 131. Let w = l + 39.9999916. What is w rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, -33, -64, -105, -156?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 58591 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**2 + n - 119. Let i(a) = 352*a - 8. Give i(s(d)).\nAnswer: -352*d**2 + 352*d - 41896","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 5 - (14 - 14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qghl when four letters picked without replacement from {h: 1, g: 2, l: 3, q: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3*1 + (0 - -6). Let n = -1 - v. Let i = n + 10. Is i not equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2 + 4*g + 7. Let u be d(4). Suppose 0 = -2*q + u*q - 200. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 117\/14 and -1\/12824256.\nAnswer: 89769792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 41*l + 375. Calculate b(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -33 - -32.65. Let c = k - 1.65. Is 3 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*x**2 + 16 + 506*x**4 + 270*x**5 + 27 - 506*x**4 wrt x?\nAnswer: 16200*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.6, 1\/546, -25\/4, 5.8, -1.\nAnswer: -25\/4, -1, 1\/546, 0.6, 3, 5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -18\/43, -12\/7, 8, 0?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/5 of a century in years?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (341*w - 638*w + 298*w - 174*w**2)*(5*w + w**2 - 5*w) to u*w + a*w**3 + q*w**4 + j*w**2 + t and give q.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-113*b - 111*b - 6 + 221*b)*(5 - 6 + 21)*(2*b - 5*b - 4*b) to the form u + a*b**2 + m*b and give a.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/2220 and 13\/18.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 5, q: 8}. What is prob of picking 2 x?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -441555214 - -1?\nAnswer: -441555213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 77214679 to the nearest integer?\nAnswer: 8787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 314 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7152 + -7152. Solve -4*d + 5*f + 31 - 47 = i, 0 = 5*f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 2*m**2 - 2*m + 3. Let b be 4*6*1\/(-8). Let d = b + 8. Is h(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 2*k + 18, 0 = -5*v + 4*v + 2*k - 12. Let h = -16 + 17. Is (v\/(-9) - h)*-33 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that h**2\/5 - 263*h\/5 + 5302\/5 = 0.\nAnswer: 22, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*((-10)\/14)\/((-52)\/182).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 684.7531 to the nearest integer.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3740923 is divided by 748167?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 860185 + 4047215. Round m to the nearest ten thousand.\nAnswer: 4910000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -3*k - 126, -4*n - 110 = n - 5*k. Let d = -12 - n. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1535340 is divided by 9092.\nAnswer: 7884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 206*g - 108. Let f(u) = 69*u - 38. Calculate 17*f(b) - 6*n(b).\nAnswer: -63*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -110\/23 - -949\/184. Let u(t) be the third derivative of p*t**3 + 1\/320*t**6 + 0*t - 15*t**2 - 5\/64*t**4 + 0 - 1\/80*t**5. Suppose u(f) = 0. What is f?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((684\/96)\/19)\/(6\/4)*-3.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 22594.9 times 5?\nAnswer: 112974.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 5*r + 90 = 0, -3*d + 2*r = d - 106. Calculate the remainder when d is divided by (-87)\/(-12) - 6\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 639316 minus 22362027.4?\nAnswer: -21722711.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 + 26 = -5*y - 22 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -11c155 (base 13) in base 3?\nAnswer: -210122222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r**2\/4 - 570993*r\/2 + 326033006049\/4 = 0. Calculate r.\nAnswer: 570993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = 3*m - 1, k + 2*m + 2 = -2. What is the third derivative of 4*s**k - 2*s**2 + s**6 + s**6 wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22 + 49. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 - 20*w - 15. Does 62 divide s(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18058 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13, 46, 103, 190, 313, 478?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -9*x**2 - 6*x - 13. Let s(v) = 20*v**2 + 12*v + 27. Let k(w) = 13*m(w) + 6*s(w). Let c(t) = -t - 2 + 3 - 2. Determine 6*c(y) - k(y).\nAnswer: -3*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -6314, -7944, -9574, -11204, -12834, -14464?\n\"Answer: -1630*d - 4684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 3*l. Let o(p) = -5*p**2 + 2419*p. Give j(o(k)).\nAnswer: -15*k**2 + 7257*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 1879*b + 10052. Calculate z(-5).\nAnswer: 657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2385*s**2 - 223315500 + 3\/2*s**3 + 1264050*s.\nAnswer: 3*(s - 530)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 times 0.364?\nAnswer: 6.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75020 (base 11) to base 16.\nAnswer: 1aa6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from inuodoinni. What is prob of picking 3 o and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 296 + -284. What is the least common multiple of 1038 and x?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 189781160 divided by 2?\nAnswer: 94890580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*p**2 - 1 - p**3 - p**3 - 2*p + p + p**2 + 3*p**3 as z*p**2 + u*p + r*p**3 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 - 20*a**2 + 24*a - 19. Let l be q(19). Let p(x) = -34*x**2 + l*x**2 - 41*x**2. Let b(w) = -18*w. Calculate p(b(m)).\nAnswer: 324*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1498 + 10484\/7. Which is the smallest value?  (a) -12.6  (b) 1  (c) 2\/9  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -6*q - 5. Let u = -8 + 4. Let t(s) = 0*s + 3*s + 2 + 4*s - 6*s - 1. Suppose -2 - 2 = 4*v. Determine u*t(m) + v*j(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, k: 1, u: 4, e: 7, m: 1}. Give prob of picking 2 e and 1 m.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and -4557 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n**(-1\/2)*n)*n)\/n)\/n*n)\/n**(-10)*n**(-4)\/((n\/(n**(6\/11)\/n))\/n) assuming n is positive.\nAnswer: n**(133\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46385 - 57*b - 39*b - 46386 + 4*b.\nAnswer: -92*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1302 by -434.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i**(3\/2)*i**(-6\/5)\/i)\/(i*i\/(i**0*i))**9 assuming i is positive.\nAnswer: i**(-77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2322238661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-712)\/(-12) + 2\/3. Suppose 0*j + q = 3*j. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/(-14))\/((-3)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 870668?\nAnswer: 2, 217667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2139.4 + -2148.4. Suppose 3*l + 6 = -0. Let z be 6\/45 + l\/(-3). Which is the third biggest value?  (a) 5  (b) z  (c) 3  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 1368550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -12.01 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*a - 16 = 7*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1064)\/980)\/(-38)*-7. What is the biggest value in h, 265, -3, 1\/9, 0.07?\nAnswer: 265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6967408 micrometers in centimeters?\nAnswer: 0.00006967408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeuu. What is prob of sequence eee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 197*b - 3511 - 1726 = 279 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -837*c**2 - 85379*c - 529. Give f(-102).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m. Let r = -4 + 9. Let y(d) = -5*d - 3*d - d - r*d. What is y(f(j))?\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 480996.2037 plus -2?\nAnswer: 480994.2037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9113188 weeks in hours?\nAnswer: 153.1015584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (1\/(-7 - -8) - 18\/(-5))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 120 and 210390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/((-17)\/((-1309)\/(-22))))\/(90\/48 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -2*k**2 + 39588120*k + 39588122 = 0.\nAnswer: -1, 19794061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 30.01, 4, -4, 0.06, -33, 2.\nAnswer: -33, -4, 0.06, 2, 4, 6, 30.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 + 3 - g - g**2 + g**2. Let n be s(0). Find the second derivative of -n*r + 2*r - 6*r**4 + 5*r**4 - 2*r**4 wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 141968?\nAnswer: 2, 19, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 98619 and 994.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 18*g**2 + 3*g. Let v be (-52 - -50)*49\/2. Let a(q) = -287*q**2 - 49*q. Determine v*d(f) - 3*a(f).\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 750\/21 + (-8)\/(-28). Let x = 66 - c. What is the greatest common divisor of 510 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2 + 21*z + 117. Let d be j(-12). What is the highest common divisor of d and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -191*r**2*t**3 - 168161*r**2*t - 8*t**3 wrt t.\nAnswer: -1146*r**2*t - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 0 - 2*i**4 + (-5*i**3 + 175*i - 175*i)*(1 + i - 1) in the form j*i**2 + m*i + l*i**3 + h*i**4 + f and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.3  (b) 0.22  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2\/5 - 102061*b\/5 + 102062\/5.\nAnswer: -(b - 1)*(b + 102062)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 8*d. Let l(z) = 54*z. Give l(h(s)).\nAnswer: 432*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (58 - 64) + (-2 - -3) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 24 = 66. Suppose -2*w = -5*l + 24, -3*l + w = l - x. Solve -4*t = 3*b + 8, -l*t + 9*t = 3*b - 37 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 + -7. Suppose 12 = i*w, -5*w = -0*r + 2*r + 326. Let n = -80 - r. List the prime factors of n.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1968, -1694, -1410, -1110, -788, -438, -54, 370?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.3 - 0.7. Let w = m + -1.4. Let c = 1.7 - w. What is the nearest to -1 in -1, c, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1573) + 4)*-2 - (3 + sqrt(1573) + -5)) + 4 + -2 + 5*(sqrt(1573) + sqrt(1573) + -2))**2.\nAnswer: -2156*sqrt(13) + 77273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1032*o = 4*h + 1037*o - 7, 2*h - 5*o - 11 = 0. Sort 0.29, h, 0.4, -1, 2.1.\nAnswer: -1, 0.29, 0.4, 2.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * 690.\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(90) - -1*(sqrt(90) - -1*sqrt(90) - sqrt(90) - sqrt(90)))\/(sqrt(12)\/(sqrt(4) - sqrt(4)*3)))\/(-3*-6*(sqrt(360) + -3*sqrt(360))).\nAnswer: sqrt(3)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - 3. Let j = z - 0.9. What is the nearest to -2 in 6\/7, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**3 + 5*z**2 + 2*z - 5. Let a be i(-4). Suppose 230000 = -2*l - a*l. Round l to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = -4*d + 6, -d = -4*d + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -39*g + 84*g - 47*g - 132 to the form n + f*g and give n.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + 72 = -5*j + 21, 7*j - 7*j + 4*v + 12 = -2*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/((-15)\/12)*(-26805)\/(-7148).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1507223 years to millennia.\nAnswer: 0.0001507223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 - 5*m - 5. Let j be v(-4). Let s = -1.95 + -0.05. Let u = 0.1 - 2.1. Which is the closest to u?  (a) s  (b) j  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -1250*r**2 - 300*r - 18 = 0. Calculate r.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3024, -2\/13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - 2*u + (2 - 2 - u)*(2 - 1 - 3) + 3*u + u - 5*u - 3*u - u + u + 64 - 64 + 10*u + (-3 + 4 - 3)*(0*u - 5*u + u) + 3*u + 0*u - 4*u - 3*u + 0*u + 2*u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (48\/15)\/(2\/15). Suppose 0 = -z + 3*z - b. Suppose 3*v - z = 6*v, 4*r = 2*v - 4. What is the second smallest value in 3\/4, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 2789 = 4*u - 3*h, 4*h = -2*u + 1422. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -1 + 8*r**2 + 1 + 7*r. Suppose 2*m - 8 + 12 = 0. Let w be (-4 - -1) + (-5 - m). Let j(d) = -17*d**2 - 15*d. What is w*j(b) - 13*i(b)?\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**3 + 8*b**2 + b + 2. Let p be j(8). Let y = -8 + p. Solve 5*x - y*x = -6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.058*465\nAnswer: -26.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/(-6))\/(-4*3\/18). Let a = -1530 - -1526. Let y = 0 + 3. Sort y, o, a.\nAnswer: a, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26.07191626 - 82333\nAnswer: -82359.07191626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-6))\/((-8)\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 18 + 15. Let h be 74 + 5 + -1 + u. Calculate the common denominator of -29\/7 and (-1)\/6 - (-305)\/h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -213733, -213736, -213739, -213742, -213745?\nAnswer: -213748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 2388750.\nAnswer: -2388745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 - -1)\/6*-6. Let b(f) = f**2. What is b(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12 - -5) + 10 + (-4287)\/10. Let b = 2666\/5 + d. What is m in -b*m**3 - 5 + 50*m**4 + 60*m**2 + 5\/2*m = 0?\nAnswer: -1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 2*r - 22, 4*o = 6*o - r + 14. Is (-2)\/o - 2992\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19458 or -19472?\nAnswer: -19472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2046 - 106*y**2 + 2046.\nAnswer: -106*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 80*k + 0 - 56*k - 26*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3961883632?\nAnswer: 2, 7, 37, 61, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 4*m + 64 = 0, 381*s + 4*m - 73 = 380*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.647114km in micrometers?\nAnswer: 8647114000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -933174311063\/97614 - -2773167742\/261. Let v = 1065322 - c. Let w = 94\/17 + v. What is the common denominator of w and 59\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x + 8396*x**5 - 8215*x**5 - 3*x + 0*x - 3*x**5 + 0*x + 2*x**5 - x**5 - 3*x**5 + (-1 + 1 - 3*x**4)*(2 - 2 + x).\nAnswer: 173*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes after 10:36 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57089*t**2 - 28547*t**2 - 28549*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yhyy when four letters picked without replacement from {y: 3, h: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 335136, 335141, 335148, 335157, 335168?\nAnswer: 335181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12.3 - -18.2. Let y = l - 6. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -2, -2*t - 3*t + 4*f + 11 = 0. Is 2 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 s when three letters picked without replacement from {d: 1, v: 1, w: 1, s: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.05, 1\/12, 0.13, 97\/136, 14?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -57, 2666343, 1, -1 in ascending order.\nAnswer: -57, -1, 1, 2666343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -69 + 67. Sort -1, l, 4.\nAnswer: l, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 35 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*r**2 - 575*r - 581*r + 1701*r + 2 - 568*r.\nAnswer: 38*r**2 - 23*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97140 is divided by 2793.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v - 171 + 96 - 273 - 2*v + 2*v.\nAnswer: -v - 348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k. Let d(u) = -14*u - 6. Let b(c) = -5*c - 2. Let p(z) = 17*b(z) - 6*d(z). Let o(g) = 3*g - 5. Let w(v) = 4*o(v) + 10*p(v). What is w(s(f))?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**2 - 3*b - 5. Determine l(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 753 = 25*m + 803. Sort 1, 3, 9, m.\nAnswer: m, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o + 10*o - 17 = 0. What is the tens digit of (-10 + -4)\/(o\/(-22))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6018 - -6023. Calculate the remainder when 285 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -s**2\/10 + 39*s\/10 + 126 = 0.\nAnswer: -21, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 455 - 454.771. Let j = v - 0.329. What is the closest to -4 in 6, 2, 0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + (13 - 85 - -55).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.266 + 0.326. Let u = -25 - -20.6. Let m = n - u. Round m to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 255 + 256 - 52*f - 746 + 233. Let z(x) = x. Give -h(s) - 3*z(s).\nAnswer: 49*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 47 + -9. Suppose -75*n - 1500779 + 1507154 = 0. Calculate the remainder when n is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-23)\/(-21) + (-1)\/3 + 82\/(-123).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes before 2:24 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19175.\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 - 28*w**2 + 28*w - 27. Let l be s(27). Put l, 4, 1, 2 in decreasing order.\nAnswer: 4, 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 - 1. Let d = u + -6. Suppose -r = r - d. Solve 10 = r*h - 7*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.3 + 0.2. Let h(w) = 10*w - 7. Let p be h(1). Let t be -3 - ((-17)\/2 + p). Sort a, 0, t.\nAnswer: 0, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**(4\/9))\/i**(-15))\/((i\/(i\/(i\/(i*i**(2\/3)\/i)*i)))\/i*i*i*i*i**7) assuming i is positive.\nAnswer: i**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34 and 21605742?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 48137863 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -251048\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.132 - 1.11976. Round j to four dps.\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -224110 + -10?\nAnswer: -224120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1026 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 5957.866 kilometers?\nAnswer: 5957866000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 75920 + 286575 = 0. Is z 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 1:10 PM and 2:00 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i + 1. Let o be x(9). What is the greatest common factor of 20 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 412?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-31)\/(20646\/(-259)) + (-14)\/12 + (-32)\/(-64)?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 4*g = 6*z - 5072, 0 = -3*z - 2*g + 3819. What are the prime factors of z?\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 530 and 385310?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -36 - -52. Suppose -t + d = 3*t. Suppose k - 2*p - t = 0, 4*p - 19 = -k + 3. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 34\/1191 and 9\/2779?\nAnswer: 8337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14196 + 21973. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = j - 4*q, -26*q + 30 = 5*j - 22*q. Let y be -2*(13\/2 - j). Sort 0, 13, -5, y in descending order.\nAnswer: 13, 0, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 + 5*h**2 - 8*h - 9. Let g be n(-6). Suppose 132 = g*d + d. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -47*x + 979372 + 380103. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, o: 3, d: 4, y: 2}. Give prob of picking 2 d, 1 y, and 1 o.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 136402897?\nAnswer: 136402897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 + -10. Suppose i = 3*h - 23 - 7, h = -r*i. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1253 = -117*s - 434. Let o(f) be the second derivative of -21*f - 9\/2*f**3 - s*f**2 + 0. Find the first derivative of o(l) wrt l.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/16)\/3*(-8)\/(-29).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, x: 1, w: 2, m: 4, h: 6}. What is prob of picking 2 o?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -832 - -6659\/8. What is the second biggest value in 3, w, 1\/4, 82?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -41127, -164414, -369863, -657474, -1027247, -1479182?\nAnswer: -2013279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/5)\/(1\/(-5)). Suppose 0 = -o*i + 2*x + 404, 0 = -2*i - 2*x - 23 + 219. Round i to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*y + 5*x - 40, -2*y + 3*x - 19 = -0*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - (35 + -18)) + 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -339 by -14.\nAnswer: 339\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1231003123 (base 5) in base 15?\nAnswer: -3de5ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -287175.2 and 0.5.\nAnswer: -143587.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -5*f - 19. Let b(q) = -9*q - 39. Let g(j) = -2*b(j) + 5*l(j). Calculate the least common multiple of g(-5) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 229852034 bigger than 229852033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 7*b**2 + 9*b - 15. What is m(2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:29 AM and 7:57 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1155 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 2 - 2)*(6 - 9 + 7)*(0*v + 0*v + 7*v**2) to the form m*v + x*v**2 + u and give x.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 807627411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 4*y**2 - 2*y - 13. Let t be z(-4). Suppose g - 2*g = a + t, 268 = -4*a + 4*g. Let d = a + 123. What is the remainder when d is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(286) + sqrt(286) + (sqrt(286)*2 - sqrt(286) - sqrt(286)))\/sqrt(11)*-3)\/((sqrt(144)*1)\/sqrt(2)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 - (-50 + 34) - -30.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (755\/(-110) - -7)\/(2\/(-21)) and 83\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12306015 divided by 2461203.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 88562.41ml in litres?\nAnswer: 88.56241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*l + 263 = -78 + 152 - 307 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -130032 - -1121?\nAnswer: -122311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 25 = 0, 0 = -5*f - 2*r - 0*r + 40. Let k be (-1 - -182)\/(8\/6*94\/376). Suppose f*g = -87 + k. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*f + 0*f + 3*f)*(-7*f + 5*f - 10*f).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6010.015 + -6025. Round j to 1 decimal place.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 75396000 to the nearest 100000.\nAnswer: 75400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(352))\/(sqrt(396) + sqrt(396)*-3 + sqrt(396)))**2 + -3.\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (37 + 266)\/(9\/15). Suppose 463 = -14*i + z. Solve -21 = -3*k - i*l - 0*l, 29 = 3*k + 5*l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9493.694 millilitres to litres.\nAnswer: 9.493694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -3347\/71 > -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 4640490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1485*l**4 - 156 wrt l.\nAnswer: -5940*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2505 is divided by 2504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -314 (base 15) in base 14?\nAnswer: -378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 + 8*o**2 - 7*o + 6. Let y be j(7). Suppose 0 = 5*l - 2*s - 44, -10 = y*s - s. Calculate the smallest common multiple of 2 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14*c**2\/5 - 34324*c\/5 + 9808\/5.\nAnswer: -2*(c + 2452)*(7*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 5, l: 2, x: 9}. Give prob of picking 1 x and 2 l.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (35 - 9*s**2 + 29 + 7*s**2)*(-3*s**2 - 2*s**2 + 2*s**2).\nAnswer: 6*s**4 - 192*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 - -7. Let o(p) = -3*p + 3. Suppose -41 = -5*l - 4*y, y - 4*y = -2*l - 2. Let b(r) = 4*r - 4. Let m(z) = l*b(z) + 6*o(z). Calculate m(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -174734, -174773, -174810, -174845, -174878, -174909, -174938?\nAnswer: -174965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-12)\/(2\/8 + (-29 - -28)). Calculate the greatest common factor of 20 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(3) - sqrt(30)\/sqrt(10)) + -5 + (sqrt(21)\/sqrt(28) - -5*(2*sqrt(3))**2).\nAnswer: sqrt(3)\/2 + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -19881 and 5?\nAnswer: -99405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 268 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0044786877 to five dps.\nAnswer: 0.00448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17023, -17184, -17421, -17710, -18027, -18348, -18649, -18906?\nAnswer: -19095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 38 = -2*j + 5*r, 4*j - 4*r - 20 = 0. What is the second smallest value in -1\/2, 2\/11, j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 500807831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) - (-3*sqrt(66)*-2 - sqrt(66)))\/(sqrt(60)\/(1*sqrt(10))) - (2*1*sqrt(88))\/(sqrt(56)\/(sqrt(7)*2)).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34, 0.3, -3\/4, 5 in increasing order.\nAnswer: -3\/4, 0.3, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-2) + (0 - 60). Let f(n) = n**3 - n + 151. Let u be f(0). Let v = u + z. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 37090057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18.8 - 19. Let h = -11 - -7. Sort -1, h, w in descending order.\nAnswer: w, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -4*r + 21. Let x(j) = -j**3 + 12*j**2 + 28*j + 13. Suppose -u - 4*u = -155. Calculate the remainder when u is divided by x(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -24*x**2 - 1 + 7 + 41*x**2 + 2 + 2*x. Suppose -3*n - 16 = -5*k, -5*n + 2*n + 9 = 0. Is s(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12898.4 rounded to the nearest 10?\nAnswer: -12900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -255, -362, -3, -5, -10 in increasing order.\nAnswer: -362, -255, -10, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 75*k**3 - 6*k - 6. Let n(a) = -75*a**3 + 7*a + 7. What is -7*c(s) - 6*n(s)?\nAnswer: -75*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) + 1*sqrt(153))*4)\/(sqrt(36)\/(sqrt(4)*3 - sqrt(4))).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 38068 bigger than 38068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -215*m + 1075348 + 61811 = 186429. Is m a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g + 17. Let l be d(-15). Let w(o) = 2*o**2 + 79*o + o**l - 22*o + 6*o**2. Let r(x) = -x**2 - 7*x. Calculate 33*r(z) + 4*w(z).\nAnswer: 3*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1179 + -1178.6. Let v = -13 + 14.2. What is the nearest to 2\/7 in 2\/11, v, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 540 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1043, 1644, 0, -32, -5 in increasing order.\nAnswer: -32, -5, 0, 1043, 1644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 + 5*a**2 - 9. Let b be h(-4). Is -10*((-16702)\/4)\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from {k: 1, r: 2, e: 4, v: 3, g: 2, h: 6}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of -9*x**5\/5 - 3*x**2 - 18. What is the second derivative of b(d) wrt d?\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -145861*(-3 - -6)*18\/(-34 + -20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5.5 + -4. Let f = d - 1.57. Let b = -0.07 - f. Which is smaller: b or 6\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -4, -0.07, -390?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (374\/165*-5 + 11)*0 + (-10)\/90?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 2 = -2*b. Solve b = l + 7, -4*z - 4*l = 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 - (5 - 0)) + 5. Let f be k\/(1 - -1)*1737\/(-18). Let w = 319 + f. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4056 divided by -26?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 33 - 21204221300?\nAnswer: -21204221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2983656, -5967443, -8951230, -11935017, -14918804, -17902591?\nAnswer: -20886378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence guta when four letters picked without replacement from hhhaaaghtug.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2579.8678 and -25.2.\nAnswer: 2554.6678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 30783 + -29234. Solve 0 = 10*n + o - 1639 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 20634976?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, -6, -5, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 115812 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 17*m - 130 = 0, 337577*i = 337577*i - 3*m + 6 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*3 + (-1 - -105). Let x = c + -59. Factor 96*n - 80 + 44 + 20*n**2 - 42*n**2 - x*n**2.\nAnswer: -4*(4*n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5 - 3 - 1)*(-3 + 5 - 4) + 7583 + 3883 - 648 - 2460)*(-r - 2*r + 4*r).\nAnswer: 8356*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 3*d = -6*d - 21, 4*a = d + 16. Suppose 19*q - p = 15*q + 263, 3*p + 9 = 0. Let i = a + q. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**4\/2 + 802*j**3 - 1603*j**2\/2.\nAnswer: -j**2*(j - 1603)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 - 48*d**2 - 216*d - 37. Calculate v(-43).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 - l**2 + 5*l + 6. Suppose 5*j = -p + 26 + 7, 0 = -p + 2*j + 5. Let x(k) = -2*k**2 + 28*k - 30. Let o be x(p). Calculate f(o).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w**3\/5 - 13528*w**2\/5 - 27253898*w\/5 - 17194454172\/5 = 0.\nAnswer: -3726, -1519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 35998307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/7*p**3 + 6\/7*p + 0 + 4\/7*p**2.\nAnswer: -2*p*(p - 3)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (-3 - -1 - (7 - 10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uoy when three letters picked without replacement from {y: 3, u: 2, o: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1265, -2529, -3793?\nAnswer: -5057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 12400\/2139 + 5\/(5\/(-6)). Are -1 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -2, 0, 3, 11 in increasing order.\nAnswer: -7, -2, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2229*h - 18 - 2232*h + 4458*h)*(-7*h**2 + 8*h**2 - 2*h**2) + h**3 + h**3 + 0*h**3.\nAnswer: 5*h**3 + 18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -157864, -315732, -473602, -631474, -789348, -947224?\n\"Answer: -j**2 - 157865*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 + 4*j - 13. Determine i(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -3*c**2 - 4*c + 1. Let n(g) = 16*g**2 + 21*g - 5. Let r(a) = -11*m(a) - 2*n(a). Suppose l - 3*l = -8. Suppose l = -3*z - 2. What is r(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/1221 in -2, 2, -0.03, 0.2, -5, -186\/11?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -889.1 - -928. Let s = 39 - k. Let m = 18\/185 - -4\/111. Which is the nearest to -1\/3?  (a) -0.4  (b) s  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 177, 352, 523, 690?\n\"Answer: -2*y**2 + 181*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u - 2*u - 5*u)*(-39 - 4 - 14).\nAnswer: 342*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -96099, -192199, -288299, -384399?\n\"Answer: -96100*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10490, -10491, -10492?\nAnswer: -10493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + -4 - -1 - (-406 - -370).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 z when three letters picked without replacement from {p: 9, t: 3, z: 4}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2\/5 + 725714*s\/5 - 1451408.\nAnswer: -(s - 725704)*(s - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Do 1\/4 and -157.7344 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r + 15. Suppose -2*u - 3*p = 7, -5*u + 5*p + 52 - 7 = 0. What is the remainder when l(0) is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 + 5*q**2 - 13*q - 4. What is z(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the third derivative of r**4\/3 - r**3\/2 + 2*r**2. Let a = -6 - -11. Is 16 a factor of h(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.759 - 1.462. Let a = 0.208 + b. What is a rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 2. Let o = x - -4. Find the first derivative of -o*c - 11*c - 17 + 14 wrt c.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/(-14))\/(45\/(-63)). Which is the nearest to 2?  (a) 0.3  (b) x  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 319890 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, 0, 1, 3, 18 in decreasing order.\nAnswer: 18, 17, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -11*z**2 + 3*z + 5. Let k(v) = 74 - 141 + v + 68 + v**2. Let o(x) = c(x) - 4*k(x). Determine o(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130380 + 35942 = -2371*v + 59*v - 41758 for v.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -173, 7, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/17532 and 93\/21428.\nAnswer: 192852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.03702 - 5.61.\nAnswer: -5.57298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 PM and 6:42 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 57, 8 in ascending order.\nAnswer: 2, 8, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 6*t**2 + 13*t + 3. Let b(x) = -3*x**2 - 7*x - 4. Let q(s) = -5*b(s) - 2*k(s). Does 2 divide q(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*s - s - 35. Let n(a) = -a**3 + 6*a**2 + 8*a - 4. Give n(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*h + 4*h = -2*k + 28, -3*k = 4*h - 32 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, -1, 143 in increasing order.\nAnswer: -5, -4, -1, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(17) + -1)*-1)**2*-2.\nAnswer: -36 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -84365\/18 + 4687. Let c(t) be the second derivative of 0*t**2 + 0 - 10*t + 1\/9*t**3 + l*t**4. Let c(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -30, -35, -50, -81, -134, -215, -330?\n\"Answer: -m**3 + m**2 - m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 3*z - 6, -1 - 5 = -2*t. Suppose -5*u - c = 11, -3*u + 7 = -z*u - 3*c. Let a(v) = 3*v. Determine a(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 486165 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 8:52 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22995 is divided by 3884.\nAnswer: 3575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**2*r*r)\/r)\/(r*r*r\/(r\/(r\/(((r*r*r\/(r*r*r\/r**1)*r*r)\/r)\/r))))*r*((r**(4\/7)*r)\/r)\/r*(r**5*r*r)\/r*r assuming r is positive.\nAnswer: r**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10\/67 in -0.15, 0, -3, 1?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3077368?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.005 - -0.095. Let q = 2 - -2. Which is the second smallest value?  (a) u  (b) 1\/4  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5760*v**4 - 19512*v**2 wrt v?\nAnswer: -138240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 + 1706?\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k - k - 2*k)*(0 + 0 + k**4) + 251*k**3 - 3*k**5 - 1 + 2 - 250*k**3.\nAnswer: -4*k**5 + k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.92 - 3.08. Let g = 0.011 - 0.111. Which is the nearest to g?  (a) 18  (b) -3\/4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) -53  (b) 0  (c) 0.13  (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -3  (b) 5  (c) -0.4  (d) -3.47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18449 and 28159?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 213, 220, 237, 270, 325, 408, 525?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -2 - (8 + -5) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -0.5, -1, -3, -17, -1\/5 in descending order.\nAnswer: 0.2, -1\/5, -0.5, -1, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 2*a**3\/5 + 2394*a**2\/5 + 35420*a + 509808\/5 = 0?\nAnswer: -1118, -76, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -139.12232865 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -21 - 1323?\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*j**2 + 3*j**2 - 7 - 15*j**2 + 7*j as p + w*j**2 + f*j and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0, -5\/2, 1, 1\/168?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = g - 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 566650.9 weeks in days?\nAnswer: 3966556.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + ((-508219)\/336 - 2\/(-7)). Let p = -6053\/4 - g. Calculate the common denominator of -37\/30 and p.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 852775 divided by -25.\nAnswer: -34111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -243 - -249. Let r(i) = i**3 - 5*i**2 - 6*i + 8. What is r(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7700259?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83*y - 87*y = g + 17, 3*y + 7 = 5*g. Is 4\/3407 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-7140)\/3234)\/85)\/(44\/605)\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 11*c**2 + 3. Let f(x) = -x**3 + 1. Let n(o) = -3*f(o) + s(o). What is the third derivative of n(q) wrt q?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -7, -56, -181, -418, -803, -1372?\n\"Answer: -6*s**3 - 2*s**2 - s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 - 8*s**2 - s + 10. What is the units digit of o(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25368075?\nAnswer: 3, 5, 31, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*y - 4595 - 1075. Round y to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*r**5\/5 - 12*r**4\/5 + 1948*r**3\/5 + 10988*r**2\/5 - 16728*r\/5 - 5152 = 0. What is r?\nAnswer: -20, -7, -1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 258898243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 15*k**3 + 23*k**2 - k + 25. Let j(l) = -7*l**3 - 11*l**2 - 12. Let t(m) = 13*j(m) + 6*u(m). Calculate t(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1978 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = 7*d - 2*d + 10, 4*m = -3*d + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 + 1. Let h be c(-1). Suppose h*p = -3*p. Suppose 10 = -p*g + 2*g. What is the remainder when g is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4152669, 4152670, 4152671?\nAnswer: 4152672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of -3 + 1\/6*h**4 - 1\/2*h**2 + 0*h**3 - 20*h. Calculate t(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*z + 5*z + 4*z**3 - 5*z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -552 = -113*q + 44*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 152, 256, 372, 506, 664, 852, 1076, 1342?\nAnswer: 1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/21 + (-1438)\/(-280). Let o = g - 28\/5. Let c be 6\/210 + (-2)\/(-5). What is the biggest value in 5, c, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 75735.19957 to the nearest one thousand.\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1021.9 - -1022. Sort 7, 1, 0, f.\nAnswer: 0, f, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52\/5 of a millennium in decades?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 20 = 3*a, -2*o + 4*a - 22 = 0. Suppose 2 = h - 14. Find the common denominator of -67\/18 and (-218)\/h - (0 + o).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-25)\/((-1800)\/(-27)) - ((-4521)\/120)\/(-11). What is the smallest value in q, -2\/13, -2, -0.07?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 12, j: 1, q: 4, z: 2}. Give prob of picking 1 j, 1 t, 1 q, and 1 z.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -44 + 47. Solve -m*o - t = -2, -o = -3*o + t + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of v**4*y + 43*v**2*y - 203*v*y**2 - 1525*y**2 + 2*y - 1 wrt v?\nAnswer: 4*v**3*y + 86*v*y - 203*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and -1.21.\nAnswer: -0.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -4055.892 rounded to the nearest 10?\nAnswer: -4060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in eighty-one halves of a century?\nAnswer: 4050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - 3543330?\nAnswer: -3543331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4 + 5)*(-3*l**3 + 2*l**3 - l**3 + (2*l - l - 2*l)*(6*l - 6*l + 6*l**2) + 2*l**3 + l**3 - 2*l**3 + 0*l**3 - 5*l**3 + 3*l**3).\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 81392 and 14864.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -26*d**3 - 3*d**2 + 2*d + 4. Let j be n(-2). Suppose 5*q - 7*q + j = 0. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/11 in -1, -1\/2, -14, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 251 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 - 3*c**2 - 3*c + 3. Determine y(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 390509.\nAnswer: 7, 55787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -3+11462562\nAnswer: 11462559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1537 = -3*w + 4*v, 2*w + 3*v + 1539 = 5*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90 a factor of 9540294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-25)\/(-10)*8\/(-10). Let h be (-4)\/27*-1*15\/(-10). Let y = 7 - 12. Which is the closest to v?  (a) y  (b) h  (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 PM and 4:16 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(2\/13)\/(n\/(n\/(n*n*n*n\/n**(11\/2)*n))*n)*((n**(2\/19)*n)\/n)\/n**(1\/2))**28 assuming n is positive.\nAnswer: n**(-5124\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*x**3\/9 - 2063150*x**2\/9 - 1915756*x\/9 + 16374 = 0 for x.\nAnswer: -73683, -1, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -11118?\nAnswer: 3335.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, -32, -83, -156?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16018 + 1549 + 9681 - 4180 = -292*g for g.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 42 - 38. Calculate the greatest common divisor of i and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eleven eighths of a millennium?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 14\/13*o**4 + 86\/13*o**2 + 8\/13 + 60\/13*o**3 + 48\/13*o = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**2. Let c(t) = -1316*t**2. What is k(c(o))?\nAnswer: -1731856*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 19\/6 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + 1 + 2 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 7 - 0\/(-1) - 2. Let j(l) = 4*l - l - l - 10. Let f be j(n). Let a(o) = o - 17. Determine a(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203840 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18993704 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + b - 5*m + 8 + 13 = 0, 0 = -22*b + 4*m + 24 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 2 + 7 + 316*l**2 to the form j*l**2 + g + s*l and give j.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 288*f**2 - 4897*f + 40. Give r(17).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 3*f**2 + 4*f - 31. What is l(-9)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/10  (b) -1329  (c) 500  (d) -1  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1.1, 1 in decreasing order.\nAnswer: 4, 1.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*o - 4*b, -6*o + b - 1 = -o. Let w be ((o + 0)\/3)\/3. Is 1\/3 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 4  (b) 36604  (c) -3\/2  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 243 + -141. Suppose -3*h = h - f - 110, -5*f - g = -4*h. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 0 = 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 60 (base 7) to base 6\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -1 + 0 + -126 + -83 + 231?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 + 9*w**2 - 143*w - 117. Let i be s(-17). Factor 1\/2*x**3 - x + 0 + 1\/2*x**i.\nAnswer: x*(x - 1)*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*w - w + w)*(-276 - 524*w**2 + 276).\nAnswer: 10480*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 540.652 nanoseconds in microseconds?\nAnswer: 0.540652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = -0*g + 4*g. Let k be 4\/g + 4\/35. Suppose 0*w - 2*w = 2. Is k at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -519261 less than or equal to -519260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -170468077 - 4?\nAnswer: -170468082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 66 = 3. Suppose h = o + 5. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -801 - 3717 - 1502 + 1831 - 9391*j - 4425 wrt j?\nAnswer: -9391","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 4*c**2 + c + 6. Let m be p(-4). Suppose m = 4*b + 2*q, -2*b + 48 = b + q. What is the highest common divisor of b and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2143723 * -4\nAnswer: 8574892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 PM and 7:50 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in l**3 + 2*l**3 - 5*l**3 + 0*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cmoctmc. Give prob of sequence mc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -23642?  (a) -1\/9  (b) -2\/13  (c) -10\/7  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = a - 0 + 1, -3*h - 4*a + 7 = 0. Is 1 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 1\/7*m**2 + 9\/7 - 6\/7*m = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 865639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 5  (b) -15\/2  (c) 9\/5  (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9 and 723?\nAnswer: 2169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1100962184*c**4 - 120315746 wrt c?\nAnswer: -4403848736*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 1598284.548ms?\nAnswer: 0.00264266625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + (-22 - -10) - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gabmag. Give prob of sequence ab.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:46 AM and 10:37 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of h**3\/3 + 3*h**2 + 2*h. Let v(q) = -6*q + 36. Let o be v(5). Give d(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68*n - 133*n + 71*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/365796 and -11\/1224?\nAnswer: 12437064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 36 divided by -8728841\nAnswer: -36\/8728841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -8  (b) -2\/9  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 18*z**3 - z**2 + 2*z + 3. Let w be k(3). Suppose 2*c - c = l + w, -2440 = -5*c - 5*l. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/166 and 107\/78?\nAnswer: 6474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p**2 - 6*p + 6. Let a(s) = 4*s**2 + 11*s - 11. Let t(x) = 6*a(x) + 11*q(x). Let b(o) be the first derivative of -11*o**2 - 78. Calculate t(b(f)).\nAnswer: 968*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1044382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -383\/7 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 14 + 5952*q - 14 - 5979*q. Let c(v) be the first derivative of 0*v - 1\/2*v**2 - 2. Calculate c(l(y)).\nAnswer: 27*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5a35 + -30c?\nAnswer: 5728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*o + 3*o**3 + o + 1020 - 1020 + 22*o**2 to the form a + b*o + d*o**2 + h*o**3 and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1168a (base 11) to base 14.\nAnswer: 619a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/(-80)*-5*(-420)\/35?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -383.98 - -388. Let g = d + -4. Let m = g + -0.12. Is m at least -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 120543 or 120415?\nAnswer: 120415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {y: 2, n: 16}.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -4*q**2 + 37*q + 16. Let j be s(9). What is the derivative of 20*m + 10 + 42*m + 10*m - j wrt m?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75972 is divided by 275.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00689721 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, -685, -0.1554, 4\/5 in decreasing order.\nAnswer: 4\/5, 2\/3, -0.1554, -685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1546*0.3.\nAnswer: -463.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-175)\/30 - -6)\/(10\/(-20))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18398, -36215, -54032, -71849, -89666, -107483?\nAnswer: -125300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.25 + 5.9. Let w = p + -2.6. Let y = 0.01 + w. What is y rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 22 + (-2 - (3 - 5)). Let v be (-4)\/h - 228\/(-44). Suppose 0 = -k + v*k. Solve r + t = k, -3*r + 5 = -4*r + 4*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 168, 4\/3, 1, -1, -3, -1.27?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -126, 82, 650, 1758, 3586, 6314?\nAnswer: 10122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2\/3, 7.342899.\nAnswer: 2\/3, 1, 7.342899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -11206308 rounded to the nearest ten thousand?\nAnswer: -11210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (1 - 0 - 1) - (-1009 - -1015)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2486, -4965, -7428, -9869, -12282?\n\"Answer: f**3 + 2*f**2 - 2492*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -59 - -275. Let f = -3.2689726 + 219.2690736. Let c = f - x. Round c to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 375 + -373. Solve -v = 3*u + d*u - 14, u - 4*v = 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 636 is divided by 302?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*m - 9*m + 12*m - 1136 = 0. Put 3, m, -6 in decreasing order.\nAnswer: 3, -6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2679.7 - -5.\nAnswer: -2674.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f**2))**(-19)*f*f**(-13)*f**(-2) assuming f is positive.\nAnswer: f**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/((-4)\/(-6) + 0). Suppose o*a - 2*v - 6 = 5*a, 4*a - 18 = -2*v. Suppose -a*b = 6 - 24. Solve 3*f = b, z + f = 2*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44745?\nAnswer: 3, 5, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.9, 0.6, -4, 1, -5\/6, 4 in descending order.\nAnswer: 4, 1, 0.9, 0.6, -5\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -728, -1473, -2218, -2963?\n\"Answer: -745*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -10494120 divided by -40362?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Total of -6171078.83607 and -70.\nAnswer: -6171148.83607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/3)\/j*j*j**(10\/9)*(j**(-1\/7)*j)\/(j**5\/j*j))**(-23) assuming j is positive.\nAnswer: j**(5359\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**2 + 7*y + 11. Suppose i = 5*i - 8. Suppose k = i*k - 8. What is the units digit of a(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c + 3*c + 2*c)*(150*c**3 - 38*c**3 - 78*c**2 + 80*c**2).\nAnswer: 224*c**4 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*p = 4*h - 48, -9*p + 5*p + 5*h - 31 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 26837837?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -2*l - 68. Let v be (-6)\/14 - l\/28. Suppose -4*s = -v*s - 40. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1949 - 52*f + 1949)*(-3*f**2 + 75*f - 71*f - f**3 + 4*f**2).\nAnswer: 52*f**4 - 52*f**3 - 208*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13.2 + 2.8. Let u = 17.021 + -0.931. Let x = w - u. Round x to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 213\/5229643?\nAnswer: 213\/5229643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4848 and 3334752?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2127108404.\nAnswer: 2, 109, 1291, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -77737360438 - 1506.\nAnswer: -77737361944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 221 and 45705673?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 620 divide 5158400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 7 = -h, -3*h - h + 5*j + 1 = 0. Let w(s) = -36*s - 254. Let d be w(-7). Sort h, -5, d in ascending order.\nAnswer: -5, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 694 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 662599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -31*b**2*j**3 + 94*b**2*j**2 - 21062*b**2 - 4802*b*j**4 + 30*b*j**3 wrt j?\nAnswer: -186*b**2 - 115248*b*j + 180*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10857352, -10857351, -10857350, -10857349, -10857348?\nAnswer: -10857347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 158886514?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 303 is divided by 106.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*o - 1877 = 837 - 674 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qmqfmifpvppf. Give prob of picking 1 i, 2 p, and 1 v.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 37\/2, -0.4, -3, -0.2 in decreasing order.\nAnswer: 37\/2, 2, -0.2, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2*s**3 - s**2 + 1. Let a be d(1). Suppose h = -0 - a. Let y be 3\/(-3) - -2 - h. Solve 0 = 2*t + 5*l - 20 - 9, -19 = y*t - 5*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the first derivative of -2 - 4\/3*x**3 + 0*x**2 + 0*x. Let t(w) = w**2. Let i(a) = -2*a**2. Let j(c) = 2*i(c) + 5*t(c). Calculate j(o(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 257127, 257122, 257113, 257100, 257083, 257062, 257037?\nAnswer: 257008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 118*u**3 + 25*u**2 - 1999. Let z(k) = -61*k**3 - 12*k**2 + 999. Let r(b) = 4*d(b) + 9*z(b). What is the first derivative of r(i) wrt i?\nAnswer: -231*i**2 - 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o**2 + 796 - 4*o**2 - 780 - o**2.\nAnswer: -2*o**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zwoo when four letters picked without replacement from ozwoi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*f - 373 = 44*f + 1355 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 44627688473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1332.7924 - 0.2076. Let r = q + 1262.7. What is r rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001342 to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**2 + 8*g - 10. Let h be f(-9). Are 4\/35 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4987837009?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 90 - 92. Let c(s) = -s**2 + 3*s + s**3 + 18*s + 19 + 22*s**2. Let h be c(-20). Is h less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 3*t - 6 = 0, -6*q + 2*q + 3*t - 1 - 5 = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 + 8*x**2 - 5*x + 8. Let a be k(7). Suppose -v + a = 3*u, -3*v - 3*u + 35 = -v. Let c = -7 + v. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**4 + 778*z**3 + 17968*z**2 - 84448*z.\nAnswer: 2*z*(z - 4)*(z + 29)*(z + 364)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25*1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -195.2+860816.8\nAnswer: 860621.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 - 3*o + 13. Determine w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -24 + 26. Suppose -3*i + 2*n + 16 = 0, 2*i + 2*n = i. Suppose q - 20 = -y*j, 5*q - i*j = -19 + 49. Calculate the remainder when 28 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 705247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 7338840787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3181589, -6363213, -9544837, -12726461, -15908085, -19089709?\n\"Answer: -3181624*k + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80) + -4)**2 + 3.\nAnswer: -32*sqrt(5) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2333 = 23*o - 5038 - 4655. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8203891051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {c: 3, a: 5, i: 1, n: 3}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74 - 15*g + 5*g + 74.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2 - 6*v + 1. Let u be 4 - ((-9)\/(-10) + (-7)\/(-70)). Let x(n) = -5*n. Calculate u*x(g) - 2*c(g).\nAnswer: 2*g**2 - 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 1773 divide 1244117646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 67359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -5*f. Let s = -44 + 36. Let j(g) = -9*g**2 - 5. Let u(d) = -14*d**2 - 8. Let t(a) = s*j(a) + 5*u(a). Give x(t(v)).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**2 - 142. Let n be d(-12). Suppose 0 = -3*r + 7*r - 24. Solve r = 4*j + n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 64 + -106. Let a be 1169\/i + (-2)\/12. Let q = a + 29. Solve -4*t - 2*v = 14, -4*t + 5*t - q = -5*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5675770 (base 8) in base 14?\nAnswer: 2c0c52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 + 4. Let s be (-32)\/(-6)*133\/(-35). Let m = s - -62\/3. What is the third biggest value in a, m, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*(1 + -1)*1. Let j = t - -1. Let s = -29 - -205\/7. Is s > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 497286.78 to the nearest 100.\nAnswer: 497300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18.25556574 - 35.2555658. Let l = 1.6 + -18.6. Let f = l - z. Round f to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 9*z + 9 = 0. Suppose 0 = -z*m + 2 + 4. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3086 - 2393. Calculate the highest common factor of u and 539.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1032 - 2063\/2. Factor 1\/2*j**2 - m - 1\/2*j**3 + 1\/2*j.\nAnswer: -(j - 1)**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2090 - 10452\/5. Let i = -71\/279 - -1\/31. What is the fourth biggest value in 0, -2, i, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z = -4*z + 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + ((sqrt(1584) - sqrt(1584)*-2*-6) + 3 - -4*2*sqrt(1584)*-5)*4 + -3)**2.\nAnswer: -63648*sqrt(11) + 65919913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 + 9. Let f = 1 - -1. Let o = i - f. What is o rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3180765.28 rounded to the nearest 1000?\nAnswer: 3181000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -775014, -3100166, -6975420, -12400776, -19376234, -27901794?\n\"Answer: -775051*w**2 + w + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -1499428.\nAnswer: -299885.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -83222, -166002, -248338, -330230, -411678?\nAnswer: -492682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 3*a - 13 = -0*p, -3*p + a = -14. Let z(t) = -t + 5. Let n be z(p). Let m be -1 - (n + (-93)\/96). Is m greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -1. Let u(r) = r + 1. Let n(q) = -5. Let v(y) = -n(y) + 2*u(y). Calculate -4*k(t) - v(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 + -32. Let x = -51 - w. What is the nearest to 1 in 4, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w + 5*d - 27, 32*w - 37*w - 5*d + 30 = 0. Solve -4*k + w*k + 9 = 2*p, 5 = -k + 5*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 28644 - 28641. Let g = 17 + -9. Solve g*q - x*q - 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 58346?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -58 + 60. Put s, -3, -2\/11 in descending order.\nAnswer: s, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14, -37, -60?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, z: 2, n: 1, w: 4}. Give prob of sequence sw.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2592150863 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-4)\/g*g**(-16))**(-5\/19) assuming g is positive.\nAnswer: g**(105\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 268\/15 + -62\/3. Let y be ((-14)\/8)\/(15\/(-4)). Let m = u + y. Is -3 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 928501095 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 + 1637*d**2 + 23.\nAnswer: 1637*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**2 - 60*i - 5123. Let s be r(102). Is -7562\/9 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 537513\/13 or -25?\nAnswer: 537513\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/5 - 1649352*f\/5.\nAnswer: 2*f*(f - 824676)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1185 is divided by 910?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4867 + 3698 = -37*d + 7529 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10781192 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2207 is divided by 214?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - (8 + -17)) + (-11 - -4) + 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 1 + 3)*(2*c**2 - c - 8*c**2 - 2*c**2) as f*c + v*c**2 + d and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 5*o - 37, -10*o = -2*z - 13*o + 26. Let j(u) = -u**2. Let x(p) = 21*p**2 + p. Determine z*x(s) + j(s).\nAnswer: 20*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40105022.\nAnswer: 2, 157, 337, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 331072 is divided by 165532?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 119 and 21.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11797178 is divided by 1808.\nAnswer: 1786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k = k + 3*t + 14, 4*t + 16 = 4*k. Calculate the least common multiple of -3*k\/(-4)*8 and 0 + -4 + (-12)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:20 PM and 9:47 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000111 (base 2) to base 11.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/(-18) - -43*(-3913)\/(-63) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1989580993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*81\/2*11905\/(-21429).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y**2 + y + 27. Give w(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Do 621 and 24169\/39 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/4 - (-57)\/12. Let w = 4 - 2. Find the second derivative of -o - y*o**w + 6*o + 0*o**2 wrt o.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60.64864 millennia in years?\nAnswer: 60648.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 164.2 + -164.20000709. Round q to seven decimal places.\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of 5*o**4\/12 + o**3\/2 - 11*o**2. What is the units digit of d(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21568830 divided by 1?\nAnswer: 21568830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -39 + 15 + 26 + -11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3897 a factor of 115057477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Do -6 and 2340 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*k**5 - 30*k**3 - 21*k**2 + 22.\nAnswer: -240*k**2 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*s - 20, 0 = y - 63*s + 67*s - 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -986*s**2 + 1197 - 1197 + (0*s - 2*s - 2*s)*(-4 + 1 + 4)*(5 - 5 + 2)*(0*s - 5*s + 4*s).\nAnswer: -978*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 280 divide 1863680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 + 5*i**2 - 3*i - 12. Let x be s(-5). Solve x*n - 1 = 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -197 - 532 - 2*u**2 + 6*u**3 - 328.\nAnswer: 6*u**3 - 2*u**2 - 1057","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -2 - 2 + 0 + 0 - 4*q. Let o(m) = -m**2. Give o(r(n)).\nAnswer: -16*n**2 - 32*n - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times 0.07?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 230, 226, 198, 128, -2, -210, -514?\nAnswer: -932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of -3*b**4\/8 + 2*b**2 + 10. Let m(k) = -13*k**2 + 9*k**2 - 5*k + 5*k. Calculate x(m(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -2*k + 3*n, -5*k + n - 4*n = -12. Let d be (4\/12*k)\/2. Let s be 2\/((d + -2)\/(-2)). What is the greatest common factor of 16 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(0 + sqrt(1377)) + (2*sqrt(1377) - sqrt(1377))*-2)**2 - ((6*(sqrt(1377) + (-1 + sqrt(1377))*-3))**2 + -4).\nAnswer: -149036 + 3888*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 193 a factor of 533645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -45\/2 and 50\/33131?\nAnswer: 66262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.341223 millilitres in litres?\nAnswer: 0.008341223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - c - 5, -4*v + 18 - 10 = 2*c. Let i(p) = p**2 + 3*p + 4. Let w be i(-3). Sort w, 0, v.\nAnswer: 0, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -803 + 802.039. Let l = x - 0.039. Suppose -9*d = -14*d + 3*r + 11, 4*d - 4*r = 4. Put 3, l, 1, d in increasing order.\nAnswer: l, 1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 3*p - 61. Let m be s(21). Solve 0 = c - 3 + m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 2*x**3 + 17*x**2 + 5*x + 5. Calculate the remainder when (-688)\/(-6) - (38\/(-6) + 6) is divided by y(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -175 - -175. Let p = -50 + 160. Let a = p - 768\/7. What is the nearest to 0 in -5, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1194055350 to the nearest one hundred thousand.\nAnswer: -1194100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 + 200?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4ac7b39 - -4?\nAnswer: -4ac7b35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.06 - 0.07273784878975.\nAnswer: -0.13273784878975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of -65*r**3\/3 - 7*r**2\/2 - 10554*r - 738. What is the first derivative of t(m) wrt m?\nAnswer: -130*m - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/5*f**2 - 1\/5*f**3 + 11*f + 40.\nAnswer: -(f - 8)*(f + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -3*x**3 - x**2 - x + 2. Let i(s) = 4*s + 142. Let c be i(-36). Give v(c).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 109*g**2 - 35*g - 17. Let v(h) = 36*h**2 - 11*h - 5. Calculate -2*f(x) + 7*v(x).\nAnswer: 34*x**2 - 7*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of 691*k**4\/24 - 321*k**2 + 4*k. Let o(u) = 2*u. Determine y(o(j)).\nAnswer: 1382*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 + 5*a + 4. Let d be (4 - 1)*(-12)\/9. Let i be z(d). Solve t + 8 = -4*j - i*t, -j + 19 = -5*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -33*f + 3*a - 72, 2*f - a + 118 = 2*f + 120 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -36\/18575 and 76\/33435?\nAnswer: 167175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 437 divide 38462892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.2433 * -640\nAnswer: 155.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31659.\nAnswer: 3, 61, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-1)\/4)\/((-2)\/8). Suppose 0 = -j + z + 5, j + z + 0*z + i = 0. Suppose 2*q + 3*u = -j*q + 58, 4*q - 60 = -4*u. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 - (2*32)\/(-1). Suppose -2*s - 112 = -4*u, -a = -5*u - 5*s + 47. Calculate the remainder when u is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 1:46 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 1 + 9 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 619781506 to the power of 1\/2, to the nearest integer?\nAnswer: 24895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g - g**3 - 4*g)*(-1 + 1 + 2*g - 5 - g + 5 + (-4*g - g + 4*g)*(2 + 1 - 1) - 4*g - 3*g + 4*g).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r**4 - 3*r**4 - 2*r**4)*(r - r - 2*r) + (-r**3 + r**3 + r**3)*(36*r**2 - 1076*r + 1076*r) + r**5 + 0*r**5 + 2*r**5.\nAnswer: 41*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.833 rounded to two decimal places?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add together 222.88 and -0.21.\nAnswer: 222.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 + 39\/(-12) - 8\/(-5). Let u = 17\/20 - h. Which is the second biggest value?  (a) 0.3  (b) 23  (c) u  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 3*r**2 - 198*r - 3373. Determine y(80).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*x - 39229 + 5963 - 170997 = 0. Is x smaller than -2462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -45593 - -45593. Sort -869\/5, 1\/4, c, -0.3, -3 in descending order.\nAnswer: 1\/4, c, -0.3, -3, -869\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x + x + 12. Solve x*c = 6*c - z - 2, -4*c + 5*z - 12 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*b - 33*b + 9*b to t*b + a and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 305921084 to the power of 1\/3, to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 160 divided by -5.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/(858\/1001*1\/3)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47305 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1000000100101010001000 (base 2) to base 4\nAnswer: -20010222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 + 15*k**2 + 4*k + 20. Let q be h(15). Are q and 80 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 4*k - 10 = 2*i, i + k = 7. Solve h - i = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -36 - -36. Is -1 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of 2*b + 0*b**4 - 3\/20*b**5 + 0 + 0*b**2 + 2\/3*b**3. What is the second derivative of v(n) wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5054437 or 2\/5?\nAnswer: 5054437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of -4*y + 0*y**6 + 0*y**5 + 0*y**2 + 1\/7*y**7 + 0 + 0*y**4 - 9\/2*y**3. Find the second derivative of c(n) wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24332 and 3356631.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38705, -154851, -348427, -619433?\nAnswer: -967869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**2 + 4212 - d**2 + 4043 - 8438 + 4*d**2 - 3*d. Let p(w) = -4*w. Calculate z(p(n)).\nAnswer: 32*n**2 + 12*n - 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -41 + 83. Suppose 3*u = 5*i - 60, -4*u - 13 - d = -5*i. Suppose -59 = -3*j - m + 2*m, 5*m + i = j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three quarters of a meter in centimeters?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 < 980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*r - 36 = -27*r + 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w - 1. Let b be t(4). Let n = b + 6. Does 4 divide n + -1 - (-1 - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 279499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111013 (base 4) to base 3.\nAnswer: -1212001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24 and 1*((-10)\/(-80) - (-190)\/16).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-9)\/24 - 2142\/48) + -3. Let q be (((-3)\/4)\/1)\/(12\/z). Solve 5*f = 6*f + q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -16130 - 13?\nAnswer: -16143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 28628*g - 32922194. Calculate y(1150).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000026893923 rounded to seven dps?\nAnswer: -0.0000269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -20\/155323 and -77\/4?\nAnswer: 621292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17697521 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 3699.802 millilitres?\nAnswer: 3.699802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.06, 2, 2\/5, 371.794 in decreasing order.\nAnswer: 371.794, 2, 2\/5, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the second derivative of -y**6\/480 + y**5\/80 + 3*y**4\/32 + 35*y**3\/6 + 21*y + 2. Let i(j) be the second derivative of v(j). Factor i(d).\nAnswer: -3*(d - 3)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -785 in 4, -258, -9, -0.5, 2\/3?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 12143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange h**2 + 2*h - 11*h**3 + 12*h**3 - h to the form v*h**3 + n + f*h + x*h**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 + 12 = -6*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 14060551065 and 0.129.\nAnswer: 14060551065.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b - 16. Let s be i(8). Suppose s = -3*w + 1 - 73. Let u = w + 100. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2720*i - 746*i = -37891 - 46991 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/12816 and -131\/293700?\nAnswer: 3524400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 27215*h**2 - 3 - 27234*h**2.\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2912\/9 + 324. Let f be (52\/(-39))\/(-9 + 280\/30). Which is the second smallest value?  (a) -10  (b) l  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1598 + 3820. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -71 - -7. Let m be (116\/16)\/((-2)\/8). Let o = m - z. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of -2*z**7\/315 + z**6\/45 + 11*z**5\/180 + z**4\/24 + 19*z**2\/2 - 11. Let w(n) be the second derivative of h(n). Factor w(v).\nAnswer: -v*(v - 3)*(2*v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65033 to the power of 1\/2, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 4:59 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/(-8) - 22\/(-8). Suppose 4*j - 18 = -x*q, -5*j + q + 12 = -0. Let c be (0 + 3)\/(2 - 1). Solve 0*i - c = -j*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 90, 67, 30, -27, -110?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 328658.4.\nAnswer: -328653.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39 - 29 - (0 + 16\/(-2))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 + -64 - -27 - (-1 - -17)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7169084, 7169079, 7169072, 7169063, 7169052, 7169039?\nAnswer: 7169024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 115*q - 22. Let z = 50 - 45. Is y(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18, -18, -26, -48, -90, -158?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61458335 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-6) + 52\/(-12). Let v(b) = 5*b**3 - 20*b**2 + 17*b + 37. Let w(m) = m**3 - 5*m**2 + 4*m + 9. Let c(k) = 2*v(k) - 9*w(k). What is c(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16263 = 3063*m + 36141 - 24113 + 63599 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide ((-33)\/4)\/(30\/(-520))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 731604376 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1076*805\nAnswer: -866180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -168.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 5 + -2 - (2 + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 4*b = -8*b - 32, 0 = -3*y - 2*b + 82. Let s be (-170)\/4*y\/(-35). Suppose 3*o - s = 32. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.5 + -1. Let h = -1.3 - -1.3. Let c = h + 0.4. Sort -0.4, w, c in descending order.\nAnswer: c, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 57 = -v, -56 = -3*k - 4*v - 8. Let c(g) = 98*g**3 + 1471*g**2 + 5*g + 66. Let m be c(-15). Calculate the highest common divisor of k and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cvc when three letters picked without replacement from wzrwczzrvwcvmwv?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 4. Let c(u) = -14*u + 4. Let p be c(0). What is the third derivative of 4*a**p + a**2 + 3*a**2 + 3*a**m + 3*a**2 wrt a?\nAnswer: 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -20.8809 and -0.30879.\nAnswer: -21.18969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 48?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1150052 and 50128.\nAnswer: 59802704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.928652 millimeters in micrometers?\nAnswer: 928.652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n**(1\/3)*n))**(-2\/51)\/(((n**(-1\/4)*n)\/n)\/n)**(-35) assuming n is positive.\nAnswer: n**(-26767\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5287928 and 36620?\nAnswer: 26439640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2935902822 to the power of 1\/2, to the nearest integer?\nAnswer: 54184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tttottttootttttttt. What is prob of sequence ttto?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (207\/(-18))\/((-84)\/(-56) - (3 + -1)). Solve -18 = 2*s - k, 3*k = -l*s + 26*s + 33 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(5*(sqrt(13) + 1))**2.\nAnswer: -700 - 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 1700*z - 20408. Calculate t(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6945726.\nAnswer: 2, 3, 1157621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8008 - 8019. Which is the closest to 0?  (a) -0.3  (b) -4  (c) q  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the first derivative of -n**4\/4 + 2*n**3 + 4*n**2 - 7*n + 4. Let u be v(7). Suppose -6*t + 198 = -u*t. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of -k**6\/24 + k**5\/2 - 55*k**4\/24 + 5*k**3 + 12*k**2. Solve j(o) = 0 for o.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*l + 6363 = -3262. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2955 + -2950. Put -2, -85, w in decreasing order.\nAnswer: w, -2, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.867 and 56.\nAnswer: 48.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3357\/14 + -240. Let t = f - -5\/7. Let h = -0.3 + -2.7. Put 2, h, t in decreasing order.\nAnswer: 2, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**3 - 3*q**2 + 2*q + 1. Let o be v(-4). Let j = -5 + o. What is the second derivative of -23*f**3 + 23*f**3 - j*f - f**5 wrt f?\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 681778 = -4*b, 6*b - 340910 = 4*b + 4*a. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 less than -17882006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/27 in -4, -22, 0.8, 6.1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**3 - 9*f**2 + 42*f - 78. Let l be j(5). Let q(r) be the second derivative of 0 - 1\/3*r**3 + 13\/2*r**2 + l*r. What is the derivative of q(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 50199 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the third derivative of z**4\/8 + 370*z**2. Let f(d) = -205*d. What is f(i(u))?\nAnswer: -615*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*(12\/27)\/(-4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(-3)\/(-18) - (-1)\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22.48 + 5.48. Let d be (1\/(-2))\/((-6)\/2). Let z = 129\/56 + -23\/8. Which is the second smallest value?  (a) j  (b) z  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*x**3 - 27\/2*x**2 - 24 - 37*x.\nAnswer: -(x + 1)*(x + 2)*(x + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 divided by 19?\nAnswer: 13\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of -k**3\/18 + 8*k\/3 + 143. What is a in j(a) = 0?\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 51 + -3 + 0\/3. Suppose 2*i - 5 - 7 = 0. What is the highest common divisor of v and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of (-2)\/10 - 348\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1286110 divided by -10.\nAnswer: 128611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000008044272 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24)\/(240\/(-5))*6\/5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -101 (base 4) to base 7\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2 + 176*j.\nAnswer: -2*j*(j - 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of 5*l**4\/12 + 115*l**3\/2 + 170*l**2 + 225*l. Factor d(a).\nAnswer: 5*(a + 1)*(a + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 3 g when four letters picked without replacement from dggggdggdddsggdggdg.\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**2 + 12*k - 11. What is the units digit of w(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-3 + (4 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -35761072 - -21931072. Round r to the nearest 100000.\nAnswer: -13800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of 13*w**4\/8 - w**3\/6 - 21*w**2 - 10*w. Let y(m) = -75*m. Determine n(y(t)).\nAnswer: -2925*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1931 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-4*sqrt(2299) - sqrt(2299)) + sqrt(2299))*1)**2.\nAnswer: 36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 - (-258)\/90) + (-4)\/(-30). Suppose 5*q - 5*u = -165 + 555, k = 5*u. Calculate the least common multiple of q and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 936241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 4390.027 tonnes?\nAnswer: 4390027000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*d*f**3*w - 2*d*f**2*w + 2*d*f**2 + 27*f**3 - 2*w with respect to d.\nAnswer: -3*f**3*w - 2*f**2*w + 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**2 - 82*q - 156.\nAnswer: -2*(q + 2)*(q + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 550, 1115, 1680, 2245?\n\"Answer: 565*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z and 1 s when four letters picked without replacement from {w: 5, s: 2, y: 2, z: 3}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 46425430721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*s = 25*s - 32497642. Let y = s + 5491626. Round y to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/l**(-6\/7))\/l)\/l)\/l**(11\/4) assuming l is positive.\nAnswer: l**(-81\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*z + 123 - 96 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 52701 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 4 + x + (6*x + 0*x - 5*x)*(-7 + 2 + 2) + (-1 + 0 + 2)*((-5*x + 1 - 1)*(2 + 3 - 3) - 4*x - 2*x + 2*x).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44976801 + 44976801 - 5*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 105804 and 140328?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes after 1:20 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (832\/(-352))\/(((2196\/54)\/61)\/(-1*1))?\nAnswer: 39\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13 - -3122202?\nAnswer: 3122123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fxf when three letters picked without replacement from {q: 1, f: 6, x: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252) + (sqrt(252) - sqrt(252)*2))\/sqrt(6))\/(sqrt(6) + sqrt(18)\/sqrt(3)*-2) + (sqrt(700)*-1)\/(sqrt(144)\/sqrt(4) - sqrt(4)).\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**2 + 7*t - 4. Suppose -4*u + 13 = -3. Suppose -d - 2*j + 8 = 0, -j + 21 = u*d - 4*j. Calculate q(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.389  (b) 0.5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 892 and 120.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k + 42. Let y be d(18). Is 68\/y*(-222)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (-2 + -26 + 0) - (109 - (452 + -348))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + g + 69, -3*b + 7*g = 2*g - 205. Calculate the least common multiple of 14 and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5760)\/82560 + (-453)\/903?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 635, 1, 6, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w + w + 3*w - 3*w + 3*w - 2*w + (1 + 2 - 5)*(1 + w - 1))*(-2*w**3 + 4*w**2 - 4*w**2).\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 16320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one fifteenth of a hour?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7077410 is divided by 65?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 52*x - 23*x - 26*x - 29*x**3 + (-3*x + x**2 + 3*x)*(0*x + 0*x - 2*x).\nAnswer: -31*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7, -2, 7, 20, 37?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + 1. Let t(k) = -161*k + 165. Let y be t(1). Which is the nearest to -0.1?  (a) y  (b) u  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 5*-4*(-1*sqrt(1300) - 3*(1 + sqrt(13))) + 5)**2.\nAnswer: 33280*sqrt(13) + 882896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from vvuuudddaaupaqaquu?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/7))**(-20) assuming o is positive.\nAnswer: o**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 49*q**5 - 60634*q**4 + 18679441*q**3 + 48333960*q**2 + 31136400*q.\nAnswer: q*(q - 620)**2*(7*q + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 29672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7416.18 rounded to the nearest 10?\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52321.8ng to grams.\nAnswer: 0.0000523218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2*f**2 - 5. Let b be (-39)\/117 - 14\/(-6). Let p(l) = -1 + 7*l**2 - 7*l**2 - b*l**2 + 7. Give -5*p(u) - 6*w(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2. Let s(z) = 1314*z**2 - 18*z + 8. Let f(u) = 2628*u**2 - 45*u + 19. Let p(n) = -2*f(n) + 5*s(n). Determine a(p(t)).\nAnswer: -1726596*t**4 - 5256*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-74*j**2 - j + 31*j**2 + j)*(-96*j**3 + 315*j - 315*j).\nAnswer: 4128*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*t - 43*t**2 - 77*t**2 + 2*t**2 + 37183 - 37181 to the form w*t**2 + m + d*t and give w.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/22 and 61\/89038.\nAnswer: 979418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f + 727. Let c(p) = -23*p. What is u(c(q))?\nAnswer: -23*q + 727","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r**3\/8 + 7815*r**2\/8 - 646323*r + 13145454 = 0. Calculate r.\nAnswer: 21, 1292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 6:00 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8 - (-97427)\/(121\/11)?\nAnswer: 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwd when three letters picked without replacement from wppdpddpwddw?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 24336641, 24336626, 24336587, 24336512, 24336389, 24336206, 24335951, 24335612?\n\"Answer: -2*p**3 - p + 24336644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.204 rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11606367 is divided by 213.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -1712*z + 4\/3*z**4 + 3232\/3*z**2 - 220*z**3 + 2560\/3 = 0.\nAnswer: 1, 2, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-7)*(-110)\/(-55). What is the second biggest value in b, 0.2, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 0, -8*p = -10*p - 5*r + 18. Suppose 2*h - p = -5*b, -3*b + 5 = 5*h - 8. Put 4, h, -3, -8 in decreasing order.\nAnswer: 4, h, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7912030 to the nearest one hundred thousand.\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1156702 (base 8) in base 14?\nAnswer: 84318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*t - 3. What is the nearest to t in -3\/5, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 31178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/8, -13, 19\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 11439608\nAnswer: -45758432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of -r**7\/840 - r**6\/72 - r**5\/30 - 2*r**3\/3 + 1. Let c(f) be the third derivative of b(f). Determine c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes after 2:05 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -7, -25, -69, -151, -283, -477?\n\"Answer: -2*n**3 - n**2 - n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -20.4 * -72.\nAnswer: 1468.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 942, -3 in descending order.\nAnswer: 942, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.52 * -4.\nAnswer: -2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15, 34, 53?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -36 - -85. Suppose 0 = -2*f - 2*u + 68, -5*f - 2*u + 160 = u. What is the remainder when a is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + b + 26 = -8, -4*b + 62 = 2*h. Suppose 2*x - 29 = 37. What is the remainder when 22 is divided by 6\/h + 390\/x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of -d**8\/224 - d**7\/28 - 7*d**6\/80 + d**5\/40 + d**4\/2 + d**3 + d**2 + 172*d. Determine c so that z(c) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -94538*s**3 + 138*s**2 - 136*s wrt s?\nAnswer: -567228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2798 - 1993. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -4*t, 0*t = 3*c - 5*t - 5. Let h(n) = n**3 + 24*n**2 + n + 29. Let m be h(-24). Solve m*l - 3 + 23 = c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 8*p + 10. Let k(j) = 15*j + 19. Let r(m) = 6*k(m) - 11*t(m). Calculate r(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4372723400 to the nearest integer?\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the first derivative of -h**2\/2 + 2*h + 42. Suppose 0 = 4*v - 7*v + 6. Let w be s(v). Solve 3*m - m - 10 = w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -126, -246, -366, -492, -630, -786?\nAnswer: -966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(2*sqrt(308)*6)\/((sqrt(504)\/sqrt(9))\/sqrt(8)))**2.\nAnswer: 228096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 771 divided by 37.\nAnswer: 771\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2722350604 to two decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (1 + -3*(-1)\/(-3))\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1377) - ((sqrt(1377) - (2 + sqrt(1377) + 3)) + sqrt(1377)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + 16, -31*i - 61472 = -2*x - 30*i. What is the ten thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -z**4\/2 + 220*z**3 - 19725*z**2\/2 - 22385*z + 82468 = 0. Calculate z.\nAnswer: -4, 2, 53, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**2\/11 - 689698*u\/11 - 3448440\/11.\nAnswer: -2*(u + 5)*(u + 344844)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/775364 or 0?\nAnswer: 1\/775364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 2*x - 5. Let o(r) = 279*r - 140*r - 141*r. What is o(l(a))?\nAnswer: -4*a + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001772273 to 6 dps.\nAnswer: -0.000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 5*o - 2 = -0*r, 2*r + 8 = 5*o. Solve -5*u = 4 + r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 182.44, -3\/5, 5, 2\/25.\nAnswer: -1, -3\/5, 2\/25, 5, 182.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-21 + (-1370)\/30).\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 265101, 530202, 795303?\nAnswer: 1060404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1766707?\nAnswer: 1766707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*d - 951*r + 949*r + 33, -2*r + 21 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 5) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 55359172*y**2 + 12*y - 3668221.\nAnswer: 110718344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.2375783 and 1.937224.\nAnswer: 2.1748023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - 17. Suppose -4*y + 14 + 5 = -i, -4*i = 4*y - 44. Let b = y - w. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 556\/2421 - 2\/269. Put i, -1\/4, -0.05 in descending order.\nAnswer: i, -0.05, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/3)\/(22\/99).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -11*x + 20*x - 36, 5*p - 40 = -5*x. Solve 2*v = -3*h + 14, 0*v + 7 = -v + x*h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 + 48?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of k**6\/40 - 2*k**3\/3 + 8*k**2. Differentiate r(c) with respect to c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seventeen sixths of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18980684.1 + 2.399473.\nAnswer: -18980681.700527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -1 + (-39 - (5 + -42)) + 1 + -61.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-544)\/680)\/(1*-10).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1521569 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + 3*d + 18. Let x(g) = -3*g**2 + 9*g + 55. Determine 11*t(n) - 4*x(n).\nAnswer: n**2 - 3*n - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -127, 41159 in descending order.\nAnswer: 41159, 3, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 311*h - 318*h + 413. Let z(o) = -o**3 + 6*o**2 + 4*o - 12. Calculate the remainder when h is divided by z(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 + 32. Suppose -4*r = z - 0. Let m = 21 + r. Solve -3*y + 3 + m = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-840)\/(-7 + 4) + 2. Let b = -261 + v. Let d be 14\/6 - 1\/3. Solve 5*y + d*k = -b, 5*y + 4*k + 27 = -0*k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.94 + 4.04. Let v = 1847151\/1043 - 1771. Let x = v - -747\/1043. Is l not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 17 + 3cf1?\nAnswer: 3d08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-36)\/(-189)*(-14)\/(-12). Let h = -18 + 20. Suppose 6*n - 3*n + h*i - 14 = 0, -5*i + 14 = -3*n. What is the closest to p in -2, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-2)*p)\/p)\/p*p\/p**1*p\/(p\/(p*p**(-6)))*p**(-2)*(((((p*p\/((p\/(p**(-1\/6)*p))\/p))\/p)\/p)\/p)**(-4))**43 assuming p is positive.\nAnswer: p**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 188 and 893.\nAnswer: 3572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qacaqaac. Give prob of picking 2 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -115249466, -115249460, -115249454, -115249448?\n\"Answer: 6*o - 115249472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -z**5\/6 - 23*z**4\/6 - 193*z**3\/6 - 255*z**2\/2 - 243*z - 180 = 0.\nAnswer: -10, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 755779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 126310?\nAnswer: 2, 5, 17, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4438047 to the nearest integer?\nAnswer: 2107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c = 1460 + 13558. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -44*f**4*u**2 - 19*f**4*u - 39*f**4 - 637948*f**2*u**2 wrt f.\nAnswer: -1056*f*u**2 - 456*f*u - 936*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.9 - -1. Let z = 5.04 + -0.04. What is the closest to l in z, -4\/7, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (2 + -3*(0 + sqrt(99) + -2)*5*-6 + -5)**2.\nAnswer: -98820*sqrt(11) + 835393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*p - 533 = -99. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 702 and 624?\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.01, -14, -2, -4\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -16*a**2 + 7*a - 6. Let o = -1447 + 1441. Let n(q) = 16*q**2 - 6*q + 5. Calculate o*j(m) - 7*n(m).\nAnswer: -16*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*j = j - 2818651. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11.1 - -11094948061.6\nAnswer: 11094948050.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3\/((-18)\/(-74))*6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = -2*x + 41. Suppose -5*o = 3*g - x, -5*o = g - 2*g + 10. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 9*m = 13, 64*q - 63*q - 1 = -5*m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.633059t?\nAnswer: 633059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4221 - -4643. Is 23 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.25 - -10501956.\nAnswer: 10501955.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 AM and 7:42 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the third derivative of -17*k**6\/40 + 5*k**4\/8 + 35*k**2. Find the second derivative of w(l) wrt l.\nAnswer: -306*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -34237*z - 5 - 14*z**5 + 34237*z + 4*z**5 - 2*z**5 + 0*z**5 + (1 + z - 1)*(0*z**4 + z**4 + z**4) - z**5 - 2*z**4 + 2*z**4.\nAnswer: -11*z**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -49*s**3\/3 - 126343*s**2\/3 + 72208*s\/3 - 10316\/3.\nAnswer: -(s + 2579)*(7*s - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14 + 13.79. Let m = -0.563 - -0.853. Let x = r - m. Which is the nearest to -1\/2?  (a) 2\/7  (b) 0  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5905\/3 - -59209\/30. What is the common denominator of u and (-1743)\/(-63)*((-6)\/4 + 2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1560 = 4*k - 4816. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) 1  (c) -5  (d) 0.4  (e) 0  (f) -7054\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -7. Let s = 25 - z. Let l = 30 - s. Put 3\/4, 0.2, l in ascending order.\nAnswer: 0.2, 3\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -9\/7  (c) -7  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-48)\/24*((-2433)\/6)\/1 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 273 is divided by 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 3*j - 2, -2*j + 12 = -2*l - 7*j. Which is greater: l or 3\/152?\nAnswer: 3\/152","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/(-2) + 19 - -4. Let a = u + -27. Let h(f) = -f - 4. Give h(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 + 4)*60\/36. Does 4 divide ((-9)\/d)\/(6\/(-60))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131 less than 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.39?  (a) 1.3  (b) -3  (c) 1  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -808*t + 794*t + 314566 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -3*b - 22, -5*v - 3*b + 69 = 71. Let 0 + s + 1\/2*s**v = 0. What is s?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 0*z - 673 = 11*c, -21*c + 28*c = -z - 425 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -3*d. Let h(o) = -25*o + 20. Let q(z) = -276*z + 230. Let t(l) = -46*h(l) + 4*q(l). Determine a(t(i)).\nAnswer: -138*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 157\/84 and -181\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and 0.232.\nAnswer: -0.0696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 7*j + 2*j = 0, 0 = 2*b + 3*j + 2. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-34)\/100*(-201)\/1139*1\/(3\/(-8)).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -35054 - -20?\nAnswer: -35034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -452\nAnswer: -5\/452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 60*d + 6 - 2*d.\nAnswer: -62*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 + z**2 - 2*z. Let m be b(-2). Suppose -q + 7 + 35 = m. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-339)\/17515*31)\/(6\/(-8)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1043206, 1043215, 1043230, 1043251, 1043278, 1043311, 1043350?\nAnswer: 1043395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-10) - 3\/((-45)\/447). Suppose -3*l = -6*l - p. What is the units digit of -1 - 6\/l - (-454)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -56 divided by -8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3673806 to the nearest integer?\nAnswer: 1917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 647, 39, -3 in increasing order.\nAnswer: -3, 39, 647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2280553790?\nAnswer: 2, 5, 228055379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 3 - 3 + 19*w - 24*w - 2. Let b(n) = -2*n**2 + n + 10. Let l be b(0). Let g(f) = 16*f + 6. Calculate l*s(p) + 3*g(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 694432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 80296 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 460585.4 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*k**3 - k**2 + 27*k**3 + k**2 + 2 - 4*k + 0*k**2 in the form y + g*k**2 + n*k**3 + l*k and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(6\/(6\/1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 14\/9 of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - -1db586?\nAnswer: 1db58a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the second derivative of m + 7\/15*m**6 + 1\/2*m**4 + 0 + 0*m**2 + 6\/5*m**5 - 2\/3*m**3. Let j(l) = 0. What is l?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1099200789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7751*k + 3*k**3 + 7754*k + 0*k**3 - 54 to the form r*k**2 + z*k + u + f*k**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -14*q**2 - 5*q + 15. Let p(m) = m**2 + 2*m + 3. What is j(l) + 3*p(l)?\nAnswer: -11*l**2 + l + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -109 in 2, -1\/3, 5\/6, -26, -0.06?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13485\/1305*-4*(-12)\/32?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 529243 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 g = 981 - 622. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 528 and 21?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11263131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/2 of a microsecond in nanoseconds?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*t + 340*t**2 + 86*t**3 + 67 - 340*t**2 - 84.\nAnswer: 86*t**3 - 5*t - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 5*v**3 - 5*v**2 - 5*v - 3. Let m(p) = -2*p**3 + 2. Let w(k) = 2*m(k) - s(k). Let i(j) = 4*j**3 - 2*j**2 - 3*j - 3. What is -5*i(z) - 2*w(z)?\nAnswer: -2*z**3 + 5*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*6*sqrt(340)\/sqrt(40))\/(-4*(sqrt(2) + sqrt(2)*-1*-1 - (sqrt(200) - -1*sqrt(200)))).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t - 16 = -0*t. Let j(b) = 0*b + b + 3*b**2 - 4*b**t - 2*b**3 + 0*b. Let y(z) = -6*z**3 - 3*z**2 + 3*z. Give -11*j(m) + 4*y(m).\nAnswer: -2*m**3 - m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 459 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 + 8. Let i(o) = -o**3 + 18. Is 6 a factor of i(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of -g**3 - 5*g**2\/2 - 3*g + 3. Let c(f) be the first derivative of n(f). Is c(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mn when two letters picked without replacement from {m: 2, n: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*d**3 - 108 + 11*d**3 + 117)*(83*d - 83*d - 7*d**2)*(0 + 2 - 4).\nAnswer: -70*d**5 + 126*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24)\/(-1*sqrt(108)))**2 + 5*(sqrt(1250) + sqrt(50))**2.\nAnswer: 81002\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17 - 61*l - 3 + 20 to the form v + a*l and give a.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -973483 - -565383. What is w rounded to the nearest ten thousand?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 45 and 70635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -210200120 + -1022?\nAnswer: -210201212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 2, 0.1, -3\/8, 17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((28\/280)\/(5\/((-80)\/34)))\/(8\/(-5)).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -y**2 - 5*y**3 + 0*y**2 + 2*y**3 + (4*y**3 + 1 - 1)*(5299 - 11586 + 5166) as p*y**2 + d*y**3 + m + a*y and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1.949576t?\nAnswer: 1949.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, 161, 2, -82, 3 in descending order.\nAnswer: 161, 3, 2, -21, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 - 3. Suppose 0*x + t*m = 4*x - 42, 3*x - 2*m = 32. Calculate the greatest common factor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 6, v: 2, t: 3, g: 1}. What is prob of picking 1 v and 3 p?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -2*t**2 - 353*t - 7482. Calculate a(-154).\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 0*a = -3*m + 41, -3*a + 90 = -2*m. Let w be 4 + (-2 - a\/12). Does w = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1559709 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*i - 17*i + 24. Let r(a) = a**2 + 25*a + 28. Let z be r(i). Let s be 1086002\/12 + (-5)\/120*z. What is s rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 178 and 40228.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 67.5334 nanometers?\nAnswer: 0.0675334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 3*o = -37, 3*o - 16 = -4. Suppose 4*s = -s + z. Let g be s - 0 - 0\/1. Solve 3*r = 2*a - 4*a - 2, 0 = -g*r - 4*a - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22605203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1313.\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 172 (base 8) to base 15\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1233\/8 - -154. Which is the fourth smallest value?  (a) 1  (b) 4\/5  (c) q  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9053 (base 14) to base 8\nAnswer: 60301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 532*w = -2606 - 2182 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -125 (base 7) to base 6\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 - 2*l - 2. What is w(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 2:01 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 40, 55, 94, 169, 292, 475, 730?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2. Let f(y) = 310*y + 327. Let g(n) = -f(n) - 5*q(n). Is 49 a factor of g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40218, 160900, 362050, 643680, 1005802?\nAnswer: 1448428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -21. Let g = f + -16. Solve 0 = -5*s + g*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.315, 1, 0.2, -316, 4?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 113 a factor of 21006210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**2 + 4. Let h be s(0). Let q be (1 + 2\/h)*2. What is the second derivative of 3*x**3 - 2*x - 5*x**3 + 5*x + 5*x**q wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 1)*(-3*y**2 + 4*y**2 - 4*y**2) - y**2 + 3*y**2 - y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2440 + 11820. Round z to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -215809, -431616, -647423, -863230, -1079037, -1294844?\n\"Answer: -215807*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 819, 823, 827, 831?\n\"Answer: 4*h + 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(1*1\/(-2)). Suppose -c = 1, 9*h - 1 = q*h + c. Suppose 3*b - 3*y + 33 - 93 = h, -3*b + 36 = 3*y. What is the remainder when 47 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(3*(-32)\/24)*(-470)\/(-5)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 343248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*r - 23. Let y(v) = v**2 + 8*v - 5. Let l be y(-9). What is the least common multiple of 6*((-8)\/12 + l) and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 AM and 9:06 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from mfmffmmfmm.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -3*b**2 + 10*b + 8. Let a be q(4). Solve a*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*x + 3 = -8*x, -u - 7 = 21*x - 15*x for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3671338197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -68, 14, -4 in descending order.\nAnswer: 14, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 57, 0.1, -26 in decreasing order.\nAnswer: 57, 0.1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the third derivative of 1\/6*l**4 + 0 + 0*l**3 + 2*l**2 + 0*l - 1\/20*l**5. What is the second derivative of o(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5.6 - 6.1. Put -2, l, 0.2, 4 in ascending order.\nAnswer: -2, l, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 159*r + 146. Let x(s) be the third derivative of s**2 - 8*s - 53\/24*s**4 - 49\/6*s**3 + 0. Let m(q) = 3*f(q) + 8*x(q). Differentiate m(p) wrt p.\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**3 + s**2 + 7*s. Let f(h) = 4*h - 1. Let p be f(1). Let k be a(p). Let q = 9 - k. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40165 smaller than 40166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 231701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 9 times -2\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-7\/3)\/(m\/m**(-4\/23)))\/(m*m*m\/(m**(-2\/43)*m))**35)**40 assuming m is positive.\nAnswer: m**(-8917040\/2967)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 14*f + 905. Let q be w(-64). Solve q*p - 11*p + 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 4. Suppose -2*p = 2*c - 2 - j, 5*c + 4*p = 18. Let m(a) = 7*a**2 - 7*a. Let h(n) = 15*n**2 - 15*n. Calculate c*h(y) - 13*m(y).\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132) + (sqrt(132)*2*-3 - sqrt(132)) - sqrt(132))\/((sqrt(144)*1)\/sqrt(12)))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 28034 and 5350.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1035250 is divided by 857.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*d**4*u**3 + 8*d**3*f*u**3 - 5*d**3*f + 38*d**2*f*u - d*f + 2*u**3 wrt d.\nAnswer: -96*d*u**3 + 48*f*u**3 - 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*b + 1314 = -136, 3*d - 2183 = 5*b. Is 33 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -14556346 and -14556344 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -183*y - 695. What is g(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 191.6487 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*f = -64, -3*d + 8*f + 14 = -0*d + 7*f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 62, 608, 1608, 3134, 5258, 8052, 11588, 15938?\n\"Answer: 12*s**3 + 155*s**2 - 3*s - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of 25*h**3\/3 - 15*h**2\/2 + 4*h. Let z = 21 + -11. Is d(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -2610.\nAnswer: 2610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -3*a**2 - 2*a**3 - 2*a**3 + 4*a**2. Let z be r(-1). Suppose 0 = 1278*m - 1273*m. Put m, z, -2 in decreasing order.\nAnswer: z, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 1 = -5*z, 3*z + 41 = 5*d + 5*z. Solve 6*k + d = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0013293 to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 3*f - 16 = 8, -3*f = -5*s + 3. Let u be (-3 + 2)*3 + s. Suppose m = 3*b - 105, u = 4*b + 3*m - 188 + 48. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87.42118 years to decades.\nAnswer: 8.742118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 29014823?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 187084715681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -5584.288 rounded to the nearest 10?\nAnswer: -5580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of -g**7\/42 - 413*g**5\/20 + 223*g**4\/6 + 12*g + 18. What is the third derivative of l(p) wrt p?\nAnswer: -60*p**2 - 2478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/61 and -565241 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -38292 bigger than -38291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.331327 rounded to 3 dps?\nAnswer: 0.331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45440\/(-113600)*9\/12*8*25.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k. Let b(j) be the first derivative of -1\/30*j**5 + 0*j**3 + 0*j + 0*j**4 + 2 + j**2. Let s(z) be the second derivative of b(z). Give s(w(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1343609 is divided by 12796?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)*2 + sqrt(152)\/(sqrt(8) + sqrt(32)))**2*4.\nAnswer: 27436\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 2*c + 0)*(-15 - 37 + 34) - 8 - 5*c + 4*c - 3 in the form q*c + v and give q.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -93, -103, -111, -117, -121, -123, -123?\n\"Answer: a**2 - 13*a - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*m + 19*m + 2*v - 9166, -27463 = -3*m + v. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.03, -15, 1\/5 in decreasing order.\nAnswer: 1\/5, -0.03, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -6*s**2 + 628. Let n(d) = 8*d**2 - 620. Determine -5*m(v) - 4*n(v).\nAnswer: -2*v**2 - 660","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -4*w - 6. Let k = 4 + -2. Suppose -a + 4 = -k*a. What is the tens digit of c(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -16*j*o**2 + j*o - 4*j - 604*o**2 + 27576 wrt o?\nAnswer: -32*j*o + j - 1208*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 29 = 3*x + 2*x, 2*x + 3*u + 23 = 0. Let b = -2 - x. Let k = -2708 - -2718. Calculate the smallest common multiple of k and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(6\/5))\/j)\/j)\/(j\/j**(-2\/31))*((j**(-1\/2)*j*j)\/j*j)\/((j\/(j**(-7\/3)\/j))\/j) assuming j is positive.\nAnswer: j**(-2509\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 863 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of h**3\/6 - 4*h**2 - 6*h. Let n be t(12). What is the highest common divisor of n and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3267.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -322030000 + 21?\nAnswer: -322024424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5*10)\/((-21)\/1 + -1786*59\/(-5546))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1677, 1\/5, -33\/14 in decreasing order.\nAnswer: 1\/5, -33\/14, -1677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 + 20. Suppose -2*x = -g*x + 62. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**2 + h - 6. Suppose -4*f + 11 = 3*z - 2*z, 5*z = 2*f - 11. Let a be s(f). Let l be (a + (-27)\/6)\/(1\/8). Solve -9*r + 5*r = -l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 5*q + 5. Let v be m(3). What is the derivative of -9 + 7*o**2 + 5 - v*o**2 wrt o?\nAnswer: -26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(0 + 6\/(-6) - 3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1263 + 1266. Suppose -3*s + 6*s - 33 = 0. Suppose -t*b = 5*r - s, b = 2*r - r + 1. Calculate the greatest common factor of 8 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v + 0*v - 3*v)*(28*v + 0*v + 3*v).\nAnswer: -217*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 - 1)*(-20)\/40?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 784 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2042a (base 12) to base 14.\nAnswer: 1149c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 2*v + 1494, -4*y - v + 3727 = y. Suppose d - y = -4*d. Is (-8)\/(-24)*(d - 2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 12*h - 3. Let u be (-1)\/(2\/(-4)) + 2. Let a be z(u). Let p be (-1235)\/(-133) + 2\/(-7). What is the highest common factor of a and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:08 PM and 3:25 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*m + 0*m + 2 - m)*(-2*m + 3*m - 2*m).\nAnswer: -5*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) -13\/6  (b) 4  (c) 605\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oypooopi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, -1918, 4, 3 in decreasing order.\nAnswer: 4, 3, -3, -5, -1918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is b7 (base 12) in base 2?\nAnswer: 10001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3974939?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) -0.3  (c) 7\/5  (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 9) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1516436095 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: Suppose 4*j + 24 = -2*j. What is the third smallest value in 4, j, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 0.01418?\nAnswer: 5.01418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.004949024 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 151 - 147. Let a = -6 - -6. Let q = a + 0. What is the biggest value in g, q, -2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 252340 and 8?\nAnswer: 504680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -4) + 0 + -2 + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 53044870092 less than -0.2825?\nAnswer: -53044870092.2825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1750142?\nAnswer: 2, 241, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -112\/159 - -289\/636. Which is the nearest to t?  (a) 3  (b) -0.5  (c) 0.1798\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -76 divided by -4\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 433 divide 30217338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7623) - (-2 + sqrt(7623))**2 - sqrt(7623).\nAnswer: -7627 + 132*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -23970, -190768, -643502, -1525140, -2978650, -5147000, -8173158, -12200092?\n\"Answer: -23828*k**3 - 2*k - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -2*j + 31. Suppose 30 - 12 = p. What is the lowest common multiple of j and p?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*o + 58*o - 28*o.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 45, 120, 245, 420, 645, 920, 1245?\n\"Answer: 25*r**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -69*q**3 + 9*q**2 - 34*q + 66. Let f(x) = -23*x**3 + 3*x**2 - 11*x + 22. Let a(z) = 8*f(z) - 3*r(z). Let o be a(2). Is 180 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8952856 divided by 2238214\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 11*a**2 - 4*a - 3. What is the tens digit of i(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6465 + 58118\/9. Let j = a + 9. Find q such that -2\/9*q**4 - j*q - 4\/9 - 2*q**2 - 10\/9*q**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 14 - 4*d - d**2 + 2*d**2 + 3*d + 15*d. Let b be x(-13). Let r(f) = -14*f**2 - f + 1. Determine r(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/10 - (10 - (-304)\/(-40)). What is the hundreds digit of 6\/(-21) - (x + (-15504)\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 11 = 5. Suppose -3 = -3*s, -5*c + 5*s = i + 17. Which is bigger: c or -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 692 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of 3 - 1\/2*r**3 + 7\/2*r**2 - 1\/12*r**4 + 5*r. Give j(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23 + 2*j + 0*j + 21)*(4*j**2 + 5*j**2 - 7*j**2).\nAnswer: 4*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3683095 divided by 3683095\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-20 + 41 - 22 - 4*i)*(i**2 - i**2 - i**2) to the form d + u*i + o*i**3 + j*i**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/60*2)\/(4\/8)*5\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffsfsfffmjfwfwff. What is prob of sequence sj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/20 and 73\/2175300?\nAnswer: 2175300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s + 6*s + 10*s)*(3 + 0 - 4) + 2 - 2 - s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 1920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 2:46 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 + 2. Let a(h) = 9 - 5*h**2 + 2*h + h - 2*h. Suppose 5*r + 13 = 3*n, 4*n - 6 = -2. Let u = 7 - r. What is u*p(z) - 2*a(z)?\nAnswer: z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 3*y - 11. Let u be k(5). Which is smaller: u or 14\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**2 + 6*t + 15. Let y be k(8). What is the nearest to -0.2 in -2, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 + -29. Let o = 32 - 18. Let x = t + o. Solve x = 2*y - 4*y - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*s = 58*s + 2. Let d(n) = -7*n - 1 + 0 - 5*n + 4*n. Give d(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + (sqrt(2) - sqrt(22)\/(sqrt(539) - sqrt(11))) + (sqrt(8) + sqrt(24)\/sqrt(3))\/sqrt(4))**2 + ((sqrt(162) + -4*sqrt(162) + -4)*5)**2.\nAnswer: 5400*sqrt(2) + 663829\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*w = -169 - 434 - 1333 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -123*o**3\/4 - 5905*o**2\/4 - 17724*o - 144 = 0.\nAnswer: -24, -1\/123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*f - 86 = 2*k, -4*f - 16 = -1679*k + 1679*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 569.691 - -0.309. Let d = c + -570.00000681. Round d to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 45564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171)*-2 + 3)*-3 + 2)**2 + sqrt(209)\/sqrt(704) + 2*sqrt(1900) + 5.\nAnswer: -1855*sqrt(19)\/8 + 6210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 262538, 262557, 262588, 262631, 262686?\nAnswer: 262753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:57 AM and 11:17 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15.805 + 0.105. Let r = f + 16. Which is the nearest to -0.32?  (a) 1\/4  (b) r  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 - 4*g**2 - 6*g + 4. Suppose n + 10 = 15. What is h(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2285047.00044 and 0.19.\nAnswer: -2285046.81044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1546 is divided by ((126\/(-7) - -23) + (-49)\/5)*-10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3318741747?\nAnswer: 3, 397, 409, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20350)\/(-2442) - 203\/24.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 22.0928 to zero decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 2*u**2 + 22*u + 53. Determine t(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 10:47 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-120)\/100*40\/(-6). Let l(j) = 26 - 19 + 6*j - w*j. Let p(t) = 5*t. What is l(p(g))?\nAnswer: -10*g + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5 - -1)\/(-1) - -2. Suppose -d + q = d. Let k(a) = 0*a**2 - a**2 + d*a**2. Let t(c) = 4*c. Determine k(t(s)).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 21 = -3*j - 2*d, 0 = -4*d + 20. What is the common denominator of j\/(-7) + (-3047)\/(-693) and -49\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1550.3 plus 0?\nAnswer: 1550.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 2 + sqrt(1377) + -3)**2 - (-4 + ((0 + sqrt(1377))*4 + sqrt(1377) - sqrt(1377)))**2.\nAnswer: -20670 + 306*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 + o**2 - 1. Let s be c(-1). Let j = 72.2 - 72. What is the smallest value in s, j, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 47 = 5*p, -4*z - p - 118 = p. Which is smaller: z or 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + 1 + (8\/(-2) - 2). Let g(m) = -m**3 + m**2 - 7*m + 2. Is g(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 + 15*f**2 + 18*f + 1093. Determine c(0).\nAnswer: 1093","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 3*w**3 - 10*w**2 + 9*w - 4. Let v be h(6). Let n = v - 315. Solve 4*j + 1 + n = b, 1 = -j - b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12055 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 1441304*x**2. Let o(t) = -23*t. Give b(o(i)).\nAnswer: 762449816*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27 - 14 - 17*a**2 - 13.\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 955.383 litres to millilitres.\nAnswer: 955383","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: -2233 divided by -77\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 5 = 5*h, 3*b = 2*b + 2*h + 14. What is the units digit of (-24)\/b*(-46 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the third derivative of -1\/30*z**5 + 3*z**3 - 2\/3*z**4 + 0 + 39*z**2 + 0*z. Factor i(w).\nAnswer: -2*(w - 1)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 507 by -97829.\nAnswer: -507\/97829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**2 - 31*f - 1236. What is b(55)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (16 - 2)*(-2 + (-80)\/(-35)). Solve -13 = 3*f - 0*a - p*a, 8 = 4*f + a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 + 7*x - 17. Let p be f(-9). Suppose -4*m - 3 + 27 = 0. Solve m = s + p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*f**2 + 5*f**2 - 3*f**2 - 6 as k + o*f**2 + l*f and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 239267.8 millilitres to litres.\nAnswer: 239.2678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3*(-3)\/12)\/((-1)\/4). Let f be ((-36)\/8 + -3)\/(b\/(-4)). Suppose 2*q = z + 4, 3 = 2*z + 3*q - f. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 181549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 6) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(440) + sqrt(440) + -1*sqrt(440) + sqrt(440))\/sqrt(8))\/sqrt(11).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10, -89, -310, -745, -1466?\nAnswer: -2545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 4*b - 11 = 0, 5*g + 3*b - 4 = 7. Is g greater than or equal to 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 85 - -215. Let b = -300.000127 + o. Round b to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00029392984 to 5 decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 23672880 a multiple of 1220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3652507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1795 - 1804 - (0 + (3 - (0 - -35)) + 0)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-6)*(38 - 32).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47271293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -7356 <= -7339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 5*q + 22. Let k be r(-6). Put 0.1, 3, 2\/7, k in decreasing order.\nAnswer: 3, 2\/7, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = -358 + 360 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 63, 80, 85, 72, 35, -32, -135?\n\"Answer: -l**3 + 24*l + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.0331 + 148.9669. Let z = 148.99931 - t. What is z rounded to 5 decimal places?\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -2*x + 409. Let h(f) = -f**2 - 13*f - 44. Calculate h(a(o)).\nAnswer: -4*o**2 + 1662*o - 172642","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4bbd54 - 0?\nAnswer: -4bbd54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1653794 is divided by 1024.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 13625 = 5*k, 4*l - 10930 = -7*k + 9*k. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 917736 and 126?\nAnswer: 19272456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 516113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + 548a6?\nAnswer: 548a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 260311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.9 and -142649.\nAnswer: -142649.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -5*i**3 - 13*i**2 - 4*i + 6. Let d be o(-2). Solve 0 = -2*j - 3*a + 9, -37*a = -d*j - 41*a + 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -213774356703 from 5.\nAnswer: 213774356708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30*70\/175 + 486\/(-36).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 AM and 8:59 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 13*h - 17. Let a = -18 - -26. Let u be d(a). Let k = -51 + u. Calculate the highest common divisor of 24 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**3\/17 - 42*l**2\/17 + 142*l\/17 - 6.\nAnswer: 2*(l - 17)*(l - 3)*(l - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of 13*n**5\/5 - 2*n**3 - 39*n - 75. Differentiate i(l) wrt l.\nAnswer: 52*l**3 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -26*p**3 - 4*p**2 - 7*p**2 + 5*p**2 - 11*p**2. Suppose 12*w = 9 + 63. Let i(b) = 9*b**3 + 6*b**2. Determine w*g(y) + 17*i(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*g**3*m**3 + 11*g**3 + m**3 + 13*m**2 wrt g.\nAnswer: 6*g**2*m**3 + 33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14116 = 4*z + p + 378, -2*z - 4*p = -6862. Suppose 19*r = 3272 + z. Calculate the remainder when r is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 (base 12) in base 6?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -596 - 1530 = 121*f + 2910 + 1498 for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -167060 times 0.2\nAnswer: -33412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 313 + -299. Calculate the greatest common divisor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 409.08 + -397. Let r = -3 - 9. Let b = m + r. What is the second biggest value in 4, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 2*g**2 + 14*g + 4. Let w be p(-7). Solve -3*h + 3*r = 6, w*h = -4*r + 8 + 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1618724 divided by 59.\nAnswer: -27436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*s + 23*s = -525. Let d(k) = 5*k - 178. Let g be d(s). What is the closest to -0.4 in 1, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1208\/17 + -71. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2778 is divided by 313.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -5250*o + 5242. Determine s(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 449*s - 450*s + 7.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -329*l**3 + 1256832*l**2 + 489789660*l wrt l?\nAnswer: -1974*l + 2513664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*d**4 - 167*d**3 - 4*d**2 + 13379?\nAnswer: 8*d**3 - 501*d**2 - 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - (-25 + 13) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + 38. Suppose 4*k + i - 14 - 3 = 0, -13 = -4*k + 3*i. Suppose h + 5 = k*c. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, -3 in decreasing order.\nAnswer: 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2532 by -6.\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -94 + (4 + 8 + -6 - -8) + 14\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -4*c**2. Let r(x) = -35*x - 37*x + 73*x + 3. Let b be -2 + 1 - (0 + 2). Let q(k) = 2*k + 5. Let h(m) = b*q(m) + 5*r(m). Calculate h(s(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/2 + -1 + 0. Let n(m) = -m - 4. Let g be n(o). Let s be (-5)\/5 - (-19 + g). Calculate the highest common factor of s and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 3, -1155057, 0, -1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q**2 - 5. Let t(n) be the third derivative of 0 + 0*n**4 - n**2 + n**3 + 1\/30*n**5 + 0*n. Calculate -4*a(r) - 3*t(r).\nAnswer: 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 32 + -15. What is the highest common factor of 51 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -135  (b) 0.1  (c) 120  (d) 168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c - 11 + 19 - 21.\nAnswer: -2*c - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + (2 - (-8)\/1). Let v be 35*(-2 + j\/5). Suppose a + v = 3*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -3\/5  (c) -287  (d) -3  (e) 1\/15  (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4142*g*m + 8160*m wrt g?\nAnswer: 4142*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaxxairixbxaxb. Give prob of picking 1 b, 1 i, and 1 r.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 119 - 46. Suppose -4*h + 2*i = -66 - 36, 0 = -3*h - 2*i + v. Let o = h + -27. What is o rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -2*r + 11. Let j(n) = -n + 6. Let y = -592 + 594. What is y*s(a) - 5*j(a)?\nAnswer: a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -0*a + 5*u + 9, 2*a + 3*u = -4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 - 4*i**2 - 6*i - 6. Let x be y(5). Suppose 106 - 127 = 3*m. Which is greater: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 908974 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*d - 10*d = -346. Let h = 647 + d. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -12, 520 in decreasing order.\nAnswer: 520, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 9*q**2 + 2*q + 1. What is g(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*6\/8*(-414596)\/(-23919)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 AM and 12:40 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 300 or 1721?\nAnswer: 1721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4115.575 meters to centimeters.\nAnswer: 411557.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -119 + 209. Let v = -296159 - -296191. Calculate the remainder when b is divided by v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x - 2*x - 5*d + 775, 2*d = 10. Suppose 5*f + 5*o - 150 = 0, o = -5*f + 6*o + x. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3284 + -940. What are the prime factors of z?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide (32\/(-3))\/(2\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-240)\/4)\/(-15)*1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2*(0\/(-1) - -2). Let x(d) be the third derivative of d**5\/60 + 5*d**4\/24 - 29*d**2. Calculate x(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1321 = 69*p - 1837 - 4639. Solve p = -7*c + 134 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 651 is divided by 64?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-637)\/(-147)*(-1)\/(-13)*(0 + 172 - 1).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - g + 164 = 0, 3*u + 5*g + 178 = -282. What is u rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 4 + -21 + 22\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14052 + 0.3?\nAnswer: 0.44052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 43, 111, 233, 415, 663?\nAnswer: 983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 + 37*j - 9. Let z(n) = n**2. Let v(o) = -f(o) - 3*z(o). Let t(h) be the first derivative of v(h). Is 6 a factor of t(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2\/21, 0.2, 3\/5 in ascending order.\nAnswer: -2\/21, 0.2, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 501 - 178. Calculate the highest common divisor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4 - 132\/(-42)) + 13\/7. Let z = -6 + 5.97. Let o = z - -0.13. What is the second biggest value in o, 1\/6, m, -4\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7548.056 millilitres?\nAnswer: 7.548056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2641 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.06 + -1.94. Let w = n - -1.9. Let b be ((-1)\/(-7))\/(3\/6). Which is smaller: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3870 divided by 6.\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 474037212*o**5 + 805156003*o.\nAnswer: 9480744240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0*(2\/(-2) + -2 + 4). Suppose 5*s + 10 + 0 = 0, -4*w + 3*s + 26 = 0. Solve 5*q - 2*a - 7 = p, -4*q + 35 = q + w*a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -600, -599, -598, -597, -596, -595?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.21645 - -436?\nAnswer: 436.21645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 31*y**2 + 17*y - 1265. Let d(q) = 11*q**2 + 6*q - 421. Give -17*d(b) + 6*x(b).\nAnswer: -b**2 - 433","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 53 + 7 = 0. What is the nearest to 2 in -0.2, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 89 and 5696.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of q**4\/12 + 13*q**3\/6 + 3*q**2. Let c be x(-5). Determine h so that -h**c + 74*h**2 - 73*h**2 + h + 1 - 1 - h**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 153946, 307857, 461768, 615679?\n\"Answer: 153911*d + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 + -5. Let g = 2.6 + -2.7. Let k = 8.3 + -8. What is the third smallest value in g, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 + 17. Suppose -5*z = -4*q - 60, 3*z + f + 9 = -q. Is -15 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) 0.3  (b) -5  (c) 0.1287  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81069?\nAnswer: 3, 61, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 3*k = -130, -4*k + 90 = 5*p + k. Suppose 5*j + 18 = p. Are j and -2\/59 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13903*t + 2643396 = 849909 for t.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - 79?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1002220210 (base 3) to base 5.\nAnswer: -1144220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 4*q**3 - 19*q**2 + 559*q - 1060. What is a(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8057)\/(-1449)*-9 + 1\/23. Sort j, 0, -2.\nAnswer: j, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 42\/29 and -113\/2262.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + 121122212?\nAnswer: 121122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -161*r**2*w**3 + r*w**3 - 196*r wrt r?\nAnswer: -322*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -17, -3\/4, -2, 3, -0.06085 in ascending order.\nAnswer: -17, -2, -3\/4, -0.06085, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 + 64*c**2 + 109*c - 944. Give h(-62).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -34*m - 120. Is 10 a factor of f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 78, 291, 646, 1143, 1782, 2563?\nAnswer: 3486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, g: 5, n: 2}. What is prob of picking 1 n and 1 s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 2*g = -75. Suppose 3*h + 0*h + 5*v = g, 0 = h - 3*v - 27. Let p = 30 - h. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + p + 11 = 0, -m + 6*p - 8*p - 7 = 0. Put 5, 3, m in decreasing order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/994152 and -8\/1801.\nAnswer: 994152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28 - -45) + (-14 - 8) - 18?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 6:12 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6068 by 148.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-17)\/(-34)*(-1 - -445)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 5*r + 2, 3*k - 7 = -2*r + 2*k. Suppose 0 = -5*u - 3*l + 40, 0*u - u - r*l = -8. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 272.2548 kilometers in centimeters?\nAnswer: 27225480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3980, -3957, -3932, -3905, -3876, -3845, -3812?\nAnswer: -3777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -12*x**5 - 79664*x**4 + 664592*x**3 - 717912*x**2 - 239236*x + 372232 = 0.\nAnswer: -6647, -2\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6758921 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5200 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -22*i**3 + 3*i + 2. Let k be s(-1). Let u = k - 70. What is the units digit of 4\/4 + -3 - u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 322 and 6246202.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Is 380441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -6197859 - -2949.2746\nAnswer: -6194909.7254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1130571 - -9113?\nAnswer: 1139684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -9651 and 24590.\nAnswer: -237318090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3067\/2 + 1528. Which is the nearest to 1\/4?  (a) 0  (b) 1\/7  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4102 + 9729. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48815893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*c + 12. Are -0.2 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3927 - 1052 = -125*c for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide (-4 + 6 - -1438)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57 + 3 = -18*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 1035*g - 18629. Let u be j(18). Let o(z) be the first derivative of -1\/16*z**6 + 0*z - u - 3*z**2 + 3\/4*z**4 + 0*z**5 + 0*z**3. Factor o(r).\nAnswer: -3*r*(r - 2)**2*(r + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-29)\/(-232))\/(140\/(-224)))\/(3\/10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 127 = -55. Solve -4*v + 6 = -8*o + 9*o, 0 = 2*o - 4*v + u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 49479725\/2099 - 23573. Let d = l + 182629\/16792. What is the common denominator of -91\/4 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 7, z: 7, j: 4}. What is prob of sequence jpp?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4326 and 16995?\nAnswer: 237930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*l - 2*w + 64, -29*l = l + 4*w + 580 + 346 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 115647286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4212 or 0?\nAnswer: 4212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -5*b + 116, m + 3*b - 71 + 11 = 0. Suppose -a - 5 - 1 = 0. Calculate the common denominator of ((-52)\/(-16))\/(a\/(-32)) and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1800\/288*10016\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k + 4. Let q be y(0). Suppose -q*u = -9*u + 10. What is the second derivative of u*l - 2*l**2 + 3*l**2 - 3*l**4 - l**2 wrt l?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/12 - (-225)\/54. Let m = w - 1. Suppose 8 + 19 = m*i. Solve -i = -5*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11334 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1437+5403666.21\nAnswer: 5402229.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1517384 and 8084.\nAnswer: 71317048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 3760639.905 to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/n**(-2\/29)*n\/n**(2\/3) assuming n is positive.\nAnswer: n**(122\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 99701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -41 (base 13) to base 16.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - 2*z - z)*(6 + 149 + 63)*(-2 + 2*z**3 + 3*z - 3*z).\nAnswer: -436*z**4 + 436*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13 + 0*3\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*y + 19 = 4*t + 359, 36 = -y + 34 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (9 + 2*z**2 - 9 - 5*z)*(-z**2 + 2*z**2 + 0*z**2) in the form b*z**4 + y*z**2 + d + v*z**3 + u*z and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes after 12:52 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lfoofooooaofapaoop. What is prob of sequence folf?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of -15 + 29\/3*i**3 + 0*i**2 + 0*i. Let s(m) = 9*m. Give t(s(z)).\nAnswer: 2349*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k**2 - 498*k + 8145 = 0 for k.\nAnswer: -181, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18849748.\nAnswer: 2, 19, 197, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*g**2 - g**2 - 14*g**2)*(-5*g**2 - 7 + 7) as x + m*g**2 + l*g + d*g**3 + u*g**4 and give u.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 11:22 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -n**4\/5 + 18946*n**3\/5 - 89300913*n**2\/5 - 4137957968*n\/5 - 47702054464\/5 = 0. What is n?\nAnswer: -23, 9496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17625406.68 nanoseconds to weeks.\nAnswer: 0.0000000291425375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000567 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13436446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -450919699 - 4.\nAnswer: -450919703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 248101 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*l + 24*l = -15. Solve 2*y = r - l + 13, 3*r - 6 = -3*y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in twenty-seven fifths of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 AM and 3:57 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, -5, 5, 1168?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10\/9*w - 2\/9*w**2 - 8\/9 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (25 - 71) + (-144 - -66)\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3414, -3250, -2668, -1458, 590?\nAnswer: 3686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 357.849 * -3.6\nAnswer: -1288.2564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -585698257 and 0.3?\nAnswer: 585698257.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2*(33\/21)\/(2\/(-14)). What is the greatest common factor of i and 472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 0*x + 45 = 0. Let r be 13\/5 - (-170)\/425. Suppose -a - r*u = a - x, -a + 3*u + 27 = 0. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of 4*c**3\/3 - 4*c**2 - 12*c + 57. Let d(z) = 0. What is z?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 831037, 831032, 831013, 830974, 830909, 830812, 830677, 830498?\nAnswer: 830269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 23019467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 3, -1\/6, 68956, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*u - 627 + 63 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*h + h + 0*h + (4 + 1 - 4)*(1 - 1 - h) + h + 4*h - 4*h + 16 - 11*h - 16 - 1 + 2*h + 1 + (-1 + 1 + 1)*(4*h + 10*h - 10*h) to x*h + l and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, -2\/19, 0.3, -161?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/3 or -0.7872?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1081 in 0, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/(-2) - (-7)\/14. Let s(h) = -5*h + 1. Let x(m) = -4*m + 1. Let y(u) = 4*s(u) - 6*x(u). What is the units digit of y(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 - 5*s**2 - 3*s - 9. Let m be z(6). Let n(b) = 2 - 2*b + b - b - b**2 - m*b. Let h be n(-8). Calculate the highest common factor of h and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63 = -5*f - 2*f. Calculate the least common multiple of 70 and (3 - 2)\/(f\/567).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + 6 = -4*t. Let r be (-6 + -1)*((-36)\/28 - -1). Solve -z + t = 3*v, r*z - v + 2 = -3*v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + (-1 - -2*8). Let v = 8 - f. Let w be (-2)\/(-3)*v\/(-1). Solve w*a = k - 3*k + 6, a + 2*k = -6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of c**6\/6 + 32*c**5 - 817*c**4\/4 + 1316*c**3\/3 - 330*c**2 - 10674. Let o(q) = 0. What is q?\nAnswer: -165, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1340, -3398, -11294, -22348?\nAnswer: -36560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3048727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {g: 1, b: 1, l: 3, v: 1, w: 3, a: 11}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38613.63 millilitres to litres.\nAnswer: 38.61363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -80 - 0?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 111 - 96. Solve m + 3 + 10 = -5*i, 5*m = -j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 2*f**5\/5 - 19492*f**4\/15 - 45526*f**3\/15 + 12996*f**2\/5 + 15608*f\/3 - 52016\/15 = 0.\nAnswer: -2, 2\/3, 1, 3251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 453 and 950847?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 9936, 9918, 9890, 9852, 9804?\n\"Answer: -5*g**2 - 3*g + 9944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2716 and 10185.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, n: 5}. Give prob of sequence nb.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**2 + 3666026*f + 14664136 = 0. Calculate f.\nAnswer: -4, 1833017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:02 PM and 6:19 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.041874 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2021 - 1120?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/5, -7, 2, 246, -1\/3 in descending order.\nAnswer: 246, 2, -1\/3, -4\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6, 0.02, 9, -11, -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -200983, -401964, -602953, -803956, -1004979, -1206028?\n\"Answer: -f**3 + 2*f**2 - 200980*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7506337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-24)\/(-10)*(-120)\/(-18). Which is greater: c or 15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1129*b*k**2*m**2 + 4324*b*k*m**3 + 15*k**2*m**3 - 4*k*m + 18790*m**3 wrt b.\nAnswer: 1129*k**2*m**2 + 4324*k*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 3*z**2 + 11*z + 3. Give f(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/225 at least -12.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1\/4 - 13\/36. Let v = -0.09 - -0.04. Sort v, 2\/11, w in ascending order.\nAnswer: w, v, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 444 - 291. Let n = -26 + h. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 + 0)*1\/(-16). Let t = 50.593 + -51.1. Let j = -0.607 - t. What is the closest to 2 in j, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1678030255?\nAnswer: 5, 11, 607, 50263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-320)\/(-56))\/(-4)*7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 3*v**2 - 65*v + 357. Let p be s(10). Let x(l) = -l**3 + 4*l**2 + 6*l + 11. Calculate x(p).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.9 and -30385472623?\nAnswer: 30385472622.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 78 from -321846.\nAnswer: -321924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5254.095 millilitres to litres.\nAnswer: 5.254095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u, 1 i, and 1 p when four letters picked without replacement from uiupupuivvv?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -347*x + 1674. Calculate o(5).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-g + 30 - 16 + 7)*((3 + 0 - 1)*(2 + 2 - 3) - 4 + 11 + 1) to the form s + l*g and give s.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2287*l = 2291*l - 1620. Let q be (-38)\/(-5) + (-243)\/l. Solve q = -3*i + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i\/i**(-6))\/(i**(3\/11)*i))\/((i\/i**(3\/7)*i)\/(i*i**(6\/5)*i)) assuming i is positive.\nAnswer: i**(3217\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3629*r**3 + 11*r**2 + 80.\nAnswer: 21774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -17*o**2 - 322*o - 34. Calculate s(-20).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/((4\/(-14))\/((-12)\/7)). Suppose -2*w = -4*f - 0*w + b, -5*f + 2*w + 28 = 0. Solve 0*z + f = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - 4*c + 19, -c + 13 = 4*l - 0*c. Let 1\/2*n**4 + 0 + n**l + 1\/2*n**2 + 0*n = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 42252*d*q - 102301*d wrt q?\nAnswer: 42252*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2. Let w(y) = 566*y. Determine w(l(x)).\nAnswer: 566*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1)\/y)**(-2\/105)*y**(-5)\/y**0 assuming y is positive.\nAnswer: y**(-521\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/159 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -204.71*-2\nAnswer: 409.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9 and 187?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 669925.2mg to micrograms.\nAnswer: 669925200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3\/4, -0.07, 3.\nAnswer: -0.07, 3\/4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-6))\/(85\/(-306))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -50216 from -55145.\nAnswer: -4929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -815 - -17927\/22. Calculate the common denominator of y and 25\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17 - (25 + -10)) + (1 - (10 + -2)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 16*p - 2639. Calculate d(165).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 203101152827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together -75651 and -99.\nAnswer: -75750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 503671 and 266.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*d**5\/4 - 25*d**4 - 259*d**3\/4 + 359*d**2\/2 - 56*d - 32 = 0 for d.\nAnswer: -8, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (12 - 7) + 4 + -2 + -5 - 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 17929 less than -8889975?\nAnswer: -8907904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 43.2 - 4.2. Let t = -38.7 + i. Let h = -0.09 - -0.29. Which is the biggest value?  (a) -1\/4  (b) h  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3631830 to the nearest integer?\nAnswer: 1906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 2*l + 189 + 129 = 0, -l + 449 = 3*b. Solve 0 = 37*y + b + 144 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c**3\/9 + 13*c**2\/9 - 56*c\/9 + 80\/9 = 0. What is c?\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -23.22009664 to 3 decimal places.\nAnswer: -23.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 4*d + 68, -4*v + 3*d + d = -136. Suppose -11*f = -5*f - 24. Suppose v - f = 5*y. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 10. Which is the nearest to 0.1?  (a) i  (b) -1\/2  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 186*o - 359*o - 2337*o**2 + 173*o + 2339*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9\/4 or 30276.56?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -91 + 90.8. What is the nearest to -2 in n, -4, 0.1, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 less than 1645\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 m when three letters picked without replacement from wsmssmmwmggsgwqmsgmr.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2403175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20460 and 518960.\nAnswer: 530896080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8.343 - 789.043. Let v = -781 - h. Which is the third smallest value?  (a) -3\/4  (b) -2\/11  (c) 20  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 436.672 millennia?\nAnswer: 4366.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in 0.1, -1, 3, 2.57, -1\/10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 - (-2)\/(-8))\/((-12)\/(-32)). Solve -2*o - 1 = -3*o, -n*q - 5 = o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - 1123313203021?\nAnswer: -1123313203030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 2*h**2 + 2. Calculate r(-5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 117*l + 6532 = 5596 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 7:23 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -38\/1761 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 24877363751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 - 22*m - 40. Suppose 2*x = 5*x + 60. Let g be d(x). Does 13 divide (3 - (-34)\/6)*(g + 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = 2*u - 45 + 28, -4*o + 60 = -10*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 112396 and 54.\nAnswer: 3034692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 420804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 5*k - 175, 0*k = b - 3*k - 25. Suppose -15*i + 11*i = -b. Let m = 421 + i. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6345 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: Express -3 + 3 + 2*m + (m + 0*m - 2*m)*(1 - 3 + 3) - 317*m + 1066*m + 2202*m in the form k + r*m and give r.\nAnswer: 2952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.112301 millilitres to litres.\nAnswer: 0.002112301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 5690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-428)\/(-48) - 6\/(-8). Let b = 503\/4 - 253\/2. Put b, -1\/3, -5, l in decreasing order.\nAnswer: l, -1\/3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 3*n = 8*z + 16, -2*n = 5*z + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -132477 (base 10) in base 5?\nAnswer: -13214402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 54 - 38. What is the first derivative of 16*n**3 - 14*n**3 + 14 - d*n**3 wrt n?\nAnswer: -42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 47637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 24\/32*(-200)\/(-45)*(-21672)\/1505\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 5, t: 3, d: 2}. Give prob of sequence tw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-11)\/(-3) - 2\/(-6). Suppose 2*c - 5*c - 2 = -u*i, -5*c - 3*i = -45. Suppose -5*r = 5*b - 75, 0 = r + 3*b - c - 15. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2\/7 + 5163824*z\/7 - 3333134787872\/7.\nAnswer: -2*(z - 1290956)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + 6*r - 5. Calculate l(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 194*j**2 - 11*j - 15. Let a be t(-12). Suppose 3*z - a = -4*o, -3*z = -3*o - 38411 + 10379. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 2*y - 30, -4*y = -2*b + 3*b - 40. Suppose 0 = -y*n + 57 + 132. Calculate the highest common divisor of n and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89 = 6*z - 151. Let p be 6 + (-4*1)\/(-2). What is the highest common factor of z and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(6\/7)*g**(-1\/10))\/(((g*g**2\/g)\/g*g)\/g)**(2\/61)*g**4\/(g**(1\/4)*g)*(g**(-2\/5))**(-6) assuming g is positive.\nAnswer: g**(50167\/8540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, -2, -4, 107791?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.06 + -0.36. Let w = -0.02 + -2.98. Let z be 4\/6*90\/12. What is the smallest value in w, z, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 161821894 to the power of 1\/4, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (8 - 264\/30)\/((-4)\/(-30))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.6 times 0.0362\nAnswer: 0.02172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-22)\/(-4) + -1)*(-56)\/(-6) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 837204?\nAnswer: 2, 3, 69767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99)\/sqrt(3))\/sqrt(3) + 4 + 0.\nAnswer: sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**3 - 23*z**2 - 111*z + 84. Let g be h(27). Solve -7*a + 3*a = -g*k - 1, 4*a = 5*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65*-0.0259.\nAnswer: 1.6835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 0*i - 4*m - 4 = 0, -5*i - 5*m = 15. Let c be (0 - i - -2) + -28. Let j = -11 - c. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-160)\/16)\/(-10))\/(2\/(-16))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of g*k*s**2 + 27*g*k + 209*g*s**2 - 83*g - 3*k*s**2 + 3*k*s + k - 388317 wrt g?\nAnswer: k*s**2 + 27*k + 209*s**2 - 83","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-10)\/(-3))\/((-1)\/6). Suppose -255 = -2*g - 3*g. Let o = v + g. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002026491172 rounded to 7 dps?\nAnswer: 0.0000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 2*q = -11, -1966 + 1950 = -2*l - 5*q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 58.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1682050 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -3417027.2?\nAnswer: -1708513.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((7\/(-28))\/((-3)\/(-12)))\/(-13)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1273 is divided by 331?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2504238 and 2508?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 120, 2, -2, -46, -158.\nAnswer: -158, -46, -2, 2, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of m**5 + 10*m**4 - 25*m**3 + m**2 - 5167*m + 23 wrt m.\nAnswer: 60*m**2 + 240*m - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12332 (base 5) to base 3.\nAnswer: -1022211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*s**2 - 725*s + 96 + 408*s + 319*s to w*s**2 + n + b*s and give n.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 11433760 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 12 = -3*o + 3*v, 10 = 2*o + v. Solve 2*w = -2*n - o, 2*w = 2*n + 1 - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h + 8. Let n be m(-7). Solve q - n = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18 and 181524177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -38b3960 - -1?\nAnswer: -38b395b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2\/6 + 9743*z\/6 - 9745\/3.\nAnswer: (z - 2)*(z + 9745)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 + 18 + (-9 - -7). Suppose -2*n - 4*t = 3*n - 22, 3*t - d = -4*n. What is the second derivative of 5*z - 42*z**2 - 4*z + 37*z**n wrt z?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the third derivative of -7*y**6\/60 - 5*y**3\/3 + 5*y**2. Differentiate j(o) wrt o.\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 5*p**2 - 6*p - 6*p**2 + 6 + 0. Suppose 3*z - 48 = 2*y, z - 5*y - 26 - 3 = 0. Calculate the lowest common multiple of s(-6) and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1026, 1, -7775 in ascending order.\nAnswer: -7775, -1026, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4.96 - 0.04. Let v = -2 + 2.2. What is the closest to -0.3 in v, -4, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 86, 101, 126, 167, 230, 321, 446?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*a + 2*q, 0 = 6*a - 3*a - 5*q - 12. Let g be ((-12)\/8)\/(a\/18). What is the derivative of -5 - 2*z**2 - 27*z + 0 + g*z wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1503*d**2 + 280 - 298 - 1502*d**2 - 161*d to the form k*d**2 + m*d + i and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(49) + sqrt(147)\/sqrt(12))\/sqrt(7).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/630912 and -55\/216.\nAnswer: 5678208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, k: 9, c: 4}. What is prob of picking 1 k and 1 c?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -23*u**3 + 17*u + 29. Determine i(-2).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17315 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18586950 by -6195650.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 2*a - 21. Let f = a - 3. Solve -f = -0*w - 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lo when two letters picked without replacement from {n: 1, l: 1, o: 2, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.30553707 rounded to four dps?\nAnswer: -0.3055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o*o**(-2\/7)\/o)\/o)\/(o*o**(2\/7)))**(-2\/33))**(-27) assuming o is positive.\nAnswer: o**(-324\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2977329 divided by 3\nAnswer: -992443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 215634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -22*v - 159 - 149 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*-1*sqrt(88) + sqrt(88)*1*-2)\/(sqrt(32)\/(2*sqrt(64) - sqrt(64))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 - 3. Suppose 5*c + 6 = -4*w, 8 + s = -5*c. Let g(r) = 3*r - 7*r + 16 - 15 + 3*r. Let o(p) = -3*p + 5. Calculate w*o(l) - 4*g(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 5*k + 129. What is s(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 c when three letters picked without replacement from {j: 1, w: 7, c: 3, e: 5}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -5 - 4 - (3 + -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wgwwy. Give prob of picking 2 y and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 21 - 11. Let g = a - 6. Suppose 0 = -o - 3*j + 27, -j + g*j = 12. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 + 2*a - 22. Suppose 0 = 14*t - 12*t - 50. Let r = t - 32. What is the tens digit of x(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (330\/(-99))\/(20\/24*2\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -17*t - 13. Let p(n) = 9*n + 7. Let d(j) = -11*p(j) - 6*x(j). Is 3 a factor of d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -149081993 divided by -17.\nAnswer: 8769529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 506390?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26409*m + 1 = w + 26414*m, -5*w + 5 = 3*m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 33 = 14 + 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrefr. Give prob of sequence ref.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/68*(1 - -1))\/(52\/52).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2\/73)\/(z\/z**2))\/(z**14)**32)**18 assuming z is positive.\nAnswer: z**(-587394\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 1419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16238?\nAnswer: 2, 23, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 20 = 5*w, -8*w + 8 = -6*w. Solve -3*o + 6 = p - l, -4*o + 19 = 5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 156014 and -316.\nAnswer: 155698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(2\/17)*s*s*s)**(12\/13)*(s**(-7)\/s)**(-40\/9))**(-21\/5) assuming s is positive.\nAnswer: s**(-535108\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -104664*h**4 - h**3 - 1088*h**2 - 919*h + 6742?\nAnswer: -1255968*h**2 - 6*h - 2176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 580709462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Do 2\/11 and -9.3175 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 236859 to the nearest one thousand.\nAnswer: 237000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*n**2\/5 - 472*n\/5 - 7912\/5 = 0 for n.\nAnswer: -86\/7, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 233 + -275. Let k = l + 42. Solve k = -3*z + 15 - 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/22199 or 0?\nAnswer: -4\/22199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(-24) + 1 + ((-50)\/(-9) - 6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9926.\nAnswer: 2, 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -21 - 2208*o + 26*o**2 + 2208*o wrt o.\nAnswer: 52*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 307\/2 - 154. Let s(i) = -4*i + 3. Let n be s(2). Let b = 0.39 + 0.01. What is the third biggest value in n, z, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 459439422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + 2*r - 315. Let x be (3\/20)\/(r\/(-14) + 6). Which is the fourth smallest value?  (a) -1  (b) x  (c) 5  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 831.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (24\/(-2))\/(1 - 2) and (3654\/147 - 12\/14) + 3.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1207884075.\nAnswer: 3, 5, 29, 555349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -207030 at least 123\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 2 l when four letters picked without replacement from lpfzfffkl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 65, 3, 2 in descending order.\nAnswer: 65, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -4*c + 23. Let y be v(7). What are the prime factors of -4 + ((-2103)\/y - (-62)\/155)?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o**(-2\/21)*o**(-9))\/(o**(-2\/23)\/(o*o**(-8))) assuming o is positive.\nAnswer: o**(-6766\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24241 is divided by 209.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 - i**2. Let u(c) = 9*c**3 - 8*c**2. Let t(a) = 6*b(a) - u(a). Find the third derivative of t(r) wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3234 and 3234.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6735 - -6731. Sort t, -3, -5, 136 in ascending order.\nAnswer: -5, t, -3, 136","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -38\/551909 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 10 = -2. Suppose 2*k + f*k = 0. Suppose k*y - 3*y + 180 = 0. Calculate the greatest common factor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.3 + 1.6. Let v = -1.7 - 4.5. Let l = -6.4 - v. Which is the smallest value?  (a) -1.2  (b) i  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + 0. Suppose 4*h - 21 + 1 = 0. Let g be 0\/h + 2\/x. Sort 3, -4, g in increasing order.\nAnswer: -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 162 = -c + 18*c + c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-4))\/((25\/2)\/(-5))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tbbtppbbtbbpbtpp. Give prob of sequence ptb.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 4*o - 17. Let t(m) = -m + 4. Give 2*q(r) + 9*t(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 304 + -330?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**2 - 2*s - 8*s**3 + 0*s**2 + 3*s**3 + 2*s**2 in the form w*s**3 + o*s**2 + d + z*s and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 13*h + 234. What is f(-17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*p + 6. Let y(i) = -2 - 4*i**2 + p*i**2 - 4*i + 0*i**3 - i**3. List the prime factors of y(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22386 divided by 3.\nAnswer: 7462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 7864*j**2 - j. Let o(g) = 33*g**2. Let q(z) = -28*z**2. Let p(c) = -6*o(c) - 7*q(c). What is d(p(n))?\nAnswer: 31456*n**4 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 - 21*j**2 + 87*j + 29. Calculate f(12).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/((-4)\/(-24)*3). Suppose 0 = 3*c - r*c - 2. Suppose -c*h + 1 = -5. Solve 2*d + 1 = h*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -4*s**4 + 328492*s**3 - 1189717020*s**2 + 1465759440900*s - 605086731306000 = 0?\nAnswer: 1245, 78388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - h + 47, 10 = -2*x + 23*h - 27*h. Let u(v) = -19*v - 91. What is the smallest common multiple of u(x) and 5?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -63 + 111. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 267764.8 litres?\nAnswer: 267764800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12471962999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 4787, 19492, 44001, 78314, 122431, 176352?\n\"Answer: 4902*g**2 - g - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tqkk when four letters picked without replacement from kqkkkqqkqtk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 493 = -3*p - 4*x, 498 = 3*p + 3*x. Calculate the greatest common factor of 23 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19.78+-142457\nAnswer: -142476.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 200031313210 (base 4) to base 10\nAnswer: 8445412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -6*r**4 - 12*r**3 - 9*r**2 - 3. Let o(v) = v**4 + v**3 + v**2 + 1. Let m(d) = 3*o(d) + x(d). Find w, given that m(w) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:06 PM and 10:40 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -65+-2931059384749\nAnswer: -2931059384814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 800*s**4 + 4*s**3 - 11260*s**2.\nAnswer: 19200*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4.371 in 4, -1\/3, 0.29, 0.2, -0.3, 10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*d**4 - 4*d**4 - 9*d**4 + (0*d + 0*d + d**2)*(d**2 - 3*d**2 + 4*d**2) to j + l*d**3 + w*d + n*d**4 + g*d**2 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -123*r**2. Let h = -598 + 620. Let m(a) = -a + h*a - 15*a - 5*a. Give c(m(s)).\nAnswer: -123*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-32 + (-305)\/(-10))*10\/(-1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*c + 39*c + 161*c = 40*c + 14331 for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -99 or -52?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5403 - -9783. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 118173591 to the power of 1\/2, to the nearest integer?\nAnswer: 10871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2 + 7*j + 2. Let d be p(-6). Let s = d - -8. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6499*b - 4695 - 16436 - 115348 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0011525575 to five dps.\nAnswer: -0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 143557 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -5*g - g**2 + 6*g + 3*g. Let x be r(3). Solve 0 = -x*l + 2*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.1 and -17098137?\nAnswer: 17098137.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(2\/5))\/z**2)\/(z**(2\/5))**(4\/7) assuming z is positive.\nAnswer: z**(-57\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 3:34 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**2 + 270*v - 9762. Determine l(43).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 109.09 in 0.1, 3, 0, -2\/7, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6\/1187 - -1133\/10683. Which is the fifth smallest value?  (a) -1\/5  (b) 2\/13  (c) -0.5  (d) m  (e) -2.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000062934 rounded to six decimal places?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 + 17. Suppose -2*z = 4*h, z + g*h = 4 - 10. Is 4 a factor of z\/(-4)*(-14 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 180040, 360079, 540118?\n\"Answer: 180039*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 = 44*h - 8*h + q, q = -3*h - 3*q + 2*q + 4*q - 3*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by -18\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, 1\/2, 40, 3?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 145 + -4. Suppose 3*f = -2*v + 6, 3*v - 5 = -3*f + 1. Suppose -f*m = m - c. Is 27 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 45*n - 666. Let q be z(20). Calculate the highest common factor of q and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24249?\nAnswer: 3, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3 - 4)*(-1)\/(-2). Which is the third smallest value?  (a) -1  (b) f  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 130*b**2 + 1307*b + 135. Calculate v(-10).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 28\/16*4 + 1865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1337 + -1347. Let c(s) = 18*s - 1. Let q be c(10). Let v = q + x. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.32892 + 0.04908. What is z rounded to 2 dps?\nAnswer: 1.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13089 = -3*q + 3*m, 14708 = 4*q - 5*m - 2742. Is 1\/(2 - q\/2185) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -acba - -3b5c?\nAnswer: -715b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -335*z + 676*z - 345*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 42 = -0*k - 3*k, 2*k = 2*i + 42. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/18 and 21\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {s: 4, r: 1, n: 8}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 4*k + 17. Let m be s(18). Suppose -3*w = -13 - m. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = l + 15, 2*l - 2*f - 1 + 7 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175) - sqrt(175)*1*-2) + sqrt(175).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -3*w**5\/5 - 48*w**4\/5 + 174*w**3\/5 + 48*w**2\/5 - 171*w\/5 = 0.\nAnswer: -19, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 241\/20 - 59\/5. Let h = -719 + 720. Which is the nearest to n?  (a) h  (b) 3\/4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.07 - -4.93. Let j = q - 2.7. Let f = j - 2.2999987. Round f to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - 12\/14)\/(1\/(-273)). Suppose 162 = 2*r + 5*s, -s - 2*s = 3*r - n. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-310)\/1395*1*-1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -36043*a + 36013*a - 780 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 + 17. Let g = 413 - 749. Let j = g + 344. Solve -4*o + 0 = -4*d + r, j = -4*o + 2*d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3606 is divided by 1237.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - 8 - (11 - 6 - 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes before 9:45 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-90)\/75)\/((-48)\/40)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 7031766.\nAnswer: 1\/3515883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 + 12*m - 10. What is o(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 3*x. Let t(u) be the first derivative of u**5\/60 - 2*u**2 - 2. Let g(r) be the second derivative of t(r). Determine p(g(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7980*f**5 - 4*f**4 + 5*f**2 + f + 5497.\nAnswer: 478800*f**2 - 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 565, 948, 1321, 1678, 2013, 2320?\nAnswer: 2593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*k + 12 = 56*k + 3*v, -3*v = -5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 855 - 1?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/98  (b) -3999  (c) -0.2  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/5483  (b) -3  (c) -5  (d) 5  (e) -2  (f) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6737 is divided by 99.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*n = -26*n - 494 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140*x - 59 = 1621 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*f*g**2*u**2*x - f*g**2*u - 2*f*g*u**2 - 2*f*g*u*x - 6*f - 483*g**2*u*x - g - 18*u**2 wrt g.\nAnswer: 4*f*u**2*x - 2*f*u - 966*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-1)\/(l**(1\/5)*l*l)*((l\/(l*l**(1\/2)*l))\/l)**(-22)*(l*l**(-1)\/l*l*l*l)\/l**4*l**4\/l*l\/(l\/(l*l**1\/l*l)*l) assuming l is positive.\nAnswer: l**(269\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 3217.4344 to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95008 - 14505 - 20163 = 18389*v - 86772 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 81769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (64\/48)\/((-2)\/(-15)). Suppose 0 = -d*z + 14*z - 940. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10\/3 in -25, 1, 3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2743252?\nAnswer: 2, 31, 22123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 12\/8*(-4)\/(-3). Let i(c) = 2*c - 2. Let g be i(w). Let z(j) = -j**2 + 5*j**2 - 2*j**2 - 2. Let o(v) = -1. Determine g*o(k) - z(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 23 (base 15) to base 12\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/3*144\/1176)\/(12\/(-28)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -g - 2*g - 5*u, -u - 11 = -3*g. Suppose -a - g*a = -141. What are the prime factors of a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - 75?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 3*o = -16. Suppose 4*r - 5*k - 25 = 2*r, 0 = -4*r - 4*k + o. Suppose -52 = -p + 3*g, 0*p + 50 = p - r*g. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*h = -34*h - 448. Solve -2*b + 6*b + 4*n + h = 0, -4*n + 16 = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94*n + 76*n = 4146 - 576 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -0.77  (b) 0.3  (c) 5.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**3 + 2*a**2 + 139*a + 2379. Let k be z(0). Calculate the highest common factor of k and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -774 + 1050*q + 265 + 251 + 258 to the form a*q + i and give a.\nAnswer: 1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*w + 3*a, -w - a = -0*a. Let d = 17 - 7. Suppose d*y = 7*y + 18. Solve -r = 2*s - 9, y*s + w*r = s + 35 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 747 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000122877 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.78 + 4.22. Which is the fourth smallest value?  (a) 0  (b) 4\/9  (c) y  (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 + -45?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 280 - 298 = -6*p. Calculate the highest common divisor of 87 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 3)*(-3*n + n - 5*n + (2*n - n - 4*n)*(4 - 1 - 5))*(3*n**4 + n**4 - n**4).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.041681 * -201\nAnswer: 8.377881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 1 + 5 = 0. Suppose 2*b = f*b + 2. Does 0 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = -18*y - 0*u - 3*u - 561, -2*u = 10 - 6 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/((8\/4)\/((-4)\/2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 3*k + 101919, 2*v + 23522 = -4*k + 74498. Is v a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -289 by -428.\nAnswer: 289\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 431 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 200879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1145 and 8?\nAnswer: 9160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**4 + 8*q**3 - 4*q**2.\nAnswer: -4*q**2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together -4771514 and -0.024.\nAnswer: -4771514.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 12\/9 + 4\/6. Let b = l - 1. Let d be (3\/36)\/(b\/2). What is the nearest to -0.1 in 1\/2, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.4  (b) 6\/5  (c) -72324\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 788  (b) 0  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 100 and 175?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/(sqrt(225) - 2*sqrt(225) - sqrt(225)) + (-2*sqrt(20))\/sqrt(10)*-6 + -2.\nAnswer: -2 + 119*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*n = -2*v - 42*n - 58, 98 = -3*v + 5*n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 596*u - 34 = 613*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21 and 66405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -336, -1276, -2828, -4980, -7720, -11036, -14916?\n\"Answer: 2*d**3 - 318*d**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 22 - 2*y + 55*y**4 - y**2 + 3*y**2 - 49 + 28 wrt y?\nAnswer: 660*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7161 is divided by 193?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 3*h - 6*h. Let q(m) be the third derivative of m**6\/120 - m**4\/6 + m**3\/6 - m**2. Let o(b) = -6*b**3 + 21*b - 5. Determine h*q(f) - 2*o(f).\nAnswer: f**3 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34 - 22*h**2 + 13 + 21*h**2 - h + h to g*h**2 + u + w*h and give u.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 5 + 2)*(1 + 0 - 2) - 1 - 3 + 6)*(8*k**2 + 20*k**2 + k**2).\nAnswer: 87*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 58592*c**3 - 4123*c**2 - 4*c?\nAnswer: 351552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -3*c + 15, -4*z + 5 = -2*c - 3. What is the second derivative of 3*o - c*o**5 - 3*o**3 - 11*o**3 + 4*o wrt o?\nAnswer: -40*o**3 - 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 211082\/9 or 23455?\nAnswer: 23455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zuzzuzf. What is prob of picking 2 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1392\/(-8) + 1 + (2 - 0). Is s <= -172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.6 and 0.32.\nAnswer: 0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*c**2 + 101*c - 101*c to the form x + r*c + s*c**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*40\/(-90)*(-1)\/(-4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1075 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 34 - 2*l**3 + 3*l - 21 + 3*l**3 + 11. Let k be u(0). What is the highest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 77503 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.13 - -388.87. Let k = 234 - y. Let t = 158.0091 + k. What is t rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v - 7. Let o be c(-6). Suppose -4*y + 44 = -x, 0*y + 54 = o*y - x. Solve -7 = -3*p - g - 0, -2*p = 2*g - y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 26  (b) 5.1  (c) 0.1  (d) 1  (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 50 + -10. Let q = c + -40.58. Let r = 0.639 + q. Round r to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 826*p + 1327*p - 264*p = 20779 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0450694 to four dps.\nAnswer: 0.0451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 2\/11, 0.1, -1196?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 3819206 and -0.09 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 - 10. Suppose n*g + 6 = 3*g. Suppose 26*q = -1380 + 1276. Is q equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -27*f + 2. Calculate the remainder when 201 is divided by o(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-1\/15)\/o)\/(o**(-4)\/o*o)*(o*o*o**8*o)\/((((o*o\/o**(-3\/11)*o*o)\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(2254\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**3 + 13*c**2 - 2*c + 33. What is the remainder when v(-13) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/7, 5, -1, 0.63164, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 878527.3t?\nAnswer: 878527300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6253440 + -5?\nAnswer: -6253445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(1872) - (sqrt(1872) - (sqrt(1872) + 6*(sqrt(1872) + sqrt(1872) + -3)))) + (-2*2*sqrt(1872) - (sqrt(1872) - 1*sqrt(1872)*-1)))**2.\nAnswer: -2352*sqrt(13) + 91924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 3808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -6307.8?\nAnswer: -6307.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -5062, -5093, -5124, -5155?\n\"Answer: -31*t - 5031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 8, q: 3}. What is prob of sequence lqql?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*w**4 - 13*w**4 - 6*w**4 + (-3*w**4 + 0*w + 0*w)*(9 - 2 - 9).\nAnswer: -23*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -517267*d + 1210 = -517205*d - 898 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*z + 4*j + 7 - 31, 716*z + 3*j = 713*z + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w - 10. Let p be o(-6). Let q(y) = -p*y + 3*y + y. Let g(r) = 13*r**2. Determine g(q(f)).\nAnswer: 52*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*t**2 + 42*t**2 + 21*t**2 - 102*t**2 + 5*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (1 - -1 - (-13 - -14))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 5*b**2 + 4*b - 64. Give p(6).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 9*x**3 + 11*x**2 - 20*x. Let a(l) = -6*l**3 - 7*l**2 + 13*l. Let d(g) = -7*a(g) - 5*f(g). Factor d(b).\nAnswer: -3*b*(b - 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 35556 or 35578?\nAnswer: 35578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of 1299*a**5\/20 + a**3\/3 - 150*a**2 - 3*a + 23. Find the second derivative of x(k) wrt k.\nAnswer: 7794*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of 14*z**5\/15 + 14*z**2. Suppose 2*j + 2*g = -2*g + 24, 0 = g - 5. Let x(k) = 85 - 85 - j*k. Determine p(x(y)).\nAnswer: 224*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -570738, -570757, -570776, -570795, -570814, -570833?\nAnswer: -570852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 15*s**3 + 548*s + 42913 wrt s?\nAnswer: 45*s**2 + 548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 24*x**2 + x. Let b(s) = 22*s + 1. Calculate b(r(v)).\nAnswer: 528*v**2 + 22*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 719892 and 9838524?\nAnswer: 29515572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 147 + -111. What is the least common multiple of 16 and t?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 6*t**2 - 34*t - 17. Let d(p) = p**2 + 3*p - 3. Let k be d(-5). Suppose 7*w + 42 = -k. Is j(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 250835 is divided by 22770.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 3) + -2 + 4 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 take away 717765532740?\nAnswer: -717765532744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -24198 (base 11) in base 3?\nAnswer: -1202210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 PM and 9:02 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor l - 1\/4*l**2 - 3\/4.\nAnswer: -(l - 3)*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*o + 35*o + 13044 - 15033 = 0 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of -p**8\/840 - p**5\/20 + 7*p**4\/6 + 12*p. Let u(q) be the third derivative of z(q). Differentiate u(x) with respect to x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 41, 3, -10, 7, 4 in descending order.\nAnswer: 41, 7, 4, 3, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4050 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of 0*k - 6*k**2 + 4\/3*k**3 + 19. Factor g(d).\nAnswer: 4*d*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, -23, -82, -173, -302, -475, -698?\nAnswer: -977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z + 5*w - 5 + 2, -3*w = 4*z - 7. Let n(m) = m**3 - 5*m**2 + 6. Let i be n(5). Let a(l) = l - 3. Let c be a(i). Solve j = z + c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000221897 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -2*s**3 + 37*s**2 + 6*s + 249. Let n be q(19). Let r be 1 - (24\/2)\/2. Sort 1, n, -2, r.\nAnswer: r, -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1.4, -1\/3, -13, -3?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5\/3, -4, -159, -816, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 175\/8 - 19\/8. Find the common denominator of 63\/4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*o + 22*o**2 + 3*o + 989*o**3 - 488*o**3 + 0*o - 492*o**3 as w*o**2 + t + s*o**3 + a*o and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 0 = -2*s + 30, -2*s - 2 = 3*x. Let h(y) = -3*y - s*y**2 + 4 + 0*y**3 - y**3 - 2. Suppose 3*p + 9 = 0, p + 0 = -2*i - 9. What is h(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (46 - 62)*(1\/(-14))\/(-1). Which is the third smallest value?  (a) u  (b) -0.2  (c) 3  (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1424 (base 6) in base 14?\nAnswer: 1cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 74070, 74078, 74086?\nAnswer: 74094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 5*l + 50, h + 20 = -4*l + l. Suppose 24 = 3*j - 5*d, 9 = 5*j - j + d. Let w be ((-4)\/(-2))\/1 + j. Sort 1, l, w in descending order.\nAnswer: w, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-24)\/(-20) - 0)*5. Let k be (-62)\/(-3) - i\/9. Suppose -k = 3*m - 8. Let d(v) = -3*v - 5. Determine d(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x - 7. Let j be i(-6). Let w = -6 - j. Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -118, 65, 769 in decreasing order.\nAnswer: 769, 65, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 17e9e67 (base 15) to base 14\nAnswer: 2462b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*f - 61977386 = -61979666 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 6. Suppose 6 = 3*h + 2*g, -2*h - q*g = -3*h + 2. Differentiate 3*a**3 - 5*a**2 + 5*a**h - 1 with respect to a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 + 2116?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 213 (base 14) to base 9\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0087961 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the third derivative of p**5\/60 - 5*p**3\/6 - 38*p**2. Determine i(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/17, -16, 0.2, -2, -4, -5\/9 in decreasing order.\nAnswer: 0.2, -2\/17, -5\/9, -2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 104660 (base 7) in base 2?\nAnswer: 100100001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 102\/42 - (-2 - (-68)\/28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 251823328 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 107692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0292 * -0.1.\nAnswer: -0.00292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-18)\/(-8)*32\/12. Let f be z\/(-4)*20\/(-3). Suppose f = -2*g + n - 1, -g = -2*n + 4. Is g bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.7 * 2967.\nAnswer: 2076.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5 + 0)*(q**3 - q**3 + 3*q**3).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 2 + 0 = 0. Let h = 4 + n. What is the remainder when h is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -2*h**5 + 6*h**4 + 2*h**3 - 6*h**2 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -37805 - -2\nAnswer: -37803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 17166621 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*k**4 - 33*k**4 + 5*k**4 + (7 - 4*k - 7)*(k + 2*k - k)*(-4*k + 2*k**2 + 4*k).\nAnswer: -57*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -54554.34 and -31.\nAnswer: 1691184.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -119.1 + 114. Let v = -0.045 - -3.445. Let c = v + y. Is c != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of z + 49. Let u(v) = 3. Let j(c) = -2*m(c) + u(c). Let i(s) = s + 1. Calculate -i(t) - j(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 6 = 0, 3*g + 31 = -4*o + 10. Let i = 3 + -2.7. What is the nearest to 1 in o, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(2\/9))**29*((r\/(r\/r**(-3\/11)))\/r)\/r*r\/(r*r\/(r*r**4)))**7)**(-7\/2) assuming r is positive.\nAnswer: r**(-39641\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 109928\/9 + -12214. Let h = -1 + 1.5. Which is the fourth smallest value?  (a) -5  (b) h  (c) s  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -3*p - 24. Let z(u) = 20167*u - 16080. Calculate -670*d(l) + z(l).\nAnswer: 22177*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/28*931\/(-1729)*13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -3*z**2 + 4*z - 2. Let g be b(2). Let h = -5 - g. What is the highest common divisor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 155620948 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*(4 + -4) + 3. Solve c*j - 4*j = 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17242 and 1533563827?\nAnswer: 8621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 176195?\nAnswer: 5, 131, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 2 + 2)*(-12036062 + 12964*r + 12036062) to q*r + v and give q.\nAnswer: 38892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36720323, -73440647, -110160971?\nAnswer: -146881295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -80, 5, 88, 169, 248, 325, 400?\n\"Answer: -w**2 + 88*w - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6345047842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*g + 3814 = 2*g - 182. Sort 0, g, 5 in decreasing order.\nAnswer: 5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -2*h. Let a(l) = l**2 - 31*l + 58. Let s be a(29). Let f(i) = s + 56*i - 1 - 54*i. What is f(u(m))?\nAnswer: -4*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -2*u**2 + 2*u + 1. Let n = -325 + 321. Let m(f) = -7*f**2 + 11*f - 4. Let l(y) = n*x(y) + m(y). Let w(j) = 2*j + 6. Let c be w(-6). Determine l(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from btbbbbbbtbbbb. What is prob of picking 2 t and 1 b?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3152 divided by -1576.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 580 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320)*2)\/(sqrt(50)\/sqrt(45)).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -85769*m**2 - 33850*m + 4 wrt m?\nAnswer: -171538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 - 19*x**2 - 9*x + 5. List the prime factors of b(21).\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 - 1. Let s(x) = 16 - 11*x**3 - 5 - 7*x + 0*x. Let y(q) = 3*b(q) + s(q). Let m(l) = 9*l**3 + 8*l - 9. Calculate -6*m(g) - 7*y(g).\nAnswer: 2*g**3 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 5416*s + 21679. Give r(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y - 4. Let z be l(0). Let r be (-3 + 2)*-1*15. Let m = z + r. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12663 by -1809.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 6702.6063 to the nearest ten.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -164830687*o + 82415323*o + 82415357*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4506371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 918340.5nm to meters.\nAnswer: 0.0009183405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 2*n - 75. Let h(w) = -5*w + 83. Let l be h(9). What is the smallest common multiple of a(l) and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2868)\/(-99) + (-6)\/693*1862\/(-532)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -12177398.53*1\nAnswer: -12177398.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 133715544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/6776 and (-8 - 1638\/(-216))*106\/(-10).\nAnswer: 20328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18*z**5 + 12*z**3 - 15*z**2 + 171800*z.\nAnswer: -360*z**3 + 72*z - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 2*s. Let w(n) be the third derivative of -n**5\/120 - 2*n**3\/3 - 2*n**2. Let b(c) be the first derivative of w(c). What is b(l(r))?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -31081 + 109215.9?\nAnswer: 78134.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-12) - 0)\/((-2)\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**2*b*b)**10*b**(-8)\/((((b\/(b\/(b*b\/((b\/(b**7*b))\/b*b*b))))\/b)\/b)\/b))**(2\/39))**32 assuming b is positive.\nAnswer: b**(2368\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2. Let t(p) = -1. Let y(b) = -6*s(b) + 11*t(b). Let k(i) = -2*i + 4. Let q be -1*2*9\/(-6). Determine q*y(d) - k(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*x + 4*x - 4*q - 16, x - 3*q - 10 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 3 x when four letters picked without replacement from rvjxvkxjmjx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -3*v + 5, 0 = -5*y - 2*v + 8292. Suppose 0 = 2*a + 4*b - y - 9258, 12 = 4*b. Suppose -6*s + a = -4370. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 160 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 6*d**2 - d + 1. Let q be h(1). Let t(k) = k - 7. Let y be t(10). Suppose 0*j = -y*j + 45. What is the highest common divisor of j and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 - 23*f**2 + 26*f + 57. Let d be v(-24). Find p, given that 126*p + 3*p - 15*p**3 - 24 + 60 - d*p + 69*p**2 = 0.\nAnswer: -1, -2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8 - 1 - 9620\/(-296)*(-2)\/10. Suppose 4*p + 24 - 1 = 3*u, 5*p = -3*u - 22. Let v be (-8)\/p*(-3)\/12. What is the nearest to v in 1, x, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -90*o**2 + 45*o**2 + 47*o**2. Let g(r) = 17*r**2. Calculate g(j(n)).\nAnswer: 68*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2314 - 2297. Solve 11*l - 7*l = 3*d + 11, 0 = -3*l + 4*d + b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -32400 to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 3 - 1. Suppose 5*p + o = 2*w + 4, -2*p - 5*w = -24. Let d(r) = 7*r + 0*r - p*r - r. Let u(c) = -c. Give u(d(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z*z**(-2\/11)*z)\/z**(-3))\/(z**0\/(z\/(z*z**(-2)))))**(-36) assuming z is positive.\nAnswer: z**(-3096\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -19*f - 47. Suppose -5*r - 55 = -3*s, -37 = 3*r - s - 8. What is the hundreds digit of n(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/3*1\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28545.32mg to tonnes.\nAnswer: 0.00002854532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 215893?\nAnswer: 215893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + 3 - 5. Suppose 20 = -z*i + 3*i. What is the lowest common multiple of 3 and (-92)\/(-9) - i\/90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3 + 0 - (-36 - -524). Let f = -483 - b. Suppose -4*r = -a - 12 - 40, -2*a = -8. What is the remainder when r is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (9\/2)\/((-2)\/14). Let h = n + 235\/8. Calculate the common denominator of 1\/3 - (-23)\/2 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 299139 divided by 99713?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 817441 + -383380044\/469. Let u be (24\/36)\/(134\/6). Let j = u + g. Sort j, 4, -4.\nAnswer: -4, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/14 + 17360\/(-1519)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the second derivative of 0*r**5 + 1\/2*r**2 + 1\/3*r**3 + 2\/15*r**6 + 8\/21*r**7 + 0*r**4 + 0 - 73*r. What is the second derivative of a(x) wrt x?\nAnswer: 320*x**3 + 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.359 - 0.641. What is the closest to -0.1 in f, 4, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 641478023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/5)\/(6\/((-120)\/(-4)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**5 + 0*i**2 + 0 + 18\/7*i**4 + 0*i - 4\/7*i**3.\nAnswer: -2*i**3*(i - 1)*(7*i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -11, 0.09, 1\/5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -229816*m + 229743*m + 511 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 38 - 19. Suppose -a = -i - q, a + i = -4*a + 71. Calculate the lowest common multiple of 22 and a + 0 + 4 + -5.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 11471, 26684, 41897, 57110, 72323, 87536?\n\"Answer: 15213*d - 3742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3810542 is divided by 330.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4686?\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.16 * -1.218\nAnswer: 0.19488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (1*sqrt(117) + -2 - sqrt(117) - 1*sqrt(117)*2)**2.\nAnswer: 24*sqrt(13) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.1 + -0.1. Let o = 2 - q. Let y = -115468 + 115463. Put -1\/2, o, 10, y in decreasing order.\nAnswer: 10, o, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -4. Suppose l = g - 2 - 5. Suppose -5*o = -2*z - g, -21 = -5*z + o + 19. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 - 0.441163?\nAnswer: -0.941163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3220681791 to the power of 1\/3, to the nearest integer?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 108\/(-84)*(-4)\/(-12)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14389?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1024\/6)\/(-2))\/((-9820)\/(-10311) + 2\/(-7))?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -583506 rounded to the nearest ten thousand?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12769898*m**4 + 16274687*m**2?\nAnswer: -306477552*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hchthtththhthtlh. What is prob of sequence cl?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -136147825 divided by -7165675\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(4\/9)\/s*s\/(s\/(s*s*s**(2\/37)))*s*(s*s*((s\/(s*s**(-1\/3)*s))\/s)\/s*s*s*s)**18)**(-5\/9) assuming s is positive.\nAnswer: s**(-74090\/2997)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/4 of a meter in centimeters?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-9)\/(-4) - 6\/24. Suppose -i*a - 3 = n + 5, -n + 2*a = -8. List the prime factors of 1 + n\/(-3) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2798174 to the power of 1\/2, to the nearest integer?\nAnswer: 1673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p + 4*p - 5*p)*(3*p + 18 + 298152*p**2 - 298147*p**2 - 10 + 3).\nAnswer: 10*p**3 + 6*p**2 + 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 31601*o**3 - 13458 wrt o?\nAnswer: 94803*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4922 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 15*j**2 - 127*j + 418. Let u be b(6). What is the highest common divisor of 1715 and u?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39 - 35. Let h(u) = 3*u**3 - 218*u**2 + 2*u + 221*u**2 + 0*u**3 + 1 - 4*u**3. Calculate h(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 + 65*h**2 - 133*h + 68. What is s(-67)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13 - 3. Let o = u + 16.1. Sort -2, 0.3, o.\nAnswer: -2, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61 = 5*n - 3*t, -4*n + 5*t = -2*n + 13. Is (-6)\/n + (-6568)\/(-28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b - 193 + 193. Suppose b + 0*l + 1\/5*l**4 - 1\/5*l**2 + 1\/5*l**5 - 1\/5*l**3 = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5643 (base 9) to base 2.\nAnswer: -1000001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**2 - 2*n**2 + 3*n**2 + (0*n + 5*n - 3*n)*(0 + 0 + 2*n) + 2*n**2 + 0*n**2 + 0*n**2 + (2*n**2 + 3 - 3)*(-5 - 9 + 5).\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = 157*k - 1520 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -q*w**3 + q*w**2 - 2*q*w + 458*q + 26*w**2 wrt w?\nAnswer: -6*q*w + 2*q + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -9*r**2 + 5*r. Let a(l) = -8*l**2 + 4*l. Suppose 2 + 2 = 5*y + 4*g, 4 = -2*y - 3*g. Give y*i(s) - 5*a(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.156 times -74.36?\nAnswer: -11.60016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -a**2 - 41 + 13560*a - 13560*a + a**4 + 2*a**3 in the form f + l*a**3 + y*a + j*a**4 + o*a**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -4*d**2 - 33*d - 20. What is the lowest common multiple of 552 and r(-7)?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-25)\/(-6) - (-3)\/(-18))*(3 + -7)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = q + 8. Let g(z) = 7*z - 4. Let y(v) = -v**2 - 6*v + 3. Let l(c) = q*y(c) - 3*g(c). Find the second derivative of l(s) wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m + 5*m - 4*m)*(7 - 7 - m) - 3*m**2 - 3*m + 3*m - 5654*m + 5654*m - 12*m**2.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -5331 (base 6) to base 14\nAnswer: -623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.9 + 0.96. Let t = -7 + 8.54. Let d = t + x. What is d rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 + -1. Let s be 5\/2*q\/(-5). Suppose 0 = -2*p + s*a + 866 + 967, -a + 2766 = 3*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12343*n - 12239*n + 1664 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 5*c**2 - c - 2. Let a(m) = -14*m**2 + 3*m + 5. Let z(s) = s**2 + 6*s + 9. Let u be z(-5). Give u*a(d) + 11*r(d).\nAnswer: -d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -8*t - 4. Let o(b) = -9*b - 3. Give -6*c(g) + 8*o(g).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -9  (b) -3  (c) 47\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 a factor of (63\/15)\/(8\/1840)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*f**2 - 7281170*f = 0. Calculate f.\nAnswer: -1456234, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v*v**(-1))\/v)\/v)\/(v\/(v*(v**(-8)\/v)\/v*v)))\/((v\/(v*v\/(v\/((v\/(v*v*v\/((v**(-12)\/v)\/v))*v)\/v))))\/v**9) assuming v is positive.\nAnswer: v**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (17*q + 19*q - 19*q)*(-4 - 76 + 159)*(-4*q + 2*q + q) as w*q**2 + s*q + t and give w.\nAnswer: -1343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 233*t + 237*t + 240*t - 2782*t**2 - 710*t - 2394*t**2.\nAnswer: -5176*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-17 - -16)\/((-2)\/(-4)) - 13. Let s be 1*(1\/4 - t\/(-12)). Is s bigger than -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-27 - -2) + (-384)\/(-48))*-208.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -4*i + 1133, 2*w - 2*i - i - 727 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 15 = -2*l - 20, 3*b + 3*l = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.617 + 0.217. What is the second biggest value in 0.06, -0.03, w?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.099976 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is db49 - 8f3?\nAnswer: d256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (14\/4 + -1)*90\/225. Sort 31, g, -3, 4 in decreasing order.\nAnswer: 31, 4, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -66?  (a) 110  (b) -1  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 + -2)*0\/1. Let u be (w + (-2)\/(-4))*0. Solve u = 3*n - 15 - 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4876726 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 32*j**4\/21 + 368*j**3\/21 - 190*j**2\/21 + 8*j\/7.\nAnswer: 2*j*(j + 12)*(4*j - 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106033004 is divided by 26508249?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j + 5*l - 578, 4*j - 558 = 6*l - l. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/345949 and -14\/757?\nAnswer: 345949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -97229 - -97234. Let r = -7 + 4. Sort -0.4, 1, r, a in decreasing order.\nAnswer: a, 1, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 + 204.\nAnswer: 204.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*h + 4. Suppose h*w - 5*w = 0. Find the common denominator of w + 595\/120 - (1 + -1) and 17\/39.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -50\/121 and -17\/7887.\nAnswer: 86757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes before 4:34 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.04439611 + 0.0444. Round y to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 2*c**3 + 4*c**2 - 16*c + 2. Let z(o) = -10*o + 1 + o**3 - 2*o - 2*o + 13*o. Let f(x) = -g(x) + 4*z(x). What are the prime factors of f(4)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3164224554 to the power of 1\/3, to the nearest integer?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 4) + (9 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 13221020 (base 4) to base 6\nAnswer: 400532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*z + 10 = -18*z. Suppose -z*a + 3*b = -a - 20, -2*a - 15 = 5*b. Suppose -140 + 0 = -a*u. What is the remainder when u is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in c**4\/3 + 165419*c**3\/3 + 6841440290*c**2\/3 + 47877014692*c\/3 - 68402824360 = 0?\nAnswer: -82706, -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2376 - 2397. What is the third biggest value in t, -0.4, 2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17 + -1 + 5 + 0 - (4 + -10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -44*o**2 - 234*o**3 - 125*o + 5*o**2 - 42 + 235*o**3. Let p be z(42). Let n = 9 + -4. Solve -5*v - 20 = 0, p*d + 4*d - 8 = n*v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = k - 3*v + 9, 3*k - 7*k = 4*k - 29*v + 20 + 77 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/15)\/(0 + 11\/(660\/(-8)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 124\/(-3348)*423 - (-2 - -1)*15.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-2))\/((-4)\/4*1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-45 + 146 - 56)*(4*c - 4*c - 2*c).\nAnswer: -90*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*t - 9*t - 8*t + 20*t + 13*t**2 - 12*t + 23*t.\nAnswer: 13*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 966, 2739, 5692, 9825, 15138?\nAnswer: 21631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 150 - 6 = -0*f - 16*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -15*k**2 - 11*k - 11. Let f be 2*(2\/4 + 2). Let c(r) = 11*r**2 + f*r**2 - 6*r - 24*r**2 - 6. Give 11*c(z) - 6*o(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 250541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 943270 divided by -5.\nAnswer: -188654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - k = 9, 0 = r - 4*k + 25 - 17 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/8880 and 119\/9234.\nAnswer: 13666320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/9623 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 19 = 21. Let t(b) = -3*b - 13. Let g be t(n). Suppose 11*f = g*f + 78. Which is greater: f or -14?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.1 - -3. Suppose -13*s = -31*s + 36. Sort 0.3, s, t in descending order.\nAnswer: s, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-30) - (-20132)\/(-210). Let c = 115 + g. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13040003 (base 7) to base 11\nAnswer: 740150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 30010 to the nearest 100.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2794 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*w**3 + 0*w**2 + 4*w**4 + 56 + 2*w**2 - 54 to p*w + f*w**2 + b*w**3 + r*w**4 + m and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 19337 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(2\/7))**(-3\/31))**(2\/7))**18 assuming s is positive.\nAnswer: s**(-216\/1519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 710 + -474. Let f = 1905\/8 - p. Solve -5\/8*l**3 - f*l**2 + 0 - 3\/4*l = 0 for l.\nAnswer: -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 - -13.94. Let r = p + -0.03. Round r to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 - 3*j**2 - j + 2. What is the units digit of p(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*n + 240*r - 252*r - 3 = 0, -2*r = 3*n + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -11 + 11 + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w**12*w**0*w\/(w*w**11)*w*w*w**(-17)*w*w*w*w assuming w is positive.\nAnswer: w**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*r - 7*r**4 + 3*r**3 + 13*r + 6*r**3 - 1 - 2*r**3 as b*r + a*r**3 + w*r**4 + v + d*r**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 166739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**2 - 2*z + 2. Suppose -2 = m + 2, -4*m = 3*c + 1. Suppose c*y - 40 = -5*b, 3*y - 2*b - 4 = -0. Let v be (1 + 7)*y\/(-8). Calculate a(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (37*k**3 - 555 + 78*k**3 + 1109 - 556)*(-4*k + 6*k - 10*k) in the form m*k**2 + f*k**4 + a*k + u + c*k**3 and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-12))\/((-24)\/(-72))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 5, -1, -11?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*p - 24*p = 0. Let c(l) = l + 6. Let a be c(-3). Sort a, p, -1.\nAnswer: -1, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 10 + 11. Let i = -7 + h. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12232 (base 6) in base 11?\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -336 = -8*t + 5*t. Does 28 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 110 + 126 = 4*k, 39 = -3*g - 9*k for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 20776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1190\/34 + -85 - (-16 - 5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6222572 is divided by 23841?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 4*k + 36, 0*k - 3*k = -2*z + 32. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 3*d = -0*d, 5*d = -3*a + 40. What is the smallest value in a, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 73 = 73 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of 1\/2*k**2 - 13*k + 3. Let h be u(11). Sort -4, 5, h.\nAnswer: -4, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of 4*c + 32 - 1\/2*c**2. Determine y(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - 122.5. Let d = f - -123. Let s = -12 + 9. Put s, 3, d, 2 in increasing order.\nAnswer: s, d, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -15*r**4 - 305*r**3 - 1530*r**2 - 1180*r + 1560 = 0. Calculate r.\nAnswer: -13, -6, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*k + 8*k - 9*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -5*q + 3*q - 1 + 192*q**2 + 2*q + 9*q - 12. What is the tens digit of j(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9287 at most as big as 9288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23651 + -23651. Let m = 121.1 - 127. Let p = m + 0.9. What is the second biggest value in z, -2\/21, p?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 5*f - 25, 0 = -3*a + 6*f - 3*f - 3. Suppose 80 = a*w - 2*d, 5*d - d - 40 = -w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6157637 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 762599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(21\/(-6) - -2). What is the remainder when 1495\/26 - (-1)\/w is divided by ((-3)\/(-2))\/(9\/120)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i + i = 2*z - 539071, -323424 = -3*i + 5*z. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 745309*x = 745333*x + 2760 for x.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1375.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 4 + 4)*(2 - 2 + 3)*(2*s - 3*s - s).\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, a: 14, k: 5}. What is prob of sequence kkm?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q = 270 - 270. Factor 1\/8*c + q - 1\/8*c**2.\nAnswer: -c*(c - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**3 - 8*x**2 - 7*x - 11. Calculate j(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -9*f**3 - 207*f**2 + 4*f + 78. Calculate l(-23).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 9, k: 10, q: 1}. Give prob of sequence mq.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22 - -11020000021?\nAnswer: 11012222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12459\/16 + 779. Is -1 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: a774 (base 11) to base 12\nAnswer: 82a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(1080\/32))\/(4\/(-6)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -1\/12723 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 12\/14*-1*168\/(-18)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a + 8. Let k be m(-7). Suppose -3*n - k = -5*z, 5*z + 0*n - 2*n = 10. Let i = 6 + z. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -208*y - 296*y + 146*y - 17532 - 11108 = 0 for y.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a + 0*a + 3*a)*(0*a - 4*a + 6*a)*(a**2 - 5 + 5 + 4*a**2 + a**2 - 3*a**2 + (-1 - a + 1)*(0*a + a - 3*a) + 2*a**2 + a**2 - 2*a**2).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -605*l**2 + 9*l + 63. Let u(s) = -303*s**2 + 4*s + 28. Let v(o) = -4*a(o) + 9*u(o). Let p(j) = -j**2. Calculate p(v(m)).\nAnswer: -94249*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(sqrt(22) - (sqrt(22) + (sqrt(22) - (sqrt(22)*-1 - sqrt(22))))))\/(-1*sqrt(8)\/sqrt(4)) - -4*(sqrt(2156)*-4)\/sqrt(4))**2.\nAnswer: 145475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 equal to 976\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-43)*a*a**24 assuming a is positive.\nAnswer: a**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes before 9:34 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c**5 - 3*c**5 + 7*c**5 + (0*c**2 + 0*c**2 - 3*c**3)*(2*c**2 - 3*c**2 + 0*c**2) + 21*c**2 - 21*c**2 - 13*c**5.\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**2 + 3*v + 2. Let q be b(2). Suppose 80*p - 147 = -67*p. Sort -0.06, 1\/10, p, q in ascending order.\nAnswer: -0.06, 1\/10, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*p - 2*p + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.617043g to tonnes.\nAnswer: 0.000008617043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, m: 9}. Give prob of picking 3 i.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -5*a - s - 9, 4*a + 12 = -4*s. Let d = -10 + 9. Put 1, a, d in ascending order.\nAnswer: a, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from ddqqqlddddqlqdddqdd?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1178 a factor of 41484448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 5, u: 3, q: 4}. Give prob of picking 2 u, 1 q, and 1 j.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 150 = 25*x, -24 = -183*x + 359*x - 180*x + 5*f for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -268 - -370. Is 11166\/(-4)*(-68)\/p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -273*f**3 - 7*f**3 - 11*f**3 + (-2*f + 2*f - 2*f**2)*(-f + 0*f + 0*f).\nAnswer: -289*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 17*n**2 + 121*n + 137. What is g(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 8, -2, -4, 4.\nAnswer: -4, -2, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -6*o - 3. Let q(y) = y + 1. What is -3*q(c) - t(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 3*w - 10. Let y be b(7). Let h = y + -7. Suppose h*u - 2*u = -m + 277, -3*m + 126 = u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-9)\/(9\/2) - -4. Solve -a = 3*t + f*t, -3*a + 3*t = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 - (8 - 6)\/((-4)\/5130). Let i = y + -1163. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**2 - 9*v - 3. Let g = 19 - 15. Suppose -4*s = 3*d + 28 + g, -d = -4*s. Give w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-61200002)\/(-9) - 8\/36. Suppose -14*z + 12*z = -m. What is z rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5916815 and 200570.\nAnswer: 11833630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/87900 and -17\/41475.\nAnswer: 48608700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 70249 - 70248. Let t = 4 - 3. Which is the nearest to t?  (a) 2  (b) 1\/3  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-29457)\/(-84))\/(61\/(-2)). Let b = k + -1\/427. Calculate the common denominator of (1\/8)\/(5\/26) and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4332)\/(-5054) + 664\/(-742)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4347\/457 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.2 or 8508.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6178913.82475 + 21.17525. Let z = -6178935.10599886 + b. Let h = z + 0.106. Round h to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 4\/9  (b) -2  (c) 18287.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 + 1. Let p be (-14)\/5*(l + 6). What is the units digit of (-74)\/p + 4\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4197 and 5.\nAnswer: -20985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 17*j**2 + 60*j - 245. Let h(y) = -5*y**2 - 17*y + 82. What is -7*h(l) - 2*x(l)?\nAnswer: l**2 - l - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 234 - -322?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 - l**2 + l. Let p(y) = -2*y**3 - 217*y + y**2 + 3*y**3 + 216*y + 0*y**2. Give -4*p(u) - 2*q(u).\nAnswer: -2*u**3 - 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 2*y**3 - 43*y**2 + 21*y + 11. Determine u(21).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 221 - 206. What is the highest common factor of 495 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**2 - 8*v - 2. Let m be h(-8). Let o = -2 - m. Suppose o = -4*r + 24 + 32. 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: Solve -99 = -303*z + 312*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*y + 35 = -10*y. Solve y*v + h + 4 = 0, h + 2 = -3*v - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 - 15*z**2 + 13*z + 7. Let t be c(14). Does 20 divide (-328)\/t + 23\/161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16414 is divided by 582.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 - 7*d**2 - 32*d + 20. Let f be i(10). What is the closest to 3 in f, -0.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 618 is divided by 207.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (47 - 38) + (19 - (17 + -49))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*n**5 + 15134*n**4 + 5530140*n**3 + 688796136*n**2 + 28761406128*n = 0. Calculate n.\nAnswer: -7189, -126, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/4*(-21472)\/5368)\/(2\/36)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 102 * -2.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -65, 44, 231, 496, 839?\nAnswer: 1260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 217 and 207 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 + m**2 - 1. Let t(h) = 56*h**3 + 49*h**2 - 49. Calculate 98*q(s) - 2*t(s).\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2683 is divided by 206.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 528017701 - 528017703.79999987. Let k = -2.8 - m. Round k to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -489 + 0?\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -5067045 (base 11) in base 5?\nAnswer: -4243030032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - ((32 + -7 + -24 - (1 + 5)) + 25).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 35328043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -8340000 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -758469 or -759279?\nAnswer: -758469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 + 5. Let b be ((-2)\/4)\/((-5)\/30). Let g be (-4)\/8*b\/(3\/4). Sort t, -6, g.\nAnswer: -6, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 11*w**2 - 2*w**2 + w**2. Suppose -6 + 0 = 2*j. Let q be (j\/(-2) - (-2)\/(-4))*-2. Let f(i) = -3*i**2. Determine q*v(c) - 7*f(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2679*o**3 + 2359*o**3 + 2*o**2 + 2*o**2.\nAnswer: -320*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a**3*k**2 - 2*a**3*k*z**2 - 7*a**3 - 202*a**2*z + a*k**2*z**2 + a*k*z**2 - a*k*z - 3*k**2*z**2 wrt k.\nAnswer: 4*a**3 + 2*a*z**2 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1680922 is divided by 983?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 2 + 13. Let y = p + 6. Is y + (4 - 3) + 17 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 3621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-111)\/21 - 2\/(-7). Let x = -3 - a. Suppose x*t + t - 24 = 0. Calculate the greatest common factor of t and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f - 408 = 2*f. Calculate the remainder when f is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 4 + 10 = 0. What is the common denominator of 0 - l*73\/(-20) and (1 - 29\/5) + 1\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 92 - 87. Suppose 3*x = k*a + 23128, -10*a = -12*a + 2. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -248.24 - -245. Let n = -1.56 + c. Round n to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 597 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1177 + 123586\/105. Let t(r) be the third derivative of 9*r**2 + 1\/5*r**5 - 1\/3*r**4 + n*r**7 + 0*r + 0 + 1\/3*r**3 - 1\/15*r**6. Factor t(q).\nAnswer: 2*(q - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -874*b + 12321 + 56*b - 274*b - 12321.\nAnswer: -1092*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 84.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-4) - 9\/((-72)\/100)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -0.5229236.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of u**7\/105 - u**3\/2 + u**2\/2 - 1. Let i(b) be the second derivative of n(b). What is the first derivative of i(m) wrt m?\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/3 and -5\/876.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the third derivative of -23*u**8\/112 + u**7\/210 - u**5\/20 + 23*u**4\/12 - 27*u**2. Find the third derivative of b(j) wrt j.\nAnswer: -4140*j**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -3*b + 2, -4*i - 5*b + 1 = 0. Let c = -208 + 102. Let t be 26\/4 - (-53)\/c. Do i and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**5\/3 + 436*u**4 - 2630*u**3\/3 - 3928*u**2\/3 + 1752*u + 5248\/3 = 0. Calculate u.\nAnswer: -656, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 61 and -1909.871.\nAnswer: -116502.131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -5  (c) 4\/241\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 - 4*d**2 + d - 2. Let l be i(-5). Solve -5*n + l*y - 24 = 16*y, 0 = -3*n + y - 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 91644 and 13092?\nAnswer: 91644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.6 - -3.1. Let j = -3.5 - z. What is the closest to 2\/5 in j, -0.5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 450 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {u: 4, y: 1, j: 9, l: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -3*i**3 + 3*i**2. Give d(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -97 - -97.4. Which is smaller: h or -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10010111010001 - 111?\nAnswer: 10010111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4\/(-6))\/((-20)\/90). Let i(h) be the first derivative of h**2\/2 - h - 1. What is the units digit of i(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 172841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 291317.\nAnswer: 1\/291317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -25  (b) 10  (c) 3\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 2391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 7  (c) -2\/11  (d) 4\/3  (e) 0.1884  (f) 10\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**2 + 15*w + 21. Is p(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -5 and 1376423.1922937.\nAnswer: 1376418.1922937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 609 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25400445 (base 7) to base 16.\nAnswer: 232344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 1796910 to the nearest 10000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -103, 0.2.\nAnswer: -103, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1911, -1906, -1899, -1890, -1879, -1866?\n\"Answer: f**2 + 2*f - 1914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -3*z - 48. Let n be t(-16). Find the second derivative of 2*u**2 - u**2 - 8*u - 9*u + n*u wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from mmdjddzhjgj.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1548954 divided by -258159?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -3*u - 4*n, -5 = 14015*u - 14013*u - 5*n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 3*w - 3*w + 257 - w + 0*w - w. Let v be o(0). Which is greater: -2\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1464436.\nAnswer: 2, 269, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 836 + 51*n**2 - 836 - 51*n**2 - 3*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 46*q + 2. Let j(g) = -9*g. Let w(r) = 2*d(r) + 11*j(r). Let n(f) = -8*f + 5. Give -4*n(t) + 5*w(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 522552 (base 7) to base 3.\nAnswer: 11120012010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(324) - (sqrt(324) - (sqrt(324) + (sqrt(324) - 6*(sqrt(324) + sqrt(324)*1 + sqrt(324))))))\/(sqrt(144)\/sqrt(3) - 1*sqrt(6)\/sqrt(2)).\nAnswer: -32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 0  (b) 905  (c) 25  (d) -1\/2  (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aooo when four letters picked without replacement from oaorraoa?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20314*n + 2*n**3 - 20314*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 - (29 - -2 - (-6 - (-11 + 9)) - 7)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 AM and 5:48 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -2*r**2. Let m(f) = 52*f - 64 - 60 + 73*f + 124. Calculate v(m(b)).\nAnswer: -31250*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 889283 is divided by 329.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.03 times -20788437.3\nAnswer: 623653.119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + 5 + -7 - (3 + 1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (37*w - 3*w - 10*w)*(14 - 1 - 11) to o*w + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ty when two letters picked without replacement from tvjmyvj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1084 is divided by 228.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 13581 = -4*m, 4*m + y - 4203 = 9348. What are the prime factors of m?\nAnswer: 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**3 + 10*j**2 + 17*j + 19. Is h(-8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5*8\/60 + 1)*(-3 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 193803329\/693 - 279658. Let t = p + -3\/77. Factor 14\/9*n**3 + 0*n + t*n**2 + 0.\nAnswer: 2*n**2*(7*n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1350\/(6165\/137))\/(4\/(-8))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*m**5 + 6224*m**4 - 352924*m**3 + 784088*m**2 - 534160*m + 96800 = 0 for m.\nAnswer: 2\/7, 1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 2*s + 2. Let z be (-3)\/(-21*s\/4). What is the closest to 1\/2 in 1\/3, z, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -2*x + 4. Let y(q) = -10*q + 21. Let f(c) = -11*h(c) + 2*y(c). Let n be f(-2). Let d be 6\/(-117)*n\/(-4). Are d and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 - 14. Let f = -4 - l. Suppose -3*i = -7*i + f. Solve 0 + i = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - -1 - (-37 + 52 - 11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**3\/15 - 1025044*d**2\/15 + 2050118*d\/3 - 1708440.\nAnswer: -2*(d - 5)**2*(d + 512532)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 - 6*g**2 + 6*g - 4. Let x = -5 + 25. Suppose -z = 4*z - x. Determine t(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19)\/91 + -14*(-20)\/980?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (5 - 6) - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 15051108.88 minus -2348?\nAnswer: 15053456.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 67, 86, 103, 118, 131?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (393\/880)\/(8\/(-112)). Let l = a + 62\/55. Find the common denominator of 67\/6 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g. Let r(t) = 1415*t**2. Determine r(d(s)).\nAnswer: 1415*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -40*h**5*w + 5*h**4*w + 42*h**2*w - 43*h*w wrt h?\nAnswer: -2400*h**2*w + 120*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4 - (-6)\/9*-3. Solve -l*w = -6*w - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.87 + -0.13. Let v = -47.7 - -48. What is the nearest to 1 in x, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -5 + 2 + -1 + 0. Calculate the remainder when 21 is divided by 6\/d + 4\/(-8)*-27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -315, -5, -3, -1, 1 in ascending order.\nAnswer: -315, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -25, -26, -11, 26, 91, 190, 329?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 247358?\nAnswer: 2, 337, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes after 3:22 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5667 - 2931. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1652, -6880, -16092, -29696, -48100, -71712, -100940?\n\"Answer: -68*m**3 - 1584*m**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 56274, 56248, 56186, 56070, 55882?\n\"Answer: -3*u**3 - 5*u + 56282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73389744?\nAnswer: 2, 3, 127, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 42 or 983\/23?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.03 - 0.03. Let o be (1 - -4)*(918\/(-4760) - (-5)\/20). What is the smallest value in -0.2, o, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o**4 - 2*o**4 + 7*o**4 + (-o**4 + 4*o**3 - 4*o**3)*(-3 + 0 + 2).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*j - 2*x + 51 = -24*j, 0 = -3*x + 4*x - 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -711 = 1229*w - 1238*w. Solve w*t = 73*t - 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1230 (base 11) in base 14?\nAnswer: 82a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(2 + 1))\/((-7)\/3)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 1, -1, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -242, -344, -446, -548, -650, -752?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -6313083, -6313076, -6313069, -6313062, -6313055, -6313048?\n\"Answer: 7*c - 6313090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0488 less than -3138.8?\nAnswer: -3138.7512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 5 + (8 - 11) + (-5 - 24).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/20710640 and -193\/393240?\nAnswer: 62131920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m\/((m*(m\/(m*m*m**(3\/11)))\/m)\/m)*m)**(6\/29)\/(m\/m**18)**(7\/5) assuming m is positive.\nAnswer: m**(1369\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5881.332ml?\nAnswer: 5.881332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -55*u**2 - 4*u. Let i(s) = s**3 - s**2 + 3*s. What is 2*i(c) + v(c)?\nAnswer: 2*c**3 - 57*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -114101 - -2?\nAnswer: -114044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 4*(((-1 + sqrt(931))*4)**2 - (sqrt(931) + -3 + sqrt(931) + (2*sqrt(931) - sqrt(931)) - sqrt(931))) + -2 + -5.\nAnswer: -952*sqrt(19) + 59657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -26\/5, 22, 3, -2, 3320 in decreasing order.\nAnswer: 3320, 22, 3, -2, -26\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**2. Let x(o) be the third derivative of -o**6\/240 - o**4\/12 - 2*o**2. Let j(u) be the second derivative of x(u). Determine v(j(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1459824347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**2 - 4388392*y - 17553632.\nAnswer: 4*(y - 1097102)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.170643728 - 132.\nAnswer: -131.829356272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.3507 to two dps.\nAnswer: 4.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide ((-18)\/21)\/(-5 - 4054\/(-812))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -32101 + 3?\nAnswer: -32043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve z = -f + 3, 0 = 258*f - 253*f - 5*z + 25 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8972.164cm to millimeters.\nAnswer: 89721.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 438551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -13  (c) -3  (d) 4\/19  (e) -3\/8  (f) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3782, 4, 2, -2, -3 in ascending order.\nAnswer: -3, -2, 2, 4, 3782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*i + 29 = 36 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6340.304 - 6335. Do 0 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 8 = -2*u. Let m = -7 - -2. Let k = -0.3 + 0.5. What is the nearest to 2 in k, m, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/6 - ((-2912)\/12)\/(-4). Which is the closest to f?  (a) -7  (b) 1\/4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 48 = -9*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2966218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(3*((sqrt(240)\/(sqrt(8)*3))\/sqrt(10) - (sqrt(3) + 5 + sqrt(30)\/sqrt(10) + 4))*-4)**2.\nAnswer: -64320 - 21600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 257641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and -4973?\nAnswer: -19892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 8832 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -323*g + 7. Let q(u) = -62*u + 1. Let f(b) = 5*q(b) - s(b). Let p(v) = 39*v - 5. Calculate -17*f(i) + 6*p(i).\nAnswer: 13*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of -y**4\/4 - 23*y**3\/3 + 2*y**2 - 46*y + 115. Does 31 divide a(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -3*h. Let v(w) = -4*w - 8. Give v(b(s)).\nAnswer: 12*s - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 486, 432, 306, 108, -162, -504?\nAnswer: -918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22573218 + 22591663 = 155*y for y.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -25*r**4 - 3160*r**3 + 3151*r**2 + 17*r. Let i(m) = 3*m**4 + 395*m**3 - 394*m**2 - 2*m. Let n(h) = 51*i(h) + 6*x(h). Factor n(t).\nAnswer: 3*t**2*(t - 1)*(t + 396)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -27 + 33. Let n be 2 - (-2 - -2) - 4. Let w be n\/(0 + (-4)\/f). Solve -k + 5 = 2*s, -5*k + 8*k = -3*s + w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*l**2 + 2*l**2 + 3*l**2 - 5*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (128\/2464*7)\/1.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u**5 - 4998*u**4 - 211490*u**3 - 196476*u**2 + 412960*u = 0. Calculate u.\nAnswer: -40, -2, 0, 1, 2581\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 3631240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3157*t - 3322*t = 6930 for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2295156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -98*j - 154*j - 2268. Sort j, -4, 5, -5, -1.\nAnswer: j, -5, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1002848 (base 13) to base 7\nAnswer: 56035154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 175997 - 176077.003. Let q = j + 80. Round q to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -769 + 702. Is z equal to -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 578*j - 479 + 479 to y + l*j and give l.\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t\/((t\/(t*(t\/t**(-1))\/t*t))\/t))**(-1\/55))**(-24))**(-10\/13))**(3\/13) assuming t is positive.\nAnswer: t**(-576\/1859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 659 divide 37251952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2\/8 + 2144850*l - 9200763045000.\nAnswer: -(l - 8579400)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -5*k + 1. Let o be x(-1). Let l = o - -1. Let j(a) = a**3 - 7*a**2 + 8. Calculate the remainder when 22 is divided by j(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -35 - 117. Suppose -3*p - 2 = -y. Suppose -2*j + 2*g - 3 = -11, -3*j = 5*g + p. Solve 0*q + 3*u + j = -q, -3*q - 2*u = 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3724 and 28.\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*2\/(-10)*(-590)\/(-177).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a hour in minutes?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-14))\/((-368)\/112). Sort 0, m, -0.7 in ascending order.\nAnswer: -0.7, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -5*g - 3. Suppose 3*d = t - 11, 3*t - 4*d - 12 = t. What is the remainder when 65 is divided by h(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 4 = 4*z - 0*z, h = 1. Let m be 1 + (4 - 5) - z. Let p(q) be the second derivative of q**4\/12 + 2*q**3\/3 + q. Calculate p(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1920 + 4005. Let g = -37507\/18 + v. Let f = g - 16\/9. Put 1, -3, f in descending order.\nAnswer: 1, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2747569.89117355 - 2.\nAnswer: -2747571.89117355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -20 + 8. Let t be ((-3)\/d)\/1*4. Which is greater: t or -8\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*v + 12. List the prime factors of 2*7 + (5 - v).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/(-2) + -3 + -7 + 5 and 71\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -107.882 + 108. Let w = 0.308 - p. Which is the biggest value?  (a) -4\/5  (b) -4\/9  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from eyezhev.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2066 + 2903. Calculate the remainder when d is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -23 - -11215244?\nAnswer: 11215221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4962, -9922, -14890, -19878, -24898, -29962?\nAnswer: -35082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 387, 366, 339, 306, 267?\n\"Answer: -3*n**2 - 12*n + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, -1.914, 4, 5, -0.4.\nAnswer: -1.914, -0.4, -2\/15, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z**3 + z - z + (2 - 4 + 3)*(-10*z**3 - 21*z**3 + 6*z**3).\nAnswer: -27*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -36*y**2 - 50*y - 1. Let h(g) = -37*g**2 - 39*g. Let x(l) = -3*h(l) + 2*z(l). Let d(n) = -2*n. Give x(d(b)).\nAnswer: 156*b**2 - 34*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -21+738756\nAnswer: 738735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q**2 - 1491727*q + 1491727*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9968 and 1232?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 1)*(-123*a**5 + 344*a**5 + 152*a**5).\nAnswer: 1119*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**4\/11 + 18800*y**3 - 5348674128*y**2\/11 + 149611536064*y\/11 - 277830029984\/11 = 0. Calculate y.\nAnswer: 2, 26, 51686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 15*f + 10. Let o = -67 + 59. Let s be b(o). Let m = s - -292. Is 38 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21645 and 93647?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -88, -100, -132, -196, -304?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 66 + -51. Suppose -225 = -30*b - a*b. Solve -b*z = m + 6 + 5, 21 = 3*m - 3*z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7298864?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -4*k**2 - 4*k - 14. Suppose 3*o - 8*o - 55 = 0. Let g(f) = 2*f**2 + 2*f + 7. Let m(a) = o*g(a) - 6*l(a). What are the prime factors of m(-6)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 9366.169 nanograms?\nAnswer: 0.009366169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -36.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:48 AM and 3:48 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -21 + 36*r**3 - 22*r**3 - 14*r**3 - 2*r - 23*r**4 wrt r.\nAnswer: -92*r**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10668 and 70644?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-196 + 197)\/((-25)\/(-4) + -4).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1561 divided by -4\nAnswer: -1561\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/15 of a minute in seconds?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -173149000 rounded to the nearest one hundred thousand?\nAnswer: -173100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-5)*24\/16 - (-1)\/((-640)\/(-404)).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(19) + sqrt(19))*4 - 4*(sqrt(19) + 0)) + -1 - ((sqrt(209)*-3)\/sqrt(11) - 1*sqrt(2736))**2.\nAnswer: -4276 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13206173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.8992 rounded to one dp?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 3248785104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*d = 345 - 37. Let n(t) be the first derivative of t**4 + t**3 + 2*t**2 - 3*t + 3. Let m(z) = 9*z**3 + 7*z**2 + 9*z - 7. What is d*n(g) - 6*m(g)?\nAnswer: 2*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 + 1 - 2)\/(-53 + 55). Factor 4\/3 + 0*z**3 - 8\/3*z**2 + 4\/3*z**4 + x*z.\nAnswer: 4*(z - 1)**2*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2020020 (base 3) to base 15.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 26515353*y**3 - 67*y**2 + 89528*y - 1?\nAnswer: 159092118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 127336285 and 0.05?\nAnswer: 127336284.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -443902, -443899, -443896, -443893?\nAnswer: -443890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 176.82 - 180.62. What is the second biggest value in k, -0.06, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1430534844.\nAnswer: 2, 3, 79, 55889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*m + 73*m + 79*m + 1240 = 208*m for m.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17915 - -18489. Calculate the lowest common multiple of 1558 and o.\nAnswer: 10906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3190958232.89999789 + -3190958218. Let a = q - 14.9. Round a to seven dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-250))\/(3\/(-5)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 12236, 12233, 12230?\n\"Answer: -3*u + 12239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (8\/(-6))\/((-5)\/15). Suppose -2*r = 3*c + 2*c + 3, t*c = -2*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-59)\/(-4) - 1*(-2)\/8. Find the third derivative of -60*k**4 - 67*k**4 + 140*k**4 - c*k**2 wrt k.\nAnswer: 312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -134, -115, -70, 13, 146, 341, 610, 965?\nAnswer: 1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 - 11*y**2 - 21*y - 2. Suppose s - 4*j + 25 = 0, 4*s + j - 768 = -800. Calculate r(s).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 145 - 144.328. Let h = 0.7 - i. Round h to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11061 = -772*l - 729 + 23319 + 28109 for l.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 160738.\nAnswer: 2, 80369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v + 2 - 2 + (5*v + 0*v - 3*v)*(1 - 1 - 1) - 2*v + 4*v - v + v - 3*v + 0*v + 0*v - 5*v + 3*v - 1239*v + 515*v + 600*v.\nAnswer: -127*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59398 is divided by 29669.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - (-2)\/(-3 + 1). Let z be (-7)\/2*(-8)\/14. Suppose -3*x = -z*b - 116, -x + j*x - 2*b = -44. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1719369723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/3*2*3. Let h(r) = -2*r + 5 - r - z*r**2 - 3 + 5*r**2. Calculate h(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 70567 - -4?\nAnswer: 70573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 7, p: 7}. What is prob of picking 2 b?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.2, 1445, 0.191, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 71 - 69. Let x be -2*(c + (-15)\/(-6)). Let i be (-2 - (-164)\/6)\/(x\/54). Round i to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(272) - -1*sqrt(272)))**2*6.\nAnswer: 480*sqrt(17) + 6678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - w - 15. Let h be 6\/w*(-40)\/(-16). What is the tens digit of ((-4)\/h)\/(1\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/108 and 97\/2599896.\nAnswer: 23399064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (132\/(-154))\/((-1 - 0)\/(-7)). Let q(n) = -6*n**2 + 17*n - 20. Let d(v) = 2*v**2 - 6*v + 7. Give y*q(z) - 17*d(z).\nAnswer: 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 - 20. Suppose -7 - 47 = -3*m. Calculate the lowest common multiple of -3*(176\/f)\/4 and m.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -123.7887357 to 2 dps.\nAnswer: -123.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 3*i + 2*i**2 - 3 - 1 - 4. Let o be t(-4). Suppose 0 = 2*h - 76 + o. Calculate the highest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 30 by -10886123.\nAnswer: -30\/10886123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 17744767 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -3*x + 8. Suppose -16 = 32*c - 36*c. Suppose 5*g + 4*y + 17 = 0, -x*y + 10 = -4*g - c*y. Let p(a) = 8*a. Determine p(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**8*o)\/o)\/(o**(-2)\/o) assuming o is positive.\nAnswer: o**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 108\/12*11\/(-99). Let p = -0.2 - 0.3. Let n = 0 + p. Which is the nearest to r?  (a) n  (b) -0.07  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10393626 and 0.6.\nAnswer: 6236175.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 1555786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.06195, -217, -5, 2\/11, 0.3 in decreasing order.\nAnswer: 0.3, 2\/11, -0.06195, -5, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 7603 = 1107. Suppose 2*f = 16*f - u. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of 41*u**5\/6 - u**2 + 800*u. Let q(j) = 2*j. Determine h(q(y)).\nAnswer: 1640*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 521 + -714. Let l(s) = -2*s**2 + 6*s - 7. Let z be l(-6). Let o = z - g. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9*m - 87.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 882029 (base 14) to base 3\nAnswer: 22200111012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78.90016l to millilitres.\nAnswer: 78900.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*m - 40*m = 0. Let a(z) = z**3 - z + 132. Let d be a(m). Calculate the greatest common divisor of d and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/10)\/(15\/600*-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + (-40)\/(-14) - (-1)\/7. Let m be ((-1)\/2)\/(j*(-5)\/80). Solve t + t + f = -m, -2*t = 2*f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (14553\/84)\/77*(-4)\/(-1). Let u be 12806 + 1 + 2 + -1. Suppose -u = -z*l + l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1236819*d**2 + 1598862*d?\nAnswer: -2473638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1301 + 332?\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 204601703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 39508\/45 - 878. Let t = -19\/90 - l. Let h be ((-2)\/28)\/(1\/4). Which is the nearest to h?  (a) -1\/2  (b) 3  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10000111 (base 2) to base 16.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t + 10. Let j(b) = -9. What is 3*j(x) + 2*z(x)?\nAnswer: 2*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/392)\/((-22)\/176*10*27\/45)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -478*f**2 + 973*f**2 - 480*f**2. Let y(q) = 40*q**2. Determine x(y(g)).\nAnswer: 24000*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.7 and -84515.\nAnswer: -84515.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 52355\/2778 + -6\/463. What is the common denominator of -31\/441 and w?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q = -15, x + 175*q - 58*q - 7 = 111*q for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -223738756*h**3*u**3 - 3*h**3*u + 19*h**2*u**2 + 1690*h - 57*u**2 wrt u?\nAnswer: -1342432536*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -89267, -89269, -89271?\nAnswer: -89273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1625 - 1038. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 292819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g\/(g*g*g\/((g**(5\/14)\/g)\/g)))\/g)\/g)\/g**(-27))**(-15) assuming g is positive.\nAnswer: g**(-4485\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10017840 and 6230.\nAnswer: 10017840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2a0 + 3843?\nAnswer: 3b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2767*f + 15*f**2 + 2767*f to d*f**2 + p + v*f and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 114660 is divided by 180.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 237 + -237.0609. Round u to three decimal places.\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - m**2 + 1)*(44 + 69 - 9) + (0*m - 2*m + 3*m)*(2*m + m - m) to k*m**2 + c*m + j and give k.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -30+1544570503\nAnswer: 1544570473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -4*w - 16, 4 + 12 = -2*a - 4*w. Let q(g) be the third derivative of 0*g - 5\/6*g**3 + 0 - 1\/24*g**4 + 10*g**2. Give q(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 235*z**3 + 228*z**3 - 701*z**3 + 239*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2588*m**5 + 32511*m**3 - m**2 + 779206*m - 38 wrt m?\nAnswer: -155280*m**2 + 195066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 972\/1426429 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 411, 805, 1199, 1593, 1987, 2381?\nAnswer: 2775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -502 > -500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2133033 (base 4) in base 16?\nAnswer: -27cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 606067441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 217, 202, 163, 88, -35, -218, -473?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15099 or 2\/3?\nAnswer: -15099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11 - -9 - -2)*(-2)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1450 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4614338*o**3 + 271*o + 2842 wrt o?\nAnswer: -27686028*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 5*m**2 + 2*m + 8. Let v(s) = 2*s - 8. Let g be v(1). Let x(c) = -c**2 - 1. Suppose q + 4*d + 6 = 3*q, 0 = 5*q + d + 7. Give g*x(o) + q*p(o).\nAnswer: o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 8 + 0 + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 341687111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -15*c. Let p(x) = -24*x + 1. Give v(p(n)).\nAnswer: 360*n - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 55368, 55388, 55410, 55434, 55460, 55488, 55518?\nAnswer: 55550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4051004 (base 9) to base 4.\nAnswer: 20033023012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -0.1  (b) -17516  (c) 3\/5  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fourty-three halves of a microgram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -2*k**2 + 53*k + 422. Let x be v(-6). Solve x = 4*l + 32 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*y = 11*y - g - 4, 0 = 6*y + g - 11. Suppose 0 = -5*m + 4 + 1. Let k be m*0*3\/(-6). Sort y, -5, k, -3.\nAnswer: -5, -3, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 + 1 - (-2 - (-892)\/(-2)). Let r = 130 + d. Suppose 49*j - 53*j + r = 0. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - -7 - 5) + (16 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3 + -7 + 2)*-1. Suppose 0 = -5*g + 5*z + 5, i*g - 5*z + 1 + 0 = 0. Calculate the highest common factor of g and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the third derivative of w**4\/24 + w**2. Let i(c) = 8*c - 5. Let o(p) = -4*p + 2. Let b = 44 + -42. Let q(y) = b*i(y) + 5*o(y). Determine q(u(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 362025 by 40.\nAnswer: 72405\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rtrr when four letters picked without replacement from pprprprtt.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 1 + 3. Let u = 0.056 + 7.344. Let p = u + -7. Which is the closest to q?  (a) 5  (b) 1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16*285\/(-7600))\/(3\/(-525))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 9:11 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 685.7 - 686. What is the second smallest value in 0.3, -0.1, 0.5, 0.036, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 - 3*l**4 - 1 - 4*l**4 + 1 + 3*l - l**4 - 3*l + (-3 - 2*l**3 + 3)*(-l + 2*l - 3*l).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -3*t. Let y(r) = 2*r**2 - r + 2. Let x(o) = 2*o**2 - 6*o + 16. Let a(z) = -x(z) + 6*y(z). Calculate j(a(i)).\nAnswer: -30*i**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 255\/(-132) + (-6)\/(-33). Let b be -39 + 12\/8*2. Let t be 6\/(-8) + 45\/b. Which is smaller: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n**5*n)\/n**(-9)*(n\/n**(4\/9))\/(n\/(n\/(n\/n**5))) assuming n is positive.\nAnswer: n**(194\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -24 + 2. Let p = d + 22.2. Which is the closest to p?  (a) 4\/7  (b) -2  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*c - 11*c + 59 - 8*c)*(-2 + 3 - 2*c**2 - 10).\nAnswer: -2*c**3 - 118*c**2 - 9*c - 531","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2073618699 to the nearest integer?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 2*y**2. Suppose 0 = -5*g - 5*w + 345, -3*g + g = -2*w - 134. Let k(j) = j**2 + 137*j - g*j - 69*j. What is k(u(a))?\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f + 1. Let k be l(7). Suppose -6*y = -2*y + k. Let w(u) = -u**3 + 2*u**2 + 2*u + 1. Let v(b) = -6*b**3 + 11*b**2 + 9*b + 5. What is y*v(m) + 11*w(m)?\nAnswer: m**3 + 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 4*s**2 + 13 - 8 - 5. Let q(l) = -6*l**2. Give q(u(m)).\nAnswer: -96*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -42, -59, -70, -69, -50?\n\"Answer: m**3 - 3*m**2 - 15*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(0 - 5) + (-135)\/99.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -11*n - 19. Let f be x(5). Let s = f + 89. Solve -4*q + s = -y, -5*q + 5*y = y - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 20*g**2 + 17*g + 45. Let b be i(-4). Let v = b - 142. What are the prime factors of v?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = 5*k + 168017 - 168174, 2*k = -184*x - 678 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + 5*h - 303, -2*b + 6*b - 595 = h. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1395\/(-558))\/((-10)\/(-8)). Sort j, -3\/5, -129\/8 in ascending order.\nAnswer: -129\/8, j, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 82 = 5*p + 62, 3*b + 18 = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -217 - 260 + 477 - 92*z**2.\nAnswer: -92*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4978 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -2*o**2 + 166*o + 7463. What is n(114)?\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b + b - 49806 = 0. Let o = b - -290571\/35. What is the common denominator of o and -43\/3?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2378 and 3403?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1048*j + 1811*j**3 - 1048*j.\nAnswer: 1811*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19564500?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/((-30)\/(-4))*285\/38. Solve u - 2*u = -h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -46 - -17. Let d = -21 - w. Suppose -3*l + 0 + 6 = 0. Solve -4*m - d + 37 = 3*g, 6 = l*g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ojsgg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 669\/(-9) - (10\/6)\/(-5). Let t = x + 107. What is the greatest common factor of 297 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - p)*(-34 + 43 + 47)*(-3 - 1 + 5).\nAnswer: -56*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 283 a factor of 4970612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**9\/z**(-2\/11) assuming z is positive.\nAnswer: z**(101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -15 + (-16 - -7 - (3 + -10))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.218 - -0.318. Which is the nearest to -0.07?  (a) -3  (b) 0.2  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 206*o + 12. Let f(c) = -41*c - 2. Give 11*f(z) + 2*y(z).\nAnswer: -39*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -3*v**3 - 19*v**2 - 3*v - 8. Let q(z) = 15 + z - 15*z**2 + 5*z**3 + 4*z + 52*z**2. Let r(u) = -7*i(u) - 4*q(u). What are the prime factors of r(15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -7*m**2 + 9*m - 5. Let l(i) = -6*i**2 + 8*i - 4. Let v(y) = 4*j(y) - 5*l(y). Let v(u) = 0. Calculate u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m**5\/8 + 41769*m**4\/8 + 560679*m**3 + 32376969*m**2\/2 + 58192836*m + 56033640 = 0.\nAnswer: -13815, -52, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 3, 56, 193, 456, 887?\n\"Answer: 7*q**3 + 4*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**2 + 2850720*t + 1015825564800 = 0. What is t?\nAnswer: -712680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -6*k + 70. Let u(d) = 2*d - 1. Let v(n) = -2*p(n) - 12*u(n). Let j be v(-12). Solve -j + 4 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5\/3  (b) -441  (c) 4  (d) 0.023\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (5 + (-128)\/24)*6. Let a(v) = 9*v + 8. Give a(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 - 5*x. Let k(z) = -z + 11. Let o be k(5). Suppose 4 = 2*w - o. Suppose -16 = w*a + 5*f + 24, 2*f = a - 4. Determine j(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -23*a - 37. Let m be y(-9). Suppose 2*z = m + 202. List the prime factors of z.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(88)*-2*-5 + -2*sqrt(88)*-2 + sqrt(88))\/(-6*(sqrt(8) - -1*sqrt(968) - 1*sqrt(392))))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.075429632 from 2.6644.\nAnswer: 2.739829632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-9)\/3 + -4 + 1. Let m = t - -8. Let v be m\/(-24) + (-2)\/(-8). Is 1 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1809 and 621.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5202 = 129150*j - 129048*j for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/3*18\/12. What is the greatest common factor of j and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3328) + -6*-2*sqrt(3328))*5 + sqrt(91)\/(sqrt(7)*1)*5 + 2 + 1 + sqrt(1300))**2.\nAnswer: 6330*sqrt(13) + 14469334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 86031 a multiple of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*k**2*n**3*z**3 - 63*k**2*n*z**3 - 2*k*n*z**2 + 2*n**3 + n*z**3 + n*z wrt k?\nAnswer: 4*n**3*z**3 - 126*n*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (232 - 206 + 800)*(-2 + 10 - 6)*(0*d + 6*d - 5*d).\nAnswer: 1652*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1603993727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 2*f**2 + 2\/3*f + 2*f**3 + 2\/3*f**4 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -35*p**3*u**3 + 2*p**3*u**2 - 1055*u**5 + 643880*u**2 wrt u?\nAnswer: -210*p**3 - 63300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7\/12 + -1\/12. Let w = -622 - -282. Let y = w + 342. What is the closest to s in y, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -102*u**3 + 154*u**3 - 54*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -50155, 4 in decreasing order.\nAnswer: 5, 4, -50155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 115\/79608102 and -13\/714.\nAnswer: 1353337734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 171, 466, 975, 1704, 2659, 3846?\nAnswer: 5271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1943*g**4 - 928*g wrt g.\nAnswer: 23316*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 7056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 36*x**6 - 72714*x**2 + 72713*x**2 + 351*x**6 - 35 wrt x.\nAnswer: 46440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2597 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 + 42 = x. Calculate the highest common factor of x and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-6)\/(-195)*-5.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 106 (base 10) to base 7\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = 6, -4*a - s - 41 = -60 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2345518 and 861.\nAnswer: 288498714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of -s**5\/60 + 13*s**4\/24 - 14*s**3\/3 - 107*s**2. Let c be o(3). Sort 5, -2, c, 1 in descending order.\nAnswer: 5, c, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*i + 1355 + 40*i + 17*i - 1354.\nAnswer: 91*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -185916*m. Let n(h) = h. Determine u(n(v)).\nAnswer: -185916*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 2 a when four letters picked without replacement from ynatennapyyyaa.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 - 11*h**2 + 4*h - 4. Let k be r(12). Is k\/4 + -2 + 0 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14325 divided by -373.\nAnswer: 14325\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 325631?\nAnswer: 325631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3b (base 16) in base 11?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + 201?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3375831 is divided by 160753?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -11.164  (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 48 = -4*n + 390, 0 = -3*x + 6. Calculate the remainder when n is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes after 11:29 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -1292*i - 1131*i + 2423*i + 2*i**2 - 33 - 4*i**2. Let m(j) be the second derivative of j**4\/12 - j. What is k(m(g))?\nAnswer: -2*g**4 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13466 is divided by 201?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3106, 3119, 3154, 3223, 3338, 3511, 3754, 4079?\n\"Answer: 2*i**3 - i**2 + 2*i + 3103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 12 + 8 = 0. Suppose 2*i - x*w = 509, 4*w - 521 + 39 = -2*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5293.2052 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/(-28) + -5*(-28)\/490. Is 2\/131 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11504, -23158, -34802, -46436, -58060, -69674?\nAnswer: -81278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -19743 - 14*a**2 + 4*a**2 - 4*a**2 + 19743. Let j(l) = -13*l**2. Give j(q(o)).\nAnswer: -2548*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14 + -16. Let n(c) = 6 - 5 - 3 - 4*c. What is n(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 + r**2 - r + 98. Let k be z(0). Let i be 3\/(-21)*k\/(-42). Which is the second smallest value?  (a) i  (b) -4\/11  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - p + 0*p + 2 = 0, -3*p + 6 = 0. Let q be ((0 - n)*-1)\/2. Let g = -31828 - -31830. Solve q = 4*a - g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -12*n + 494. Determine b(38).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-13))**2\/(q**(-2\/35))**30 assuming q is positive.\nAnswer: q**(-170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r. Let m(k) be the first derivative of -3*k**2\/2 + 2*k - 2. Suppose 4*b - 3*a - 18 = -43, 5*b + 38 = 6*a. What is b*o(p) - m(p)?\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/((-3)\/1))\/(1\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 2, -73 in decreasing order.\nAnswer: 6, 2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 2 j, and 1 u when four letters picked without replacement from {u: 1, j: 6, a: 6, b: 1, c: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 - 5*x**2 - 6*x - 5. Let g be p(-4). Let d(y) = 6*y - 4. Is 7 a factor of d(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 2. Suppose r*t = 4*t. Let f be ((-12)\/(-16))\/((-9)\/(-60)). Put t, -5, f in ascending order.\nAnswer: -5, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.7, -2\/3, -4, 2\/15, -1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*w + 6*w = 99*w - 87 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 5:24 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -8*w**2. Let z(r) = 0 + 4 - 130748*r**2 + 130698*r**2 - 4. What is z(u(q))?\nAnswer: -3200*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(204) + -1*sqrt(204))*2 - sqrt(204))\/sqrt(6))\/(1*(sqrt(72) - sqrt(72)*-2)) + 2)**2.\nAnswer: -2*sqrt(17)\/9 + 1313\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 - (-36 + 42)) + -41?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c + 13. Let l be (-2 - 1)\/(7\/(-14)). Let n be k(l). Suppose 3*t - 172 = -4*p, -4*p + 157 = 5*t - n. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -58*v**4 - 4*v + 24*v**2 + 9*v**4 - 25*v**3 - 6*v**3 + 10*v**3.\nAnswer: -v*(v + 1)*(7*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1366 - 1036. What is the highest common divisor of 150 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(1008) + (5*(sqrt(63) + sqrt(252)\/sqrt(4)))\/sqrt(9))**2.\nAnswer: 34300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 3 - (-14 + 15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.12 in 5, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 921386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -34*x - 5825. Let l(h) = h. Calculate l(k(v)).\nAnswer: -34*v - 5825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -2*q + 5, 0 = 3*k - 2*q - 18 + 11. What is the third derivative of -27*s**2 + 2688*s - 2688*s + 55*s**3 - 312*s**k - 12*s**2 wrt s?\nAnswer: -1542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 + 2\/6*0. Suppose -f = -w - 2. Suppose -s + 0*l + 28 = 2*l, f*s - 74 = -4*l. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 z when three letters picked without replacement from {o: 2, s: 2, z: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(3) - (1*sqrt(33))\/sqrt(11)) + sqrt(3) + sqrt(36)\/sqrt(3) + sqrt(3))*3)**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -46 - -183\/4. Put -1, 0.4, 3, z in increasing order.\nAnswer: -1, z, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 851.94135 microseconds to hours.\nAnswer: 0.000000236650375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 144034116 divided by -4\nAnswer: -36008529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 13*c**2 + 2*c - 1. Let y be a(1). Suppose -3*w + 0*r + y = -r, 0 = -4*w + 5*r + 37. Let p = -5 - -7. What is the second smallest value in -1\/3, w, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15.3 - 13.14. Let n = h + 36.84. What is the closest to 0.2 in -2, n, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5\/137  (b) -2\/5  (c) 0.5  (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (-3 - -98) + -25 + (7 - -6) + -1.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (-6 - (-104)\/(-39))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-333)\/(-198) - (-4)\/(-22))\/(468\/3120)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3854.654 nanograms?\nAnswer: 0.000003854654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -1\/10  (b) 4  (c) 2  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - ((0 - (8 - 2)) + 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110 = 112*l - 446. Solve 5*f - 19 = -l*o, -f + 4 + 4 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 62*v + 18*v - 2*v**2 - 7*v**2 + 8*v**2 to the form i + q*v**2 + y*v and give y.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 654 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 924 and 102273171.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a - 605 = -485. What is the highest common factor of 1596 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8700 divided by -1\nAnswer: -8700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16523055 and 3304611.\nAnswer: 16523055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q - 9. Let f be x(-13). Suppose 0*t - 2*t + 2 = -f*h, -5*h = -t - 5. Let k be (h + (-9)\/2)*98\/(-35). Solve 5*v - k*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2763 not equal to 2761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from meeemeee. What is prob of sequence eme?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5)\/(-30) + 3\/((-36)\/(-22)). Suppose -4*p + 4*y = g*y - 912, 1139 = 5*p - 2*y. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 290 a factor of 149080963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -66  (c) 0.00965\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 9997*x + 489843. Calculate a(-49).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 5*f - 14, -5*c + 50 = -10*f + 15*f. Let o be ((-8)\/10)\/(4\/20*-2). Solve 5*p - f = o*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, n: 1, b: 4, q: 5, e: 1, r: 7}. What is prob of sequence nll?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -69 - (3 + -65) - (3 + 0)*(-344)\/12?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of -40 + 1\/2*k**2 - k. Let q(w) = 4*w - 7. What is 3*j(a) - q(a)?\nAnswer: -a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-25)\/2975)\/((-76)\/3230).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -2, -5, 207 in decreasing order.\nAnswer: 207, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 18551358271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.98 - 0.02. Let x = -52 - -50. What is the third biggest value in 0, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 327*a - 106 + 106 - 332*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -570*x + 37 = -569*x + 9*n, -8*x - 3 = 5*n + 36 - 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*h + 45*h = 84. Find the third derivative of -h*t**3 - 20*t**3 + 8*t**2 - 22*t**3 + 13*t**2 + 0*t**3 wrt t.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 + 4*s**2 + 4*s. Let k(x) be the second derivative of x**5\/10 + 3*x**4\/4 + 3*x**3\/2 + 23*x. Let q = -510 - -501. What is q*p(n) + 4*k(n)?\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*f + 25538 = -25250 - 3020. Is f a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 27348 and -15.6?\nAnswer: 27363.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*d**2 + 36*d**3 + 48*d**2.\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 AM and 7:53 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.990558268 and 1.\nAnswer: 1.990558268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -622*c**3 + 3 + 108*c**4 + 622*c**3 + (5*c**3 - 2*c**3 - c**3)*(-3*c + 5*c + 0*c).\nAnswer: 112*c**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 66*q - 32*q + 140*q to the form z*q + d and give z.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 5*n, 4*m + 125*n = 123*n - 22 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 - -1. Let s be (15\/(-2))\/p*2. Solve 5*q + s*v = -10, 3*v - v = -q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 1:30 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-555 - 198 + 6)*(2*y - 4*y - y).\nAnswer: 2241*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -11*m**2 + 6. Let g(l) = -10*l**2 + 5. Let x(u) = -5*a(u) + 6*g(u). Let c(n) be the second derivative of n**3 - n**2\/2 - 3038*n - 1. What is x(c(b))?\nAnswer: -180*b**2 + 60*b - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16 (base 11) to base 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 775505632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -3\/8, -11292?\nAnswer: -11292","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2972 and -55.3?\nAnswer: -164351.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = -8*m + 3. Suppose 0 = 2*s - 1 + 5. Let f be (0 - s) + 23*1. Solve m*k = -f - 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eehhhhehehhhhhehehe. Give prob of sequence heh.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v + 2*u - 72, 4*v - 96 = -0*u - u. Suppose -5*l = 4*w - 130 - 633, 2*w - 4*l - 388 = 0. What is the greatest common divisor of v and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5253 = -3*c + 3*t, 3*c + 5*t = -1721 - 3548. Let j = c - -15752\/9. Let l = -3581\/5 + 712. Find the common denominator of j and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4, 384, 14784, -2 in descending order.\nAnswer: 14784, 384, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 AM and 9:09 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1.6, 2\/9, 3, -130, 4, -5, 3\/2?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 1 + 0)*(-7*n - n + 3*n) - 72 + 72 - 4*n)*(2*n**2 + n**2 - 2*n**2 + (-4*n + 5*n - 3*n)*(-4*n - n + 3*n)).\nAnswer: 30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - 4\/(-10))\/((-12)\/(-60)). Determine l, given that 11*l**3 - 3*l**3 - 25*l**g + 9*l**2 - 4*l**3 + 16*l = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(720)*-3.\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 9961*i - 4446. Is m(131) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19288 + -925783\/48. Let c = x + -3\/16. What is the second smallest value in -0.4, c, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -294*l = -358*l - 960 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 0*u + u**3 + 13*u + u**2 - 9*u**2 - 4. Let j be f(6). Solve j*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -332042, -332052, -332080, -332132, -332214?\n\"Answer: -a**3 - 3*a**2 + 6*a - 332044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 91*t**2 - 9958*t**2 - 11049*t**2 + 4185*t**2 to the form f*t**2 + w + u*t and give f.\nAnswer: -16731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1313.7 and 5.41.\nAnswer: -7107.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/8989 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -40 - 2*g**4 + 4*g**4 + 2*g**2 - 3*g - 2*g**3 + 39 as r*g**2 + p + b*g**4 + j*g + k*g**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -222?  (a) -2\/7  (b) -131  (c) -242\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -868000, -867979, -867944, -867895?\nAnswer: -867832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 26 - 28. Which is the closest to o?  (a) -0.5  (b) 1\/3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**3 + 6*z**2 + 2*z - 6. Let p(m) = m - 1. Let x be p(-4). Let g be s(x). Suppose g = 3*d - 6. Solve 20 = q - d*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8566 or 8567?\nAnswer: 8566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3559, -7, 1, -3 in decreasing order.\nAnswer: 3559, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p**3 - 1071*p**2 - 127449*p - 5055477 = 0. What is p?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x - 18. Let n be j(-13). Suppose -o + 2 + 15 = -5*y, -3*o = 5*y + 29. Which is smaller: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p, -4*y + 0*p + 3*p - 364 = 0. Let k = y - -95. Solve z + z - 2*d + k = 0, -4*z - d + 2 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1127 is divided by 162?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.9 - 1. Let m = -5.7 + 1.7. What is the smallest value in m, i, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4.88 - -2.25. Let u = -36.4 + 21.07. Let o = u - w. Round o to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5565075, 2, 13 in increasing order.\nAnswer: 2, 13, 5565075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j**2 - 22*j + 24. Let w be z(-12). Solve 16*m - m - 30 = w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10850 divided by -2?\nAnswer: -5425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*v + 781*v - 20064 = 0 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the third derivative of -b**6\/180 - b**5\/30 - b**4\/12 - 2*b**3\/3 + b**2. Let p(y) be the first derivative of k(y). Find s such that p(s) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 15*f**2 + 72. Let g be n(-7). Let v = g + -218. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*w + w - 325 + 703 = 2*w for w.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4097724 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 13) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2361?\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 10400775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1083582 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 925*v - 640145 = -1085*v - 2574*v - 39641 for v.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -110929 by -2.\nAnswer: 110929\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -2 + 8. Let v be ((-3)\/z)\/((-9)\/12). Solve -4 + 0*a + 2*a**2 + 0*a**2 + v*a = 0 for a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 17 = 2*n, -n + 0*n = -4. What is the lowest common multiple of 3 and (12\/3)\/4 + p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + v)*(v**4 + 1 - 1) + (0 - 17 + 7)*(-2*v**5 + 5*v**5 - 6*v**5).\nAnswer: 31*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2 + 5*p - 6. Let h be c(4). Is h\/(-8) - 118\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1888\/354 - (-1)\/6*-2. Suppose -k - 339 = -4*g, -3*g + z*k - 2*k + 252 = 0. What is the remainder when 421 is divided by g?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -2*s - 16. Let o be g(-10). What is the units digit of 126\/o + 10\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -2  (c) 0.5  (d) 4  (e) 0.081\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(300) - (-3 + sqrt(75)) - -4*((sqrt(3) - (sqrt(144)\/sqrt(3))**2) + sqrt(3)).\nAnswer: -189 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-344)\/(-28) + 2\/(-7). Let q = 6 + -3. Find g, given that -3*g**4 - h*g**2 - 8*g + 2*g**4 - g**3 - 5*g**q = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b - b + 2*b)*(-7 + 5 - 6) + 34 - 9*b - 34.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57, 36, 1, -54, -135, -248, -399?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 - 22*h**2 - 267*h - 635. What is c(0)?\nAnswer: -635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/28 and -99\/280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 11*h - 49. Give u(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i**2 - 8*i + 8. Let r(d) = -3*d**2 - 15*d + 15. Give -6*r(a) + 11*x(a).\nAnswer: -4*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2444 - -3447. Is 123 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 447 + -446.998904. What is w rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -35452.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 178350, 356778, 535214, 713664, 892134?\n\"Answer: d**3 - 2*d**2 + 178427*d - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 760 - 757. Suppose 2506 = 4*v - 5*x, -d*v = v + x - 2494. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -58*x**2 - 2*x - 5. Let v(k) = 57*k**2 + 2*k + 6. Determine -3*v(f) - 4*z(f).\nAnswer: 61*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -h**4*k + 17*h**4 - 2*h**2*k - 3*h*k + 13*k wrt h?\nAnswer: -12*h**2*k + 204*h**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 730 = 2*r, -4*l + 21*r - 20*r + 727 = 0. What are the prime factors of l?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 9, b: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as -88\/4783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 PM and 12:53 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4663*a**3 + 115*a**2 - 839441*a wrt a?\nAnswer: -27978*a + 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**2 - 244*g + 7728.\nAnswer: -4*(g - 23)*(g + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from dnznuwdzwnlldl?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -599 or -605?\nAnswer: -599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -2\/3  (b) 10\/17  (c) -0.5  (d) 2  (e) -3.9  (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/((j*j**(3\/7))\/j)*j*j*j**(-27\/4)*j**(-2)\/(((j*j**(1\/3))\/j)\/j) assuming j is positive.\nAnswer: j**(-463\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -42787.9967 + 42791. Let b = -0.0667 - w. Let c = b + 0.07. Put 0.3, -0.4, c in decreasing order.\nAnswer: 0.3, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 162956698 divided by 1\nAnswer: 162956698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gwwzzgzwwwwwzp. Give prob of picking 2 w, 1 p, and 1 z.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -31176564 divided by 4\nAnswer: -7794141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3244241 - 244?\nAnswer: -3300040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6429642 and 18.\nAnswer: 19288926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 97.44727g in milligrams?\nAnswer: 97447.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 463.4747nm?\nAnswer: 0.0000004634747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2180553 from 852311.\nAnswer: 3032864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 2 = 4*x, 0 = -2*l - 561*x + 556*x + 34 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 36*u + 40*u - 16 = 0, 3*g = -2*u + 14. Solve g*b - 10 = b, 0 = -n - 3*b + 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4537008 and 1134252.\nAnswer: 4537008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + 774?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + p - 7 = 0, 19*p + 139 = -12*x + 20*p for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 7, u: 5}. What is prob of picking 3 v?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 3370c7 (base 13) to base 16\nAnswer: 128a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3803748420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 6273*r - 31371. Determine k(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1268*v - 1268*v - 278*v**3 + (3 + 0 + 2)*(4 + v**3 - 4)*(-3 + 1 + 3).\nAnswer: -273*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -28a9a61 (base 11) to base 16.\nAnswer: -4c28dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 93613429 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 92237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is (-752368)\/(-26) + 2 + 108\/(-468) a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40302 (base 5) in base 10?\nAnswer: 2577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15445179?\nAnswer: 3, 113, 15187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/2*-2*24002\/(-22). Let k = -7673 + g. Round k to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 803679, 803666, 803653, 803640?\n\"Answer: -13*u + 803692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 84 = -0*u. Let i = -29 - u. Let b = i + -5. What is the highest common factor of b and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20685439006 - 53.46?\nAnswer: 20685438952.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hrrrhrrrrhr. What is prob of sequence hhrh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -4561272.\nAnswer: -1\/4561272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 5 + 8*c - 13 - 8 + 2*c**2. Let w be 2\/(-10) + (-195)\/25. What are the prime factors of n(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 4*p - 18. Solve 2*z + j - p = 0, -2*z + z + j = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2316 + -73?\nAnswer: -2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 218 - 438 - 3*m**4 + 223 - 54*m**2 - 166*m**2 to the form x + u*m**4 + g*m + b*m**3 + l*m**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mxmsmrmmsmksm. What is prob of sequence skr?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1330 divided by -7\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65096470.\nAnswer: 2, 5, 19, 59, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -248 - -243. Sort j, -3, -6 in increasing order.\nAnswer: -6, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17 - 4 - (1 - (-1 + -6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**1\/w)\/((w\/w**(-8)*w)\/w)*w*w*w*w**(5\/7)\/w*(w*w**(-1\/7))\/w assuming w is positive.\nAnswer: w**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 + 4*p - 1. Let k be b(2). Solve -5*z - 22 = -r, -4*z - 2 = -5*r + k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + f = 14, 3*f = i - f - 34. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 2*k - 56 = 0. Let c = 98 + k. Let y = c + -56. Is 28 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -14*l. Let d(f) be the first derivative of f**4\/12 - 8*f + 2. Let k(g) be the first derivative of d(g). What is n(k(q))?\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/857183 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 9 - (20 + -23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -51*r - 3. Let n be l(-6). Let u = -271 + n. Solve -5*m - 2*c + 9 = 2, 5*c = 4*m - u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 27 + -14. Suppose 0 = -9*m + y*m - 4. Which is smaller: 21\/10 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -4*r**2 + 26*r + 1. Calculate the remainder when 341 is divided by f(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 238 + -237. Solve 0 = -r - 4*k + 4, -5 = r - k + i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 20*g = 133 - 27, 14*c + 12*c + 5*g = 31*c - 85 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2*((-13)\/(-6) - (-2)\/6). Let s(r) = -r**2 - 5*r + 7. Let t be s(l). Find the second derivative of -t*p + 6*p + 0*p + 14*p - 28*p**5 wrt p.\nAnswer: -560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 255620536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 2 - 2) + (35 + -33 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-210)\/(-700))\/(((-9)\/5)\/1). Which is the closest to g?  (a) -1\/3  (b) -1  (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.436344 kilograms in nanograms?\nAnswer: 7436344000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 3*i**2 + 25*i + 12. Suppose -7*x + 5*x - 20 = 2*w, -x = -w + 6. Let o be r(x). Suppose 4*a = o*c + 58 + 150, -3*a + 148 = c. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1877094 greater than 1877087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-802)\/(-14) + (-7 - 94\/(-14)) is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 143 + -139. What is the third derivative of 166*q**4 - c*q**5 - 166*q**4 + 2*q**3 + 86*q**2 wrt q?\nAnswer: -240*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 74*j**3 + 9*j**2 - 140*j + 282. Calculate m(2).\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71 = -3*o - 4*a, 4*a + 101 = 5*o + 2*a. Let n = -17 + o. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/5*1563\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.2 - -1.2. Which is the closest to 1?  (a) j  (b) -5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -0.1, 2, -751053, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 48367598239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/4)\/((-2)\/(-36)). Suppose -y*o + 7*o = -8. Suppose -b - o*z + 96 = 0, 4*b - b - z - 301 = 0. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.2871264um?\nAnswer: 0.0000000002871264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 497 = -7*a + 203. Let l be (-8)\/35 + (150\/a - -4). What is the nearest to 2 in l, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4765000 rounded to the nearest 100000?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3780)\/204*(-2)\/63.\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18, 26, 22, 0, -46, -122, -234?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -660014?\nAnswer: -660014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 494, 120, 1 in decreasing order.\nAnswer: 494, 120, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17788?\nAnswer: 2, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4623760 is divided by 92474.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4040\/5050*(-5)\/(-16)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 92486 and 923095.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2929, 5913, 8893, 11869, 14841, 17809, 20773?\nAnswer: 23733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 2601\/8*m - 1\/8*m**3 + 51\/4*m**2 = 0 for m.\nAnswer: 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19, 42, 3, -128, -381, -786?\nAnswer: -1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((-2*(sqrt(130) + sqrt(130)*2)*3*2)\/(sqrt(90)\/sqrt(225) - (sqrt(250)*2 + sqrt(250))))**2.\nAnswer: -421200\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, -6, -3\/4, 6, -2\/13 in increasing order.\nAnswer: -6, -3\/4, -2\/9, -2\/13, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*y**3 + 0*y**3 - y**3)*(-3*y + y + 0*y) + 8*y**4 - 2*y**4 - 7*y**4 to the form b*y**3 + q*y**2 + v*y**4 + l + c*y and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.11, 5, -2\/7, 4\/9, -1.\nAnswer: -1, -2\/7, -0.11, 4\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 6 + 10 + 12 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 8 = 3*w, -7*f + 0*w - 2 = -w + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*w**5 - 37*w**3 - 1761*w**2.\nAnswer: 480*w**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = 5*s - 3*r, 2*s + 2*s - 2*r = 38. Calculate the greatest common factor of s and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the third derivative of 5*q**4\/24 + q**3\/6 + 10*q**2. Suppose -2*t + 6 = -2. Let k(c) = -6*c - 1. What is t*u(z) + 3*k(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 + 2*g. Let o(b) = 6*b**2 - 9*b - 5. Let z(i) = -o(i) - 4*w(i). Let l(r) = r**2 + r - 1. Determine -3*l(m) - z(m).\nAnswer: -m**2 - 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 0 - 341496*r**2 + 341063*r**2 in the form p + n*r + z*r**2 and give z.\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(2*sqrt(396) + 0) - (-4 + (((sqrt(396) - (1 + sqrt(396))) + sqrt(396))*-5 - sqrt(396))))**2.\nAnswer: -48*sqrt(11) + 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.4653, -2, -0.1, 2\/3, -0.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(-1)\/p)\/p**2)**32 assuming p is positive.\nAnswer: p**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/(84\/3))\/(1\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 4, g: 3, v: 5, j: 2, m: 5}. Give prob of picking 1 m and 3 v.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**0)\/m**(-2\/11)*(m\/m**(-2))\/(m**(-6)\/m) assuming m is positive.\nAnswer: m**(123\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*a**2 - 28*a**2 + 45*a**2 - 10*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 60 + -2?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -26 + 26.1. What is the third biggest value in -20, -2\/17, h?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-7)\/4)\/(2\/(-8)). Suppose -2*h - 35 = -c. Let w = h + 23. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*t = 4*t + 2*j - 2, 3*t - 6 = 3*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19329095.\nAnswer: 5, 3865819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2733834 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 15) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 2*d - 3. Let j be w(3). Sort j, 0, 2 in decreasing order.\nAnswer: j, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:53 PM and 4:37 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 78 and 247260?\nAnswer: 247260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 987 divide 699837285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 115 = -5*l, -3*k + 22 + 50 = -3*l. Let c = 4 - l. Suppose 0 = 5*o - j - 32, -5*o + 4*j + c = -0*j. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 4*o + 64. Let i(q) = -13*q - 193. Give -7*h(g) - 2*i(g).\nAnswer: -2*g - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -3  (b) 0.2  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 3 + 1)*(3 - 3 + 2) + 4 - 2 - 3 + 3 + 0 - 5)*(19 - 20 + 101*r + 170*r)*(4 + 5 - 4).\nAnswer: -6775*r + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**2 + 9*t + 10. Suppose 0 = 20*y - 13*y - 21. Let s be (0 + 2 - -94)*y\/9. Suppose n + 5 = w + 2*n, 0 = 4*w + n - s. Determine d(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -8827.38761 and -7.\nAnswer: -8834.38761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 divided by -2?\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the first derivative of 35*x**4\/6 - x**3\/2 - 5*x**2 + 8*x + 13. Let b(t) be the first derivative of l(t). What is the tens digit of b(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - v = 18, 0 = z - 4*v + 142 - 193 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -c*q**2 + 573522*c*q + 101*c + 139956567*q**2 - q wrt q.\nAnswer: -2*c + 279913134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9.89 + -11.89. What is the nearest to 1 in -106, -0.5, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/10 and -77\/796.\nAnswer: 3980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 1 - 3*d**2 + 0 - 4 in the form c + s*d**2 + x*d and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -4  (b) -0.5  (c) 1763\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 2*g**2 + 5*g + 6. Let h be z(-7). Suppose -5*p - 344 = -4*f - 8*p, h = f + 5*p. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 + 71)*(2 + -1). Suppose 0 = -2*n - n + f. Suppose 61*a - 12 = 57*a. What is the highest common factor of n and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uusupuvp. Give prob of picking 2 u and 1 v.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1262300162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence drd when three letters picked without replacement from xsrxiriixixiidxdidi?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.4 + -2.6. Let m = 6 + -5.7. Let t = 5 - 33\/7. What is the nearest to p in m, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2264, 2265, 2266?\nAnswer: 2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000074307364 to seven dps.\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 0 + 2 - 2*z - 5*z. Let s be (-34)\/34*9\/1. Is u(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -721 + 745. What is the highest common divisor of p and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 60 and 1440.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p\/p**(2\/47))\/p*p*p*p\/p**29)**18)**17)**(-6\/25) assuming p is positive.\nAnswer: p**(2247264\/1175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 8*c - 403. Determine a(51).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004079 rounded to 4 decimal places?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -308\/57 + 2159\/1254. Let v be ((-11)\/788)\/(45\/(-5040)). Let m = -13243\/5516 - v. What is the common denominator of m and r?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 249 and 155703?\nAnswer: 12923349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 + 2260256?\nAnswer: 2260252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9300, -18606, -27914, -37224, -46536, -55850, -65166?\nAnswer: -74484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 6. What is the third derivative of 9*a**x + 6*a**6 + 11*a**2 + 0*a**2 wrt a?\nAnswer: 1800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, j: 10}. What is prob of sequence jj?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**2 + 17*y + 48. Calculate f(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -4*t - 44, -4*u - t = -6*u + 29. Suppose 4 = 2*c + u. What is the third biggest value in -1, c, -2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 127 = -c - 4*m, 260 = 2*c + 3*m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3\/15 - 97726*b**2\/15 + 220879120*b\/3 + 148244844000.\nAnswer: 2*(b - 25300)**2*(b + 1737)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 13681 + -2?\nAnswer: 13678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 28 = 4*j. Suppose 2*u - 548 = -j*a, u = -4 + 8. What is the highest common factor of 54 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 AM and 12:50 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6156 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from mmkmokkkoioimmkmnmk?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 8 = -n + 6*n, -g + 1 = 0. Let q(x) be the second derivative of 0*x**n + 0*x**3 + 4*x + 0 - 1\/4*x**4. Let s(o) = 2*o. Determine s(q(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2190540 is divided by 2652.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 113 divided by -4\nAnswer: -113\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*l**4 + 23*l**3 - 2 + 88557*l**2 - 88560*l**2 - 13*l**3 to b*l**4 + m*l + d*l**2 + y*l**3 + z and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iifz when four letters picked without replacement from {f: 6, z: 1, e: 1, g: 1, s: 4, i: 2}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the first derivative of -y**7\/840 - y**6\/45 - 7*y**5\/120 - y**4\/8 - y**3 - 4. Let r(u) be the third derivative of j(u). Give r(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45894261, -45894259, -45894257, -45894255?\nAnswer: -45894253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j**2 + 8*j - 17. Let l be z(-7). Let f = -24 + l. Solve -5 = -2*v - 5*h + 2, 0 = v - 2*h + f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-716)\/(-7) - 16\/56. Suppose -2*b = 5*q - l, 2*b + 5*q = 4*b - 122. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/741  (b) 102.09  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*v - 288320 + 289079 = 0 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.022, 1\/3, -1\/8 in descending order.\nAnswer: 1\/3, 0.022, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -74 greater than -174\/205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 AM and 4:14 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes before 5:23 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -132 and -1?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -76 - -86. Calculate the smallest common multiple of j and 8 + 0 - 4\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4961500 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 5*m + 4, -8 = -3*v + 2*m - 2. Let l(p) be the first derivative of p**4\/4 + p**3\/3 - 5*p**2\/2 + 2*p - 410. Give l(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*p**2 + 16*p - 194*p**3 - 5*p**2 - 7*p**2 - 19*p + 15 + 195*p**3 in the form x*p**3 + b*p + r*p**2 + h and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) -3  (c) -79  (d) 0.03  (e) 18  (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -27.79 - 0.21. Let q = l - -23. Which is the closest to -0.1?  (a) q  (b) -9  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 less than -35117247?\nAnswer: -35117258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -192574 - 25762 = -32*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -217326209 to the nearest 1000000.\nAnswer: -217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16 by -222592.\nAnswer: 1\/13912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 + 10*t**2 + 7*t + 90. Determine v(-13).\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7712.91 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m + 2*m + 0*m)*(1 + 176*m + 3 - 159*m).\nAnswer: -17*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 463 - -325. Suppose 4*l - r = -2*o, -1044 = -4*o - 2*l + 502. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9789329700 rounded to the nearest 1000000?\nAnswer: 9789000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-2 + -4 + sqrt(882) + (sqrt(882) + sqrt(882)*2 - sqrt(882))**2 + sqrt(882)).\nAnswer: 84*sqrt(2) + 7044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m\/(m*m**(-38)*m)*m)\/m*m*m**44*m)\/(m**(-2\/9)*(((m\/(m**19\/m)*m)\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(929\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2b987b5 - 3?\nAnswer: -2b987b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of 15 - 1\/4*x**4 - 3\/2*x**2 - x + 0*x**3. Determine w(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 279618 and 14.\nAnswer: 1957326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (24 - 0)*-7*5\/(-70). Determine u so that -40*u**3 + 7 + 24*u**3 - 4*u**4 - l*u**2 + 16*u + 1 + 8 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 59.89636 to 1 decimal place.\nAnswer: 59.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 639*g**2\/4 - 659*g\/2 + 20 = 0. What is g?\nAnswer: 40\/639, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6  (b) -5\/17  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -14*w - 262. Let p be n(-19). Suppose -d = 2*m - 2120 + 299, 7349 = p*d - 5*m. What are the prime factors of d?\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 - 5*z + 8. Let l(v) = v**3 + 5*v**2 - 7*v - 17. Let j be l(-5). Suppose j = 3*n - 3. Calculate x(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*(d**(6\/11)*d)\/d*d)\/(d*d**(3\/19)) assuming d is positive.\nAnswer: d**(290\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**2 + 35*g - 71. Suppose -3*b + 70 = -986. Let z be 4\/6 + b\/12. Calculate the remainder when k(z) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -2*d**3\/5 + 16*d**2\/5 - 2*d - 20 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/10, -0.03751, -0.4, 2\/9, -22, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 + 35 - (37 + (19 - -1)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 AM and 2:31 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -657*l**3 - l**2 - 40*l - 39. What is s(-1)?\nAnswer: 657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -813, -1461, -2151, -2907, -3753?\n\"Answer: -4*c**3 + 3*c**2 - 629*c - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 117 and 949.\nAnswer: 8541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 2*z + 14. Let j(x) = -65*x + 20. Is j(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*j + j + 3*j)*(-j + 2*j + 0*j) + 1931*j**2 - 811*j**2 + 1231*j**2 as f + h*j**2 + v*j and give h.\nAnswer: 2349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 7, b: 2}. What is prob of picking 2 b?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 35916 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xqxqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -9*u**2 - 2. Let c(v) = 3*v**2 + 490*v - 14. Give c(i(g)).\nAnswer: 243*g**4 - 4302*g**2 - 982","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 3*(6*-2*sqrt(5200))\/(sqrt(24)\/((sqrt(1350) - sqrt(6)) + sqrt(6))).\nAnswer: -5400*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-33)\/(-39) + 10\/65\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 702068 or 702067?\nAnswer: 702068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + c - 4*p = 35, -2*c = p - 43. Suppose -2*w + 497 = -3*r, -688 = -3*w - 2*r + 77. What is the highest common divisor of w and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*36\/54*(-3)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qvv when three letters picked without replacement from jvenqvpjvqjjenp.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, -1, -0.14, 1.\nAnswer: -2, -1, -0.14, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 35518291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.4 at least as big as -3157546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 42, -5, 3, 2 in increasing order.\nAnswer: -5, 2, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lnnlnwnnwnlnnnlnwwh. What is prob of picking 1 l, 2 n, and 1 h?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3218379.8 and 2.\nAnswer: 6436759.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 203, 242, 301, 380?\n\"Answer: 10*z**2 + 9*z + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -19119731.2 rounded to the nearest 10000?\nAnswer: -19120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, -1791, 4 in increasing order.\nAnswer: -1791, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnw when three letters picked without replacement from {v: 4, g: 1, w: 3, n: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 4*s - 49. Let l(h) = h**2 - 9*h - 8. Let y be l(s). Let n(k) = y*k**2 + k - 3 - 3*k**2 - 2*k + 1. Calculate n(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, p: 2, k: 1, x: 1, s: 1, g: 1}. Give prob of picking 1 g, 1 q, and 2 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*p - 8*p - 6 = 0. Let g = 457\/11 - 949\/22. Calculate the common denominator of (0 - p)*(-4 - 107\/(-12)) and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 7 + 55. Let l be -4 - (c\/(-2) - -4). Solve -2*g - 2 + 6 = l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 497*d + 324. What are the prime factors of n(8)?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 93.26201 grams?\nAnswer: 93262010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 5*u + 0*u + 1 + u. What are the prime factors of c(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -62\/33 and 25\/115866?\nAnswer: 1274526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 22 = f. What is the remainder when f is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/9*3)\/(-1). Which is the closest to 3\/2?  (a) p  (b) -1\/7  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 - 4 = -q + 4*w, 0 = -q - 2*w + 12. What is the second derivative of -7*m**4 + 2568*m**2 - 2*m**5 - 2568*m**q + 47*m wrt m?\nAnswer: -40*m**3 - 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 5 - 11310*v**2 + 4*v - 5*v**3 + 11306*v**2 - 3. Let w = 6 + -2. Let o(l) = -l**3 - l**2 + l. What is w*o(r) - g(r)?\nAnswer: r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -892369 (base 15) to base 9\nAnswer: -13264580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28952, -28958, -28974, -29006, -29060, -29142, -29258, -29414?\nAnswer: -29616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 43*s**2 + s - 1. Calculate x(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-10)\/(v\/((v*(v\/(v\/(v\/v**(-4))*v)*v)\/v)\/v)))**(-10\/9) assuming v is positive.\nAnswer: v**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cll when three letters picked without replacement from {l: 2, b: 2, k: 7, c: 7}.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*((n*n\/(n**(2\/15)\/n))\/n*n)\/n)\/(n*n**9*n) assuming n is positive.\nAnswer: n**(-122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -24, -47, -84, -135, -200, -279, -372?\n\"Answer: -7*f**2 - 2*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*x**4 - 65*x**3 - 195*x**2 - 135*x.\nAnswer: -5*x*(x + 1)*(x + 3)*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + (12 - 7) - (4 + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5\/1 - 4 - (-1 - 0). Solve 0 = -3*i + 7 + k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 times 40\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 697802585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 605 and 18535.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -167388, -165501, -162356, -157953, -152292?\nAnswer: -145373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2170932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -4535860, -4535863, -4535866, -4535869?\n\"Answer: -3*z - 4535857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 34948\/5 + ((-60)\/(-25))\/6. Let m(d) = 6990*d - r*d + 2*d**2 - d**2. Let q(g) = 8*g**2 - 4. Determine q(m(b)).\nAnswer: 8*b**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -4*s**2. Suppose -2*g + 7*g = 40. Let h(c) = g*c - 210 - 215 + 425. What is k(h(p))?\nAnswer: -256*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and 77?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 387 is divided by 47.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are -2317 and -3107 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46 + (14\/10)\/(-18*1\/90).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 32 + -27. Let z = 7 + -8. Let k(i) = i**2 + 2*i - 1. Let u be k(-3). What is the closest to 1\/5 in t, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 - 5*c**2 - 7*c - 10. Let j be q(-4). Let d be 1\/2 + 10\/4. Suppose d*x = -4*f - 22, -x + 2 = 4*x - 3*f. Sort 5, j, x in increasing order.\nAnswer: x, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.45101472 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 179\/1146750 and -49\/73392?\nAnswer: 9174000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4 - (-108)\/9) + (4993 - 3). What is the greatest common divisor of v and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2273252 is divided by 86?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -643*s**5 - 408*s**5 + 2836*s**5 + (0*s**3 + 3*s**3 - 2*s**3)*(-2*s**2 + 0*s**2 + 0*s**2).\nAnswer: 1783*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102 (base 13) to base 8.\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 199069.\nAnswer: 13, 15313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 92078527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-618)\/(-42) + 2\/7 + -2. Suppose -8*p = -u*p + 8845. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1234, -44\/41, -2\/3?\nAnswer: 1234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2155 - -6188. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8026 (base 13) to base 12\nAnswer: -a234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of -t**5\/20 + t**4\/4 - t**3\/2 + 5*t**2\/2 + t + 8. Let m be z(2). Solve p = 4*n - 17, m*p - 9 = -3*n - 0*n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -8*b + 17. Let s be u(11). Let z = s - -74. Suppose z*n = n - 8. Put 4, -27, n in increasing order.\nAnswer: -27, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n - 9 = -3*n, -5*z + 5*n = 130. Is z less than -55\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 + -207 + -1 + 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2466 and -0.65909.\nAnswer: 0.162531594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -293, -1634, -3869, -6998, -11021, -15938?\n\"Answer: -447*n**2 + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/16*1 + 52\/160. Let q = 64 + -63. Which is the nearest to -2?  (a) q  (b) n  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 2*u = 5, 0 = -l - 2*u + 5 - 4. Let h be (-203)\/(-6) - l\/6. Let m = 123 - 72. Calculate the greatest common divisor of m and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 3*m**2 + m - 1. Let t be d(1). Suppose -48*a + 46*a = 250. Let h = a - -873\/7. What is the third biggest value in -0.3, h, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -223 - -223.5. Let q = 2194\/9 - 244. What is the closest to -3\/4 in q, g, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 6*z - 2. Let q(b) be the second derivative of -1\/6*b**3 + 0 + 0*b**2 + b. Let s(g) = -g**3 - 6*g**2 - g - 2. Let y be s(-6). Calculate y*q(c) + j(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 2*n - 6, 5*v + 3*n - 6*n + 4 = 0. Let d be (15\/(-6))\/(1\/v). Suppose d*t - 9 + 3 = -m, 4*t = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 34 = 3*x, 2*x - 20 = 2*g - 4*g. Let m = 14 - x. Suppose -m*h + 26 = -4. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 10 + 7b9766b?\nAnswer: 7b9767b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 = -22*b - 186. Let z(s) = 3*s**2 + 15*s - 94. Is 13 a factor of z(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 7 = -4*a - 0*a, 0 = 5*j - 4*a - 19. Let u(o) = -21*o + 10*o + j - 2 + 15*o. Let b = 3 + -2. Determine u(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the first derivative of -9*v - v**2 - 1\/4*v**4 - 2*v**3 - 43. Calculate b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 5:30 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4986962*n**5 - n**2 + 47558*n wrt n?\nAnswer: 299217720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v + 2. Let o(f) = -11*f + 29. Let w(a) = o(a) - 5*z(a). Let m be w(2). Suppose -m*t + 162 - 43 = 0. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkoovkkaooo. What is prob of picking 1 o and 1 k?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 3*l - 15*l - 7 + 4.\nAnswer: -12*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8968 + 8963. Let f = -3295\/21 + 157. What is the closest to 0 in u, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -195 - -122 - -66 - -18\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 4, -20, 5, -1\/4, 252\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -2*r - 7. Let f = -9 + 4. Let s be x(f). Suppose -s = -2*b + 5. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24 - 36 + 171*r**2 - 168*r**2 + 60.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 12 = 5*x, -9626*x + 4 = l - 9627*x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.4 + -0.2. Let p = -225040\/11 - -20490. Let t = 32 - p. Which is the second biggest value?  (a) 0.4  (b) t  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 131038, 292696, 454340, 615964, 777562, 939128, 1100656, 1262140?\nAnswer: 1423574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 46*4\/(-14)*(-70)\/5. What is the highest common divisor of s and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = 2951*q - 2942*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 1 + 5*c**2 + 0 + c**2. Let f(k) = 2*k - 1. Let h be f(1). Give g(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3361, 6337, 11301, 18259, 27217?\nAnswer: 38181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -11b7 (base 12) in base 14?\nAnswer: -a39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*s + 12 = -7*s. Solve 0 = 2*i - 4 - s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (138 - 147) + 7*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 + 6*k**2 - 8*k + 2. Determine b(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-2\/19))\/q)**47\/(q**(-1\/12)*q**5*q) assuming q is positive.\nAnswer: q**(-221\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 + 23. Solve 24 = -d*a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, -0.05209, -0.4, 4\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/((k*k*k**(2\/7))\/k))**(-34\/3)\/(k**(-2\/5)*k**8*k) assuming k is positive.\nAnswer: k**(-563\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1*3)\/((-3)\/(-2)). Let c be 1*-46*n*1. Let z = c + 378. What is z rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-861316*99\/(-22))\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100110111001000 (base 2) to base 16\nAnswer: -4dc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence emt when three letters picked without replacement from mtgme?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -30*f**2 - 755*f**5 + 192*f**5 + 8*f**2 - 16*f**2 - 184*f**2 wrt f?\nAnswer: -33780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 188652 and 24?\nAnswer: 377304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yomgnnngyynm. Give prob of picking 1 n and 2 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 8 = 3*b, -16*j - 2*b - 10 = -21*j. Solve -4 = -j*o - 8 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 12703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 159, 171, 205, 273, 387?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - -4)*3\/(-2). Let o = 2 - h. Suppose 2*d = -5*m + 196, 3*m = 3*d + 116 + 10. What is the highest common factor of m and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 273?  (a) -1728  (b) 0.1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 - 3*g**2 - 7*g + 6. What is the tens digit of l(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/3)\/(-1*(-8)\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 2 + 3, 2*f + 7 = 5*b. Suppose 3*v - r + 6*r - 24 = 0, 2*r = -v + f. Suppose q = 3*q - 4. Solve -v - q = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1446 and 474.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g - 6. Let w be n(0). Let o be (3\/(-3))\/1*w. Suppose -o*p = -3*p - 9. Solve 9 = -2*t + p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-16)\/(8 + -4) + (-12)\/(-2). Solve -h*n - j = 3, 4*n = n - 3*j - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*4 + (-12)\/(8 + -4). Suppose -t*p + 130 = 5*o - 355, -271 = -3*o + p. Is 3*(-4)\/(-24)*o a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ozeoefo. What is prob of sequence eo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 10 = 2*y, -32 = 3*q - 5*y - 17. Let r(s) = s**2 + 4. Determine r(q).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5, 20, 35, 50?\n\"Answer: 15*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1810 is divided by (-4)\/(-26) - (308\/6)\/((-585)\/135)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 6 - 51. Let m be (6\/9)\/((-4)\/(-18)). Suppose 128 = 4*v + m*t + t, -2*v + 44 = -2*t. Calculate the remainder when v is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3046739*z**5 + 18*z**4 + 116574153*z**2.\nAnswer: 182804340*z**2 + 432*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, r: 1, c: 2, i: 2, s: 1}. Give prob of picking 1 s, 1 i, and 1 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - -2. Suppose 0*r - j*r + 24 = 0. Suppose m - r = 7. Is m greater than or equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of -5*d**3\/6 - 2*d**2 - 4*d. Let m be i(-2). Let u(c) = -c**3 + 6*c**2 - 3*c + 5. Calculate u(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t + 589 - 50 = 0. Let f = 80 - t. What is the highest common divisor of 7 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 690.1 rounded to the nearest 10?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 134 + -28. Let a = -108 + n. Is a greater than or equal to 5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 82 + 83. Suppose u = 13*l - 2*l. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 479298*z**2 + 4. Let a(g) = -6*g. What is a(p(m))?\nAnswer: -2875788*m**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d + 34. Let p be x(0). Suppose 3*y + 2*n - 59 = 0, 6*n = -2*y + 2*n + p. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 23, -21, -17 in descending order.\nAnswer: 23, 0, -3, -17, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 10 - 42 + (-51 + 60 - 66)*(1 + 1 + 0))*(0*t + 2*t - t).\nAnswer: -147*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7\/2 - -9. Let m(q) = 67*q + 806. Let j be m(-12). Solve 5\/2*n + 1 - h*n**2 + j*n**3 = 0.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -840 (base 9) in base 8?\nAnswer: -1254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11388867421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 210012112111 (base 3) to base 9\nAnswer: 705474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13323*k**3 + 65 - 12487*k**3 - 65.\nAnswer: -25810*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1778.45 + 1778. Which is the smallest value?  (a) 0  (b) t  (c) 3\/38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 822\/7 + -117. Which is the nearest to -1?  (a) h  (b) -5  (c) 5\/6  (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10*(-45)\/1200)\/((-3)\/(-4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bcc when three letters picked without replacement from {c: 3, b: 2, j: 12}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-3*sqrt(2) + 0)**2*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/1*-2*(-21)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(68)*2 - sqrt(68)) + sqrt(68) - sqrt(68)) + sqrt(68)*2*-5)\/(2*sqrt(16)\/(sqrt(4)*-1)).\nAnswer: 13*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2. Let s(q) be the first derivative of 8*q**3\/3 - 4. What is s(w(u))?\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 0.75034.\nAnswer: 0.37517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2\/13 - 30856708*v\/13 + 119017053574658\/13.\nAnswer: 2*(v - 7714177)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 1620714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -48*j. Let z(p) be the first derivative of -46*p**3\/3 + 1265. Calculate h(z(u)).\nAnswer: 2208*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1853161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15132, -15331, -15540, -15759, -15988?\nAnswer: -16227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17 - 16. Let a(v) = 7*v + 0 + 0. Is a(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -422 or 0.046?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 divided by -22.\nAnswer: 23\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -22447279*p**2. Let u(s) = -2*s**2. Calculate u(t(b)).\nAnswer: -1007760669007682*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 n when three letters picked without replacement from {q: 2, p: 4, u: 3, n: 1, t: 5, z: 5}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from seddredmsddsmemeemr.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 23 = -3*g + 5*s, 2*s = 2*g + 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of w**7\/840 - w**5\/40 - w**4\/12 - 4*w**2. Let o(x) be the second derivative of p(x). Differentiate o(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(((3 + (sqrt(304) + 1 - sqrt(304))*5 - ((1 + sqrt(304))*6 + 0)) + -4)*-3)**2.\nAnswer: 2592*sqrt(19) + 295596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/10, -4\/145, 5.6?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1018*d + 630 = -1060*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -108 - -107.53. Let l = -89.53 + n. Let k = 90.93 + l. Round k to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -77 + 79. Determine u, given that -1\/3 - 2\/3*u - 1\/3*u**i = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, o: 1, p: 1, r: 1, k: 1}. Give prob of picking 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20397765 by 144665.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14012496 by -10664.\nAnswer: -1314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than -2\/16714733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5404 is divided by 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u + 3. Let j(t) = -t - 8. Let o be j(-4). What are the prime factors of m(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {t: 2, r: 3, b: 8, c: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4486603 - 4486603 - 1297*v.\nAnswer: -1297*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = p - r, 4*p - 5*r = -9 + 36 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 x, and 2 n when four letters picked without replacement from gixxiginggiggngggggi?\nAnswer: 22\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 17744181373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16707379 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 3*w - 1611, -12*w + 9*w - 4*v + 1611 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2252 + -0.3\nAnswer: -2252.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*2*(-5*2*sqrt(26)*-4)\/(6*1*sqrt(4)\/sqrt(2)).\nAnswer: -40*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 533123.\nAnswer: 41, 13003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 - 9*y + 6. Let l = -719 + 711. Determine b(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*o + 29*o = 4*b + 28, 0 = -2*b - 5*o - 23 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 8*r - 28. Let w = -1 - r. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s + s + 0*s)*(-1 - 4 + 3) + 0*s + 0*s + 3*s + 67 - 87*s + 50*s + 31*s + 68.\nAnswer: -7*s + 135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2761, -19645, -65473, -154717, -301849, -521341, -827665?\nAnswer: -1235293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1, 2, 36 in descending order.\nAnswer: 36, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 78183158 and -1.\nAnswer: -78183158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.155119 rounded to four dps?\nAnswer: 0.1551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3954841 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -180.9 - -129.06. Let d = z + 0.84. Let x = d + 51.0000071. What is x rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 13*t**2 + 10*t + 16. Is b(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/5 in -0.2, 18, 4, 0.042, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11)*-1*-1 - (5*sqrt(11)*3)**2.\nAnswer: -2475 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 947285 is divided by 170?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = 21*f - 20*f - 5*n, -199*n = 4*f - 195*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -6\/47, 3, 5, 0.4, 0.12?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from ejddd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 300 and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 39\/60 - (-2)\/(-5). Let t = 23 - 277\/12. Is i < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/2, -12, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 167 - 144 = 3*p - 5*o, -3*p - o = -17. Calculate the lowest common multiple of 279 and p.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (2 - 8 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of p**4\/4 - 2*p**3\/3 - 17*p + 737. What is s(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 5}. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 10:51 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -189654, 0, -37 in descending order.\nAnswer: 0, -37, -189654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -21 + (-33728)\/1122 + 51\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 250 is divided by 86.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61 = -0*c - 5*c - q, c = -4*q - 3. Calculate the highest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*x + 350*x - 218*x - 65*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -308*u = -324*u + 80 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 16 = 2*v. Suppose -1 = 3*l - v. Suppose -21 = -f + l. Calculate the least common multiple of 10 and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.6 - -0.9. Suppose f - 2*f - 1 = 0. Let z be 3\/(-6)*(-3 + f). What is the closest to -0.2 in z, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 6555, 4 in ascending order.\nAnswer: 4, 5, 6555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -738, -728, -702, -654, -578, -468, -318?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 + (-52 - 19) + (1 - 3 - -41) + 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16660036 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25 + -1. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that h**5\/4 - h**4\/2 - 11*h**3\/4 + 2*h**2 + 5*h - 4 = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 0 - (-35 - (-68 - -48)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 2459 - 655 = 0. Let a = u + -2. What are the prime factors of a?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8670 - -13745. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 119 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -259 + 258. Let r(m) = -23*m. Let t be r(3). Let f be 4\/(-8) + t\/6. What is the second smallest value in -4, j, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.03  (b) 1  (c) -2  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-20))\/(4 - (-14)\/(-20))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/(-532)*(-742)\/(-424).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d - 5 = -12*d. Suppose 1501 = -5*x + 1496. Sort d, -5, x in increasing order.\nAnswer: -5, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -277, -1148, -2653, -4792?\n\"Answer: -317*s**2 + 80*s - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of w**5 - 5*w**4 + 5*w**3 + 10*w**2 - 20*w - 27. Determine y, given that l(y) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 6:43 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (4 - (5 - (1 + -3))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 37 - -12. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1775464 is divided by 231.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 338027452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31685822?\nAnswer: 2, 7, 2263273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 1 + 4)*(81*u**3 + 6*u**2 - 91*u**3 + 3*u**2) to the form n*u + b + k*u**2 + r*u**3 and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 - 32740017934664.\nAnswer: -32740017934664.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -737 or -6620\/9?\nAnswer: -737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the third derivative of 17*g**4\/24 + 17*g**3\/6 - 7*g**2. What is the derivative of k(m) wrt m?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 504*q**2 - 336*q**2 - 164*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4015850 is divided by 227?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes after 2:02 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-6*sqrt(5)*4)**2.\nAnswer: -8640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -273935.809 rounded to the nearest one hundred?\nAnswer: -273900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p - 4 + 4)*(-2 - 4 - 4)*(26 + 19 - 52)*(-1 + 1 - 3*p**4) + 11*p - 11*p - 8*p**5.\nAnswer: -428*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -2  (b) 31  (c) 10  (d) -1  (e) 1.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/1176 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -15*h**2 + 6*h + 4. Determine m(-2).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*c = 11 - 23 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d**3 + 3160*d**2 - 46284*d - 167400 = 0. Calculate d.\nAnswer: -3, 18, 775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0862983 rounded to three dps?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes before 12:08 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**2 + o + 10. Let q be 2*3\/(-6) - -1. Does 4 divide n(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.7 - -5.737. Let n = 1.037 - t. Let l = 0.1 + -0.1. Which is the closest to l?  (a) n  (b) 2\/19  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 40 and 256?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 + -5. Let k = -1.3 - x. Let r(g) = 37*g - 258. Let u be r(7). Which is the biggest value?  (a) k  (b) 4  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (20\/15)\/(5\/45). Let x be ((-2)\/q)\/(1\/(-6)). Let k be (1\/1)\/1 - 1. Solve 0 = -o - k - x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 3166*u**2 - 2 + 3174*u**2 + 3152*u**2 - 9464*u**2.\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of -5*c**4\/12 - 3*c**3\/2 + 527*c**2\/2 - 3638*c + 2. What is the first derivative of i(p) wrt p?\nAnswer: -10*p - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -81576739*f**2*s**2 + 92676841*f**2*s wrt s?\nAnswer: -163153478*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 111\/4360 and 16\/2533?\nAnswer: 11043880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.0918946171 less than 5?\nAnswer: -2.0918946171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 5 + 1 + -18 + 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 770934 is divided by 159?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-13) - ((-17)\/26 + 2). Which is bigger: n or -29?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23.9*0.2\nAnswer: -4.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 5*v = 25, -c + 6*v - 10*v - 20 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/(105\/(-24)))\/(93\/465)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 82109215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.113 and 213.7.\nAnswer: 213.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 54032, 108970, 163908?\n\"Answer: 54938*n - 906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/1)\/((-1)\/(-2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.3 less than -0.054?\nAnswer: -4.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.51170203 to 3 decimal places.\nAnswer: -0.512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 55379201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -17 in -4, 3, -0.94?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + -7. Sort 2, s, 4.\nAnswer: s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -501636, -501634, -501632, -501630?\nAnswer: -501628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12*g*l**3*v**2 + 2*g*l**3*v - 306*g*l*v**2 - 4*g*l*v - 2*g*v**2 - 159*l**3 - l**2 wrt v?\nAnswer: 24*g*l**3 - 612*g*l - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.74881 plus 887?\nAnswer: 887.74881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, 41\/16, -9, 3\/5, 48.\nAnswer: -34, -9, 3\/5, 41\/16, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 167877 and 87142761?\nAnswer: 7299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1900*b = 1945*b - 225. Solve 0 = -0*u - b*u + 35 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 4*a + 270 + 312 = 559, -28 = 4*a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 784 and 13132.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2152, 8651, 19498, 34705, 54284?\n\"Answer: 2*a**3 + 2162*a**2 - a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 + c. Let r be g(3). Let u(a) = a**3 - 6*a**2 + 5*a - 6. Let o be u(6). Let m = 34 - o. What is the highest common divisor of m and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*s**5\/23 + 354*s**4\/23 - 12066*s**3\/23 + 74174*s**2\/23 + 185952*s\/23 + 4320 = 0. Calculate s.\nAnswer: -207, -1, 12, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = m - 28732, -21603 = -2*v - 3*m - 2467. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:42 AM and 12:31 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 3105917586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/10))**32\/(g**(-2\/15)\/(g**27*g)) assuming g is positive.\nAnswer: g**(94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*h**2 - 8*h**2 - 10*h**3)*(-3 + 7 - 3) + 3*h**3 + h**3 - 3*h**3 - 2.\nAnswer: -9*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 29527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -16250 + -7258.76\nAnswer: -23508.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 0 = 4, -2*h - 2*m = -6. Solve -1 + y**h - 2 + y + 3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 450 and 17075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 40*s + 4. Let q(j) = 79*j + 9. Let g(z) = 7*p(z) - 3*q(z). Let b be g(1). Suppose -3*o = 3 - 69. Calculate the greatest common factor of b and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14908 rounded to the nearest one hundred?\nAnswer: 14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l - 10 = -3*l. Let u be (1 + l)*(-1 - 3). Suppose 2*x + 74 = 3*y, -2*x - x = -u*y + 98. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -63.231704225\nAnswer: -68.231704225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + 4, -2*t - 2*f = 2*t + 16. Let k(y) = y + 2. Let c(l) = -3*l - 6. Let d(g) = c(g) + 2*k(g). Calculate d(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 230213 (base 4) to base 14\nAnswer: 107d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 27*r = -25*r + 5, 5*r = -l - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 2:06 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, p: 4}. Give prob of sequence ppp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 226238545?\nAnswer: 5, 13, 191, 18223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 3*d**2 + 30*d + 12. Let m be o(-9). Let p(b) = 4*b + 128. Let i be p(m). Calculate the highest common divisor of 442 and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111 - 1010010010100111?\nAnswer: -1010010010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1507361000 rounded to the nearest 1000000?\nAnswer: 1507000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-26))\/(201\/((-57486)\/(-220)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, 54, 5, -67, 7, 12 in descending order.\nAnswer: 54, 12, 7, 5, 3, 2, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 10, x: 1, f: 2, g: 3, s: 3}. What is prob of picking 1 f and 1 g?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79c (base 15) to base 10.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4251177 and 77?\nAnswer: 46762947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.418 plus 0.1?\nAnswer: -1.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 11 and -4.1.\nAnswer: -45.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 2 - 3)*(-i**2 - i**2 + 3*i**2)*(-3*i**2 + 0*i**2 + 5*i**2).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, 132 in decreasing order.\nAnswer: 132, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/140 and -197\/1223040?\nAnswer: 1223040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -121.3, -4, 0.3, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of 0 + 1\/6*g**3 - 5\/24*g**4 - 2*g**2 + 0*g. Let w(z) be the second derivative of z**3\/6 + 35*z. Give -l(q) - 4*w(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18944 and 424834.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8237874 by 6.\nAnswer: -1372979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 112612.2um?\nAnswer: 0.0001126122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18820 by -941.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 211110111112100 - 10010?\nAnswer: 211110111102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 191148 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*m + 43 = 65*m - 5*b, -17 = 2*m + b for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2101 + -101?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.15 + 83484931\nAnswer: 83484930.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -193 - -202 - (-1 + 4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 3*y - 29 = 3*c, c - 3*y + 5 = 0. Let l(f) = -2*f - 13. Let o be l(c). Suppose -8*z - o*z = -143. Is 13 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 2*i + 17 = 0, i + 46 = 2*b + b. Suppose 5*h + f = 5*f + 27, -3*h - 2*f = -3. Calculate the highest common factor of h and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -19*q + 20. Let p(y) = 1. Let n(m) = -i(m) - 5*p(m). What are the prime factors of n(4)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 9*v. Let f(z) = -236*z + 2. Determine c(f(a)).\nAnswer: -2124*a + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*s**2 + 6*s + 5*s - 11*s + 22*s**2.\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -7*s. What is f(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -431*a**3 - 436*a**3 + 1 + 4*a**4 - 2 - 2 + 869*a**3 + 6*a as j*a + r + q*a**2 + n*a**4 + w*a**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 l, and 2 c when four letters picked without replacement from wbwbwwwwlwccwbb?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 47\/2 + -26. Let o = 502 + -501. Which is the third biggest value?  (a) 0.5  (b) h  (c) o  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 9:13 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3759*h + 3805*h - 1152 - 1148 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7300, 14551, 21804, 29059?\nAnswer: 36316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1288)\/(-40) - 5\/25) + -5. Let l(k) = 5*k**2. Let t(d) = -36*d**2. What is c*l(o) + 4*t(o)?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 23*x + 93. Give m(-6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 23 and 56.3?\nAnswer: 1294.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.16763032 times -0.1?\nAnswer: -0.016763032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5\/6 - (-16565)\/30. Suppose -10*b - f = -573. Solve h + m - 4 = 0, 0*h + 4*m = -b*h + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 k when three letters picked without replacement from {u: 7, k: 6, w: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 >= 79975\/2514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*t - 1 + 1 + (1 + 4 - 3)*(3*t - 2*t - 2*t) - t + 0*t + 0*t)*(-2739 - 6311 + 4484 - 2679 - 19510) to the form z*t + w and give z.\nAnswer: 133775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*g = -16*g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 53 = -3*u - 33, 4*i = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = 5*w + 12, -5*w + 4*y - 24 + 6 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 - -16. Solve -5*k + l*k = -3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 152.9 + -163. Let v = -10 - q. Sort 3, v, 2.\nAnswer: v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*s - 2*v, -62*v + 11 = -3*s - 67*v. Solve w - 5 + s = -5*o, 3*o + 12 = -5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 154825118 to the nearest 1000000.\nAnswer: 155000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + 3. Let w = -52 + 113. Let b = w - 51. Calculate the lowest common multiple of b and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14547926751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4)\/(-91))\/(6\/21). What is the third biggest value in l, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48 - 10 = -19*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 36\/28 - (0 + 1). Let n(q) = -q. Suppose -4*g + g = 0. Let a be n(g). Is x bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 478571, 478587, 478603, 478619, 478635?\n\"Answer: 16*a + 478555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 999\/(-8) - 4\/32. Let x = m - -244. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.072 plus -0.5276?\nAnswer: -0.5996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-640)\/5040*(515\/(-60) + 8). Let s = 0.06 - -3.94. What is the third biggest value in s, j, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -2*h + 1. Let t(n) = -n**3 - 7*n**2 - 6*n - 2. Let g be t(-7). Suppose -g = -3*f + 11. What is the remainder when f is divided by y(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -m**4 + 5*m**4 + 19*m**2 + 2*m**2 - 24*m**2 + m**3 + 2 to j*m**4 + z*m**2 + o + q*m + s*m**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8)\/sqrt(2)*-4 + ((1*sqrt(40))\/sqrt(10) - sqrt(4)))\/(((2*sqrt(56))\/sqrt(4))\/sqrt(7)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -4*b**3 + 49*b**2 - 13*b + 16. Let k be j(12). Let y be (33\/(-44))\/(77\/(-44)). Find v such that 0*v**2 + 0 - 3\/7*v**k + 0*v + y*v**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(288)*-3)**2 + sqrt(288) + (-2 + sqrt(288))*-2 + sqrt(288).\nAnswer: 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14246 - 128216\/9. Let n = -10 + 15. What is the third smallest value in 0.4, 3\/2, m, n?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, b: 1, v: 1}. Give prob of sequence bvm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34, -80, -128, -178, -230, -284, -340?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 1660584 = -2*z. Let o = -378375 - z. Let p = 111153 - o. Round p to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -233 + 104 - 4*b + 61 + 105. Let k = 3 + -18. Is o(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of h**3\/4 - 3*h + 11. Factor u(s).\nAnswer: 3*(s - 2)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n\/(n*n*n**18))*n**(6\/11)\/n)**(-3\/46) assuming n is positive.\nAnswer: n**(-645\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -5*d**2 + 12*d - 13. Let y be i(4). Let h be (-9)\/y + -218*(-1)\/10. Is h\/(-1*39\/41 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*f**5\/17 - 35430*f**4\/17 - 35418*f**3\/17 + 177134*f**2\/17 - 6252*f = 0. Calculate f.\nAnswer: -17714, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/13))**(-11\/2)\/((s*s*s*s**(-11))\/(s\/(s**(3\/11)*s))) assuming s is positive.\nAnswer: s**(2089\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 77\/2 of a kilometer in meters?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91137.\nAnswer: 3, 17, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 73173497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 + 7*z + 8. Let f be i(-6). Let w be 8\/f*(-2)\/20. What is the second biggest value in -2\/7, w, -7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 4*r + 524, 5*a + 4*r - 385 = 261. Suppose -3*q = 2*q - a. Calculate the remainder when 127 is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(34)\/sqrt(2) + 1 - (sqrt(17) + sqrt(68)\/(sqrt(4)*2) + sqrt(17)).\nAnswer: -3*sqrt(17)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 21464 (base 10) to base 9\nAnswer: 32388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 + 2 = 2*q. Calculate the least common multiple of q and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -85 and -0.1.\nAnswer: 8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 135*x = 133*x - 34, -5*l = 3*x + 41 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00010615398 rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-2 + (1*(1*sqrt(475))**2 - (0 + sqrt(475))*3)) + -3.\nAnswer: -45*sqrt(19) + 1416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 - 2*r. Let s(x) = 2*x + 8. Let b be s(-7). Let t be ((-2)\/4)\/((-3)\/b). Let u be d(t). Solve -3 = 4*m + u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -4*g. Suppose 5*h + 4*x = 0, -2*h + 3*x - 2*x = g. Solve 5*s - 20 = -4*p, h = -3*p - 5 + 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccccccppcp. Give prob of picking 1 p and 1 c.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11385215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0006878734 to six decimal places.\nAnswer: -0.000688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -342951, -685891, -1028835, -1371783, -1714735?\nAnswer: -2057691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 95872234 to the nearest integer?\nAnswer: 9791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/(-4)*(-556)\/26271?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.4 - 0.2. Suppose 3*l - 5 = -2*l. Let r be -2*((0 - l) + 0). Which is the nearest to r?  (a) -0.3  (b) -4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 775 divided by -5.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3159 greater than 3159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1348 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -471*m**2 - 40*m**5 + 71*m**5 - 47*m**5 wrt m?\nAnswer: -960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 50. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -106168, -106168, -106166, -106162, -106156?\n\"Answer: r**2 - 3*r - 106166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - 5*n - 4360, 0 = -2*o - 2*o + 3*n + 3493. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*l + 813*o - 809*o + 100 = 0, l - 2*o - 50 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 22.68?\nAnswer: 23.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1913 is divided by 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.0195 or -1061?\nAnswer: -0.0195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*x = -22*x + 4*x - 80 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 4737433?\nAnswer: -2\/4737433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 3 - 3 - z**2 + 3*z - z**2 - 3*z + (-z + 2*z - 2*z)*(3*z - 5*z + 3*z))*(-2*z**2 - 4*z + 4*z).\nAnswer: 6*z**4 - 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 935?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -7*z - 2. Let k be p(-2). Suppose -j = -4*a + 9, -3*a + 2*j - 3 = -2*j. Solve -a*m = -0*m - k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 36, 73, 106, 135, 160, 181?\n\"Answer: -2*f**2 + 43*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -863992 (base 13) in base 7?\nAnswer: -35526334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 7*c**2 - 3*c - 3. Let b be p(3). Let n(v) = -11*v**2 + 258*v + 102. Let o be n(23). Let z = b - o. What is z rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a5a - -277?\nAnswer: -793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -64.04 - -64.84. Which is the third smallest value?  (a) -2\/7  (b) g  (c) -32  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 10:16 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 + (-1)\/2)*(-1664)\/192. Suppose 4*i + 12597000 = -d*i. Round i to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.3 + 3.7. Let p(j) = -14*j - 127. Let g be p(-9). Let v = -250 - -1747\/7. What is the closest to g in 4, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**3 + l**2 + l + 4. Let i be o(0). Solve 0*w + i = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1826)\/3 - 12\/(-18). Let r be 1888\/o - (-4 + 1). Which is the smallest value?  (a) 4  (b) 1\/3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 = -5*p + 22*g - 27*g, 0 = -5*g - 25 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0012252453 to six decimal places.\nAnswer: 0.001225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.7 or 139908\/17?\nAnswer: 139908\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*k - 14*k - 10*k**2)*(2 + 2 - 6).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**6\/((u*u**(-2\/3))\/u*u)*u*u\/u**(-2)*u**(2\/5))**(19\/2))**(-13) assuming u is positive.\nAnswer: u**(-37297\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xw when two letters picked without replacement from xuyyyzyyywyuuuwy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 AM and 8:36 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -0.02, 0.029, 2, -0.1, 5?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.159 to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 17*x + 7 + 2*x**2 - 4.\nAnswer: 2*x**2 - 17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3*60\/(-18)*3\/6. Put 234, u, 0 in ascending order.\nAnswer: u, 0, 234","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/5055730 and -8\/55?\nAnswer: 55613030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -0.2, 0.3, 10086, 1\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Solve 7*g + 46 - 18 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 10*q**2 - 49*q + 1550. What is the units digit of y(25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2876*x**2 - 5155*x**2 + 14029*x**2 + 12203*x**2 in the form c*x + f + m*x**2 and give m.\nAnswer: 23953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 49222080 and 1728?\nAnswer: 49222080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -3*c**4\/2 + 549*c**3\/2 - 24279*c**2\/2 - 76725*c\/2 - 25947 = 0.\nAnswer: -2, -1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.221832 to three decimal places.\nAnswer: -0.222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 46841270 and 246?\nAnswer: 140523810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dv when two letters picked without replacement from nvzanxxd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 228\/(-13) - (-1884)\/(-4082). Suppose -5*h - 41 = t, -3*t + 4*h = t + 44. Which is smaller: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 19*g + 2. Suppose 3*m - 7 - 4 = -5*s, -s = 4*m - 9. What is v(m)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-11\/7)\/y)\/(y**(-1\/14)\/y*y))\/((y\/(y*y**7))\/y**26) assuming y is positive.\nAnswer: y**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 25 = -5*i, 6 - 2 = 2*i + 4*z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 2*g - 20, 3*c = -0*g + 3*g. Find the second derivative of -3*l**5 + 5*l - g*l + 4*l wrt l.\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 14683 + -1?\nAnswer: 14682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + -203323110032?\nAnswer: -203323110033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 9304, 12, -2, 7, -1, 11, 5 in descending order.\nAnswer: 9304, 12, 11, 7, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j + 9*j + 15. Let i be 121001 - (-3)\/j*1. What is i rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -5*y - 20, 0 = -3*y - 5*w - 15 + 3. Let c = y + 3. What is the closest to c in 1, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 greater than 75.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1740 and 20280.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -343, -1793, -4871, -10117, -18071, -29273?\nAnswer: -44263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2\/7 + 27949*r\/7 - 83856\/7.\nAnswer: (r - 3)*(r + 27952)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -2*i**2 + 4*i**3 - 61*i + 8 - 3*i**3 + 5 + 63*i - 17. Suppose 0 = -7*n + 4*n + 9. Suppose 0 = -d + 2, -5*d = 4*l + n - 25. What is u(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 30 = -2*x, -2*z + 3 + 2 = 5*x. Let g be z\/1*(-7)\/(-14). Is (1 + g)*(-3 - 0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -135 + 138. Suppose -473 = -3*v + 2*s - 7*s, o*v = -s + 469. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 5 + 1 = 0. What is the common denominator of 40\/6*80\/25 and 4655\/60*h\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2060 is divided by 341.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0  (b) 0.07  (c) 1  (d) -2\/9  (e) -14\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2*b - 455 = v, -4*v = -4*b + 620. Let j = v + 1068\/7. Let s be 0 - -1*2 - 1. Is j less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 552 = 345*t - 322*t. Let q = -12447\/530 + -4\/265. Let o = q + t. What is the nearest to 0 in o, -1\/9, 1\/6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.9 - 3.4. What is the closest to 0.1 in d, -2\/13, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes before 5:49 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = 2, -q + 6*q - 23 = -0*o + 2*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 u, and 1 x when three letters picked without replacement from {c: 1, j: 1, x: 3, r: 2, u: 5, b: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -4, -1\/6, 0.002, -3\/8, -0.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4508 + 4513. Sort d, -0.5, 1\/29.\nAnswer: -0.5, 1\/29, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4939487 and 2318.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 23*j - 27*j - 1 - 1 - 2*j - 2*j + 2*j + (0 - 1 - 3)*(-2*j + 3*j + 0*j) as t + d*j and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 + 568*y**2 + 3413*y + 44. Calculate f(-6).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*g + 3*g + 0*g - 5*g + g + 2*g - 2*g + 0 + 0 + (2*g - 1 + 1)*(-5 + 3 + 1) + 4*g - g - 4*g - 2 + 2 - 2*g + 166*g + 196*g + 62*g.\nAnswer: 414*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f - 15 = 8*f. Suppose -3*o = -f*o. Let a(k) = -4*k + 2. Let s(w) = -5*w + 1. Let u(v) = -4*a(v) + 3*s(v). Give u(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1441 and 732776.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -2*c - 4*h, 0 = -5*c + 3*c - 3*h - 9. Solve 0 = v + c - 1, -n - 3 = -v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.128 and 47367495130.33.\nAnswer: 47367495130.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 139*d - 11*d - 2 + 98*d to the form c + v*d and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 14, r: 1}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/216 and -13\/158679.\nAnswer: 1269432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -a**5 + 287*a**4 - 21298*a**3 + 101382*a**2 - 140013*a + 59643 = 0. What is a?\nAnswer: 1, 3, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 5*b - 5 = 0, 4*m + 10*b - 14*b = -16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -642010698\/23 or -27913508?\nAnswer: -642010698\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*f + 0 + 0)*(-16*f + 7*f + 11*f + f**2 - 9) to j*f + m*f**2 + r + v*f**3 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum -69133 and -902322078.\nAnswer: -902391211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is (5 - (14 + -7))*(-966 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -16*v. Does 17 divide b(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5d0ea (base 15) to base 7.\nAnswer: 2345350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/123 in -2, 0.44, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -0*d - 2*d + 1772, d - 4*o = 891. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 18, -30 in decreasing order.\nAnswer: 18, 4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 AM and 10:03 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 93 + -86. Suppose 5*f - 53 - q = 0. What is the third biggest value in 0.3, -3, f, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 = -63*k + 384. Calculate the remainder when 444 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + y + 39*y - 45 - 9*y.\nAnswer: 31*y - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 180876186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*a + 24*a - 230. What are the prime factors of a?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 52 + 444?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/(-4)*(-18)\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 528811 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -377, 3, -5, -4 in decreasing order.\nAnswer: 5, 3, -4, -5, -377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1548897 to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((3\/1)\/(6\/8))\/(285\/((-26505)\/(-12)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**2 + 598830*o - 17929868445.\nAnswer: -5*(o - 59883)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70890*m + 212630*m - 70928*m + 4*m**2 - 70922*m.\nAnswer: 4*m**2 - 110*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 190921807 a multiple of 1334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 356217.\nAnswer: 1424868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b = -r - 2, 2*r - 317 = -67*b - 321 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1363010138571 - -292?\nAnswer: -1363010138279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 + -1)\/(4\/(-298)). Suppose -f + p = -148. Let q = f + -148. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((f*f*f\/f**(3\/5))\/f)\/f)\/f)\/(f*f\/(f*f*f\/f**(-3\/26)))*(f\/(f**(-3\/5)\/f)*f)\/(f*f*f*f\/f**(-1\/21)) assuming f is positive.\nAnswer: f**(37\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -155*y**4 + 216*y**4 - 3*y + 179*y**4 + (2*y + 0*y + 0*y)*(2*y**3 + y - y).\nAnswer: 244*y**4 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -182, -51161, 4 in descending order.\nAnswer: 4, -182, -51161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (69\/1242)\/((-7)\/((-770)\/(-11)))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.06 - 0.06. Let u = 2.92 + 0.08. Let x = -0.11 - -4.11. What is the third biggest value in x, t, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + j - 117 = 0, t = -j - 55 + 20. Let i = -26 - t. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 - 7*c**2 + 9*c - 14. Let y = 44 + -38. Let v be j(y). Suppose 1 = -a, 5*b - 4 = v*a + 10. Is b >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2054, -2053, -2052, -2051?\nAnswer: -2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 1546 divide 122134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 3926 + 4210 = 0. Let t(f) = -f + 11. Let m be t(6). Suppose m*h = 2*s - v, s + h - 345 - 1018 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44623 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 1371 = -2*j, -4108 = -3*a - 10*j + 15*j. Let o(u) = 1188*u**2 - 4*u + 2. Let c be o(2). Suppose 5*z + a = c. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31765000 rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6.6 and -4093791?\nAnswer: -27019020.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 71241 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 14*y**4 - 46*y + 10*y - 17*y**4 + 0*y**4 - 3*y**4 + y**4 + (2 + 2*y**3 - 2)*(y + 3*y - 2*y) in the form x*y**4 + d + i*y + m*y**3 + o*y**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 3, 228\/5.\nAnswer: -1\/3, 3, 228\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*q - 1229 = -1301 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*-2*sqrt(136) - 4*2*sqrt(136))\/((((sqrt(96) - (sqrt(96) - -1*sqrt(96))) + sqrt(96))\/sqrt(12) + sqrt(8))*3))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 68284 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sjjjjjisjjjsddjyiijd. Give prob of sequence sjj.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 4*m. Let n(g) = g**3 + 11*g**2. Suppose 33 = 3*k - 6*k. Let z be n(k). Solve 4*a - 20 = m, l + 9 = a - z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/147, -4, -41, -0.5, 4, -5?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fyfyffyafy. What is prob of picking 1 a, 1 y, and 2 f?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.4 and 103.08.\nAnswer: 144.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the second derivative of -r**5\/80 + r**4\/3 + 17*r**3\/24 + 2*r + 107. Factor d(y).\nAnswer: -y*(y - 17)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 + b1?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 2*h**2. Let l(c) = -774*c + 14. Let u(q) = 513*q - 9. Let f(m) = -9*l(m) - 14*u(m). What is t(f(w))?\nAnswer: 93312*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(3*(4*sqrt(5700) + sqrt(5700)))\/(2*sqrt(27) - -4*(sqrt(3) + sqrt(3)*1)).\nAnswer: 300*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -9013814*v**2 + 15*v**3 - 3*v**4 + 9013763*v**2 - 3 - 2 + 5 as o*v**2 + f*v**3 + q*v + x + i*v**4 and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37018 is divided by 550.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 - 21*l**2 - 23*l - 34. Let a be x(-20). Calculate the greatest common factor of a and 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 211 + -120. What is the remainder when i is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14492907349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w + 3. Let c be k(-10). Let p = -10 + c. Suppose 0 = 6*u - 2*u + 2*v - 12, 0 = 2*u - p*v + 2. Solve -u*b = -3*b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 7 + 5. Suppose -2*q = -3*q + r. What is the third derivative of 3*c**6 - 9*c**6 + 0*c**6 - c**2 - q*c**2 wrt c?\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 4*r**2 + 3*r + 22. Let k be w(-9). What is the greatest common factor of 29 and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -102435307*g**4 - g**3 + 116743394*g**2 wrt g?\nAnswer: -2458447368*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) 4  (c) 15185  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -o**2 - 9474*o - 9480*o + 28431*o - 9477*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*i + 4, -13311*y - i - 123 = -13315*y for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 8*i = 4*q, -2*q - 20 = 3*i. Put 0, 2, 5, q in descending order.\nAnswer: 5, 2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 5, -2, -27 in increasing order.\nAnswer: -27, -9, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(153) + (sqrt(1088) - (sqrt(1088)*2)**2).\nAnswer: -4351 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 0 + 0 - f**2. Let i(u) be the first derivative of 5*u**6\/72 - 4*u**3\/3 + 1. Let p(g) be the third derivative of i(g). Give p(m(a)).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 5*p - 6*q + 3*q, 20 = 5*p + 5*q. Let z be (((-2)\/3)\/2)\/1. What is the closest to z in 3, 2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z + 0 = 12. Suppose -x = 3*r + r - 17, z*r = 8. Suppose -3*b = 5*m - 6*b - 93, -5*m = 3*b - 117. Solve 4*q = -x + m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1.2, 4.88, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 + 272*q + 1378. What is d(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p + 3*p. Suppose p = -2*d - 4*y + 3*y + 167, -d = -y - 85. Suppose 4*m = -4*j + d, 4*j + 9 + 15 = 2*m. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8283 + -4593. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7\/14815008 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 15 = 5*j + 5, 4*j - 14 = 2*p. Let b be ((-2)\/(-2))\/(3\/p). Suppose 4*q + 5 = o, -o - 3 = 3*q - b. Which is greater: o or 3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of g**5\/5 - 29*g**4 + 114*g**3 - 170*g**2 + 113*g - 2437. Factor z(b).\nAnswer: (b - 113)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, i: 3, a: 2, h: 3, c: 1}. Give prob of picking 1 c and 1 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 50.51 - -0.49. Let i = 50.999961 - z. What is i rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1a194 + -866?\nAnswer: -1aa3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = 3*p - 6, 187 = 3*n + 2*p + 185 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86006a (base 13) to base 10.\nAnswer: 3141798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -237 - -157. Let d = 79 + j. Let y be 2\/9 + 112\/(-666). Is y at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.35782 - -3.63812\nAnswer: 3.99594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*r**3 - 8*r**3 + 3*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 34521910 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -366*l + 777. Is t(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(3\/5))\/a*a\/((a**(1\/13)\/a*a*a)\/a)*(a\/((a**13*a)\/a)*a)\/(a\/(a*a**(2\/3)*a)) assuming a is positive.\nAnswer: a**(-1757\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)\/(3*sqrt(10)) + -2 + 1*sqrt(7))**2 + 3.\nAnswer: -16*sqrt(7)\/3 + 175\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 4*l = 1, -2*l - 5 = -22*i + 17*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 213251 divided by 3?\nAnswer: 213251\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -97964 greater than -97967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/15?  (a) -1  (b) 4\/3  (c) 0.02  (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t - 5 + 5)*(-2 + 0 - 6) + t + 2 - 2 - 498 + 498 - 31*t.\nAnswer: -46*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and ((-4)\/6)\/((-2)\/54).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 1, 19.\nAnswer: -5, 1, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 8 = -8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 316.3131 millennia in centuries?\nAnswer: 3163.131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 - -1 - (-3 + -4). Let h be 3 + 0 + (-1 - -3). Suppose h*y - 24 = 1. What is the highest common factor of g and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 15 or 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the first derivative of c**4\/4 + c**2\/2 - c - 3. Let z(m) = -5*m**3 + m**2 - 8*m + 6. Let f(t) = 6*j(t) + z(t). Factor f(w).\nAnswer: w*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 290 = -50. Let s(l) = -l - 2. Let h be s(-5). Let c be h\/(-9) + 138\/9. Calculate the highest common factor of c and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108 + 103*f + 103 - 101*f - 320 + 109.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.27 - -7.27. Let h = -9 + g. What is the second biggest value in 1, 5, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - 1) + (22 - 2). Let c = -13 + 23. Let i = -6 + c. Solve -4*t = i*s + x, -t - 2*s = 2*s + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 305, 615, 941, 1289, 1665, 2075, 2525, 3021?\n\"Answer: t**3 + 2*t**2 + 297*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z**3 + 5*z**3 - 2*z**3 + (-1 + 1 - 12*z)*(106*z**2 - 349*z**2 - 901*z**2).\nAnswer: 13730*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 - -13. Calculate the greatest common divisor of 16 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -190 (base 15) in base 6?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-423*w**2 + 211*w**2 + 210*w**2 - 71)*(1 + 1 - 3)*(0*w - 6*w + w).\nAnswer: -10*w**3 - 355*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -1417*y + 618. Is v(-29) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 + 2*k)*((-1 + 1 - 2*k)*(-3*k - 2*k + 3*k) + 1 - 2*k**2 - 1 + (3*k + k + 0*k)*(-11*k + 24*k + 15*k)) to u + r*k + n*k**3 + v*k**2 and give n.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -29*s**2 - 3162*s - 91. What is the remainder when (-3)\/(-3) - -155*3 is divided by i(-109)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10170188 and 3526.\nAnswer: 416977708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2062 - 1985. Solve 73*t = h*t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8 - 0) + 9 + -32 + 18\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -148*a**5 + 146*a - 4 - 56*a**5 + 4 + 327*a**5 wrt a?\nAnswer: 2460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-27))\/((-8)\/6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 minus 1724531?\nAnswer: -1724530.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9093*2.2.\nAnswer: -20004.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 43, -9, 4, 31, 7, 5.\nAnswer: -9, 4, 5, 7, 31, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1011242 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 72587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**2 + 2*v**2 + v**2)*(-5 + 3 + 9) - 4*v**2 + 6*v**2 - v**2 - 3*v**2 - v**2 + 3*v**2 + (-v + 2*v - 2*v)*(-1 - 2*v + 1) + 2*v**2 + v - v.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.2 - -0.8. Let g = x + -1.91. Let d = -0.59 + g. Sort d, -0.1, 0.1.\nAnswer: d, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 2*z + 5*z + 2 + (1 - 1 + 1)*(-2*z - 1 + 1) - 4*z + 0*z + z.\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 224*r**2 - 33*r - 3. Let c be u(4). Suppose 0*s + s + c = 5*m, 2*m + 3*s = 1366. What are the prime factors of m?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -74.893 - -75.293. Let f(y) = y - 4. Let n be f(5). Which is the closest to n?  (a) v  (b) -3  (c) 0.2  (d) -2\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (60\/2805)\/(8\/44). What is the third smallest value in z, -0.1, -1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 661391641?\nAnswer: 2347, 281803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -2, -3, 84, 4, 3, -215 in descending order.\nAnswer: 84, 4, 3, -2, -3, -7, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -f**4 + 8*f**3 - 5 - 2*f**2 - 4*f**3 + 1 - 6*f**3 in the form x*f**4 + u*f + a + r*f**3 + j*f**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**2 + 5*r - 2. Determine z(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 792 = 3*d. Suppose 3*j + c = 2*j + 228, j = 5*c + d. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1012642822?\nAnswer: 2, 29, 61, 193, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3225134 and 676.\nAnswer: 3225810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the third derivative of 0 + 2*w**2 + 0*w + 0*w**3 + 1\/60*w**5 + 0*w**4. Let b(d) = -d**2 + 3*d**2 - d**2. Give b(u(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 + 11*d**2 + 6*d + 77. Let h be q(12). Solve 2*a - u + h = 0, 2*u = 2*a - 0*a + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 PM and 6:55 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6774.565nm to micrometers.\nAnswer: 6.774565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 578082\/(-84) + 4\/(-56). Round d to the nearest 100.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zc when two letters picked without replacement from zzzzzczccczzzzzc?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*d**2 + 2*d**4 + 46 + 5*d**3 - 47 - 2*d**3 - 2*d**3 as m*d**4 + k + n*d**3 + w*d + y*d**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 1397*x**2 + 44*x - 111. Let l(y) = -279*y**2 - 8*y + 20. Let a(c) = 11*l(c) + 2*n(c). Let k(w) = w**2. What is k(a(b))?\nAnswer: 75625*b**4 + 1100*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 - 25*y**2 - 24*y - 23. Calculate i(26).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -76*t**6 - 670*t**4 + 5*t**2 + 207314*t - 2 wrt t?\nAnswer: -9120*t**3 - 16080*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 277, 2\/9, -0.1, -1\/6.\nAnswer: -1\/6, -0.1, 2\/9, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4 - 0) + (8\/(-16) - -5). Let q = 1 - 0.8. Let w = q - 0.2. Which is the nearest to -4\/3?  (a) -1\/8  (b) k  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1206 and 1080.\nAnswer: 72360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 1114*p**2 - p - 1167*p**2 + p. Let k(t) = -t. Give v(k(s)).\nAnswer: -53*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3401521 + 2?\nAnswer: 3401523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -16*f + 11. Let r(s) = -34*s + 58*s - 27*s + 2. Calculate 6*n(w) - 33*r(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of 3*d**2 + 7*d - 114. Let h(n) = n + 1. Let j be h(5). Let y = 0 - j. Let l(o) = -7*o - 8. Give y*s(m) - 5*l(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of b**4\/4 + 25*b**3\/3 - 53*b**2\/2 + 18*b + 2578. Calculate g(-27).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -8*i**2 + 19*i**2 + 6 + 4*i**3 - 3*i**3 + 10*i - 6*i**2. Let y be f(-5). Let j = 36 - y. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 4119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 + 8*j - 7. Let o be m(8). Let a(x) = -x**3 - 7*x**2 + 2*x + 16. Let i be a(o). Suppose -5*w = -3*q + 544, -i*q + w = -3*q + 176. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15328, 15424, 15518, 15610?\nAnswer: 15700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 560983?\nAnswer: 17, 32999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1222*s**2 - 1222*s**2 - 8*s**3.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11 - (147 + -159))\/(6\/(-3) + 111\/9)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-91)\/26 - 2)*252\/(-33). What is the highest common divisor of w and 7770?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 273595 (base 12) to base 3\nAnswer: 1012222000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -137, 757, -4 in descending order.\nAnswer: 757, -4, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v = -3*k + 167 - 140, -3*v + 61 = 4*k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0*u + 2*u - u)*(1 + 1 + 5) + (3 + 10 + 1)*(u + u - 4*u))*(0*u**3 + 3*u**3 - u**3) as t*u**3 + r*u**2 + n*u**4 + w + i*u and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 3*i = 258, 0 = -r - 5*i + 3*i + 259. Let -50*h + 5*h**3 + 134*h**2 - r*h**2 + 142*h**2 = 0. Calculate h.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29.6*-9.4998.\nAnswer: 281.19408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (((-18)\/6)\/((-96)\/(-592)))\/((-39)\/(-156))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*u - 11*u = -152. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*c - 7*c + 5*c + 16*c**2.\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1909603201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 16449, 16453, 16457?\n\"Answer: 4*p + 16445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.01577  (b) 0.2122  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5677180267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -51*a**2 - 6*a.\nAnswer: -3*a*(17*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1 - -0.14. Let b = -165 + 494\/3. Sort b, f, -0.3 in increasing order.\nAnswer: b, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 26 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 AM and 12:53 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6274?\nAnswer: 2, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -27788*n**3 - 40021 wrt n.\nAnswer: -83364*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/6*8)\/((2325\/(-25))\/279).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -585705994 + -20624.\nAnswer: -585726618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -134a9 (base 13) in base 15?\nAnswer: -a9cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + 1 + (3 + -5 - -54 - -2) + 8?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16754416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 54561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 996.474 nanometers in micrometers?\nAnswer: 0.996474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1759547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/940 and -73\/260.\nAnswer: 12220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(5 + (1 + sqrt(208)*-3 - (sqrt(208) + (sqrt(208) - (sqrt(208) - 1*(sqrt(208) + 0))) + sqrt(208))) + -3 + -2))**2.\nAnswer: -1728*sqrt(13) + 269604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -0*m + 25. Let o be (1\/1)\/(-10 - m). Which is the nearest to o?  (a) -0.4  (b) -1  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23*z**2 + 27*z**3 - 67*z**3 + 15*z**3 wrt z.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*r + 1 - 12*r + 6*r + 0.\nAnswer: -31*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -6250516.4 rounded to the nearest one hundred thousand?\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33 + 47 + 97 + -43.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - f + 48 = 0, 3*f - 42 = -5*a + 77. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1027577 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the first derivative of -4*h**5\/15 - 5*h**2\/2 - 51. Let z(v) be the second derivative of d(v). Let b(u) = 2*u. Calculate z(b(o)).\nAnswer: -64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*8*33\/176?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1034 - -1037. Solve -r*d - 2 = 3*n - d, d + 12 = 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x + 7. Let i = -15 - -8. Let q be o(i). Which is smaller: 1.5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 14284 = -0*i. Let k be 68\/306 + i\/(-18). Suppose -4*d - k = -j - 2*j, 2*d = 5*j - 643. List the prime factors of j.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 = -4*j + 8*r - 4*r, 12 = j + 4*r. Suppose 2*b - 4*c - j = -0*b, 5*b + 5*c = 25. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 9*p**5 - 6*p**3 - 5*p**2 + 6*p. Let x(q) = 8*q**5 - 7*q**3 - 4*q**2 + 7*q. Let w(t) = -7*a(t) + 6*x(t). What is the third derivative of w(c) wrt c?\nAnswer: -900*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the second derivative of 17\/5*c**6 + 0*c**4 + 0*c**5 + 27\/2*c**2 + 0 - 243*c + 0*c**3. Differentiate z(j) wrt j.\nAnswer: 408*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 97*r**3 - 131*r**2 - 2*r?\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 804907279?\nAnswer: 11, 17, 19, 101, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 600 divided by -200.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 minus 113.3925?\nAnswer: -113.7925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(133) - sqrt(133))*-6)\/(-1*sqrt(7)*1) + -3.\nAnswer: -3 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 762.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4804 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 25611 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**2 + 10*y - 8. Let l be p(9). Is (-43 - 3)\/(-1 - l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.4018 - -0.0018. Put -18, h, -0.02 in decreasing order.\nAnswer: -0.02, h, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10.486 - -0.086. Let r = -10.3999778 - n. Round r to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - l + 5*n + 20 = 0, 2*n - 15 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 43310026?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3421 = 3*s - c, -s + 5*c - 1728 = -611. Let v = s + 2983. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*n + 18 - 141 = 33 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000010003160946 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3942 or 4\/21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 2*f = 12. Suppose -3*b = -4*o + 24, 4*o + f - 30 = 4*b. Suppose 2*n - 20 = 3*d + o*n, -5*n - 25 = 4*d. Solve d = -p - p + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i - 494 = -3553. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = u - 193. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + -1040665?\nAnswer: -1040662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3139237 and 152.\nAnswer: 25113896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of 0*w**2 + 10\/3*w**3 - 7 + w. What is the derivative of g(d) wrt d?\nAnswer: 20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + 310255?\nAnswer: 310250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -3*r**2 - 25*r - 44. Let q be x(-6). What is the nearest to -4\/9 in -3, -4, q, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + -2 + -2 - -66. Suppose -5*p + t = -4*v, -27 = -p - p + v. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.31667001 rounded to four dps?\nAnswer: 0.3167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -230*x - 2663 + 5530 + 8403 = 0 for x.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-298630)\/6*16\/(-110). Suppose -4*l + 28940 = 3*u, 0*u = -l - 3*u + 7226. Let p = l - g. Calculate the common denominator of p and 46\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.042076 - 50.300076. Let s = -0.342 + r. What is s rounded to the nearest integer?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1187070 divided by -5.\nAnswer: -237414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 20085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (9 - 9) + -10 + 4 + 19\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1626 times -1?\nAnswer: -1626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 33*x**2 + 81*x + 396. Let b(c) = -9*c**2 - 23*c - 113. Let w(k) = 18*b(k) + 5*p(k). Factor w(d).\nAnswer: 3*(d - 6)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-12690)\/(-1080) + (10\/(-25))\/((-16)\/(-70)). Let y(i) be the first derivative of 3\/7*i**2 - 2\/21*i**3 - g - 4\/7*i. Solve y(q) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -76.4 - 4690.0087292\nAnswer: -4766.4087292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(45)\/(sqrt(81)*-2 + sqrt(9) + sqrt(9)) + 3 - 6*(sqrt(25)\/sqrt(5) + 4 - 2*sqrt(15)\/sqrt(3))))**2.\nAnswer: -575*sqrt(5)\/2 + 12645\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 46 and 67321?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 - -4. Let t = -0.6 - 2.4. Which is the nearest to -1\/2?  (a) v  (b) t  (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 934 = -2*i - 890, 0 = -3*z - 3. Solve -12*x - i = -8*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 14*j + 1. Calculate r(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than 3\/494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 831906 is divided by 154?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 1368*t + 1169. Is a(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4301, -8566, -12829, -17090, -21349, -25606?\nAnswer: -29861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-28)\/16 + 4)\/((-1)\/372). Let q be 2\/(-13) - m\/117. Solve 3*o + q*o = -40 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -119*w**3 + w**2 + 6. Let i(g) = 179*g**3 - g**2 - 9. Give -5*i(d) - 7*v(d).\nAnswer: -62*d**3 - 2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -1  (b) -0.06  (c) -0.19  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, -48, -124, -222, -336, -460?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uc when two letters picked without replacement from {r: 1, u: 2, c: 2, d: 9}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 PM and 1:45 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 9 and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6*(2 - 172\/12). Let a = p + 107. Suppose -5*m = -62 - a. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(-3))**18\/(n**(-9)*n**(9\/4)))**(-1\/4))**(-30) assuming n is positive.\nAnswer: n**(-2835\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6352 = 39*f - 23*f. What is the highest common factor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**4\/c)**(1\/9)\/(c**1\/(c\/(c*c**(-1\/7)))) assuming c is positive.\nAnswer: c**(-11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -12636 + 20?\nAnswer: -12616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 AM and 9:34 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8611\/4 + 2169. Let s = b + -51\/4. Factor s*k**5 + 7*k**2 + 2*k**3 + 1 - 8*k**4 - 11\/2*k.\nAnswer: (k - 1)**3*(k + 1)*(7*k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2088 - 28\/3*c**3 + 7996*c + 7216\/3*c**2 = 0. Calculate c.\nAnswer: -3, -2\/7, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127 a factor of 13590143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-8) - (-56)\/32. Suppose 0 = -h - i*h + 33. Let o(x) = -x**2 + 11*x + 5. Let l be o(h). Solve -4 - 21 = -l*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 189090923 by 1.\nAnswer: 189090923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -40 + 25 + -59 + 39.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 - 158229578.\nAnswer: -158229596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1220 and 47092?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2578 - 5*w + 3807 - 107 - 347.\nAnswer: -5*w + 5931","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 516 divided by -2.\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-162 + 9)*(-6)\/(-9). Let w = 172 + v. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1243 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23748247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/10 of a litre in millilitres?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -17892.1498 to the nearest 100.\nAnswer: -17900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**2 - d**2 + 2*d**3 - 3 + 3 - d**3 + (2*d + 3*d - 6*d)*(-2*d + 2*d - 2*d**2) - 11*d**3 - 18*d**3 - 23*d**3.\nAnswer: -49*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (9 - 8)\/(18\/(-14650)). Let p = -813 - i. Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -539*f**2 + 259*f - 520*f + 261*f - f + f - 2*f**2 + (2*f + 2*f - 2*f)*(f + 1 - 1) - f**2 - 2*f + 2*f.\nAnswer: -540*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvsvr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14\/9*i**2 - 10\/3*i**3 + 0*i + 0 - 2\/9*i**5 + 2*i**4.\nAnswer: -2*i**2*(i - 7)*(i - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1922657?\nAnswer: 11, 277, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(245) + 5.\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -443024\/95 - -4663. Let t = i - -4\/19. What is the smallest value in -0.3, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -5*g - 8. Let h(s) = -s**3 + 8*s**2 + s - 7. Let l be h(8). Let q(i) be the third derivative of i**4\/24 + i**3\/6 + i**2. Give l*o(u) + 6*q(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.2 or -2\/6429?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 19*c**2 + 22*c - 71. Let o(z) = -9*z**2 - 12*z + 34. What is 6*h(w) + 11*o(w)?\nAnswer: 15*w**2 - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - 57?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13371076 or 0.1?\nAnswer: -13371076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -59.9, 2\/7, 1\/23, -0.2 in descending order.\nAnswer: 2\/7, 1\/23, -0.2, -59.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 32*s + 43. Calculate z(5).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ecjdqqe. Give prob of picking 1 e, 1 d, and 1 q.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8843 is divided by 201.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + -27. Let g = m - -29.5. Which is the smallest value?  (a) g  (b) 2\/17  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1925.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 50*u**2 - 3*u. Let f(n) = -17*n**2 + n. Let l(c) = -17*f(c) - 6*j(c). What is the second derivative of l(v) wrt v?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g - 3*g - 19*g**3 - 10*g**3.\nAnswer: -29*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -3\/7, -22\/7, -318, 54 in decreasing order.\nAnswer: 54, 8, -3\/7, -22\/7, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -12*k + 9*k + 5*k. Let y(g) = -g. Let d(j) = 4*s(j) + 7*y(j). What is d(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-195)\/((-780)\/(-20))*(-8)\/(-5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -0*b - 36. Calculate the highest common divisor of 54 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 3*s + 11 = 0. Find the common denominator of s and 9\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 1 = -3*o + 4*u, -o + 4 = 3*u. Let f = 2 + -1. Which is the nearest to f?  (a) -1\/4  (b) 20  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16333032 and 102486?\nAnswer: 5394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 8*p**2 + 6*p. Let i be n(-4). Let t = -58 + i. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 4*t + 4. Suppose 0 = 3*p + 5*b - b - 41, 0 = 2*p + 3*b - 28. Suppose p = -3*v + 4*m, 5*v = -m - 35 + 9. Calculate j(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3729960 divided by 62166?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the second derivative of -7\/10*u**5 + 49\/60*u**6 - 15\/8*u**4 - u**2 + 7\/3*u**3 + 9*u + 0. Suppose f(v) = 0. Calculate v.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25019 + 49780 = 22*y - 67991. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -468*p - 2886 = -390*p for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 47283?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (28\/(-112))\/(1*1\/(-20)). Let l(a) be the third derivative of -1\/210*a**6 + 0*a**3 + 0 + 0*a**4 + 0*a**f + 1\/105*a**7 + 5*a**2 + 0*a. Factor l(j).\nAnswer: 2*j**3*(7*j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-2\/35)*r)\/(r\/r**(2\/73))*r\/(r**19\/r)*r*(r\/r**43)\/r*r)**(-4\/9) assuming r is positive.\nAnswer: r**(65896\/2555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.568 - -270.568. Let o = x + -267. Put -0.5, 0.1, o in decreasing order.\nAnswer: o, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1663853 is divided by 184872?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10369199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = i + 10, -5 - 45 = 5*i - 16*q for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-4))**(-16\/5) assuming t is positive.\nAnswer: t**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (64\/12 - 4) + (-4)\/3. Suppose -7*g + 13*g - 1548 = k. Calculate the greatest common factor of 215 and g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, o: 2, q: 3, d: 9}. What is prob of picking 1 o and 2 d?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 871*d**2 + 310*d + 10. Let m(w) = 438*w**2 + 155*w + 6. Let v(j) = -3*b(j) + 5*m(j). What is the second derivative of v(i) wrt i?\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.92 + -0.08. Put -5, n, -4 in decreasing order.\nAnswer: n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 - 17*x**2 - 63*x + 27. What is b(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 22291409 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -3.9008 times 10\nAnswer: -39.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 465 + -460. Let d(t) = 5*t + n*t + 3*t + 0*t. Let r(k) = -2*k**2. Calculate r(d(p)).\nAnswer: -338*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -4 + -1 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 1 + 4 + 1*4*(1 + sqrt(605) + sqrt(605))**2.\nAnswer: 176*sqrt(5) + 9694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 129755316?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*(-1)\/15)\/(9\/(-18)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23509?\nAnswer: 23509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 - -8. Suppose -5*q = -2*q - 9. Suppose q*j = j. Sort n, -2, j in descending order.\nAnswer: j, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8 + (0\/3 + -1 - (-12 - -14)). Sort y, 0.3, -0.2.\nAnswer: -0.2, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38f61 (base 16) to base 12\nAnswer: b3029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3129 divided by 3?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 418257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10\/3457 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) -3  (c) -4\/3  (d) 1\/56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 65939, 65937, 65935, 65933?\n\"Answer: -2*q + 65941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39754?\nAnswer: 2, 11, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 13869903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes before 5:51 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -858*l - 5157. What is g(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 38027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -227216 times -1.06?\nAnswer: 240848.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(143)*1 - ((sqrt(143) - (sqrt(143) + sqrt(143) + -2*sqrt(143))) + sqrt(143))*-2)\/(sqrt(891) - -5*sqrt(891)*2).\nAnswer: 7*sqrt(13)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 + 3*v**2 - 3*v + 3. Let k be c(2). Let o = k + -14. Solve -o*p = -1 + 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 104821156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2 - 6*p + 5. Suppose -48 = -4*q + g, 3*g = -2*q + 6*g + 34. Let w(r) = -r + r**2 - 11 + 4*r**2 + q. Let v be w(-1). Give i(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (42 + 11 + -27 - -15) + -1?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 774432*p - 9293197. What is v(12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 754125252 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -262 - 15335310?\nAnswer: -15335602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b**4 + 564062*b**3\/5 - 7951948182*b**2\/5 - 62060420846*b\/5 + 12730157584\/5 = 0. Calculate b.\nAnswer: -8, 1\/5, 28207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 4 + 2)*(64*f**3 - 23*f**3 - 26*f**3) + 3*f**3 - 4*f**3 + 0*f**3 - f + 6*f**3 + f as x + q*f + r*f**2 + b*f**3 and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 329256 and 8748?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let w = 311\/1330 + -9\/70. Let g(x) = -4*x + 36. Let k be g(8). Let z be 65\/(-10) - 15\/(k + -7). Sort z, w, 0.1 in descending order.\nAnswer: w, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 49323.13s?\nAnswer: 49323130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -3*h - 19, 3*l + l = -4*h - 4. Suppose 3 + 1 = l*i. Which is smaller: i or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/132 and 24\/(-56)*-2*-7 - (-48506)\/8052.\nAnswer: 8052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 987, 5306, 12479, 22494, 35339, 51002, 69471?\nAnswer: 90734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 3*h + 4. Let d = 21984 - 21994. Sort -4, -3\/4, d, h in increasing order.\nAnswer: d, -4, h, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96 - 69 = -4*c - g, 2*g = -3*c - 2*g - 30 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Convert 1222.161 centimeters to kilometers.\nAnswer: 0.01222161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 149.1 - 150.1. What is the closest to h in -1, -9, -1.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(4\/11))\/((-4)\/(-24)). What is the greatest common divisor of 308 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 119236996 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 q when three letters picked without replacement from {d: 2, q: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-33)\/6)\/((-223)\/(-446)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k + k + 6*k)*(0*k**2 + 3*k**2 - 4*k**2) - 3*k**3 + 5*k**3 - 4*k**3 + (3*k**2 - 3*k**2 - 2*k**2)*(3*k - 3*k + k) - 33*k**3 + 64*k**3 + 30*k**3.\nAnswer: 53*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, -21, -23, -25, -27?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 125\/336 and -41\/4992.\nAnswer: 34944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-77085)\/(-16) + (-22)\/(-55)*-5. Suppose 0 = 4*t - 9548 - 9700. Let o = m - t. Calculate the common denominator of o and 113\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 10, -5*a = -3*a + 2*z - 500. Suppose 0 = -l + 5*g + 99, a = 3*l + 2*g - 100. Suppose -2*u - 34 = p - l, 3*u - 123 = -3*p. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36214346 is divided by 1646105?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 37446 and 187230.\nAnswer: 187230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/3*2\/(-5)*-3. Is r not equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -692, -1, 3, -2, 4, 173 in decreasing order.\nAnswer: 173, 4, 3, -1, -2, -692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28160*k - 28159*k + 112635*k - 28158*k - 28158*k - 15*k**3.\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 76, -523, -1546, -2993, -4864?\n\"Answer: -212*l**2 + 37*l + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 PM and 9:12 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 5)*((0 - 2 + 1)*(-7*r + 7*r - 4*r**2) + 1 - 1 + r**2 + 9*r + 11*r**2 - 13*r - 30*r**2).\nAnswer: 14*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7986454.83945 + 7991674.010449504. Let n = t + -5219.223. Let i = -0.052 - n. What is i rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -98126 and -98126 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 40 - (6 - (2 - -11) - -15 - 10).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.7383 + 1.2617. What is the smallest value in -172, t, -3, -0.05?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 390397 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 c(a) = 347*a**2 + 2022*a + 131. Determine c(-6).\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of 3*g**5\/20 - 7*g**4\/12 + g**2\/2 + g + 7. Let y(k) = 3*k**3 - 6*k**2 + 1. Calculate -6*h(w) + 7*y(w).\nAnswer: 3*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 531995, 1063991, 1595987, 2127983?\n\"Answer: 531996*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/15 + 1800004\/10. Suppose 20*v - 19*v - 7 = 0. Suppose 0 = -v*a + 3*a + o. What is a rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/8*(2\/(-15))\/((-177)\/9440)\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 46746, 93491, 140236, 186981?\n\"Answer: 46745*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -114 + 195. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 2\/21, 9\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 126, 139, 164, 207, 274, 371, 504?\n\"Answer: t**3 + 6*t + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 139 - 143 = o, 2*o + 8 = 3*t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 3*u**5\/4 + 471*u**4\/4 - 9363*u**3\/2 + 36585*u**2 + 92826*u = 0.\nAnswer: -191, -2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.9784288 to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -29, 0.4, -7, 4, 1, 12, 213?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -117*i + 120*i = 144. Let h(r) = -25*r - 59. Let m be h(-5). What is the greatest common factor of i and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1081983 divided by -1.\nAnswer: 1081983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2. Let i = 3 + 0. Let x(d) = -i*d**2 + 4*d**2 + 2*d**2. What is o(x(a))?\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence imo when three letters picked without replacement from ooxmiomxo?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1197, 2393, 3589?\n\"Answer: 1196*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2843\/8493 + -4\/2831. What is t in -1\/2*t**3 + 1\/2*t + 1\/6*t**4 + 1\/6*t**2 - s = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 15 - 45 = 2*l, -4*l = -4*c + 36. Solve 0 = -c*t - 8 + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1928 in 2\/7, -0.2, -2\/17, 1, 0.38?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0.3, -38, -5 in decreasing order.\nAnswer: 0.3, -2, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31, 11, 75, 155, 245, 339, 431, 515?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.422 to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 320, 296, 244, 164, 56, -80, -244?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2 and 1913.376?\nAnswer: 1915.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r**2 - 48*r + 20*r - 4*r**2 + 28*r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 511.1013 months?\nAnswer: 0.42591775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 + 4*t**2 - 1. Let h be b(5). Which is greater: -16 or h?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3168 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 158, -36, -230, -424, -618, -812?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 4  (b) -9  (c) -2  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -29*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + -4. Suppose 4*d + n - 643 = 0, d - 166 = -b*d + 5*n. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-4 + b**2 + 4)*(-4*b + 5*b + b) - 3*b**2 - b**3 + 3*b**2 + 3 + b**3 - 3)*(6 - 5 + 3)*(3 + 3 - 1) to the form s*b**2 + p + d*b**3 + k*b and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-51)\/(-10)*(-980)\/(-147)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1102 - 2322?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes before 3:46 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 19 and 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u + 1. Let h(t) = -t**2 + t + 1. Let n(s) = -4*s**3 + 5*s**2 + s + 1. Let b(r) = -5*h(r) - n(r). Let i = -322 - -316. What is i*q(p) - b(p)?\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4947 - -4952. Let s(v) = v + 5. Give s(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the third derivative of -n**6\/600 - 37*n**5\/150 + 13*n**4\/5 - 6*n**2 - 378*n + 1. Factor w(r).\nAnswer: -r*(r - 4)*(r + 78)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*y + 9 + 11 + 1 + 3 + 28*y.\nAnswer: 46*y + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**2 + 8*d + 13. Let h be n(9). Suppose -2*p - 34 = 2*o, o - 2*o - 12 = -h*p. Let l = o + 22. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.17 - 64560951.\nAnswer: -64560951.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 3*x - 9 = 0, 0 = 4*m + 4*x + 812. Let f be (15\/(-10))\/(3\/m). Suppose f = 4*a + 20. Calculate the highest common factor of 30 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/42)\/1*7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, g: 1, q: 1, b: 1, n: 1, h: 1}. What is prob of picking 1 q and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 267*h - 263*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15 and 81218055.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 5 = 5*c, 6*c - q = 10*c + 6. Sort 3, -3, -105, c in descending order.\nAnswer: 3, c, -3, -105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 16*q - 10. Let h(d) = 3*d - 2. Determine -33*h(s) + 6*m(s).\nAnswer: -3*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 22 = -2*l, 102*l + 8 = -2*i + 100*l. Suppose 0 = 4*z - 23 + 3. Let a = 0 - -1. Solve i*k = -z + a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*t + 159 = -7*r + 24*t - 43, 3*r - 4*t = -58 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 148*p**3 + 2*p - 1. Calculate the remainder when y(1) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 6, l: 4, d: 7}. Give prob of sequence xxxl.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -314, 2, 3 in increasing order.\nAnswer: -314, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -34605*b**2 + 31300*b + 3305 = 0?\nAnswer: -661\/6921, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v. Let t be (0 + 4\/(-14))\/(63\/(-441)). Let o(w) = -4*w - 1 + 7*w + t - 6*w. Give -8*a(j) - 3*o(j).\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s**(-2\/25)*s)*s*s**(-1)*s\/(s\/(s**(3\/16)\/s))*(s**(-8\/11)*s*s)\/s assuming s is positive.\nAnswer: s**(-2023\/4400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.42, -1727, -2\/3?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 26622 + -25942. Calculate the smallest common multiple of p and 442.\nAnswer: 8840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -2*z**4 + z**2 + 3. Let k(j) = -4*j**5 - 28*j**4 + 12*j**3 + 184*j**2 + 216*j + 12. Let t(f) = -k(f) + 4*r(f). Factor t(i).\nAnswer: 4*i*(i - 3)*(i + 2)*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -84*a**3*t**4 - a**3*t**2 - 2*a**3*t - 224*a*t + 2*a + 656575*t**4 - 3365*t**2 wrt t.\nAnswer: -2016*a**3*t + 15757800*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(76) - sqrt(76)*-2*5))\/(sqrt(16)\/sqrt(4)*6*-3))**2*-4.\nAnswer: -9196\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 + 10\/7*o**2 - 2\/7*o = 0. What is o?\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -144, -153, -162, -171, -180?\n\"Answer: -9*k - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2002180215?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 96263041037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -113892263, 4, 2.\nAnswer: -113892263, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*v + 299 = 173 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8692.\nAnswer: 2, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 50712 by -17.\nAnswer: -50712\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**5\/17 - 6*u**4 - 104*u**3\/17.\nAnswer: 2*u**3*(u - 52)*(u + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 1770*p - 1210*p + 1625*p + 395*p + 3673*p in the form q*p + a and give q.\nAnswer: 6253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**2 + a - 2. Let v(c) = -11*c**2 - 15*c - 11. Let i(z) = 6*u(z) - v(z). Let p be i(-6). What is the greatest common factor of 106 and p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1103762 - 3523733. Let l = -386411 - 5886094. Let d = g + l. What is d rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -6188540.\nAnswer: 1\/3094270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 15339*n + 462 = -15356*n, -n - 94 = 17*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3151531 and 7633?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -112 or 3\/136?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*h - 3*u, u = 5*h + 2 - 7. Let s be -3 + (1 - 2) - h. Let j(v) = -4*v + 136 + 170 - 315. Let x(m) = 2*m + 4. Give s*x(d) - 2*j(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 641, 791, 1107, 1643, 2453, 3591?\n\"Answer: 9*q**3 + 29*q**2 + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(14\/5)\/(y**(2\/7)*y) assuming y is positive.\nAnswer: y**(53\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-20))\/((-54)\/60)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 22*x + 133*x + 0 + 1 to the form w*x + o and give w.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1711 + 1637. Suppose 2*d + 3*d = -u - 400, 4*d + 291 = 5*u. Let x = c - d. Let v(l) = -l**3 + 5*l**2 + 2*l. Give v(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/48 and -133\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 104*d**2 + 14*d - 11*d**2 - 33*d + 108*d**2 wrt d.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -1 + (5 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - 8. Let t = -0.04 + 6.04. Let g = p + t. Which is smaller: g or 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**3\/2 - 8555*c**2\/2 - 1644160*c + 162570240.\nAnswer: -5*(c - 81)*(c + 896)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 20 = 7*w - 41, 16*w - 48 = -5*x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -255, -405, -797, -1551, -2787?\nAnswer: -4625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1646 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of b**2\/2 - 1. Let h(w) = 100*w**2 - 258*w + 4. Let v(k) = k**2 - 86*k + 2. Let l(z) = -h(z) + 3*v(z). What is l(t(y))?\nAnswer: -97*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 176 + -7391\/42. Let u(v) be the second derivative of -v + 0 + 2\/21*v**3 - 1\/35*v**5 + 0*v**2 + z*v**4 - 1\/105*v**6. Factor u(q).\nAnswer: -2*q*(q - 1)*(q + 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*r + 65 + 131 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + 1 + 7 + -14 + -4 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in -14\/39, 4, 166\/3, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1221211200 (base 3) to base 15.\nAnswer: -b630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 30059846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 2\/19, -12\/12275, -9 in increasing order.\nAnswer: -9, -0.1, -12\/12275, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-11)*(-135)\/270\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -0*d. Suppose o - 6*o + 15 = d. Factor 0*r**2 + 0*r**4 - 1\/2*r + r**o - 1\/2*r**5 + 0.\nAnswer: -r*(r - 1)**2*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -64, -227, -490, -853, -1316, -1879, -2542?\nAnswer: -3305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 + 8\/(-2) - -28. Let q be 12\/c - 25\/(-7). Suppose j - 45 = -4*j + 5*d, -2*d = j + 6. Solve -j*i + 5*u = 3, 0 = 4*i - 4*u + q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-8))\/(4\/(128\/76))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -109732800 to the nearest 100000.\nAnswer: -109700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*h*m**2*p - 16*h*m**2 - 2*h*m*p + h*p + 25*m**2*p + 14*m**2 - 812 wrt m?\nAnswer: -4*h*p - 32*h + 50*p + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-91 - 3) + (15 - -3 - (0 + 20 - -2)).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (34*x**3 + 20*x**3 + 67*x**3)*(-243 - 16 + 0 - 95).\nAnswer: -42834*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 536293?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*p + 18 - 26 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 + 9*k**2 - 9*k + 4. Let h be a(12). Let j = 915 + h. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9\/(-24) - ((-62355)\/8 - -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 802070*t**2 - t + 10417954 wrt t?\nAnswer: 1604140*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2330102 (base 4) to base 8.\nAnswer: -27422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 166425 and 331265.\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (13 - 0)\/(4 - 3). Let o(r) = 5*r - 31*r + 12*r + s*r. Let a(f) = -21*f**2. Calculate a(o(y)).\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 741185534.\nAnswer: 2, 23, 16112729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes before 7:03 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 + 2*h**2 + h. Let s be a(-1). Let k = s - -7. Is k at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xeo when three letters picked without replacement from {o: 3, x: 2, e: 1, a: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 293\/848 + -15\/53. Let x = -216 + 211. Put x, b, -1 in decreasing order.\nAnswer: b, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*g**3*k + 15*g**3*v - 15*g**3 + 3187*g**2*k + 103385*g*k*v + 2*g wrt v?\nAnswer: 15*g**3 + 103385*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5338*w**3 - 5479*w**3 + 10583*w**3.\nAnswer: -234*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 65.85837kg?\nAnswer: 0.06585837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 236518905?\nAnswer: 3, 5, 7, 59, 73, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -162104*d + 1621033. Determine q(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 h, and 2 g when four letters picked without replacement from {r: 1, y: 1, n: 2, h: 2, g: 2, t: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/8))**(-1\/33) assuming h is positive.\nAnswer: h**(1\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 99041.4 centimeters to nanometers.\nAnswer: 990414000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 293 divide 425509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13 - -5. Let o = y - -3. Which is bigger: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/620*6*-1*-12?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*u + 48 + 606. Suppose -2*o - 3*q = -1179, -4*q = 4*o - u - 2247. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24300, 97191, 218674, 388749, 607416, 874675?\nAnswer: 1190526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -7 + (-14 - -28).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-47 - 12978\/(-294))*-1\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**2 + 32*k - 206. Let o be i(11). Let h be 2 + (-1)\/2*2. Let w be -2 + 2 + -3 + h. Put 0, w, o in decreasing order.\nAnswer: o, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1936 is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 - -5. Let d(f) = -f**3 - 4*f**2 + 5*f + 3. Let t be d(g). Let s be (4\/6)\/(2\/6). Solve -s*l = t*v - 13, -l + 17 + 2 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1727 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 (-9*(-3)\/(-6))\/(-3 - 0)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 41681934 and 363360?\nAnswer: 4542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 PM and 8:57 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 89057 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 7169216821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10 - (1 - 1)*1. Let p be (-2)\/4 - k\/(-4). Suppose 3*c = 2*v - 5*v + 21, -4*v - c + 19 = 0. Solve o = -v*t + 2, 2*t - t - o = -p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - v = 2*h - 105, 4*h + 105 = -v. Let i = -56 - v. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the third derivative of -1\/3*m**3 + 0*m - 1\/12*m**4 + 0 - 8*m**2. Suppose -2 + 5 = -b. Give a(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4792849901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 - 2*b**2 + 5. Let y be w(0). Solve 0 = -h + 2*h - y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 + m - 1. Let v(f) = 2*f**3 + 3*f + 9. Let d(c) = 3*t(c) - v(c). Find the first derivative of d(i) wrt i.\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -28022 + 28032. Let c = -2 + 3. Suppose -c = -o + 3*a, o - a - 4 = 1. Calculate the least common multiple of o and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.063 - 0.937. What is the closest to 4 in 2, d, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -2*g**2 + 2*g + 239. Let y be b(-19). Let n = y - -541. Calculate the remainder when 253 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t + 4. Calculate the least common multiple of z(-6) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-3))\/((1560\/832)\/(9\/(-4))).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = 2*k - 5, -14*k = -17*k + 4*n - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.017005491 + -15.983001709. Let o = h + 16. Round o to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*j**3 - 2*j**3 - j**3)*(-2 - 4 + 3) - j**3 - 5*j + 5*j)*(2*j - 2*j + j)*(3*j + j - 3*j + (-j - 5 + 5)*(-4 + 3 + 5)).\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*d**2 - 10 + 10 + 2*d + 0 to the form h*d + f*d**2 + z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -3*o**3\/2 + 18393*o**2\/2 + 36795*o\/2 + 18399\/2 = 0.\nAnswer: -1, 6133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 4729308623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 + -2 - (-24 + (5 - -15)) - -8?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**3 + 14069*p**2 + 253566*p = 0. Calculate p.\nAnswer: -18, 0, 14087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/80 and 89\/6.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/5  (b) 1.746  (c) 92  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7033 + -42585197418.\nAnswer: -42585204451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-5 + 4*sqrt(112)) - (sqrt(112)*2 + 5 - (sqrt(112) + sqrt(112) + (6*(sqrt(112)*1 + sqrt(112)) - sqrt(112)))))**2.\nAnswer: -3680*sqrt(7) + 59648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 341177321 is divided by 170588656.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 18540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2\/1859 + -288\/1859. What is the nearest to 0 in 4, a, 2\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 8*r + 4. Let j be t(12). Suppose 2*m = -3*m + j. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12754498 and 9.\nAnswer: 114790482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 164295 by 35.\nAnswer: 32859\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 452*l - 901. Calculate s(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79721?\nAnswer: 29, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 195\/18 - 2\/(-12). Suppose 8*c - 282 = k*c. Is -4*(2 - 1) - c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*p**3 - 18 - 15 - 299*p + 39.\nAnswer: -2*p**3 - 299*p + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - 516 + 1860. Suppose 5*c + 6*z = 3*z + a, 2*z = 4. Suppose b = -b + c. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -49081 - 0.3?\nAnswer: -49081.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**2 - 9483170*z + 18966360.\nAnswer: -5*(z - 2)*(z + 1896636)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 60 = 4*k - 2*v, -5*v - 48 = -4*k. Suppose -3*t - k = 31. Let l = t - -11. Sort -2, l, 4.\nAnswer: l, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/(-14) - (-1)\/2. Let r = -35401\/672 + 3\/224. Let w = -52 - r. What is the closest to g in 4, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (184\/759)\/((-50)\/(-55))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*q - 791 = -615. Let u be 66*(3\/(-4) - -1). Which is smaller: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 253339175 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10239 and 793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.64 minus 0.21?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -0.5, -12\/11.\nAnswer: -12\/11, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -580*w + 3. Let z(i) = -193*i + 1. Determine 6*c(q) - 17*z(q).\nAnswer: -199*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(19) - (sqrt(304))**2) - (sqrt(475)*-1)**2) + -4*((-1*sqrt(133))\/sqrt(7) + -5).\nAnswer: -1975 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 15) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/(-1) + 13\/14*7. Sort 3, -3, o, -1 in decreasing order.\nAnswer: o, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -2*d - 6. Calculate the highest common divisor of d and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/168 and 79\/224?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 19?  (a) -1  (b) 2\/3  (c) 1\/7  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and -3\/13099475 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - (-4 + 4\/(-4)). Calculate the highest common divisor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + 3599 + 1441. Let f = -544 - i. Let s = -303 + f. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 divided by 29?\nAnswer: -14\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(45) + 0))**2 - (sqrt(40)\/sqrt(4)*2)\/sqrt(2).\nAnswer: -2*sqrt(5) + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-4))\/(3*(-3)\/(-18))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-26) + (1 - 0)*(-4416)\/(-897). Suppose 0 = -4*l + 6*l - 340. Calculate the greatest common factor of n and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 118*k**3 - 7 - 414*k**3 - 5*k + 0*k. Let c(w) = -2*w**2 + 4*w - 3. Let m be c(2). Let u be v(m). Round u to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -2*v + 9. Let m be l(-5). Let q = m - 15. Suppose i + 3*t - 112 = -q*i, i - t - 16 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f**2 + 5*f - 2. Let j be p(4). What is the least common multiple of 15\/(-35) + (-258)\/j and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(475) - sqrt(475)*-1 - sqrt(475)).\nAnswer: -25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a second in milliseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -19346, -39966, -60586, -81206, -101826, -122446?\n\"Answer: -20620*s + 1274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - x - 11 = 0, -5*x - 2 = 4*g + 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -3*k - 24, u + 7*k = 2*k - 22. Suppose 3*y - 8 = 5*y. Let a be y\/(-2) + (-4 - -7). Solve -a*x = -z - 21, -u*z = -5*x + 26 - 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7224637 less than or equal to -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = y + 74764 - 74758 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 36 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 + 11*o**2 + 13*o - 16. Let b be r(12). Let a(i) = -i**3 - 3*i**2 + 7*i + 5. Give a(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -235642.\nAnswer: 1\/117821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {i: 9, e: 4, r: 1}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53922025.\nAnswer: 5, 233, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s**4 - 2*s**2 + 2*s**2 + (-2*s**3 + s**2 - s**2)*(s - 4*s + s) + (-9 + 9 - 4*s**4)*(-7 - 1 + 1).\nAnswer: 34*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133*s - 63*s - 910 = 0 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of -a**4\/12 - 7*a**3\/6 - 2*a**2 - 3*a. What is the remainder when 22 is divided by n(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 263851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 2) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01778 rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 13, 176, 627, 1510, 2969, 5148, 8191, 12242?\n\"Answer: 24*j**3 - 5*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -4*f + 2*m - 2, -2*m + 2 = 0. Is f\/((-3)\/(-36)*-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8 + (-4 + 2 - 1). Let j(i) = 71*i + 7. Let l be j(c). Suppose -3963 = -5*n + l. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 12 = 2*p, 0*b + 15 = b - 4*p. Let s(x) = -x - 7. Let c be s(-11). Suppose 0*u + 16 = c*u. Which is smaller: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 916485 and 916486 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -30939 divided by 3?\nAnswer: -10313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 56791371257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**2 + 7*s - 6. Let f be p(5). Find the third derivative of -j**2 - j**2 - 4*j**f - j**2 wrt j.\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = 3*f - 13, -7*f + 5*k = -2*f - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 601605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (23\/(1127\/(-21)))\/(2\/14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 56*r**3 - 1902*r**2\/17 - 2860*r\/17 - 6\/17 = 0.\nAnswer: -1, -1\/476, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.30430209 rounded to three dps?\nAnswer: 0.304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve n**2\/3 + 404830*n\/3 = 0 for n.\nAnswer: -404830, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -344215, -687805, -1031395, -1374985?\n\"Answer: -343590*p - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -2 - (-5 + (1 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o - 21. Determine s(-10).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sooooobboobhhhs. Give prob of picking 2 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3810 - -4202. What is the remainder when u is divided by 101?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -49864, -99676, -149484, -199288, -249088, -298884?\nAnswer: -348676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22 - 14. Let l = 1.03 - -0.7. Let c = l + -1.33. Put w, 5, -2\/9, c in ascending order.\nAnswer: -2\/9, c, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {j: 2, n: 1, u: 4, p: 7}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + -5. Let a be (-1)\/(-1 - v) - 0. What is the units digit of (-2)\/a - (-3 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 3 f when four letters picked without replacement from fwfffffffwffwwfw.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 z, and 1 v when three letters picked without replacement from oooezozzeezzovzozoze.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(325)*-2 + -2.\nAnswer: -10*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*b**4 - 983159*b**3 + 2754*b**2 + 64.\nAnswer: -72*b - 5898954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**2 - r. Let l be (-11)\/(44\/(-24)) + -4. Let o(q) = 2*q**2 + 4*q. What is l*o(n) + 6*f(n)?\nAnswer: -2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 112739.9834 to the nearest one thousand.\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -732 + 5130\/7. Factor a*l**2 + 0 - 4\/7*l - 2\/7*l**3.\nAnswer: -2*l*(l - 2)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 253049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*c + 22 = 72*c - 28*c. Let b(a) = 2*a + 3. Let r be b(-2). Let h be ((r - 2) + -1)\/(-1). What is the highest common divisor of c and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*m - 57 = -57. Solve m = 10*j + 15 - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 489, 970, 1451?\n\"Answer: 481*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 4*n + 3*k - 4*k, 0 = 4*n + 4*k. Let d(h) = -2*h**2 - 3*h. Let m(l) = -l**3 - 5*l**2 - 7*l + 1. Determine n*m(t) - 5*d(t).\nAnswer: -2*t**3 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17617355 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 1100*p - 3 + 1136*p - 2278*p + 254*p**2.\nAnswer: 254*p**2 - 42*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3474919?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -125 + 265. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the third derivative of -q**4\/12 - 7*q**3\/2 - 3371*q**2. Let h(s) = s**2 + 25*s. Determine h(g(u)).\nAnswer: 4*u**2 + 34*u - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 9 + -7 + -6 - -9 - (-3 - -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**4 + 9102*t**3 + 9208188*t**2 + 3109292082*t + 3100092993.\nAnswer: 3*(t + 1)*(t + 1011)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (2106\/72)\/39*-3*4\/39?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/(-3*1\/3). Suppose -5*o + 23 - 13 = k. Find the common denominator of -59\/22 and 348\/(-76)*o\/(-20).\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 - 6 + (-1 - 2 + 1)*(-3 + 1 + 0))*(-17*x + 25*x - 16*x)*(4 - 4 + 3*x + (-x + 4*x - 2*x)*(1 - 1 - 1))*(8 - 4 - 3).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3359098.4 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, b: 2}. What is prob of picking 1 o and 2 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-130 - -131) + -1*(3 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*m + 80. Suppose -12*v + 13*v - m = 0. Suppose 110 = 2*l - 0*l. Calculate the highest common divisor of l and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 46*n - 854. Give w(18).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.46 + 0.24. Let p = 0.219924 + u. What is p rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((150\/(-135))\/(-5))\/(((-35)\/(-14))\/(15\/(-10)))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4284 * 0.2.\nAnswer: -856.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.1 - -204.9. Let r = z - 205.807. What is r rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -503*a + 10579 - 18521 = 157*a + 20438 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20 - -111122012020122102?\nAnswer: 111122012020122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*o + 55 + 47 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - -1)\/(3\/4). Suppose -f*i + 5*m + 32 = 5, -4*m - 24 = -4*i. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/(-64)*408*(-12)\/(-36)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*p + 3*p - 5*p - 5*p + 4*p - 65 to f*p + u and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3\/8)*i**1)\/(i**(-5)\/(i*(i*i\/(i**(1\/2)*i*i))\/i*i)) assuming i is positive.\nAnswer: i**(49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3368*t + 18816 = -734*t + 461*t + 226353 for t.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**3 + 3*c**2 - c - 1. Let m be i(-2). Suppose 0 = -4*v + 6*v - m*z - 47, 5*z - 205 = -5*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7846*t - 162741 - 433555 = 0 for t.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1b86 (base 13) to base 3.\nAnswer: -12201022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*z**4 - 9*z**4 - 4*z**4 + 7 + 2*z + 2*z**2 + 11*z**4 to h*z**2 + j + a*z**4 + t*z**3 + r*z and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1218, -1753, -2314, -2907, -3538?\nAnswer: -4213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -61955, -61950, -61943, -61934, -61923, -61910, -61895?\nAnswer: -61878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2*f - 1. Let n(d) = -35 + 21 + 3*d + 2*d + 13. Give 5*k(z) - 3*n(z).\nAnswer: -5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (1986\/1324)\/(((-66)\/8)\/1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w + 5. Let q be k(0). Suppose 6*z = z + 20. Let x(g) = q*g + g - z*g. Give x(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 - 282493912707096\nAnswer: -282493912707096.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 129796577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 26168 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7534 or -0.3?\nAnswer: -7534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1057 - 986. Calculate the highest common factor of y and 3053.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -786, -3337, -7560, -13431, -20926?\n\"Answer: 4*i**3 - 860*i**2 + i + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4\/(-20) + (-44)\/5)*40. Find the common denominator of -81\/16 and 2\/168*(-4060)\/u.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x, 1 t, and 1 b when four letters picked without replacement from xxttttxttxttttbttx?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -5*x**3 - x + 2. Let o(c) = -15*c**3 - 3*c + 5. Give 4*o(i) - 11*z(i).\nAnswer: -5*i**3 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m + 1. Let f be q(-4). Suppose 2*d = -1 + f. Suppose d*a + 116 = 4*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -15, 0 in decreasing order.\nAnswer: 5, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 4 - 1479688*p**2 - 4*p + 9*p + 1479689*p**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, u: 2, c: 4, x: 5}. What is prob of sequence vxuv?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 129?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 129 + -9 - (1 + 2\/1). What is the greatest common divisor of f and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 17\/(-5) + 8\/20. Let u(i) = i**3 + 4*i**2 + 3*i + 4. Let a be u(o). Let v(j) = a*j + 2*j - 4*j. Let l(h) = -4*h**2. Determine v(l(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 71*k + 117 - 46 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**9)**(-1\/22)*a*a\/(a**(-3\/14)*a)*a*a*(a\/(a*a**(-24)*a)*a)\/a*a*a assuming a is positive.\nAnswer: a**(4401\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35, 24200, -180.\nAnswer: -180, -35, 24200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + 19 - (6 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d + 1. Let z(i) = i**2 + 17*i + 5. Let x(u) = 5*l(u) - z(u). Let o be x(-12). Solve 0 = -2*g - 4*q + 4 - o, -4*g = -4*q + 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 95650 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 41 = -2*u + v, u + 3*v = 38. Let g = 18 - u. Let b(p) = -4*p**3 + 4*p**3 + 5*p**2 + p**3 - 5. Determine b(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*g = -34*g + 60. Calculate the highest common factor of 105 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19 - -13. Let j(d) = -2*d + 12. Let t be j(b). Suppose 0 = -2*m + 5*f + t, 4*m = f + 2*f + 76. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -6, -5, 14, 0.5, -0.5, -0.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 17*q**2 - 28*q + 52. Let w be k(2). What is the greatest common divisor of w and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 + 5*s**2 + 5. Let y(k) = k**3 - k**2 - 6*k - 5. Let o be y(-2). Calculate q(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -3*a**3 + 7077*a**2 - 1050804*a + 3088800 = 0?\nAnswer: 3, 156, 2200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 226362 is divided by 273.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -64 - -18?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.5, 3\/5, -0.8?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**4 - 194*h**3 + 2376*h**2 - 4174*h + 1991.\nAnswer: (h - 181)*(h - 11)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1305, -1027, -507, 255, 1259, 2505, 3993?\nAnswer: 5723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 144  (c) -1\/2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5920 is divided by 2836?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes after 10:08 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*z**2 + 484*z - 189651.\nAnswer: 10*z + 484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 23.0793kg?\nAnswer: 23079300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 10:51 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -8 - (4 + -5) - -28. Let m = 683 - f. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 173444609 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5795029181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*b**2*y**3 - b**2*y - 70*b**2 + 195553*b*y**3 wrt b.\nAnswer: 6*y**3 - 2*y - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/17013424 and 101\/29773492.\nAnswer: 119093968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 298*d + 5191. What is x(-14)?\nAnswer: 1019","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (45968\/(-338))\/(2\/1).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/7 in 0.5, 0.2, 6\/11, 13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 147800 is divided by 9095.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1311*c**3 - 616*c - 608*c + 1226*c)*((2 + 1 - 4)*(-c**2 + c**2 - c**2) - 2*c**2 + 3 - 3 + 2*c**2 - 2*c**2 - c**2) - 2*c + 2*c + c**5.\nAnswer: -2621*c**5 - 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1110071 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: Calculate the highest common factor of 489 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 320 - 616. Let m = -658 - f. Let o = -159 - m. What are the prime factors of o?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 + u + 1. Let s(y) = 2*y**3 + 9*y**2 - 45*y - 36. Let b(j) = l(j) - s(j). Let i be b(-15). What is the greatest common divisor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/2)\/(7\/70)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -773811, -773829, -773847?\n\"Answer: -18*z - 773793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 5*k + 10 = 0, k + 0 = -4*p + 2. Suppose -3*z = q - 158, -4*z + 232 = -p*z - 4*q. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2990 and 2275?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(396)*2 + -1)*3)**2 - ((-1*sqrt(396))**2 + -4 + (sqrt(396)*2 + sqrt(396))**2*-3).\nAnswer: -46760 + 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a + 8. Let k be r(6). Let c(g) = g**k - g + g. Let m(d) = 90 - 90 + d. Give m(c(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q - 147*j = -143*j - 36, -5*q + 2*q + j = -21 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f**5\/7 - 9*f**4\/7 - 3*f**3 + 3*f**2 + 54*f\/7 + 24\/7 = 0. What is f?\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.092 + 0.0920054. Round f to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17947450 divided by 5.\nAnswer: 3589490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-76)\/(-15) + 55\/(-825). Solve -c*o + 15 = -0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 26.8 - 32596.\nAnswer: -32569.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.215 + -0.785. Let g = -1 - 0. Which is the closest to g?  (a) x  (b) 2  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3589 and 548.\nAnswer: 1966772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(153) + (3*sqrt(153) + sqrt(153))*-6 + sqrt(153))*5)\/(-3*3*sqrt(441)).\nAnswer: 110*sqrt(17)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7742 + 7738. Which is the closest to -3?  (a) h  (b) -0.08  (c) 5\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2280*h - 3 - 1674*h + 6935*h - 283*h.\nAnswer: 7258*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 + i - 9. Let s be h(0). Let k(y) be the third derivative of -y**4\/24 + y**3\/2 + 16*y**2. Does 10 divide k(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 89, 96, 101, 104, 105, 104, 101?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -97*n + n**2 + 97*n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (34 + 1136\/(-32))*22.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 233188 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i + 3*l + 12, 0 = 2*i - 6*i - 2*l - 24. Let b = i - -14. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 120\/(-15)*-1*(-58)\/(-348).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y. Let j(s) = 26*s. Calculate 4*h(p) + j(p).\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f + 4*f + f)*(-4*f + 2*f - 2*f).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbabbbaabb. What is prob of picking 4 b?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*w = -11*w - 50. Suppose 0 = 2*s + 5*j - 11, -3*s + 4*j + w = 5*j. Differentiate 3*z**2 + 8*z**s - 75 + 91 - 3*z**2 with respect to z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 5*w + 155 = 8, -3*w - 537 = 4*b. Let y = -2514 + 2640. Let a = b + y. Let v(j) = 2*j + 3. Determine v(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1571 = 7*r - 1508 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 531 - 209 = 3*q, 410 = 4*q - 3*d. Suppose -t - q = -9*t. Solve 5*w - 31 = 5*r + 3*w, -5*r - 4*w = t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**1\/y**1)**(-1\/32) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -41, -292, -999, -2390, -4693, -8136, -12947?\nAnswer: -19354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6269\/2 - -106569\/34. What is the closest to -1\/6 in 3\/4, -1, -1\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 10) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 20 + 0 + (3 - -14 - 22 - -1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.2 + 0. Let d = g + 1.2. Let c = 2 - 1. Is d < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 301487 is divided by 1373.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 4662048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4 - 34\/6)\/((-2)\/6). Suppose -4*c + 3 + 3 = -2*r, v = 5*r. Solve 0*h = c*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10302060 to the power of 1\/2, to the nearest integer?\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Factor -v**4\/2 - 669*v**3\/2 - 1989*v**2.\nAnswer: -v**2*(v + 6)*(v + 663)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13 + -8. Suppose t*r = -0*r - 15. Sort 2, r, -2 in descending order.\nAnswer: 2, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of -5*q + 0 + 5\/6*q**3 + 1\/2*q**2. Differentiate r(g) with respect to g.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of -i**5\/60 + 2*i**2 + 91498*i. Let t(u) = 3 - 1 + 3*u**2 - u**2. Calculate -6*g(k) - t(k).\nAnswer: 4*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the first derivative of -7*x**2\/2 - 7*x + 1490. Give d(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0599694 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 160322 is divided by 53419?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 172752 and 175429656?\nAnswer: 350859312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 4*y - 28. Suppose 0 = 4*j - s - 2, -3*j - 12 = 4*s - y. Let u(x) = x**2 + j + 0 + 12*x**2. Let g(l) = -2*l**2. What is u(g(o))?\nAnswer: 52*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -781 and 327698.\nAnswer: -255932138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 18 = -3*s, 5*s = 3*s - 3*h + 22. Suppose -5*m - 420 = -s*m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11888 divided by -1160.\nAnswer: -1486\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes before 4:59 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22390 and 22340742?\nAnswer: 4478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the second derivative of f**3\/3 - 3*f**2 - 2*f + 14. Let y(l) = -l + 5. Let u(w) = -2*j(w) - 3*y(w). Calculate u(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 12*z - 24 + 35*z - 70 + 48 - 50. List the prime factors of s(15).\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*w - 65*w + 6*w + 12*w.\nAnswer: -29*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -44, -57, -54, -29?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-2 + ((2 + sqrt(245) + sqrt(245))*3*-1 + -4)*3)**2.\nAnswer: 48384*sqrt(5) + 482424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22560 by 5640.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80)*4)**2 + 4.\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-77 - (0 - 2 - -8)) + (-48 - -30 - -25)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 45 and 9811800.\nAnswer: 9811800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -45 + 45. Suppose 5*g + j - 127 = 0, -5*g = -v*j - j - 133. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.28*-1143\nAnswer: -320.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + i = 1, -p - p = 4*i + 4. Suppose z + 4 = 1. Put z, -0.5, p in descending order.\nAnswer: p, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*j - 9*j + 40 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:07 PM and 3:46 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32, 2, -3, -2, 31, -20, 154 in decreasing order.\nAnswer: 154, 31, 2, -2, -3, -20, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 62 - 58. Solve 0 = -0*w - 2*w + l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6035299?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 396*u + 640 + 330*u + 83 - 28*u**2 + 31*u**2 = 0. What is u?\nAnswer: -241, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pfp when three letters picked without replacement from {p: 7, f: 5}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -13*i - 1. Let f(v) = 11*v. Determine -6*f(g) - 4*w(g).\nAnswer: -14*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 3 c when four letters picked without replacement from {e: 4, c: 7}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 544 and 536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1918058*v + 3*i = 1918057*v + 4, 2*i = 5*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - 4) + 1 + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 987, 2157, 3327?\nAnswer: 4497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3100 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 595?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -5*k**2 - 2*k + 13. Let i(t) = -t + 1. Let d(b) = 2*i(b) - q(b). Differentiate d(s) with respect to s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p = -11*p + 3*d + 20715, 4*p - d = 27638. List the prime factors of p.\nAnswer: 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*i + 7599 = 115776 - 538327. List the prime factors of i.\nAnswer: 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuhhhuuhuhhhuhuhhuu.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the second derivative of 0 + 2*m + 0*m**2 + 1\/3*m**3 - 1\/24*m**5 - 7\/360*m**6 + 1\/12*m**4. Let w(i) be the second derivative of o(i). Factor w(n).\nAnswer: -(n + 1)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-8)\/(-6))\/(6\/9). Suppose -b*w - y = 17, 0 = 5*y + 12 + 13. Let c(r) = r**3 + 7*r**2 + 4*r. Does 6 divide c(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q + 25 = 187. Which is smaller: -16 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (5 + 6*(2*sqrt(700) - sqrt(700)) + sqrt(700) - 6*(-5*sqrt(700)*1 + sqrt(700))) + 5)**2.\nAnswer: 6820*sqrt(7) + 672821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttmt. What is prob of picking 2 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1285 a factor of 159462416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -197*b**3 + b**2 + 2*b**2 - 323*b**3 + 5 - 5*b**2 + 67*b**3 wrt b?\nAnswer: -2718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6972, -6987, -7010, -7041?\nAnswer: -7080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 3*l**3 + 333*l**2 + 73*l + 8031. What is c(-111)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*w**2 + 0*w**2 - 101*w**3 - 2 - 99*w**3 + 201*w**3 + 4*w**4 to the form x*w**3 + i*w**2 + c + m*w**4 + y*w and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o + 3*o - 6*o)*(7*o - 3*o - 2*o) + 24*o**2 + 10*o**2 + 39*o**2 + (-o - 2 + 2)*(4*o - 3*o + o) - 3*o**2 + 7*o**2 + 6*o**2.\nAnswer: 79*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 1. Let i(z) = 2*z + 3384. Let b(d) = i(d) + 5*q(d). Is b(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/5  (b) -44.28  (c) 313\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1167 + -5?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11100011 + 0?\nAnswer: -11100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 2*y**2 + 10*y + 2894. Does 184 divide r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-4)*c*c)\/(((c*c**(-1))\/c)\/c*c)*c**6\/c**(-5))\/(c**(-1)*c**7)**(-6) assuming c is positive.\nAnswer: c**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1006 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -9, 2, -23, 3 in descending order.\nAnswer: 3, 2, -1, -9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 326 - 325.9. What is the nearest to 2 in 0.5, 5, q, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 - 34038*s**2 + 76372020*s + 119930978136.\nAnswer: 3*(s - 6194)**2*(s + 1042)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 9*t**2 - 7*t - 2. Suppose 5*g = -3*w + 38 - 10, -w + 3*g = 14. Suppose -s = -v - w, 5*v + 36 - 1 = -5*s. Is 10 a factor of m(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/(1 - 3) - -383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 4 = 0, p - 3*p - 76 = -3*q. Let l be -61 - 3 - (8 + -13). Let o = p - l. What is the remainder when o is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/38110 and -85\/60976.\nAnswer: 304880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3678*u**3 + 27*u - 1081715 with respect to u.\nAnswer: 11034*u**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 30 - 16. Is y at least 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 7*f**3 - 88*f**2 + 7*f + 6. Let l(c) = 2*c**3 - 29*c**2 + 2*c + 2. Calculate -3*h(r) + 10*l(r).\nAnswer: -r**3 - 26*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3*l**3 - 2*l**2 - 2*l - 1. Let y = 8 - 9. Let i be d(y). Let p be (-1)\/(11\/4*i). Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 228387681?\nAnswer: 3, 313289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -5*h + 1051, 2 = -4*t - 2. Let f = h + -189. Calculate the highest common divisor of f and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*c**2 + 7*c**2 - 5*c**2 - 3*c**2 - 2*c**2 + 7*c**2 + (-3 - c + 3)*(3*c - 4*c + 2*c) - 6*c**2 - 10 + 10 as j + s*c + u*c**2 and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*j**3 - 555 + 1106 - 49*j**2 + 115*j**2 - 549 in the form p + b*j**3 + q*j**2 + k*j and give q.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 599048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence amf when three letters picked without replacement from aamafaaaam.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -7) + 52 + 851\/(-23).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96\/528 - (-4453)\/11?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7984 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 612, 1228, 1846, 2466, 3088, 3712, 4338?\nAnswer: 4966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 819, 732, 647, 564, 483, 404, 327?\n\"Answer: r**2 - 90*r + 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -281697023*y**2 + 78*y - 88717 wrt y?\nAnswer: -563394046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3c1c3 (base 14) to base 4.\nAnswer: 210100333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(84) + (sqrt(84) + (sqrt(84) - sqrt(84)*-3) - sqrt(84)) + sqrt(84)))\/(-6*sqrt(84)\/sqrt(7)) + 0.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 17942200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 12 - 2*t + 2*t - 5 + 23 - 18*t. Let w(c) = -10*c + 17. Let i(v) = 11*w(v) - 6*x(v). Let g(q) = -3*q + 6. What is -7*g(a) + 6*i(a)?\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (38*z + 92*z - 73*z)*(-8 + 8 + 3*z).\nAnswer: 171*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 30 = 5*b, 0 = 4*k - 109*b + 111*b + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 10) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*x**2 + 2 + 4*x**3 + 57*x - 55*x + 2*x**3 - 7*x**3 + 4*x**4 to the form v*x + p*x**3 + n*x**2 + b + t*x**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.24 - -3.24. What is the nearest to -0.71 in 5, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -21 - -4. Let u = k + 31. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 88, 0, -4 in increasing order.\nAnswer: -4, 0, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 775029.\nAnswer: 3, 19, 13597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*h + 4584 - 16926 = 74*h for h.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 6 = m. Let v be (4\/(-10))\/(m\/110). Suppose 0 = 6*r - 7*r + v. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 61*q - 9 - 3 + 37*q - 4 + 11 in the form g*q + z and give g.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 l when three letters picked without replacement from {l: 3, z: 2, g: 2, q: 3, j: 3}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 + -5. Let d(n) be the second derivative of -n**4\/12 + 2*n**3 + n**2\/2 + 11*n. Let c be d(12). Put k, c, -6 in ascending order.\nAnswer: -6, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (124\/(-31))\/((-4)\/10)*(-24)\/20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6191 less than -103079?\nAnswer: -96888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 - 5*g + 24. Let p be u(-7). Suppose 0 = -3*b + 19 - p. Let a be -2 + (b - 0) + 3. Solve -3*d + a = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1\/26 - -10\/91. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 50 + -22.7. Let q = -3.3 + v. Which is the third biggest value?  (a) -1\/2  (b) -4  (c) q  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/6)\/((-2)\/10). Solve 0 = -n*s - 4*b + 27, 0 = 2*b + 4 - 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8176936091 + 31.\nAnswer: 8176936122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 494*j - 1999 = 2447 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of -7*y**5\/20 - 13*y**3\/6 - y**2 - y. Let f(u) = 3*u**3 + 6*u + 1. Let o be 194\/84*-6 - (-30)\/35. Calculate o*f(c) - 6*k(c).\nAnswer: 3*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5515092?\nAnswer: 2, 3, 11, 19, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 30669 - 30668.78. Which is the nearest to 9?  (a) -5  (b) o  (c) -3  (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttttztzttttzttd. What is prob of sequence zt?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, m: 4}. What is prob of picking 1 m and 1 a?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17 - -19. Suppose n + 4*k - 200 = 0, -198 - 758 = -5*n + o*k. Is n a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 136 divide 31552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 s when three letters picked without replacement from sprrsrrsrrrrrssrsspr.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -50*q - 649. Determine b(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 345664 is divided by 202?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**4 - z**3 + z**2 + z - 2. Let u(s) = 2*s**4 - 23*s**3 + 65*s**2 - 73*s + 29. Let c(q) = j(q) + u(q). Factor c(l).\nAnswer: 3*(l - 3)**2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.8  (b) -8\/9  (c) 0.4  (d) -7  (e) 5  (f) -2\/5  (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1100 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 8:52 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -5589*u**2 - 5419*u - 12. Let v(l) = -4*l**2 + 4*l - 4. Let x(g) = -k(g) + 3*v(g). What is the second derivative of x(j) wrt j?\nAnswer: 11154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(320) + 1 + sqrt(320) + sqrt(320) + sqrt(320)) - (-2*sqrt(320) + 0)) + -1.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/10, 2\/115, -2 in descending order.\nAnswer: 2\/115, -3\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 5*i = 91, 4*m = -3*i + 1038 - 997 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5 - -5)\/(0 + 2)*299. Suppose -2*h = -c + n, 10*c - 5*c - 7501 = -3*h. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of 38*p**2 + 0 + 1\/12*p**4 + 0*p + 0*p**3. Let w(y) = 195*y**2. Determine q(w(v)).\nAnswer: 390*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.10379 rounded to three decimal places?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eel when three letters picked without replacement from letilefk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(2) + sqrt(12)\/sqrt(150) + (sqrt(162) - (sqrt(162) + 0)) + 3).\nAnswer: -9 - 18*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 3*y. Let s be r(2). Let x(f) = f**2 - 7*f + 1. Let j(a) = -51*a - 31*a + 151*a - 37*a - 31*a. Let g be 2\/4*2 + 0. What is g*x(m) + s*j(m)?\nAnswer: m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -6*t + 4. Let d(s) = s**3 - 13*s**2 - s + 9. Let v = 6 + 7. Let x be d(v). Let y(a) = -5*a + 3. Determine x*y(m) + 3*r(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -75\/4  (b) -1  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30\/4*28\/(-30)*(-11270)\/(-7889).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 155641 and 335.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 100000010001000111011011 (base 2) to base 6\nAnswer: 501144415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13055513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 261 (base 8) to base 7.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 80\/14*36435\/4164.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7781809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-7))\/(-2*(-20)\/56)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 61*d**3 + 4*d - 8. Let m be f(2). Let w be 14\/(-77) - m\/(-22). What is the first derivative of 183*i + w - 166*i - 7 wrt i?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5729 = 4*k - x, -9*k - 2*x + 4283 = -6*k. Let m be k\/18 - (-1 + 3\/(-6)). Which is bigger: 82 or m?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 + 5 - -3) + 9 + -16 + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from gglllggwwwgglgwgggg.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 3*w**2 - 5. Let d(j) = 10*j**2 - 15. Let n(s) = 3*d(s) - 8*x(s). What is the derivative of n(i) wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -668257 and -925.\nAnswer: -669182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 659821.6ng?\nAnswer: 0.0000006598216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.4 + 0.1. Let p be (-11)\/(-33)*4*(-3 - 0). Which is the third smallest value?  (a) -3\/5  (b) p  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/121 + (-122958)\/(-30613). Let 0*z + 0 + 2\/5*z**5 + 2*z**c + 14\/5*z**3 + 6\/5*z**2 = 0. Calculate z.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 95379986 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8833660 and 192132105?\nAnswer: 768528420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*t + 26 = -74*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 4*i**2 + 10*i + 73. Calculate x(-7).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.06, 1\/2, -1.337?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 51*i**5 - 6*i**4 - 250*i**2 - 6*i + 6. Let f(r) = r**5 + r**4 - r**2 + r - 1. Let h(n) = -6*f(n) - g(n). Find the third derivative of h(m) wrt m.\nAnswer: -3420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-38)\/(-2) + -3 + 2 is divided by ((-10)\/3)\/(2\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 120000 (base 4) in base 6?\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is c1 (base 13) in base 4?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -151\/30355314 and -103\/232724074?\nAnswer: 698172222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 1 - 4. Let i be 5*a\/((-10)\/(-12)). Calculate the greatest common divisor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1420142.4 rounded to the nearest 1000?\nAnswer: -1420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -41 + 25 + (9 - -2) + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from keeeek?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1\/42 + 9\/14. Sort -3\/2, 1\/5, -0.5, u in descending order.\nAnswer: u, 1\/5, -0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 11. Let z(r) = r**2 - 3*r + 3. Let i be z(3). Let y = f - i. Which is the nearest to -1?  (a) -0.5  (b) y  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -128.31857712 - -124.318577. Let s = m + 4. Round s to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iirrsirsr. What is prob of sequence riir?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 + 4)*-6*1. Calculate the remainder when 22 is divided by 2 - (n + 3 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from suhnenu. Give prob of sequence un.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrxxrrrrxxxxxxrxrr. Give prob of picking 3 x.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + p - 1 = 0, 5*p - 9*p = 6*s - 4. Suppose s = 22*u - 264029 + 26407. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of 8*j + 7\/100*j**5 - 1\/50*j**6 + 0 + 0*j**2 + 0*j**4 - 2\/15*j**3. Factor s(w).\nAnswer: -w*(w - 2)*(w - 1)*(3*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 256027834?\nAnswer: 2, 29, 811, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30 and 60546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of 1 + 8*r**3 + 4*r**2 + 28*r**2 - 61*r**2. Find the second derivative of p(q) wrt q.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3903222900 to the nearest 1000000.\nAnswer: -3903000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 58574856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14.778 + 9.521. What is h rounded to 1 dp?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*h - 4*h + 7*h - 12*h**2 + 2*h**2 + 6 + 2*h**3 - 4*h - 2*h**4 to the form o*h + y*h**3 + r*h**4 + k + b*h**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) 36  (c) 0.054  (d) 8\/3  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 92 at most 166403\/1801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36.53196g to milligrams.\nAnswer: 36531.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -368 - 46*z**3 + 368 + (-2*z + z + 3*z)*(3*z**2 + z**2 - 2*z**2) + 0*z**3 - 1 - 2*z**3 - z**3.\nAnswer: -45*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of 0 + 2\/3*t**3 - 2*t + 1\/24*t**4 + 1\/2*t**2. Let j(d) be the first derivative of o(d). Give j(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11202 + 120?\nAnswer: 11322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 + -1)*-1*3. Let q = 2504 - 2502. Solve -4 = 2*d + v - 5*v, -q*d = b*v - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(((d**(-1\/2)*d)\/d)\/d))\/d)**(-46)\/((d*d**(4\/5)\/d)\/d*d\/d**(-1))*(d**(2\/5)\/d)**(-2\/121)*d**0\/(d\/(d*d**(1\/7)*d)) assuming d is positive.\nAnswer: d**(-294956\/4235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 590854463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -b9757 (base 16) in base 12?\nAnswer: -307733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 30403.6092 rounded to the nearest integer?\nAnswer: 30404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.615886377 rounded to five decimal places?\nAnswer: -0.61589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j + 43. Let y be s(26). Suppose -5*o + 74 - y = 0. Sort 0, 3, o in increasing order.\nAnswer: 0, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-45)\/(-585) + 40\/(-13). Let y(z) = 2*z - 2. Determine y(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 + -11. Suppose 3*k + q = 3*t + 13, -2*k = 2*t - 20. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -3*p + p + 15 + 3*p. Let x be z(-9). Let g(y) = 2*y. Let r be g(1). Solve x + 4 = -r*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5625*l - 5621*l - 4*i + 8, 4*l - 3*i + 8 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes before 5:22 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -5*u**2 - u + 3. Let v(a) = -11*a**2 - 3*a + 7. Give -9*b(r) + 4*v(r).\nAnswer: r**2 - 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 - 2*d**2 + 7*d + 2. Let m(p) = 7*p + 10. Let l be m(-2). Calculate the remainder when 21 is divided by t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-46533)\/3 - (-2 + 0). Let r = v - -77064\/5. Let p = r - -97. Put 0.3, 4, p in ascending order.\nAnswer: 0.3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -90 - -95. Sort -4, h, 1, -3 in ascending order.\nAnswer: -4, -3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.345 - 0.28. Let o = -32.065 + b. Let s = o + 33.41. Round s to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 4*p**2 - 181*p**4 + 179*p**4 - 3 + (2*p**2 + 0*p**2 + p**2)*(2*p - 2*p - p**2) + p**3 - 6*p**4 - 4*p + 4*p.\nAnswer: -11*p**4 + p**3 + 4*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*n**4*p**2 - 6*n**4 - 54*n**3*p**2 - 58*n**2*p**2 + 5*n**2 wrt n?\nAnswer: -48*n*p**2 - 144*n - 324*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*u**3 + 31*u**3 + 16866*u**2 - 16866*u**2.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -3  (b) 0.1  (c) 0.3  (d) -191\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -14*x - 4. Let q(r) = r**2 - 50*r + 159. Let k be q(46). Let c(b) = 85*b + 25. Give k*i(g) - 4*c(g).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2624\/3 + -5333\/6. What is the common denominator of g and ((-8)\/64)\/(14\/(-24))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 10 + 2)*(7 - 6 - 2*u + 3*u) to the form g + t*u and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20800208 is divided by 12051.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -48 not equal to -339\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 352\/(-99)*3*(-50)\/800*(-9)\/(-258)\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1881 divided by -11\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1518 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 52, 58, 66, 76, 88, 102?\n\"Answer: s**2 + 3*s + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*h**2 - 2)*(20*h + 53 - 47 - 56*h).\nAnswer: -72*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8 and 3885188?\nAnswer: -31081504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from afk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 29641093 to the nearest integer?\nAnswer: 5444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 7*b**2 - 2*b**2 - 1 + b**2 - b**2 + 4*b**2. Let i = -27 - -28. What is r(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, t: 5, i: 1, r: 11, m: 2}. What is prob of sequence tl?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ecwwcggccgcchcwzcec. Give prob of sequence cwh.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 639079143.\nAnswer: 3, 281, 758101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**3 - 8*f**2 + 2*f + 4. Let x be q(8). Let j = -9 + 13. Suppose 116 - x = j*t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -3 - 1 + 6 + 6*p**2 - 4 + p**3. Let n = 15 + -21. Give g(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 88, 169, 252, 337, 424, 513?\n\"Answer: m**2 + 78*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -62569 - -62569.60007. Let i = s - 0.6. What is i rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.04885 - -17.42715. Let n = h - 1.546. Let r = -13 + n. Round r to one decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 7315.839 millennia?\nAnswer: 7315839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 37?  (a) -140\/9  (b) 34\/3  (c) -1  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 319529.4 centuries in decades?\nAnswer: 3195294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u**4 + 3930*u**3 + 23460*u**2 - 588591850*u - 115667471385 = 0 for u.\nAnswer: -391, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does -1219\/5776 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 - 6*q**2 + 6*q. Let x be l(5). Let p(b) = -b**3 + 4*b**2 + 6*b - 3. What is p(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.22 less than -492?\nAnswer: -491.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 + 15. Solve -10 = 7*h - l*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -163\/13431600 and -173\/147600?\nAnswer: 13431600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**3 + q**2 - q - 1. Let r(f) = 105*f**3 - 2*f**2 + 2*f - 74. Let l(u) = -2*h(u) - r(u). Differentiate l(x) wrt x.\nAnswer: -309*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -479 - 601 - 62*h**3 - 10*h**4 + 3762*h + 2*h**4 + 29*h**4 + 159*h**2 - 280*h**3 = 0. What is h?\nAnswer: -3, 2\/7, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -160727 (base 11) to base 10.\nAnswer: -249773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 294 - 662 + 368 + 2*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the first derivative of -m**3\/3 - 3*m**2 - 5*m + 1455. Give h(-10).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 7650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 3, -o = -3*n - 2*o + 1. Let x be -3 + 1\/3*n. Is (x\/2)\/(3\/(-28)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v. Let b(c) = 190753*c. What is n(b(w))?\nAnswer: -190753*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 5) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*q**2 - 6*q**3 - 2 - 2*q + 3 - 3*q**3 - 5*q**3 + 3*q to z*q + c*q**3 + u + n*q**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from fpgggpgfpgww.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 - 66.72.\nAnswer: -97.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -141, -256, -371, -486?\n\"Answer: -115*k - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11603?\nAnswer: 41, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6 + 2*z**5 - 2*z + 6 - 18 + 5*z**5 - 3*z**5 - z**5 + 2*z**5 + z**2 - z**2 + (-z**5 - z**5 + 4*z**5)*(1 - 1 + 2).\nAnswer: 9*z**5 - 2*z - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3116 - 5?\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2376 and 70224.\nAnswer: 632016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -177067 + 634.755?\nAnswer: -176432.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.5, 0, -2\/3, 3, 1, 4312?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-27*(-36)\/(-891))\/((-4)\/33)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = l - 12 + 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of -8*f**6\/3 - 2*f**3\/3 + 17*f**2\/2 - 1. What is the second derivative of r(j) wrt j?\nAnswer: -320*j**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15596 divided by -108\nAnswer: 3899\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/406488834 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 230.5847163237 take away 4?\nAnswer: 226.5847163237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(1\/3)*m**(-1)*m**(1\/4)*(m**5*m)\/m)\/(m**(-1\/3)\/(m**(-3\/4)*m*m**(2\/15)*m)) assuming m is positive.\nAnswer: m**(73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - -51)*2\/6. Let o(f) = -11*f**3 + 6*f + 17. Let w(d) = 6 - 4*d**3 + 2*d - 410376*d**2 + 410376*d**2. Calculate x*w(l) - 6*o(l).\nAnswer: -2*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/1 - 9\/(-7). Suppose 6 = -2*y + 12. Let h = 13\/5 - y. What is the biggest value in h, m, 1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 9*u**2 - 1677*u + 11443. What is f(7)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 82.9 - 75. Let n = q - 54.9. Let k = n - -52. What is the third biggest value in k, 0.1, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -2945.457.\nAnswer: 883.6371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 + 21*l + 51. Calculate y(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -8839*b - 1879. What is the tens digit of h(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d - 15. Let x = -10 + 20. Let c(w) = -9 - 1 + 2*w - x - 3. Let t(r) = 5*c(r) - 7*l(r). Find the first derivative of t(z) wrt z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 60140 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*b - 76 = -34*b. Let n be 4 - (2438\/483 + b\/(-3)). Put -16, n, -5 in ascending order.\nAnswer: -16, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r + 2*q + 4, 2*q + 6 = -5*r - q. Suppose r = -5*p + p + 8. What is the third derivative of 4*z**5 + 0*z**p - 21*z**2 - 13*z**5 wrt z?\nAnswer: -540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 61\/2, 392, 0.5.\nAnswer: 0.5, 61\/2, 392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 0. Suppose 3*i + 3*j + 21 = p, -4*i - 5*j = 22 + 11. Is ((-6)\/(-9))\/(i\/(-159)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -87 divided by 23425.\nAnswer: -87\/23425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 2 b when four letters picked without replacement from bcmbmmcmbbbbu.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 70261905 from 200.32.\nAnswer: -70261704.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1.05 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*p - 2355 = -2913 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -112293187*n**2 + 2655*n + 10408?\nAnswer: -224586374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180) + 1 + -4)**2 + 0 - (3 + 2 + sqrt(180) + 1 + sqrt(180))**2) + -5.\nAnswer: -572 - 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 546*z**4 - 1546.\nAnswer: 2184*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*f**3 + 3*f**2 + 6 - 3*f**2.\nAnswer: -6*f**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 373 (base 8) to base 12\nAnswer: 18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 5*k - 2 + 15 = 0, -4*k = 4. Let u be 12\/9*(-6)\/h. Determine d, given that -2*d**2 - d - 2*d**3 - u*d + 5*d + 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t - 5*t - 5*t + 3*t - 9913 + 9907.\nAnswer: -6*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 - 114641663?\nAnswer: -114641661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, 3, 97, -17, -2 in decreasing order.\nAnswer: 97, 3, 1\/2, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 85 and 17010?\nAnswer: 289170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 588 < 565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 16*g - 106. Give k(-9).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*r**4 - r**2 + 292*r + 7788 with respect to r.\nAnswer: 16*r**3 - 2*r + 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13 - 696*d + 15 + 746*d**3 + 2778*d**3 wrt d.\nAnswer: 21144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 79961.8 + -108260491.\nAnswer: -108180529.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53 divided by 10516.\nAnswer: -53\/10516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 5*y = -4*a + 25, -2*y - 4*a = -14. Let o = y + -8. What is the second derivative of -s - 2*s**4 - s + o*s wrt s?\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 74248?\nAnswer: 1\/18562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*3\/18*-9. Suppose -s*y = -37 + 1. Let d be (-350)\/(-45) - (-2)\/9. Calculate the highest common divisor of y and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2516)\/(-16) + (-1)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -332559, -332855, -333151, -333447, -333743?\n\"Answer: -296*c - 332263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(2448) - sqrt(2448)) + 2 + (sqrt(102)\/sqrt(6))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -526*k - 4736. Give w(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -185.95 - -185.8. What is the nearest to f in -7, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 268688 and 322.\nAnswer: 6179824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 540.3857 years in centuries?\nAnswer: 5.403857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/792 and -121\/324?\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 310\/(-50) + 6*(-21)\/(504\/(-32)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 238752 divided by 10.\nAnswer: 119376\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of -i**6\/120 - i**5\/6 + i**4\/8 + 336*i**2 - 3*i. Calculate f(-10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 32*p + 9. Let i be n(-4). Let w = -113 - i. Suppose 0 = -w*z - 11*z + 1972. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10230 - -11002333012?\nAnswer: 11003003302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 4*f + 5, -5*f + 2*g + 5 = g. Let s be 0\/1*1\/(-17 + 16). Solve 2*i = -a - s*i + 10, a + i - 5 = f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9157 or -28?\nAnswer: -9157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13950 and 8784.\nAnswer: 6807600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*p**3 + 7*p + 476432*p**2 - 476371*p**2 - 7*p.\nAnswer: 6*p**3 + 61*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 4:19 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4062929246 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 52982497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -2  (b) 68  (c) 37  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 2\/21, -0.117, -3\/7 in ascending order.\nAnswer: -3\/7, -0.117, 2\/21, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 + 77. Is l(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w - 2*w + w)*(-1 - 2 + 2)*(-1 + 4 + 1)*(0*w - w + 0*w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.523 times 891?\nAnswer: 465.993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (64 - 133) + 175 - 157?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, 0, 0.12, -212, 1\/2 in increasing order.\nAnswer: -212, -1\/7, 0, 0.12, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of -1338*j**5\/5 - 16*j**3 - 2*j - 1715. Find the third derivative of m(n) wrt n.\nAnswer: -32112*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 32*y + 1528. Calculate the remainder when b(-9) is divided by 138.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 109657 and -0.222?\nAnswer: -24343.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-30)\/(-160)*(-1)\/(-4))\/(1503\/(-18036))\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5 and -21.24.\nAnswer: -16.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**2 - 43*p - 224. Calculate the remainder when 2861 is divided by l(-10).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:15 PM and 4:20 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 231073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 100*g**3*u**3 - 2*g**3 - 7*u**3 + 5*u wrt g?\nAnswer: 300*g**2*u**3 - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 183368031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 226998123 to the power of 1\/2, to the nearest integer?\nAnswer: 15066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -14 in 1, 2\/45, -4, 6\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(39)*-3 - 3*sqrt(39)*-2)\/(-6*sqrt(243)*1 + sqrt(243) - 2*2*sqrt(243)).\nAnswer: -5*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, 0, -6, 5052 in increasing order.\nAnswer: -6, 0, 27, 5052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1730897 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.2 times -172919?\nAnswer: 553340.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1661 and 11929?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001821157932 rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 9202.473 milligrams?\nAnswer: 0.000009202473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 132 + -120. Suppose 0 = 27*j + 96 + q. Put -3, j, 21, 0 in increasing order.\nAnswer: j, -3, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8249\/1767 + -1\/589. Factor 10\/3*t - 4\/3*t**4 + j*t**3 - 2\/3 - 6*t**2.\nAnswer: -2*(t - 1)**3*(2*t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 134 - 134. Suppose 5*y + 8*y - 767 = u. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -362*n**6 - 243*n**5 + 13325*n**2 - n wrt n.\nAnswer: -43440*n**3 - 14580*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*f**5 + 7912*f**4 - 1981636*f**3 + 130720856*f**2 - 1482641280*f - 3504145536 = 0. Calculate f.\nAnswer: -2209, -2, 17, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((105\/(-14))\/15)\/(1\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 13550*f**3 + 1 + 8*f**2 - 3*f**4 - 13550*f**3 in the form j*f**4 + q*f**2 + y + w*f**3 + u*f and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + -2 - 1) + (-22 - -29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 2. Let g = f + 3.5. Which is the third smallest value?  (a) g  (b) 1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-129)\/86 - (2490\/4 + -1). Let t = 881 + x. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.8, -1\/14, 2.\nAnswer: -1\/14, 2, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 311\/63 - 47\/9. Let y = 824\/105 + -39\/5. Which is smaller: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-7)\/49*(1 + -2). Let o = 0.66 + 2.24. Let x = -7.9 + o. Which is the smallest value?  (a) v  (b) 1  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.19 - 26.81. Let q = n - -25. Which is bigger: -0.02 or q?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1431 - 96*z**2 - 1431 to the form n*z**2 + l + j*z and give n.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20867 and 813?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 44 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0008869 rounded to 5 decimal places?\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/84 and -31\/200?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28163202.\nAnswer: 2, 3, 109, 43063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-10)\/3)\/(2\/3). Put w, -3, -14 in increasing order.\nAnswer: -14, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 114\/9 + (-6)\/(-18). Let p = d + -13. Solve p*o - 5 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-1439.\nAnswer: 4317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -3\/2, -4457, 5, 0, 0.1 in decreasing order.\nAnswer: 5, 0.1, 0, -1\/4, -3\/2, -4457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g + 3. Let q be b(-3). Let x = -1452 + 1451.9. What is the nearest to -4 in q, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 227312 and 24.\nAnswer: 681936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1\/3  (b) 0.2  (c) -10  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -11\/2  (c) 2\/11  (d) -151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vrv when three letters picked without replacement from vrrvrrvrrrrrrvrv?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 119*l + 131*l - 207 + 125 - 168 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-35)*(-17563)\/(-1158))\/(2\/10)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*n**2 + 10*n**2 - 16*n**2 + 3*n + 21 - 3*n in the form m + y*n**2 + s*n and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*o**2 - 3*o**3 - 2*o**4 - 30 + 69 - 36 + o + 0*o**3 + 6*o**3 in the form r*o + g*o**3 + a + t*o**4 + n*o**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*2\/10)\/(511\/2555).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1 + sqrt(931))*4.\nAnswer: 24 + 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 l, and 1 t when three letters picked without replacement from nnhlgntgnn?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 5\/((-125)\/(-20)) - (-8)\/(-20)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 476085180 by 3.\nAnswer: 158695060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 38 or 23568\/607?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -187517\/22688414 + 8\/973. Does 0 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (-272)\/44 + 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 5*7 - 45\/((-1080)\/(-264))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.2  (b) 36  (c) 0  (d) -178905\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -3*l - 6416 - 59608, -28 = -4*l. What are the prime factors of h?\nAnswer: 3, 5, 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*o + 3098 - 2498. Calculate the highest common factor of o and 4300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*g + 3*g + g)*(1 + g - 1) - 62*g**2 + 1314 - 1314.\nAnswer: -65*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2972 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -4*c - 95. Let f be a(-25). Let u(g) = -2*g - 6. Give u(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cyyyx. Give prob of picking 1 x and 2 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -287771\nAnswer: -4\/287771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(168)\/sqrt(4) - sqrt(42)) - sqrt(42))\/(sqrt(54)*3 + sqrt(6)))**2*-5 + 4.\nAnswer: 73\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (1320\/(-935)*-17)\/(1\/2*42\/(-14))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(112) + -2 + 4)*1)**2 - (3 + -2 + sqrt(63) + 5 + -1).\nAnswer: 13*sqrt(7) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven quarters of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-4)*o**0*((o\/o**1*o)\/o*o)**(6\/5) assuming o is positive.\nAnswer: o**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 497*x**4 - 23*x**2 - 10*x.\nAnswer: 11928*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 10, -30, -104, -218, -378, -590, -860?\n\"Answer: -a**3 - 11*a**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 947507523.\nAnswer: 3, 19, 16622939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 5 = 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 2*j + j = 0. Solve 12 + 3 = 3*u, j = -z + u - 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4525646?\nAnswer: 2, 2262823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3257552254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 248?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - q + 2*o = -18, -2*q + 6 = 2*o. Let s = q - -4. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 3*a. Let h(b) = 7879*b - 3. Determine w(h(t)).\nAnswer: 62078641*t**2 - 70911*t + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 612\/102 + 2\/(-4) + (-130820)\/(-8).\nAnswer: 2, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 933, 2021, 3109?\n\"Answer: 1088*l - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 11606\/(-7461) + 5\/9. Let d(x) = -23*x**3 - 2*x**2 + 4*x + 6. Give d(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**2 + 6*n - 10. Let i be l(5). Let m(g) = -4*g - 5 + g**2 + 0*g**2 + 1. Does 7 divide m(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*x - 7*q + 1379 = 1064, -5*x + 4*q = 58 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and 5797.\nAnswer: -23188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 - 5*d - 3. Let n be l(-4). Let f be ((-12)\/10)\/(n\/(-20)). Let p = 26 - -22. Calculate the greatest common factor of p and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*i*k**3 + 6*i*k**2*z**2 - 10*i*k*z**2 - 105*i*k*z + 4*i*z - 59*k**3*z**2 wrt z.\nAnswer: 12*i*k**2 - 20*i*k - 118*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**4\/5 + 6*b**3\/5 + b**2 - 12*b\/5 = 0. What is b?\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-268)\/252 + (-117)\/(-91).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 2*k - 36, 3*p - 78 = -p - k. Let i(q) = 20 + 0*q - p - 3*q. Let d(o) be the second derivative of 2*o**3\/3 + 101*o. What is i(d(h))?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -55 + 13 + 253*w + 25 + 14 + w**2 to the form g + c*w**2 + l*w and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13*y**4 + 41981*y**3 - 2470115*y.\nAnswer: 156*y**2 + 251886*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9 or 11308?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22908 is divided by 1529?\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -16*w**2 + 116*w - 10. Give f(6).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 241679578 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11100 + -11010101101?\nAnswer: -11010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/47419 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 3.5, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of -5*v**4\/6 + 8*v**3\/3 + 4*v**2 - 8*v. Suppose i(s) = 0. What is s?\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 10*w**3 + 47*w**2 - 17*w - 91. List the prime factors of c(10).\nAnswer: 3, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10400946 by 77619.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n = -d + 11, -4*d + 4 = -n - 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.3  (b) 2  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the first derivative of x**4\/4 + 8*x**3\/3 + 4*x**2 + 14*x + 13. Does 2 divide a(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.2, 17 in increasing order.\nAnswer: -0.2, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-4) - (-322)\/8. Let f(p) = 2*p**2 - 8*p - 14. Let h be f(-2). Calculate the highest common factor of h and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 9177 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 364900 to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8691177773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**4 - c**3 + c**2 + c + 1. Let z(t) = 3*t**4 - 4*t**3 + 4*t**2 + 4*t + 4. Let s = 5 + -7. Let v = 3 + s. Let y(w) = v*z(w) - 4*p(w). Factor y(f).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -45973, -46022, -46115, -46258, -46457, -46718, -47047, -47450?\n\"Answer: -h**3 - 16*h**2 + 6*h - 45962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -918*b + 935. What is the remainder when 686\/6 + 1\/(-3) is divided by p(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 - 26. What is the smallest value in -0.3, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -0*z - 2*z - 3*c, c = 0. Suppose -2*y - z = -t - 1, 12 = -3*t + y. Let v be (t\/4)\/((-7)\/56). Solve -2*r = -v + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 2 + 2)*(-1 + 1 + a) - 1 + 1 - 2*a + 15663*a + 7355*a + 7629*a to the form q + r*a and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**3 + 81*f**2 + 1143*f - 1221.\nAnswer: -3*(f - 37)*(f - 1)*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.5 from 507915.697862.\nAnswer: 507915.197862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 81120 and 11120?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tbf when three letters picked without replacement from kababkabktaffbfkfbaf?\nAnswer: 5\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3\/7 - 78*m**2\/7 + 365*m\/7.\nAnswer: m*(m - 73)*(m - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - o**3)*(-2*o + 3*o + 0*o) - 5*o**4 + 16*o**4 + 6*o - 4*o.\nAnswer: 10*o**4 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmwmzmmszzsmz. Give prob of picking 1 w and 1 m.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*l**3 + 58072215*l**2 + 116144450*l = 0. Calculate l.\nAnswer: -2, 0, 11614445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 4, h: 1, s: 5, q: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*l**3 - 724*l**2 - 413617*l - 3 wrt l?\nAnswer: 18*l - 1448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 + -84a07?\nAnswer: -84a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-38)\/(-3*2\/105*5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 439505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 - -7.3. Let t be ((-6)\/(-4))\/(-3)*8. Let d be (-2 - t)*20\/8. What is the nearest to -0.1 in d, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v. Let t(z) = -6*z**2 - 4*z**2 - 4*z**2 + z**2. Determine u(t(r)).\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -16, 0 = 8*g - 13*g - 5*t + 40. Solve g*d - d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-2 - (-2 + -9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 3:06 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3838 - 3877 - (-5846)\/150.\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -439\/4 + 109. What is the fourth smallest value in 0, l, 3\/4, -2\/21?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -88.366 + 89. Let w = u + 0.366. Which is smaller: -5\/3 or w?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c. Let l = 6 - 0. Let a(t) = 0 + l*t - 2 + 2. Determine a(n(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 168 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 31320, 29998, 28676, 27354, 26032, 24710?\n\"Answer: -1322*h + 32642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -78 divided by 13\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/(-5 - -11))\/(3\/21). What is the greatest common divisor of 49 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1276 - -5905. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, t: 3}. What is prob of picking 3 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -5, -8, 0 in decreasing order.\nAnswer: 4, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4\/11  (b) 172.8  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 199096 is divided by 342?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 3*r + 1. Let x(h) = h. Let l(f) = p(f) - 2*x(f). Let t(s) = 4*s + 6. Determine -11*l(d) + 2*t(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 948379771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1516113223688.6689298 + 1516116138619. Let a = -2914931 + o. Let m = 0.669 + a. What is m rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -131 + 252. Let r = 112 - p. Let q = 0.01 - 5.01. Which is the smallest value?  (a) -3\/5  (b) r  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-14)\/(-35) - (-1)\/10. Suppose 3*i = -i. Suppose 0 = -i*g + 5*g. Which is smaller: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 238\/419?\nAnswer: 238\/419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -1652384.4 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4501 - 540210?\nAnswer: -531305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -5567, -9864, -17023, -27044?\n\"Answer: -1431*n**2 - 4*n - 4132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4244 and 692833?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60749 - 5*w + 60758 - w.\nAnswer: -6*w + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/6 - 2\/7. Let d = g + 9\/7. Let k = -3018.8 + 3018.5. What is the second smallest value in 1, d, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*j + 3*m, j = -2*j - 3*m + 15. Which is greater: j or -4\/73?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -15949000, -15948997, -15948994, -15948991, -15948988, -15948985?\n\"Answer: 3*n - 15949003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24 + 17. Let r be 2*(15\/4 - (-19)\/(-76)). Let u be (22 - r)*(2 - 0)\/(-6). Put 0, u, f in ascending order.\nAnswer: f, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -172*w**3 + 5079 - 5079 + 559*w**3 + 398*w**3.\nAnswer: 785*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7805 is divided by 128.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 15344 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**2 + 37*x - 128. Let q be m(15). Are 208 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 - h**2 + 4. Let z be q(0). Calculate the remainder when 63 is divided by z - (-2 - -4) - -14.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 2 i when three letters picked without replacement from iissiiii.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -3*a + 331, a - b = -0*a + 109. Let x = a + -41. Suppose g + k = -3 + 21, 4*g = -2*k + x. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ymbz when four letters picked without replacement from myzybbb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyq when three letters picked without replacement from {h: 2, y: 4, q: 7}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.25 - -0.09. Let u = h - -7.16. Let p = 7.1 - u. Which is the biggest value?  (a) 4  (b) 0.5  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -3\/4, -0.4, -45\/8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-6) - -1)\/((-136)\/(-102))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -101001101111010001110101 (base 2) to base 14\nAnswer: -164b63b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pefff. Give prob of sequence fffe.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.061, 6\/11, 2 in ascending order.\nAnswer: -0.061, 6\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 11 + 1. List the prime factors of (g + -2)*940\/8.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g**3 + g**3 + 5*g**3)*(-3*g**2 + g**2 + 4*g**2) - 4*g**5 + 5*g**5 + 0*g**5 + g**4 + 2*g - g**5 - 13 + g**4 + 15.\nAnswer: 10*g**5 + 2*g**4 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 - 102. Let q be -3*v\/(-75)*-5. What is the highest common factor of 57 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -3*m + 20. Let z be a(8). Let r be z\/18 + 12298\/99. Calculate the highest common divisor of r and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 5*c - 5*v + 31 = 0, 5*v - 19 = 3*c. Let p(d) = -c*d**2 + d**2 + 13*d + 1 - 2 - 7. What is the units digit of p(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -318, -317, -324, -345, -386, -453, -552?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 AM and 12:26 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-51))\/((-3)\/(-9)). Let p = 10.7 - 10. Let r = -0.3 - p. What is the closest to 1 in 1, v, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*k**2 + 4*k**2 + 0*k**2)*(-5*k + 0*k + 3*k) + 794*k - 794*k - 2200*k**3 to the form z*k**3 + y*k + o + g*k**2 and give z.\nAnswer: -2202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 235035.\nAnswer: 3, 5, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 984215.8 to the nearest 10000.\nAnswer: 980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.1 + -0.9. What is the third smallest value in 2, l, -2\/7, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-2*sqrt(117)\/sqrt(9)*2)**2 - (sqrt(832)*4 + sqrt(1573)*1)**2) + -1.\nAnswer: -25286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -9 divided by 5793\nAnswer: -3\/1931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -28034*x - 2. Let j(n) = -28716*n**2. Determine k(j(u)).\nAnswer: 805024344*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 3*d = -0*d + 23, 5*d = 5*c + 15 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 165*((-1)\/(-10))\/(82\/(-164))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 5*w**2 + 4*w + 4. Let t be y(4). Suppose -3*j = 2*j - t. What is the smallest common multiple of 10 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20228*a**4 + 30537*a.\nAnswer: -242736*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18920 is divided by 3145?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 899 = -38*f + 139 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 + 13*j**2 + 4. Let w be c(-13). Suppose -t = t - w. Calculate the greatest common factor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/52 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (-665)\/(-42)*2\/15.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 2*i - 8, i - 2*i = -2*t - 8. Suppose 2*s + i = 22. Let y = 8294 - 8238. Calculate the highest common divisor of s and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2110)\/(2\/3 - (-16)\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 2266297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-270)\/45*2\/(-4). What is the third derivative of 18354*t**3 + t**2 - 18354*t**r + 15*t**4 + 206 wrt t?\nAnswer: 360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 50 - 41. Let j(c) = c**3 + 8*c**2 - 2*c**3 + 2975*c - 2966*c + 0*c**3 - 5. Give j(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1215*t**3 + 1220*t**3 + 0*t - 2414*t**3 + 0*t.\nAnswer: 21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33838 is divided by 3369.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 181 - 38 = 5*w - 4*y, 0 = -5*w + 3*y + 136. Let z(q) be the first derivative of 0*q + 0*q**2 - 1\/2*q**3 + 3\/16*q**4 + w. Factor z(o).\nAnswer: 3*o**2*(o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the second derivative of z**3\/6 + 21*z**2\/2 - 30*z. Calculate g(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 0 - -4 - (4 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50*n**3 - 52 - 54*n**3 + 52.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102834?\nAnswer: 2, 3, 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 - 4 - 1 - -7. Suppose 20 = g*t, -3*t - 14 = -5*z + 19. Calculate the highest common divisor of 81 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2663358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -51262 (base 10) to base 13.\nAnswer: -1a443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*r = 38*r - 30 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 186858489410*o**2 + 2*o**3 - 186858489410*o**2.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 93499, 93500, 93501, 93502, 93503?\nAnswer: 93504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -3668*w**2 - 3549*w + 3548. Calculate r(1).\nAnswer: -3669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/36 + -5 + 352\/90 - 520\/650.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (16\/(-6))\/((-3)\/1116). What is the hundreds digit of (m - -1)\/(0 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 2809780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4070 is divided by 102?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*g + 84 = -61*g. Suppose -n - 2*k - k - 8 = 0, 3*k = 5*n + 112. Let x be (n\/12)\/(g\/101160 + 0). What is x rounded to the nearest 1000?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*n - 9 = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1908102 divided by -543.\nAnswer: -3514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**0\/n)\/n)**(-3\/23)\/(n*n**(-5)*n**(2\/29)))**(1\/40) assuming n is positive.\nAnswer: n**(699\/6670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1.49, 5, -2, -0.4 in decreasing order.\nAnswer: 5, 3, 1.49, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 553 - 118 = -45*j + 16*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*j**3 + 572384*j**2 + 1144808*j.\nAnswer: -2*j*(j + 2)*(5*j - 286202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*s = 29*s - 19*s + 322 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 298535435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1771 and 571251989?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 317583 divided by -4\nAnswer: -317583\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19293 - 654. Let s = -13000 + c. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -506419*b - 1012814. Give c(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -32*i + 63*i - 27*i - 6 in the form a*i + f and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -37558 (base 14) in base 13?\nAnswer: -498b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9095 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -34, -1, 460 in ascending order.\nAnswer: -34, -1, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-182)\/(-65))\/(-14)*(-20)\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, -208 in descending order.\nAnswer: -1, -4, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -106354, -99421, -92488, -85555, -78622, -71689?\nAnswer: -64756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 119*i**3 - 17*i**2. Let o(h) = -34*h**3 + 5*h**2. Let d(l) = -l**3 + 19*l**2 + 26*l - 103. Let j be d(20). What is j*o(n) + 5*w(n)?\nAnswer: 17*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32 - -28 - (-7 + 2 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of 3\/2*u**2 + 3 - 6*u. Let c(q) = -q**2. Calculate i(c(o)).\nAnswer: -3*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 30861294 a multiple of 3516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -508*j**3*z - 2383*j**3 + 589*j**2*z + 395*j + 2*z wrt j?\nAnswer: -3048*z - 14298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7272 and 36663?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -11585?\nAnswer: -1\/11585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -2*w**3 - 4*w**2 + 14*w - 2. Let b be p(-5). Suppose 68*t - b*t = 40. Put t, 0.1, -125, -0.3 in ascending order.\nAnswer: -125, t, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1600)*-1 + sqrt(1600) + -4*-2*sqrt(1600))\/((sqrt(20) - (-2*sqrt(240))\/sqrt(12))\/(sqrt(4) + sqrt(20)\/sqrt(80))).\nAnswer: 110*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) -0.6  (c) -4\/5  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of 0 - 5\/2*g**4 + 3\/10*g**6 + 21\/2*g**3 - 9\/10*g**5 - 27\/2*g**2 - 42*g + 1\/14*g**7. Determine l, given that j(l) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 256, 5, 4 in decreasing order.\nAnswer: 256, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -149*o - 691. Give m(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27 + 0*y**3 - 16 + 2*y**3.\nAnswer: 2*y**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*y + 2*y - 3*y + 0*y - 5*y + y + (1 - 2 - 1)*(0*y - y - y) - 3*y + 0*y + y)*(2 - 3 - 3)*(-3 + 4 + 1) to n + u*y and give u.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 66169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 + t + 10. Let b be w(3). Put 9, -1, b, 5 in ascending order.\nAnswer: -1, b, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 62 and 108097.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the third derivative of -m**5\/8 - 5*m**4\/8 - 13*m**3\/6 + 7*m**2. Let c(z) be the first derivative of i(z). Differentiate c(u) wrt u.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 - -8. Let k be (1 - 1)\/(y - 1). Solve k = -2*v + 6 - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 851441 rounded to the nearest 1000?\nAnswer: 851000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 363867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 0*a - a + 12 = 0, -5*a + 16 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, 2\/3, 4\/5, 1\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3, 8.74, 0.3, -20, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g + 2. Let b(z) = 4*z + 7. Suppose 0 = 5*i + y + 5, 2*i + 6*y + 10 = 4*y. Suppose -1 = -u - i. Let o = -1 - u. Calculate o*b(j) + 7*d(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 4 = -6, 2*z + 3*h - 6 = 0. Solve 3*q + j = -18, z = -5*q + q + j - 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2070\/11 + -188. Let p = 513\/4 - 127. Put p, c, 0.4 in ascending order.\nAnswer: c, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccssccccsccc. Give prob of sequence sss.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -159.8 + 23.713709548.\nAnswer: -136.086290452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 902 - 888. Solve 4*i + 2 - t = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 2  (b) -5  (c) 3  (d) -0.012  (e) 5  (f) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**2 - 3*y - 3. What is the units digit of b(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 4*h + 11. Let v be k(-4). Let q(u) = -u**3 - 4*u**2 - 3*u - 38. Let i be q(v). Suppose 3*s + 12 = 7*s. Solve -i*l = -3*l - s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g**2 - 2*g**2 - g**2)*(-1 - 4 + 1)*(1 - 1 + 1).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and 20.318.\nAnswer: -2.0318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-18)\/15)\/((-6)\/340). Suppose -3*x - j + 77 = -11, 3*x + 5*j = s. Suppose -t - 3*n = -33, 0*t + x = t + 5*n. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2. Let u(c) be the first derivative of 11*c**5\/60 + 5*c**2\/2 + 2. Let p(g) be the second derivative of u(g). What is s(p(j))?\nAnswer: -121*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 349 - 344. Let d(q) be the first derivative of 1\/6*q**3 + 1\/2*q + 1\/2*q**2 - g. Let d(y) = 0. Calculate y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**5 + 18*l**4 + 15*l**3 - 72*l**2 - 108*l.\nAnswer: 3*l*(l - 2)*(l + 2)*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 7 = -2*r, 31*r + 20 = 18*r + 15*r + 16*w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -0.5, 1, 46, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*0.0295\nAnswer: 0.01475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3061, -6207, -9353?\nAnswer: -12499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -233*o. Let z(p) = -72 + 5*p - 66 + 138. Determine l(z(h)).\nAnswer: -1165*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, -0.07, 0, 2 in increasing order.\nAnswer: -1\/4, -0.07, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 102 + -60. Suppose 0*p = -5*p - g - y, -2*p - 24 = -2*g. Let w be (-57)\/(-38)*(-2)\/p. What is the nearest to 2\/3 in w, 5, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 20 = 32. Suppose -335 = -n*p + 953. What are the prime factors of p?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2146 - 122318\/57. Are n and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42471013 is divided by 42470954?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 4*d - 223 = 0, -2*h + 2*d + 437 = 3*d. Let x be h*(-3 + 13245) - -2. Round x to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r + 8*r = -12. Is (r\/(-8))\/((-1)\/38) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 9080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pvb when three letters picked without replacement from pbbjiuv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/2*(-28)\/126*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - 0) + 35 + -38 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -55 - -67. Let k be (36\/210)\/((n\/(-15))\/(-2)). Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-256)\/128 - (-276)\/141.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 565177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5178 + -5749. Put x, 1, -2 in decreasing order.\nAnswer: 1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 22*j - 4 = -24*j, 5*j = 25 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.4 - 92?\nAnswer: -72.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 20\/(-14)*(0 + -7). Solve 2*f + 34 - w = 4*s, 8 = -4*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-48)*-4*210\/315.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 5 + (sqrt(17) - sqrt(119)\/sqrt(7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.0115 and 6564343.\nAnswer: 6564342.9885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 48 = 4*k - 10, 1 = x. Calculate the least common multiple of 16 and k.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/(-6))\/((-5)\/3). Let p(s) = s**3 + s**2 - 28*s + 10. Let o be p(-6). Which is the biggest value?  (a) 0  (b) u  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, r: 2, w: 2}. Give prob of sequence wc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -66226, -132445, -198666, -264889, -331114, -397341?\nAnswer: -463570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 32\/(-20)*(-5)\/(-2). Let c(z) = 2*z**2 + 2*z - 4. Is c(j) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -14?  (a) -0.1  (b) 6.2  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21 + 49. Suppose -2*o - l = -0*o. Let v = -9 - o. Calculate the greatest common factor of v and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + -20. Let x = 109 - 73. Let q = s + x. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4+29451876701\nAnswer: 29451876705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -3*t**3 - 2*t**2 + 2*t + 5. Let d(n) = 9*n**3 + 5*n**2 - 6*n - 14. What is -7*a(v) - 2*d(v)?\nAnswer: 3*v**3 + 4*v**2 - 2*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-8)*(-19336)\/(-36255). Let k be (2\/(-6))\/((-38)\/(-12)). Which is the closest to l?  (a) 2\/7  (b) -2  (c) k  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6*3\/(-12))\/(2\/28). Suppose 3*g + 3*k = 4*k + 29, -2*g - k + i = 0. Calculate the smallest common multiple of g and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/o**6))**42\/(o**(1\/2)*o**(1\/11)) assuming o is positive.\nAnswer: o**(5531\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - -9) + 12 + -12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + u)*(-4*u**2 - 3*u**3 + 4*u**2) + 3*u**4 - 4*u**4 + 3*u**4 + (8*u**2 - 8*u**2 - 7*u**3)*(3 - 3 + 2*u).\nAnswer: -15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2028*p**6 - 28291*p**2 wrt p?\nAnswer: 243360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -21*m - 123. Let r be i(-6). Factor -4*p**4 + p**4 + 2*p**r - p**4 + 2*p**3.\nAnswer: -4*p**3*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of -3*s**6\/40 - s**5\/30 + s**4\/24 - 16*s**2. Suppose 88 = 22*f + 66. What is j(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 10 + 6. What is the second derivative of v**2 + 2*v**2 + v**g + 8*v wrt v?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of -2 + 0*z - 2\/3*z**3 - 2*z**2. Factor b(n).\nAnswer: -2*n*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -229 + 229.000361. What is q rounded to five dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3 and 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 997479949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 76*a**3 - 526*a**2 + 10*a + 20. Let k(h) = 49*h**3 - 351*h**2 + 7*h + 14. What is 10*k(s) - 7*x(s)?\nAnswer: -42*s**3 + 172*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(396) + -1 + -3 + -5))**2 - (4*(sqrt(66)*-1)\/sqrt(6) - sqrt(33)\/(sqrt(12)*-6)).\nAnswer: -5137*sqrt(11)\/12 + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5080)\/(-18) - (-6)\/(-27). Suppose 0 = 4*y - 7*y + w. Does 28 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 divided by 982\nAnswer: -7\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, 3, 0.031?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p - 5 + 0*p + 5 + 1. Let l be f(4). What is the highest common divisor of l and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 - 11*b**2 - 5*b + 9. What is y(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 AM and 10:56 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - o = 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w + c - 461, w - 73 = -0*w - 5*c. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*j - 22 = -23*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 23*p - 2. Let f(a) = a**3 - a + 3. Let m be f(0). Is o(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7683?\nAnswer: 3, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + (2 + sqrt(1377))*3)*-5 - -5*(1 + 1*(0 + sqrt(1700))))**2.\nAnswer: 3400*sqrt(17) + 123225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 68006087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 90 and 1020?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 75906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/10)\/((-2768)\/207600).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2127054 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*b**3*k*v - 1308635*b**3*v**2 - 2*b**2*k*v + 1023054*b**2*v**2 + b*k wrt b.\nAnswer: -18*k*v - 7851810*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - 1aa03?\nAnswer: -1aa00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1644*b**3 + 935*b**2 - 23*b + 829*b**2 + 56*b**2 + 23*b wrt b.\nAnswer: -9864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -121 + 671*r**2 - 164 - 672*r**2 to the form i*r + p*r**2 + n and give n.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 156474673 and 156474674 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5375?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 232053 + 4?\nAnswer: 232057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4020\/5427*-36*3\/2?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of -2*k**3\/3 + 48*k**2 - 1152*k + 1579. Factor q(b).\nAnswer: -2*(b - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.2  (b) 4  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5270 and 697030?\nAnswer: 367334810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h**2 + 10*h - 101. What is the remainder when m(10) is divided by 191?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -1097*b**3 + 1028*b**2 - 3*b + 9. Let s(x) = x**3 - x**2 + x - 3. Let c(v) = k(v) + 3*s(v). Find the third derivative of c(p) wrt p.\nAnswer: -6564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10533 + 872. List the prime factors of r.\nAnswer: 5, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 PM and 9:33 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 10 = -3*i, -6*g + 26 + 13 = -3*i. Let b(j) = -j**3 - 5*j**2 - j + 2. Let q be b(-5). Is g less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2 - 2*l - 35.\nAnswer: (l - 7)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -3*b**3 + b**2 - 2. Let l(m) = 16*m**3 - 6*m**2 + 11. Let f(h) = -11*i(h) - 2*l(h). Let p(k) = k**3 + 2*k**2 + k. Determine -2*f(v) + p(v).\nAnswer: -v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of g**5\/60 + 2*g**4\/3 + 29*g**3\/6 + 10*g**2 + 4. Suppose -4*q = -4*h - 31 - 45, 2*q + 4 = -h. What is the units digit of v(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 3*i = 6, 4*j + 0*j - 5*i + 8 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1097451 divided by -61\nAnswer: 17991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the second derivative of z**5\/20 + z**4\/6 + z**3\/6 - z - 138. Solve s(q) = 0 for q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 64 and 8096?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and -14?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.03 - -2.03. Let t = j + -23. Let a = t - -14. What is the second smallest value in -2, 5, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -3 + 1 + -53 + (905 - 897).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 2 + 10 = 0. Let r = 4 - g. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**4 - 48294*v**3 + 259193880*v**2 - 464043153450*v + 1389798019125.\nAnswer: 3*(v - 5365)**3*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 150 and 280.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -277.4?  (a) 0.02  (b) 3  (c) 12\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -71400000 to the nearest 1000000.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/2*3\/((-189)\/(-18)). What is the smallest value in 457, 0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5784036*b**2*i + 66767*b**2 - 7*b*i + 84*b - 1 wrt i.\nAnswer: -5784036*b**2 - 7*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 - ((-2 - (-1 - -4)) + 13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.769 - 2.769. Let j(p) = 7 + p + 4 - 2 + 0. Let l be j(-9). Put l, -0.3, d in increasing order.\nAnswer: d, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bzbfzzzbf. Give prob of picking 2 b and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.1  (b) 1\/8092  (c) -4  (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1041433 - -3?\nAnswer: 1041441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25924?\nAnswer: 2, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 72409 and 3964217.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2556b8 (base 13) to base 16\nAnswer: -db205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 138242?\nAnswer: 2, 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001 + 1111011?\nAnswer: 10000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -3*o**2 - 3*o - 4. Let h be (-40)\/12*(-12)\/(-8). What is v(h)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 0.72, 17, 0.0437 in descending order.\nAnswer: 17, 0.72, 0.0437, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 45 + -19. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -1 - (0\/11 + -6*29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1100673 (base 9) to base 10.\nAnswer: -591042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of y**5\/60 + y**4\/24 + y**3\/3 + y**2\/2 - y. Let p(b) be the first derivative of o(b). Suppose j = 3 - 5. Give p(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74112408 divided by -8234712.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 540*f - 538*f + 23 = 5*n, f - n + 7 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of -s**3\/6 + 2*s**2 - 2*s. Let c(g) = -g**2 + 8*g - 9. Let k be c(6). Give t(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 PM and 5:21 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 909?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 22746 = 3*h, -29723 = -5*r - h + 8195. Suppose -3*w + 3*f - 2*f = -7587, -2*f = -3*w + r. Round w to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 544\/10 - 4\/10. Suppose 4*q - 16 = -2*a, -3*a + 4 = -3*q - q. Suppose -j = -a*r + 6. Calculate the greatest common divisor of 10 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49358 less than -0.0569?\nAnswer: -49358.0569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (9 - 4) + -4 + 1. Suppose o*u - 2 - 2 = 0. Sort -4, 3, u in decreasing order.\nAnswer: 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -12, 37, 118, 231, 376, 553, 762?\n\"Answer: 16*a**2 + a - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 184450208 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(110) + sqrt(110)*5 - sqrt(110))\/sqrt(10) + sqrt(11) - (sqrt(121) - -3*sqrt(121))\/sqrt(11)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -7. Suppose -p + x*p = 15. Let h be 3*(-4)\/(-42) - (-1326)\/357. Solve 0 = t + h*u + 6, 5*u + 4 = -2*t - p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of -s + 12 - 1\/4*s**4 + 0*s**2 + 0*s**3. Let n(m) = -5*m**2. Calculate n(a(w)).\nAnswer: -45*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**3 + 10*k**3 - 7*k**3)*(45 - 416 - 166).\nAnswer: -2685*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 AM and 11:47 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2 - 10*y - 12. Let c be z(-8). Find the common denominator of (-3241)\/1260 + c\/18 and -91\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 2, -1, -2 in increasing order.\nAnswer: -2, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 12780 divided by 1278\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/8 - 39\/(-4). Suppose 0 = -0*o + 5*o - 5. What are the prime factors of u + o + 2\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:02 AM and 5:39 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -78431\/24 - -3268. Let k(j) be the third derivative of b*j**4 + 0*j**3 + 9*j**2 - 1\/120*j**6 + 0*j + 0 - 1\/210*j**7 + 1\/60*j**5. Factor k(q).\nAnswer: -q*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 9, y: 10, s: 1}. Give prob of sequence yw.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 divided by 41?\nAnswer: 18\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 + 5*r**2 + 10*r - 11. Let v be x(6). Suppose 0 = -4*j - 4*a + 4, -4*j + 3*a = j - v. Let y be 0 + j + 6\/3. Solve 0 = y*u - 10 - 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 369035 - 21.41?\nAnswer: 369013.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*m + 5*o + 27, -10 = 4*m + 2*o. Let y be (-2 - m)*(1 + -1). Let i = y - 0. Solve 2*f - 6 - 4 = i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 - 4. Suppose 4*s - s - 164 = -4*w, 206 = 4*s - w. Let b be 268\/s + 4\/(-26). Is 7 a factor of k(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:15 PM and 2:03 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119 = 4*o + 7. Suppose -o*q = -25*q - 6. Solve 7 = 5*r - q*n + 2, 5*r - 5*n + 10 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/((-2)\/(-4)*(5 - -1)). Let n(h) = 2*h**3 + 32*h**2 + 57*h + 19. Let q be n(-14). Which is the smallest value?  (a) -0.3  (b) -2\/17  (c) p  (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6928 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 582315479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from cccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -22320*s**2 - 62588 wrt s?\nAnswer: -44640*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 989?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/4034 and -95\/52.\nAnswer: 104884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 5*v**2 + 6*v + 38. What is the remainder when g(-6) is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 13) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5487405 by -11.\nAnswer: 498855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/6?  (a) -1  (b) 22  (c) -7  (d) -0.07  (e) -0.3  (f) -2\/133\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 5, 30922, -5, 1 in ascending order.\nAnswer: -14, -5, 1, 5, 30922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 5 - 3)*(-9 + 0 + 1)*(-46*y + 407*y - 41*y).\nAnswer: 23040*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1021*b - 5340*b - 963*b + 787*b - 2201*b.\nAnswer: -8738*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 PM and 1:18 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -71161978 - -18.3739.\nAnswer: -71161959.6261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - -15. Let y = -3667\/6 + 2413\/4. What is the common denominator of y and 10\/35 + o\/(-4)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -306*l**2 - 352*l**2 - 22786*l + 22786*l + 708*l**2.\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*z - 10*z - 5*z + (0 - 1 + 3 + (5 - 1 - 2)*(0 + 1 - 2) - 1 - 4 + 4 + 4 - 5 + 3)*(-2 - 4*z + 2) to f + t*z and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -n**4 + 14050*n**3 - 65805516*n**2 + 102766271454*n - 102700479987 = 0.\nAnswer: 1, 4683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -5*o. Let j = -175070\/9 + 19452. What is the closest to 0 in o, -2\/21, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 175399 is divided by 11658.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -72 + (15 + -25 - (8 + -12 - 2))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -1. Let t(x) = x + 1. Let r be t(4). Let s = 2 - 2. Suppose 0 = -a - 1 - s. Let n(b) = 2*b**2 - 4. Give a*n(k) + r*h(k).\nAnswer: -2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 313*u - 8 + 11 + 2 - 5. Let s(h) = -2*h. Determine s(a(d)).\nAnswer: -626*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 - 5*d - 3. Let s be n(6). Suppose -h - s = 2*h. Let b = -1 - h. Sort b, 1, -2.\nAnswer: -2, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6.4 + -6. Let i(n) = n**2 - 8*n + 4. Let j be (2 - -5)\/(5\/15*3). Let y be i(j). Which is the closest to 0?  (a) -2\/3  (b) y  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2864 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22 + 37. Let u = -1.02 + 17.02. Let m = h - u. Is 1\/4 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 838 is divided by 121.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/(-1*1 - 1). Let r be -2*(0 - -1)*(-8)\/56. What is the closest to x in 2, r, -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 PM and 8:31 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3081\/1958 + -136\/89. Let d = 22 - 23. Is d != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -15139055 >= 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 57 = 3*b - 15, 96 = 4*b + j. Let m = b + -19. Suppose m*i = -i + 180. Is 30 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 PM and 6:37 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 715 and 113971?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1467375 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -74\/91 + 5\/13. Let q = -200\/141 + 4\/47. Which is the closest to y?  (a) q  (b) 0.4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 9) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 7259, -1, 5, 2 in ascending order.\nAnswer: -1, 1, 2, 5, 7259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 + (-114)\/(-12))\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(0 - ((-9)\/309)\/1). Let a = w - 86. Calculate the remainder when a is divided by (2 + -10 + 2)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 24154 or 24152?\nAnswer: 24154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(4050) + -3)*1.\nAnswer: -3 + 135*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 16 = -4*s, -4*s - 124 = 2*p - 6*p. Let r = p - 34. Suppose 2*o + 1796 = 4*z - r*o, -895 = -2*z + o. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -127740, -127735, -127730, -127725?\n\"Answer: 5*y - 127745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2*m**2 + m - 3. Let d(n) = n**2 + n - 2. Determine -6*d(v) + 5*o(v).\nAnswer: 4*v**2 - v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -417 + 422. Sort -5, o, -9.\nAnswer: -9, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3476716 millilitres in litres?\nAnswer: 0.0003476716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2088 divided by -2088.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17*a + 9*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 + (-280)\/(-91))*2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46 = -12*r - 94 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 1044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the first derivative of -1145*k**2 - 3770*k - 920. What is the first derivative of z(m) wrt m?\nAnswer: -2290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 4 + (sqrt(208) - (sqrt(208) + 1))**2 - ((sqrt(13) + (sqrt(13)*-3 - sqrt(13) - sqrt(13))**2 + sqrt(13))*3 + sqrt(13) - (sqrt(832)*-3 + sqrt(13))).\nAnswer: -970 - 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o - 5*o + 4*o)*(-2*o**3 - o**2 + o**2) - 3*o**4 + 5*o**4 + 5*o**4 + (27 - 27 - o**3)*(4*o + 2 - 2).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/4 + 2\/8. Suppose -2 = -i*j + 2*j, 2*j = y - 7. Let p(f) = -f - 10. Let q be p(-10). Solve 2*h + q*h = t + 9, 5*h - y*t = 25 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 921467352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 116708775, 466835108, 1050378997, 1867340442?\nAnswer: 2917719443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-2\/5)\/d)\/d)\/d*d*d*d*(d\/d**(-4))\/d*d**(-1\/4)\/(d\/(d*d**(-3))) assuming d is positive.\nAnswer: d**(7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h - 1. Let u(d) = 3*d - 4. Let s = 3 + 65. Let q = s - 69. Let c(o) = 5*o**3 - o. Let z be c(1). Calculate q*u(v) + z*k(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of -q**4\/24 - q**3\/3 + 19*q**2. Let r(i) = 218 - 76 - 72 - 68. Give 5*b(s) + 4*r(s).\nAnswer: -5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12)*1*-5)\/(sqrt(96)*6).\nAnswer: -5*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 22\/3*p**4 + 0*p + 3*p**5 + 17\/3*p**3 + 4\/3*p**2 + 0.\nAnswer: p**2*(p + 1)**2*(9*p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(432)*1 + 4)*-1)**2 - (-5*sqrt(120)\/sqrt(4))\/(sqrt(10) + sqrt(10) + sqrt(10) + -2*sqrt(1210)).\nAnswer: 2275*sqrt(3)\/19 + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -9, 3043, 6095, 9147, 12199?\n\"Answer: 3052*c - 3061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2107 and 241619?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 527787427.\nAnswer: 527787427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -37.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 3*s + 58, 4*s = 4*o - 314 + 74. Calculate the remainder when 237 is divided by o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4, e: 6}. What is prob of picking 2 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -21 + 1\/4*n**2 + 2*n.\nAnswer: (n - 6)*(n + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -5*n**3 + 2*n**2 + n - 1. Let z be y(-1). Suppose 3*k - 15 = -0*k + 3*r, r = z*k - 45. Solve 2*a = 4*f + k, -5*a - 8 = 4*f - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 97 = -2*j - 103, j = -3*y - 19 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -1\/2, -24\/67, -4 in descending order.\nAnswer: -0.1, -24\/67, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 96153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-2)*-1*(-80)\/(-10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1526804 is divided by 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (183*p - 47 + 47)*(2 + 2 + 0) in the form m*p + g and give m.\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2 + (-601)\/210 - (0 - -2)*-2 and 13\/16.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0*(-2)\/(-4) - -7. Suppose -5*k + 6 + 19 = 0. Suppose 2*o - k - 3 = 0. Solve -o*y - 5*n = t, 0 = 4*y - 7*y - 5*n - 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - n + 20 = 2*d, 0 = -4*n. Solve d + 6 = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*c - 81 = 7*c - 9*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22217699839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 19*q**2 + 2*q + 6. Let p be m(-5). What is the tens digit of (p - (-5 + -2 + 9)) + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -62756.66 to the nearest 100.\nAnswer: -62800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/4, -3, 3, -187 in decreasing order.\nAnswer: 3, -5\/4, -3, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 416 + -415.99999838. What is s rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 29.5 and -17.5?\nAnswer: -516.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 19*a. Let i(r) be the first derivative of 9*r**3 + 642. Give g(i(q)).\nAnswer: 513*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, c: 14}. Give prob of picking 1 c and 2 b.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 894 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 - 2*h + 1. What is i(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2360505786.\nAnswer: 2, 3, 393417631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 smaller than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -9*c + 1. Suppose 5*r + 4*x + 0 = 1, 5*r + 19 = x. Let f be (r\/2 - -2)*-2. Does 10 divide t(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 201200 (base 3) to base 14.\nAnswer: 29d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y. Let k(v) = -4*v - 4. Let f(m) = 20*m + 21. Let z(h) = -2*f(h) - 11*k(h). Calculate b(z(s)).\nAnswer: 8*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/710 and 111\/70?\nAnswer: 4970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -1635*h + 14 + 3261*h - 1630*h. Determine k(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 - 29*g**2 - 111*g - 5347. What is j(-31)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 9:17 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2474529 divided by -3?\nAnswer: -824843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -753301.1 to the nearest one thousand.\nAnswer: -753000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2313422321 (base 5) in base 6?\nAnswer: 303453431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of -2200*w**3 + 281*w**2\/2 - w - 5649. Find the second derivative of t(a) wrt a.\nAnswer: -13200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 21*v - 42. Let g(x) = -7*x + 14. Let o = -82 - -85. Let z(a) = o*c(a) + 8*g(a). What is the derivative of z(y) wrt y?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/6, 41018\/21, -0.1, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 171 - 175. Let k be 4 - (-1)\/(-66 - x) - 4. What is the closest to 1\/3 in -2, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -c**2 + 24039*c - 1558310 = 0.\nAnswer: 65, 23974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 413089?\nAnswer: 413089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 12303 (base 5) in base 7?\nAnswer: 2531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 + 8*q - 9. Let c be (-136)\/(-102)*(-54)\/8. Give j(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the first derivative of -29\/4*w**4 + 0*w**3 + 3 + 0*w - 11\/2*w**2. What is the second derivative of c(y) wrt y?\nAnswer: -174*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 560 and 8470?\nAnswer: 67760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, 4, -5, 0.34.\nAnswer: -5, -1\/6, 0.34, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -353.4 - -453. Let v = 100 - l. Suppose -2*d = -3*r + 1, -2*r - 3*r = -2*d - 7. Which is the second smallest value?  (a) 2\/9  (b) r  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 415 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + (223 - (1 + 4)). Let s be 1 + (12 - (-17 + 14)). Calculate the greatest common factor of u and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - -3. Suppose 0*t = 4*t - v. What is the third derivative of 5*s**5 - 2*s**5 + 5*s**t + 0*s**5 wrt s?\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -bde23 (base 15) to base 8\nAnswer: -2233435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10 and -57041.4.\nAnswer: 570414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*a = -25*a - 18. Suppose 0 = -4*m - 4*d + 620, -4*d - 157 - 287 = -a*m. Calculate the highest common divisor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 100*r**3 + 13380*r**2 + 10656*r + 2128.\nAnswer: 4*(r + 133)*(5*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 424804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 91 - 87. Solve 2 = d*a - 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -72 - 180*v - 78 + 154 - 160*v + 61*v in the form g + s*v and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 4  (b) 0.4  (c) -186\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 + -1 + 63\/70. Let z = o + 3\/5. Let y be ((-18)\/8)\/1 - -2. Which is the second smallest value?  (a) 0.2  (b) y  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 229217*c**4 - 23*c**3 - 332*c**2 - 71*c + 268?\nAnswer: 5501208*c - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 380644 and 3739131?\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 180 * 2\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -218204, -872789, -1963760, -3491111, -5454836, -7854929, -10691384, -13964195?\n\"Answer: x**3 - 218199*x**2 + 5*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 40 = -3*c + 112, 0 = -2*c - 2*s + 48. Suppose -3*g = -12 - c. What is the highest common factor of g and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 1)*(-3 + n + 3 + (-4 + 4 - 2)*(-n - n + n) + 928*n + 3211*n - 6840*n) + 1 - 1 - n.\nAnswer: -2699*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 28 + -27.63. Let a = x - -0.03. Let z = 74\/5 - 78\/5. What is the closest to 1 in a, z, -2\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**0)**(7\/5))**(-2\/11)*((j**(-13)\/j*j)\/(j\/(j**(-3)*j)))**30 assuming j is positive.\nAnswer: j**(-26414\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*c**2 - 5*c**2 + 3*c**2 + 6*c**2.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4482 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -3*h - h, -2*i - 2*h = 120. Let q = -287\/5 - i. What is the nearest to 0 in q, 3, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**10*s\/(s*(s*s*s\/s**(2\/41))\/s)*s)**12 assuming s is positive.\nAnswer: s**(4452\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 592776.8ml?\nAnswer: 592.7768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22842\/(-108)*(-62)\/(-279)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from zugnzeo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 541840 to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 0  (c) -6  (d) -2  (e) 3  (f) -30\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (224\/(-144))\/((-3)\/26541)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*l**2 + 9*l**2 - 2 + 1 + 2*l + 3*l**2 + 3*l**2 - 5*l**2 + (6 + 7*l - 6)*(2*l + 1 - 1) to g*l + b*l**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 58  (b) 182  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k - 2*k + 4*k)*(-87 - 3*k - 5*k + 9*k).\nAnswer: k**2 - 87*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -26828, -107214, -241154, -428648, -669696, -964298?\n\"Answer: -26777*f**2 - 55*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 + 37. Let c be (8\/190)\/(((-108)\/a)\/(-9)). What is the second biggest value in c, -1\/4, -1, -1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 157632 divided by 3284.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 93787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 2:35 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k - 1 - 9*k - 6. Calculate the remainder when v(-6) is divided by -1*8\/48 + (-67)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i - 11. Let b be u(-13). Suppose -b*x = -x - 21. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -12*h**2 - 54*h + 36. Determine q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.183 - 0.053. Let d = -0.69 + 1.47. Let b = d - l. Round b to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 33*d - 10*d**4 - 45*d - 4*d**4 wrt d.\nAnswer: -168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.6 and 135691346860?\nAnswer: 135691346858.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gggp when four letters picked without replacement from {g: 8, p: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 2516.10568 to the nearest integer.\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l + 0*l - 5*l + 7*l. Let q(t) be the first derivative of 2*t**3\/3 - 3*t - 6195. Calculate q(b(r)).\nAnswer: 32*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 5*n**2 + 60*n - 14. Let a(i) = -7*i**2 - 59*i + 15. Determine -2*a(j) - 3*l(j).\nAnswer: -j**2 - 62*j + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 - -162121?\nAnswer: 162125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -67048 smaller than -67048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -97\/5 + 689\/35. Which is the second smallest value?  (a) -3  (b) o  (c) -5  (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*m**3 - 24 + 9 + 2*m**2 + 50 + 2*m**3 as y + d*m + w*m**2 + l*m**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 157 = -2*p + 165 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 24648191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 37387846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 greater than or equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 15) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7 - 11210099?\nAnswer: -11210092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l + 25. Let g(w) = -3*w - 20. Let y be g(-4). Calculate the remainder when 15 is divided by c(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*w - 23233 - 2615 = 0. Let h be 2*(w\/24 - -4)*3. Is h > -335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 AM and 10:11 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 673540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 33 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4390613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24 and 29128.\nAnswer: 87384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of 0*k + 2\/39*k**3 - 2\/13*k**2 - 6. Solve c(u) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -60 + 43 + (7 - -65)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(396)*3 - (sqrt(77) + sqrt(77)*1 + sqrt(77))\/sqrt(7) - sqrt(44)\/(sqrt(4) + sqrt(96)\/sqrt(6)))*-4 + 5.\nAnswer: -352*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*l - 3*l + 2*l)*(23 - 48 - 24)*(0 + 0 + 3) + 3*l - 5*l + 12*l + 0*l + 0*l - l in the form j*l + u and give j.\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -5.4271 * 17\nAnswer: -92.2607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m = -0*m - 21. Let l = 2 + -2. Let n = 1 + l. Which is the closest to 1?  (a) n  (b) -2\/11  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 - 68*f - 606. Determine w(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 156 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9\/252*-133 - -5*1. Let m(l) = -l**3 + 10*l**2 - 8*l - 9. Let c be m(9). Which is bigger: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the first derivative of -k**6\/15 + k**3\/2 + k - 1. Let a(g) be the first derivative of s(g). Find the second derivative of a(m) wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2782453?\nAnswer: 449, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5 - 3) + -3 + 1. Suppose i = -3*q - 0*q. Determine j so that 2\/5*j**4 + q - 2\/5*j - 2\/5*j**2 + 2\/5*j**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 49 and 390138?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 64 + 26. Solve 19 - 37 = -z*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 924753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2142617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 14 + 21?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 369267 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-8)*(-8)\/(-12)*4*1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.45, 1\/4, 2, -3, -2, 2\/7?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*p**4 - 65*p**3 + 115*p**2 - 40*p.\nAnswer: -5*p*(p - 1)*(p + 8)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 108 and 84?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*l**2 + 0 - 2*l**2 - 2 + 4 to q*l + n*l**2 + r and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -222 - 2331?\nAnswer: -3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/4*-39*2. Let t be p\/(-6)*1*4. Suppose -4*g = -5*s + 45, 0 = 4*s - 4*g - t - 6. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 5447, 5433, 5417, 5399, 5379, 5357?\n\"Answer: -l**2 - 11*l + 5459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(162) + 1*(sqrt(162) + (2*sqrt(162) - sqrt(162))))**2 - -6*(-2 + sqrt(162)))*1.\nAnswer: 54*sqrt(2) + 1446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 3932\nAnswer: -1\/1966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 + 7*d**2 - 7*d + 8. Let j be i(6). Solve 4*m + 25 = 5*g, j*m + 25 = 7*m + 5*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((-6*6*(0 + sqrt(704) + 1))**2 - ((2 + sqrt(704) + 1 - sqrt(704)) + sqrt(704) + (-1 + 2*sqrt(704))**2 + -2)).\nAnswer: 124560*sqrt(11) + 5465172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1502\/3 - -1504\/3. What is the nearest to z in -4, 2\/3, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of 2*b**3\/3 + 3*b**2\/2 + 14*b - 7. Is v(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, -2\/7, 15322, 3\/5, 2\/15 in ascending order.\nAnswer: -2\/7, 2\/15, 3\/5, 2, 4, 15322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -3*s - 2. Let h be -1 - (0 + 4)\/s. What is the greatest common factor of h and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*d - 108 = -18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q**2 + 2*q**2 - 4*q**2)*(-1 + 3 + 5)*(-3*q + 3*q + 2*q).\nAnswer: -70*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*p - 3*j, -2*p - 2*j + 7 = -3. Let x be ((-1)\/p)\/((-2)\/6). Solve -5*a = -6*a - x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c + 18. Let q be l(13). Sort q, -1, -5 in descending order.\nAnswer: q, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39127.1013s to weeks.\nAnswer: 0.06469428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2 + 8660*m.\nAnswer: 2*m*(m + 4330)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**2 - 9*l - 7. Let r be o(6). Let p be 10\/r - (-12)\/(-20). Suppose 0 = -11*f + 14*f + 12. Which is the second smallest value?  (a) f  (b) p  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 57 and 117.\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -33321, -33319, -33317?\n\"Answer: 2*x - 33323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 158348 and 3844.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -33 + 365\/11. Which is the closest to -0.1?  (a) 0.4  (b) 4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 300*t - 1. Let q be i(1). Suppose -q = -3*r - 5*j - 25, -5*r + 2*j = -405. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 353, 352, 349, 344, 337, 328?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - d + 52 = 0. Let c(k) = 131*k**3 - 2*k**2 - k + 2. Let a be c(1). Calculate the highest common factor of d and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 2*o = 14, 3*r + 2*r = -5*o + 10. Suppose 3*f - 6*f = 6, d + r*f = 33. What are the prime factors of d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 27 = -1. What is the least common multiple of 6 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 + -3)*((-20)\/16 + 1). Let y(c) be the second derivative of 0 + s*c**2 + 1\/3*c**3 - 9*c. Give y(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -8\/15, -74, 53, -4, -114?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 6, c: 7}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -12*p**2 + p + 1. Let f(r) = -142*r**2 + 106*r + 12. Give f(w) - 12*s(w).\nAnswer: 2*w**2 + 94*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -108 + 285. Suppose -179*w + 4 = -h*w. Let t be (-4)\/26 + 216\/52. Solve -t*i + 1 = -3*g, -2*g + 6*g - 28 = -w*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 44 and 3608?\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*u - 78 = -1. Let z be -1*3*(-20 - -15). Let s = z + -13. Put -3, s, u, -1 in decreasing order.\nAnswer: s, -1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 152512\/5 + -30502. Let 32*u - 40 + 38\/5*u**2 + f*u**3 = 0. Calculate u.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of -a**3\/3 - a + 3651. Let p(m) = -m**3 - 5*m**2 + 7*m + 6. Let t be p(-6). Determine h(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = 3*v + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(-26)*b)**(-2\/11) assuming b is positive.\nAnswer: b**(48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -28 - -279. Let j = -156 + n. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -40, -34, -28, -22, -16?\n\"Answer: 6*x - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 489 + 35039. Suppose -o - 3*h + 127112 = 0, h = -4*o + a + 472876. Round o to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of -o**6\/180 + o**3 - 2*o. Let f(q) be the second derivative of w(q). Let m(u) = u + 19. Let i be m(-18). What is f(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 3*q = -5*v + 125, 3*v + q = 75. Calculate the remainder when 45 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2172926941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(1\/3)*v)**(2\/7))**(-1\/2) assuming v is positive.\nAnswer: v**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 816 and 9690?\nAnswer: 77520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 2*d - 5*o - 400 = 0, -3*d = 3*o - 384. Suppose y + 8 = 34. Calculate the highest common factor of y and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1284493.3 rounded to the nearest 1000?\nAnswer: 1284000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-18))\/(((-2738)\/111)\/37)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(1 + 114\/(-108)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8782458*c**3*n**2 - 103*c**3 + 275135*c**2 + c*n**2 wrt n.\nAnswer: -17564916*c**3*n + 2*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.21 + 3.79. Let d = 4\/33 - 86\/165. What is the smallest value in m, d, 6\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 156, 210, 2 in ascending order.\nAnswer: 2, 156, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -129 + 131. Sort 5, u, 19 in increasing order.\nAnswer: u, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 22 and 144?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5628 and -23.01?\nAnswer: 129500.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 27170?  (a) -6  (b) -1\/2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 88797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 8\/52 - (1758\/(-260))\/(-3) and 39\/(-112) + (-4)\/(-14).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 divided by -286.\nAnswer: -15\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyymyym. Give prob of sequence mm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the first derivative of y**4\/8 - 3*y**2\/4 - y + 10. Let q(b) = 0. Calculate b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29.111 + 572.971. Round h to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-48)\/15)\/(174\/(-145))*(-90)\/12\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -35 - 41 - 41 + 301*h**2 + 117 as s*h + b + c*h**2 and give c.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 429 and 9233081.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 - 41*u**2 + 154*u - 26. Give g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -17*l**2*r - 34814609*l**2 - 81049*l*r + r wrt r.\nAnswer: -17*l**2 - 81049*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42 - (2 - 67)) + -4 + -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 328*h**6 + 2*h**2 - 61.\nAnswer: 39360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.5?  (a) -0.3  (b) 63  (c) -1\/2  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32050054573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 167, -1, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(-6))\/t**(1\/2))\/((t**(-1\/7)*t)\/(t*t**6\/t)) assuming t is positive.\nAnswer: t**(163\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 9, -936, 0.08?\nAnswer: -936","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -5*n - 4*c + 6*c, 16 = -2*n - 2*c. Let q be (-10)\/(-85) - (-4)\/(-34). Let p(h) = q - h**2 - 4 + 19*h + 24*h - 47*h. Give p(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -3 + 8. Suppose 0 = r*s - s - 8. Solve -2*k + s*k**4 - 6*k**3 - k**4 + 11*k**4 - 10*k**2 + 6*k**4 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -33 + 66 + -15 - -36\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -175 and -0.4282.\nAnswer: 74.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 - (0 + (-1 - -1)). Let t be (d - 2) + 162\/2. What is the highest common divisor of 54 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10897 + 10883.946. Let t = 13.0533163 + v. Round t to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 2*m + 16. Let g = -103 - -151. Calculate the highest common divisor of g and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t = -20*t + 324. Is (67\/2)\/(6\/t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 162 + -98. Let x = t - 45. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 723.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cvuvvvivvcuvuvuucvu. Give prob of picking 2 v.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 + (0 + 0 - 0). Suppose -s*c = -f - 133, 3*c - 239 = 3*f - 44. Suppose -3*u + 4*y = -8*u + c, y + 83 = 5*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7712 - 7711.99993603. Round g to 6 decimal places.\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (17 + 39) - -29.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the second derivative of -m**5\/30 - 11*m**2\/2 - 13*m + 3. Let b(h) be the first derivative of y(h). Let t(q) = -67*q. Determine b(t(x)).\nAnswer: -8978*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -904931 divided by -3?\nAnswer: 904931\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = b - 7, 3*b - 122*i - 37 = -127*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 6171 divided by 42476\nAnswer: 6171\/42476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are 1527358 and 1527376 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47 is divided by (-253)\/(-15) - 12\/(-90)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 46 + -50 - (-4)\/(-2 - -4). Let v = 6 + -2. Sort 2, 1, j, v in descending order.\nAnswer: v, 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12802\/(-172827))\/(1\/9*1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v**3 + 1758 - 1758.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -42316 - -6?\nAnswer: -42310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -61, -223, -479, -823, -1249, -1751, -2323, -2959?\n\"Answer: w**3 - 53*w**2 - 10*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 4*t**3 + t**2 - 1. Let n be x(1). Suppose n*l = 20 + 4. Suppose -i + l*i = 45. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/1 + -2 - 3. Let f(j) = j**2 + 9*j + 20. Let v be f(w). What is the remainder when 49 is divided by (v\/8)\/(1\/68)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -72369 - 7*j + 72371 + 31*j. Let w(b) = -4*b**2. What is h(w(k))?\nAnswer: -96*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*v - v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11139 and 6873?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*c**4 - 232*c**3 + 118*c**2 + 386*c + 60 = 0.\nAnswer: -10, -1, -1\/6, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 - -7. What is the nearest to 2 in p, 0.1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 + -10 + -6 + 151 + -130.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 4*m**2 - 1912*m + 9460 = 0.\nAnswer: 5, 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -40, -3, -2\/7 in decreasing order.\nAnswer: -2\/7, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2644984 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -3*s**2 - 30*s - 21. Let n be t(-9). Is ((-2)\/n)\/((-8)\/207384) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1017 - 1016.94995. Let h = y - 0.05. What is h rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13015 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -305\/2 + 153. Which is the third biggest value?  (a) o  (b) 12  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (24*(-49)\/(-140))\/(-4*3\/40)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggn when three letters picked without replacement from {b: 1, g: 2, n: 3, s: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -114629*d**2 + 21. Let c(r) = 3*r. What is c(f(h))?\nAnswer: -343887*h**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (8\/2 - 4 - -1) + -15. Let n be (-4)\/c + 2\/(112\/264). Factor -3*u**2 + 9\/2*u + 0*u**4 + 3\/2*u**n - 6*u**3 + 3.\nAnswer: 3*(u - 2)*(u - 1)*(u + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b3 (base 13) in base 7?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-5) + 6\/15. Let t = 2 + g. Suppose 20 = 4*s + 5*o, 5*s + 0*o - t*o = -8. Is s bigger than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 11*m. Let d(f) = -f - 2. Let q(n) = 3*n - 11. Let r(l) = 2*l - 10. Let y(p) = -5*q(p) + 6*r(p). Let z(t) = 5*d(t) - 2*y(t). Determine s(z(v)).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-60)\/(-17 + -3) + (-2 - -363). What is the highest common factor of 3796 and q?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3751, -7500, -11249, -14998?\nAnswer: -18747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m\/(m\/m**(-2)*m))**(4\/15)*(m\/m**(1\/10))\/m**(-3\/10))**(-2\/111))**(-14) assuming m is positive.\nAnswer: m**(56\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 792\/(-30)*(-7 - -2). Find the third derivative of 34*w**3 - 5*w**2 - 128 - 123*w**3 - j + 260 wrt w.\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -46 divided by 52\nAnswer: -23\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -3*q. Let o(a) = -29499*a. Calculate o(f(x)).\nAnswer: 88497*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 20155 - c?\nAnswer: 20146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of y**5\/20 - 3*y**4\/4 - 5*y**3\/2 - 15*y**2\/2 - 6*y. What is the tens digit of c(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -598*f + 843*f = 10422545. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 3*c + 3. Calculate the least common multiple of 4 and k(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-3\/8)\/(k\/k**6)*(k*k\/k**1)**(-3\/17) assuming k is positive.\nAnswer: k**(605\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 8024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 413 in 54\/7, 2\/13, -6\/11?\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500)\/sqrt(10)*4)\/sqrt(10).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 + 18 = 4*d. Suppose 2*t = -l + d, -t + 5*t = 12. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 636217.\nAnswer: 636217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - a - 2 = 0, -4*u = 4*a + 11 - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (107 - 101) + (-3 - 0) - (4 - 7 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/89177335 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/20 and 26\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r = -2*t + 7 + 8, -20*t + 15*t = r + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -73956 by 36978.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_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: Suppose -1119 + 521 = -2*z. What is the highest common factor of z and 2210?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90346.4 rounded to the nearest 100?\nAnswer: 90300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 - (-27)\/(1836\/(-782))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16311*c**2 - 48931*c - 6.\nAnswer: (c - 3)*(16311*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -28*z**2 - 210*z + 1161. Determine b(6).\nAnswer: -1107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 5*a - 2. Let p be z(3). Let h = 18 - p. Solve x - h*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 - 120201000101?\nAnswer: -120201000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 + -7)*(-1)\/5*1. Let f be (-30)\/6*(2 - 4\/o). Solve 4*s + f = 26 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + 3 + (-5 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 231, 465, 699, 933, 1167, 1401?\nAnswer: 1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(-28) + (-2)\/(-15). Let d(s) = s**3 - 13*s**2 + 12*s. Let b be d(12). Suppose b = -25*i + 24*i - 4. Sort -0.1, 0.04, j, i in descending order.\nAnswer: j, 0.04, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 87222.6 litres in millilitres?\nAnswer: 87222600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1907283 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 5*r - 36 = -3, -24 = -5*m - 2*r. Calculate the remainder when 8 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the second derivative of 1\/240*d**6 + 2*d**2 + 0 - 1\/3*d**3 + 2*d + 1\/6*d**4 - 1\/24*d**5. Let p(t) be the first derivative of f(t). Factor p(b).\nAnswer: (b - 2)**2*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {w: 11, v: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 74.2 + -74. Suppose -3*k = -4 - 5. Suppose 12 - 3 = k*y. What is the nearest to y in z, -0.4, -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-1))\/((-3)\/(21\/(-7))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 73399.2 hours?\nAnswer: 264237120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1112?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2076 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, w: 1, n: 1, i: 1}. Give prob of picking 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -6. Let q(d) = d**3 - 6*d**2 + d + 20. Let c be q(4). Sort c, s, 4 in decreasing order.\nAnswer: 4, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 238583 and 217.9.\nAnswer: 238800.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*x - 6 = 11. Let v = 116 + x. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49217 is divided by 214.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 + 2*u - 3. Let x(o) = o**2 + o - 1. Let p(f) = -4*f + 5. Let g(d) = p(d) + x(d). Determine -3*g(a) - 4*v(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3)\/(-6))\/((-2)\/20). Let h = -5 - l. Suppose -3*u - 21 = -5*q, 2*q + 4 = -5*u - h*q. Let m(v) = 2*v + 2. Calculate m(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0  (b) -90\/23  (c) 0.1  (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i - 7. Let x be n(9). Let m(p) = p**3 + p - 1. Let b be m(x). Let v(t) = -t + 4. Let l be v(b). Put -4, -1, l in decreasing order.\nAnswer: -1, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o = 3*o - 12, -2*o + 27 = -c. Let l = c - -38. Let r be (((-12)\/(-5))\/(-4))\/((-1)\/l). Solve r*j = -5*p + 40, 3*j - 3*p = -5*p + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {z: 1, w: 4, o: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -626 + 626.04. What is the biggest value in -2\/7, -19, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3273456\/(-130590))\/((-16)\/(-10)).\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 22, 2\/237 in increasing order.\nAnswer: 2\/237, 9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011011100 - -1111?\nAnswer: -1011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.05, -3.71, -1, -5, 1 in decreasing order.\nAnswer: 1, -0.05, -1, -3.71, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -326 by 6.\nAnswer: -163\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -2*f - 3*p - 9, -2*p = 3*f - 38. Let y = -10 + f. Suppose 114 = y*q - 6. Calculate the highest common divisor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the first derivative of 16*m**2 + 36*m + 69. What is the hundreds digit of w(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-125 - -2) + -3 + -4. Let c be (-106)\/(-901) - k\/51. Factor 4*t**2 + 26\/3*t**3 + 2\/3*t + c*t**5 + 8*t**4 + 0.\nAnswer: 2*t*(t + 1)**2*(2*t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 153, 319, 775, 1665, 3133?\n\"Answer: 24*j**3 + j**2 - 5*j + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1526*f - 3537*f - 3079*f - 3993*f + 2272*f.\nAnswer: -6811*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1251 divided by -2.\nAnswer: -1251\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2592967, 5185931, 7778897, 10371865, 12964835, 15557807, 18150781?\n\"Answer: f**2 + 2592961*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 17*u**2 - 6*u - 238. Let m(k) = 8*k**2 - 3*k - 115. Calculate -13*m(o) + 6*r(o).\nAnswer: -2*o**2 + 3*o + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y**(-2\/3)\/y))**(-18\/5))**(-38)\/((y**(-1))**(-13)*y**3\/(y*y**(-2))) assuming y is positive.\nAnswer: y**(1739\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 25059212 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 5*o + 188 = 0, -107 = -3*b - 2*o + 27. Let v = b - 35. Suppose 2*h + v = -m, 6*m - 21 = m + 4*h. What is the lowest common multiple of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174099990 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 56324 divided by -4?\nAnswer: -14081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/18)\/(4862\/(-3927)*(-7 - 0))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of -83*y**6\/720 - y**5\/120 - 35*y**4\/3 - 212*y. Let l(t) be the third derivative of n(t). Let d(c) = -c**2. Determine d(l(a)).\nAnswer: -6889*a**2 - 166*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*l**4 - 840*l**3*u - 2*l*u + 2*l - 300*u - 2 wrt l.\nAnswer: 48*l**2 - 5040*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - 1021?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 + 5*f**2 - 260*f - 972. Determine l(-4).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 0  (c) 0.4  (d) -9  (e) -3\/4  (f) -0.41  (g) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 15*m - 11*m = 3926, 0 = m - 1. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(1\/7)*l*l)\/l)\/l)**(-49) assuming l is positive.\nAnswer: l**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 665\/(-77) + (-8)\/22?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -116.96 and -8.\nAnswer: 935.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -5*g. Let d(o) = 70455*o. Calculate t(d(q)).\nAnswer: -352275*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + 0. Let o be 5*(-1)\/6 + (-7203)\/(-4410). What is the nearest to p in -0.1, o, -2\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1188 is divided by 92?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 99\/35 - (-4)\/(-10) - 3. Let m = -0.4 - 0. Which is the second biggest value?  (a) m  (b) 4  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 10:29 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-341)\/(-279) - (-2)\/(-9). Suppose 6*l - l = -25. Put y, -3, l in descending order.\nAnswer: y, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 113033 (base 6) to base 14.\nAnswer: 379b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - 9. Suppose 0 = -5*b - 7*s + 6*s, s = 0. Put b, 6, r in descending order.\nAnswer: 6, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10976 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z + 9. Suppose -j = -5*j. Suppose -2*p - 2 = -j*p. Let n be (-1 - p)*(-8 + 7). Calculate w(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36 - (-42 + (14 - -8) - -8)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of -d**6\/40 - 4*d**5\/15 + 11*d**4\/24 - d**3\/3 - 15*d**2. Calculate the lowest common multiple of 1 and y(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77300693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8564.91867 seconds to weeks.\nAnswer: 0.014161571875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-3)\/9)\/(3\/(-90)). Suppose 2*u - 3*z + x = 0, 2*u = 2*z - 0*z - 6. Solve -5*v + u = -9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123*g = 114*g + 90 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -32462840*v**3 + 111*v**2 - 210767 wrt v?\nAnswer: -194777040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3463645977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 18800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18 + -18. Suppose x = 5*w - 0*z + z - 6, -5*z = -5*w + 30. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4555793 * -5.\nAnswer: 22778965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 192 - 20.5.\nAnswer: 171.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x + 4. Let g be 2 + 3\/(6\/14). Suppose -2*o = -g - 3. Let v be m(o). Calculate the highest common factor of v and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32440 (base 5) in base 16?\nAnswer: 8c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17567 + 17586. Solve w*o + 4*c - 5 = 14*o, 2*c - 22 = 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (14 + 16 - 13*n + 26*n)*(0 + 0 + 3*n**3) to the form r*n**4 + i*n**3 + y*n + t + o*n**2 and give r.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/2529 and -47\/26352.\nAnswer: 7404912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 8, 0*q = 5*q + w - 12. Let u = -5 - -8. Suppose -a - u = -q*a. What is the least common multiple of 7 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -13*b**2 - 9*b - 3. Let d(i) = 10*i**2 - i + 11. Let a(m) = -11*m**2 + 3*m - 14. Let v(u) = 3*a(u) + 4*d(u). Calculate -4*c(s) - 7*v(s).\nAnswer: 3*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -531, -529, -527, -525?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -11. Let h(g) = g**3 - 7*g**2 + 58*g - 515. What is the remainder when h(8) is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -0.1, -143, 0.2, 10\/9 in ascending order.\nAnswer: -143, -0.1, 0.2, 0.5, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -2*b**5\/3 - 14*b**4\/3 - 28*b**3\/3 - 4*b**2\/3 + 10*b + 6 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 143360\/288 - (-4)\/18 is divided by 51.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3402245002 from -0.001.\nAnswer: 3402245001.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3294 + 3293.5. Which is the biggest value?  (a) 6  (b) x  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -980619.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 109935373?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 669.7786 millennia?\nAnswer: 669778.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 15 = 11. Does 7 divide (-1268)\/(-20) - p\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 177 + -89. Let x(g) = g + 19. Suppose 14*w = 11*w - 33. Let d be x(w). Calculate the greatest common factor of u and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + 79. Suppose 5*g - q = -66. Solve -1 + g = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + 63 + 243 = 0. Suppose 2*x - 3*x = -5*h + v, -2*h = -4*x - 6. Solve -4*f - 2 = -o, -2*o + f = -7*o - h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4da1 - a7ec?\nAnswer: -5a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18390521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 70 and 97475?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 14*k**3 - 2*k**2 - 13*k - 9. Determine d(-2).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*d**2*l**2 - 2797885*d**2*l - 545107*d*l**2 + 4*d*l - 2*l**2 wrt l?\nAnswer: 12*d**2 - 1090214*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12693*l**6*y**3 + 40*l**6 - 11*l**2*y**3 + 951*y**3 wrt l.\nAnswer: -1523160*l**3*y**3 + 4800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*w - 75 + 75 as i + t*w and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 v when three letters picked without replacement from vswvsswsvzv.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-2))\/((-3)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.7344 rounded to one dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -73927 at most -73927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-48)\/(-64) - 6\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -41.8 or 0.1?\nAnswer: -41.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.1, -28, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 477 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -19.1  (c) 1\/2  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.2, -0.22, 5, -0.058, 4\/15, -34?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -11*v + 6. Let s(b) = b - 1. Let l(h) = -r(h) - 6*s(h). Let y(g) = 4*g - 9. Let m(t) = t - 2. Let c(q) = -18*m(q) + 4*y(q). Calculate c(l(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21083 + -16.4.\nAnswer: 21066.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of (12018 + -10)\/4 + 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-6\/17)\/x**(-1\/20))\/(x**29*x*x**25) assuming x is positive.\nAnswer: x**(-18803\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of (-722)\/(-22) - (-320)\/1760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2494 and 602?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -4*o. Let v(t) = 3*t. Let b be 1*6\/2 + (-13)\/13. Let s(k) = b*z(k) + 3*v(k). Let p(j) = -6 + 8*j**2 + 4 + 2. Give p(s(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -5*u**3 + 36*u**2 + 483*u - 65. Calculate r(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -602*x = -606*x + 8. Solve 4*n - 8 = x*a, 0*n + 4*n - a = 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 8489*j + 3705. Let w(v) = 499*v + 218. Let u(z) = -3*p(z) + 52*w(z). Let x(y) = 13*y + 6. Calculate 6*u(l) - 221*x(l).\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 336004*c + 3894 = 336070*c for c.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add 14 and -7285401661648.\nAnswer: -7285401661634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -4*t - 13. Calculate h(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3734280146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, -1, -4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 3*x = 0. Suppose x = -z - 2*z + 120. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2492109, -2492108, -2492107?\nAnswer: -2492106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from olvv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -51 - -51. Which is the closest to q?  (a) 5\/3  (b) -1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j**3 + 3*j**3 - j**3)*(-23 + 24 - 26).\nAnswer: -50*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -102648 + 202.78.\nAnswer: -102445.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -32*l**2. Let c(d) = -3*d**2. Give c(n(u)).\nAnswer: -3072*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 351 divided by -5\nAnswer: -351\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1187.83 and -2810.\nAnswer: -3337802.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of w**3\/12 - 3*w**2\/4 + 9*w\/4 - 1. Determine z so that t(z) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 10:27 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/2 - 3029\/(-466). Solve -2*n + 2 = -3*k, -k - 88 + 90 = o*n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -123217*r**2 - 1 - 10*r + 61561*r**2 + 61605*r**2 to i*r**2 + j*r + f and give i.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*k + a, -11*k + 13*k - 3*a - 19 = 0. Let w(y) be the first derivative of -6*y + k + 1\/2*y**2. What is w(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(3\/11)\/(w**(-7\/9)\/w))\/((w*w\/(w*w\/(w\/w**(-18\/5)))*w)\/w*(w**(9\/8)\/w)\/w*w) assuming w is positive.\nAnswer: w**(-10591\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 45060023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 419*u**2*v**2 + 133*u**2*v - 681815*u**2 wrt v?\nAnswer: 838*u**2*v + 133*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2937332 is divided by 144?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 4*p**5\/3 - 20*p**3\/3 + 16*p\/3 = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -75138732 by -33938.\nAnswer: 2214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/108 and 145\/16236?\nAnswer: 48708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 830111 divided by -111.\nAnswer: -830111\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -84, 5, -10, -11, 19 in descending order.\nAnswer: 19, 5, -10, -11, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 55, 239, 663, 1447, 2711?\nAnswer: 4575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.7 - -61.7. Let g = p - 47. Let f = g + -6.3. What is f rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -5*8\/(-16)*2. Sort 0, y, -0.4, 33 in decreasing order.\nAnswer: 33, y, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 54 and 1085157.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -16052 times 33?\nAnswer: -529716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(2\/9)\/(u\/(u*u*u\/u**(-1\/4)*u))*u\/u**(-4)*u\/(u\/(u\/(u\/u**(-5\/2))*u))*(u\/((u*u**(2\/13))\/u))\/(u\/u**(-1\/8)*u)*(u**0*u)**(-42) assuming u is positive.\nAnswer: u**(-33983\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 147082454?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3*(1 - (-10)\/(-6)). Suppose 5*d = 2 + 38. What is the greatest common divisor of d and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10331 (base 12) to base 13.\nAnswer: 9862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 - -17. What is the remainder when 15 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 10 + 127*l + 9 - 147*l + 13 wrt l?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 35 - 58. Let w = -53 - s. Let o = w - -32. Which is smaller: 0.5 or o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 6*z = 5*d - 50, 5*d - 25 = 0. What is the highest common factor of z and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 0*r + 0 - 2\/5*r**3 + 1\/5*r**2 + 1\/5*r**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1028141?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 11660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 16 = 4*i - 16, -i = -z + 1. Let q(n) = 2*n**2 - 24*n + 93. Let k be q(7). Which is the second smallest value?  (a) k  (b) 0.4  (c) -2\/5  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 24 = -3*u + 7*u, 2*p = -u - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 - -3 - 8\/6. Let n = -40 + 39.7. What is the smallest value in s, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 95138*k = 95140*k - 54, 4*k - 84 = 3*b for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 35*p + 7072. Let n be 66\/260 - (-32)\/p. Factor 4\/5*m + 0 + 3\/5*m**3 + n*m**4 + 6\/5*m**2.\nAnswer: m*(m + 2)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -2\/1919351 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2095958963?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 966822*w**4 - 86*w - 4740.\nAnswer: 11601864*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 307, 2419, 8165, 19363, 37831, 65387?\nAnswer: 103849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-20)\/(-16))\/(4\/16). Suppose 6 = -x*m + 8*m. Solve -m*n + 4 = -3*a + 3, -3*a - 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -891 = -4*r - 5*r. Suppose r = -19*i + 28*i. Solve 2*o = -a + 2*a + 6, 2*a - 3*o + i = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -3*g**3 - 3*g**2 + 5*g - 3. Let x be w(1). What is the second smallest value in -1\/14, 14, x?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -65 - (-42 - (-31 + -38))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 - (-7)\/3)*(-10 + 448). Let b = 386 - a. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -3*m**5\/4 + 499*m**4\/4 - 6645*m**3\/2 + 39429*m**2\/2 + 287725*m\/4 + 195075\/4 = 0.\nAnswer: -5\/3, -1, 17, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4285.176 minutes to microseconds.\nAnswer: 257110560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -500747 - 5?\nAnswer: -500754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01942416944 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19554?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**4\/8 - 9*g**3\/8 - 15*g**2\/4 - 11*g\/2 - 3.\nAnswer: -(g + 2)**3*(g + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -26832 + 26830.1497. What is o rounded to two dps?\nAnswer: -1.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/8968 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 681473258?\nAnswer: 2, 53, 157, 40949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(425)*2 + -2 - sqrt(425))**2 - sqrt(425))*1.\nAnswer: -25*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the second derivative of 0*u**2 - 1\/12*u**4 + 2*u + 0 + 0*u**3. Let o(y) = 2*y. Give o(s(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 0) + -5 + (1 - 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3726, -3528, -2992, -1950, -234, 2324, 5892?\n\"Answer: 28*z**3 + z**2 - z - 3754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 121193773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.113 + -0.013. Let m be (-5 - (-115)\/25) + (-2)\/(-5). Suppose 5*w - 3*f = 4 - 39, -4*w - f - 11 = m. Put 2, w, z, 4 in ascending order.\nAnswer: w, z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 7*f - 31. Let x be r(12). Suppose 7*n - x = 3. Solve 2*s + 0*a = 3*a - 6, 0 = -4*s - 4*a + n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**4 - 2628*w**3 - 25980*w**2 - 64700*w.\nAnswer: -4*w*(w + 5)**2*(w + 647)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -3*g**2. Let d(v) be the third derivative of -353*v**5\/60 - v**2 - 58*v. What is r(d(f))?\nAnswer: -373827*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3510 and 23062?\nAnswer: 3113370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d - 2*d - 2*d)*(2*d**2 + 0*d**2 - 3*d**2) + (-2 - 2*d**3 + 2)*(-2 - 4 + 4) + 0*d**3 + d**3 - 2*d**3 - 4*d**3 + 2*d**3 + 4*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1029, 2051, 3073, 4095?\nAnswer: 5117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 + -132334103330?\nAnswer: -132334103320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 2*t - 3*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**3 + 188*s**2 - 2244*s + 2052.\nAnswer: 4*(s - 9)*(s - 1)*(s + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add 27.91 and 5.\nAnswer: 32.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13113 + -130?\nAnswer: 12323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 35906 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -361  (b) 0.2  (c) 1  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2 + 12*r - 15. Let h = -429 - -459. Suppose 5*y = -3*a + 50, -2*a + h = -0*y + 3*y. Determine v(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4699, -3, 24 in increasing order.\nAnswer: -3, 24, 4699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, 35522, -2, 1 in ascending order.\nAnswer: -2, 1, 41, 35522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -144.722 - 0.278. Let l = h - -211. Let s = 66.0054 - l. What is s rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/117890 and -101\/6130280.\nAnswer: 6130280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0 and 34609.\nAnswer: 34609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 604153, 603877, 603601, 603325, 603049?\n\"Answer: -276*o + 604429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 176315 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -923 = 28*m - 1119 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 33432, 33427, 33424, 33423, 33424, 33427?\n\"Answer: s**2 - 8*s + 33439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*b - 5, -4*d - 1 = -5*b. Solve 4*w + d + 11 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5141 + 4848.8. Round o to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - -5. Let f be (-2 - 1) + 47 + a. What is the greatest common factor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -942 and 0.2.\nAnswer: -941.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (8\/28)\/(3\/21). Sort p, 0, 2\/7.\nAnswer: 0, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 203 + -205. Let z be 3*(q\/6)\/(1\/(-2)). Solve -2*l + 0*l = 0, 2*g = z*l + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1334601 (base 9) to base 3\nAnswer: -1101011200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -4. Let v(y) = -2*y - 7. Let l(o) = -o - 1. Let b(p) = h*v(p) - 5*l(p). What is the first derivative of b(i) wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2238782 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.13 in 0.1, -12, -2\/9, -107, -6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -803*h + 1598*h + 19875 = 0 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, t: 4, b: 2}. Give prob of sequence kbk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2105 and 617367030?\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/462 and 41\/825300.\nAnswer: 9078300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1401 + -1?\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 193 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 5622 = 35*h - 37*h, d + 3*h = 1413. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -985 - -991. Suppose 189 = x*z + 141. Calculate the highest common divisor of 152 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 0*y - 5 - 1 + 5*y - 6*y + y**2. Let d be g(0). Does 18 divide (d\/(-27) + 525\/(-54))*-10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes before 2:59 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the first derivative of t**3 + 44. Let z(c) = -31*c. What is l(z(n))?\nAnswer: 2883*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23 + 26. Solve t - x = -2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5*m**3*w - 72*m**3 - 27*m + 96922*w wrt m.\nAnswer: -15*m**2*w - 216*m**2 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 17655*a + 229522. What is r(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/j**(-1\/32)*j**12*j\/(j\/j**2)*j**19\/j assuming j is positive.\nAnswer: j**(1057\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/5  (b) -0.17  (c) -1\/5  (d) 80  (e) 6  (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 2099 - 1076 - 1059 - 13*h - h**2. Give z(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/114150 and 79\/225.\nAnswer: 342450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 11:20 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 1.7. Let n = -1 - 4. Sort -2, x, n in increasing order.\nAnswer: n, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -82, -751, -2576, -6133, -11998, -20747?\nAnswer: -32956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21 - (2 - 4 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of -a**6\/6 + 9*a**5\/4 - 55*a**4\/6 + 80*a**2 - 175*a. Factor y(b).\nAnswer: -5*(b - 4)**2*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135218 to the power of 1\/2, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -816*s = -829*s + 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 10:02 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-20)\/(-6))\/((-10)\/(-15)). Let q = -0.03 - -0.03. Put q, o, -4 in ascending order.\nAnswer: -4, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -262*(0 - (-3)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 105446.\nAnswer: 2, 11, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 163175*q**2 + 155708*q?\nAnswer: 326350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 133*a - 1325. Calculate the remainder when h(12) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-2 + 21 + -45 + 9)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6\/30)\/(4\/26060) + (-3)\/1. Calculate the greatest common divisor of x and 850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20, -123, -304, -569, -924, -1375?\nAnswer: -1928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/(-5))\/(4\/10). Let v(x) = -14*x**3 - x**2 + 4*x + 26. Let l(b) = 3*b**3 - b - 5. Let o(i) = -11*l(i) - 2*v(i). What is the tens digit of o(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52867008 a multiple of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 16988402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.8993 + 0.9. What is w rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*a**4 + 6095*a**3*s - 4943*a*s + a + 3*s wrt a.\nAnswer: -36*a**2 + 36570*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 + 18*q + 6. Calculate p(-16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, d: 1, r: 2, h: 1, f: 2}. Give prob of sequence dhb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**(-24)\/j))\/(j**(-5)\/j) assuming j is positive.\nAnswer: j**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 206444568, 206444567, 206444566?\n\"Answer: -z + 206444569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the second derivative of -5*b - 3\/20*b**5 - 5\/2*b**3 + b**4 + 0 + 3*b**2. Factor x(h).\nAnswer: -3*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 261 and 725?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 156*a**4 + 2*a**2 + 872*a wrt a?\nAnswer: 1872*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8 + (-42)\/(-35)*5. What is the second derivative of 0*v + 0*v**3 - 4 - 4*v - 6*v + 2*v**3 - j*v**2 - 28*v**2 wrt v?\nAnswer: 12*v - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16057 (base 11) to base 3.\nAnswer: -1011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25566926 divided by 690998.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-4 + 5 - (1 + 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (324\/(-4))\/(-4 - 9\/(-2)). What are the prime factors of (m\/(-30) - 5)*80?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 43 + -8. List the prime factors of l.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 545511 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 163089347 and 289?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28425 is divided by 466?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 PM and 5:34 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -191, -288, -375, -446, -495, -516, -503?\n\"Answer: u**3 - u**2 - 101*u - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a - 370?\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17897*u - 17900*u - 4 + 3 + 1.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -257, -258, -261, -266, -273, -282?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k\/k**21))**41)**(-2))**(6\/35) assuming k is positive.\nAnswer: k**(-1476\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**4\/9 + 722*t**3\/9 + 3508*t**2\/3 + 5560*t + 8304 = 0. Calculate t.\nAnswer: -346, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7449*k**4 + k**3 - 6986*k**2 wrt k.\nAnswer: 178776*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -173\/25020 and -49\/860688.\nAnswer: 4303440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/5))**43*(a**1)**(-1\/2) assuming a is positive.\nAnswer: a**(-177\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 5, 4 in increasing order.\nAnswer: 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*s = -7942 - 38138. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 178126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 5*(-5 + 2*(0 + sqrt(847) + -3) + -5)*-4)**2.\nAnswer: -279840*sqrt(7) + 1456324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*v = -21*v + 3970. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 12*j**2 + 71*j + 9. Let c be h(-7). Let y = c + 123. What is the remainder when y is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 3  (b) 2\/8431  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 245542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 798\/49 + ((-69)\/21 - -3). Let w(j) = -s + 8*j**2 + 19 + 2*j - 9*j**2. Give w(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 + 11. Let z = b - 3. Suppose -z*y = -3*y + 5. Solve -y*q = -5*h + 5, -2*h + 5 = -h + 3*q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4316135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 20 = 4. Suppose 10 = -f + l. Let s(t) = t**2 + 2*t - 1. Give s(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -2*i + 52, -5*i + 15 = -4*i + 5*x. Suppose 4*f - 118 = -3*t, 2*t + t = -f + i. What is the remainder when 152 is divided by f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uau when three letters picked without replacement from aahuoauovvouaooho?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*i - l + 28, 3*l + 3712 - 3781 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2143 - -2147. Let x(r) be the third derivative of 0 + 7\/8*r**m - 1\/3*r**5 + 0*r + 0*r**3 - 2*r**2. What is the second derivative of x(j) wrt j?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 5) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(2448)*-4 - (0 + 2*sqrt(2448))) + 2 + (sqrt(2448) + -3*(sqrt(2448) + (sqrt(2448) - (-1 + sqrt(2448))) + sqrt(2448)))**2.\nAnswer: 240*sqrt(17) + 61211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -173 + 201 = 7*r. Suppose r*l + p - 85 = 11, -72 = -3*l - 5*p. Calculate the remainder when 143 is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -28 + 52. Suppose -j = -a - 4. Solve f = -4*f - a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**3\/h*h*h*h\/h**(-1\/9)*(((h*h\/h**2)\/h)\/h)\/(h\/(h\/(((h**(-5)*h)\/h)\/h))) assuming h is positive.\nAnswer: h**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 107 or -88331?\nAnswer: -88331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 5*p**2 + 2*p - 35. Determine y(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -0.129442169?\nAnswer: -0.388326507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 7609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the second derivative of -c**5\/30 + c**4\/6 - c**3\/2 + c**2\/2 - 6*c. Let b(x) be the first derivative of l(x). Calculate b(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -3*a**2 - a - 2. Let j(b) = -7*b + 2*b + 3*b - 17814 - 4*b**2 + 17811. Calculate -5*j(z) + 6*o(z).\nAnswer: 2*z**2 + 4*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 452*r**4 - 130*r**4 + 963*r**4 - 911*r wrt r?\nAnswer: 15420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -4*q**2 - 2 + 2 + 5*q. Let v(a) = -11*a**2 + 14*a - 18 + 18. Determine 17*f(k) - 6*v(k).\nAnswer: -2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -50799 by -287.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the second derivative of -r**4\/66 + 4*r**3\/11 + 4*r - 4. Factor x(h).\nAnswer: -2*h*(h - 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -509*b - 79. Calculate d(1).\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bmb when three letters picked without replacement from mmbb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28 - (31 + -7) - (-1 - (-2 - -3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 1494320?\nAnswer: -1\/747160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1533, -7621, -17737, -31881, -50053?\nAnswer: -72253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 203*z**3 - z**2 + z - 1. Let l be s(1). Suppose 3*q + l + 2 = 0. Let u = -13 - q. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 4*t = 0. Let w be 1*(1 - -24 - t). What is w rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 140277417 divided by 6\nAnswer: 46759139\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, h: 4, u: 1, j: 4, r: 5}. What is prob of sequence ruhd?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -4*q - 3*a, 25 = -5*q + 322*a - 319*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5.2 - -65.2. Let z = -60.3 + u. What is the smallest value in -2, z, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 367, 195, -191, -899, -2037, -3713, -6035?\n\"Answer: -18*j**3 + j**2 - 49*j + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 138729 and 12.\nAnswer: 554916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (31 + 3 + -18 - 31) + -7 + -1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 2:57 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 225 + 62. Suppose -3*f + 541 = -4*y, 3*f - f = 4*y + 362. Let n = u - f. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 - 9*s**2 - s - 3. Let t be z(-9). Let q be ((-68)\/(-6))\/(4\/t). Let v = 10 + q. What is the highest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -354 + -19501292.5.\nAnswer: -19501646.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/33 and 713\/(-156) - 4\/(-26).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83952 + 5489 = 2019*o - 4876*o - 33410 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 4, x: 3}. Give prob of picking 3 x and 1 g.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 4*d + 16. Suppose -6*m = -3*m + 9. Suppose g - 26 = 5*b, 5*b = 2*g - 23 - 4. Let z(x) = 2 - 5 - g - x - 1. What is m*w(s) - 10*z(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20236391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 261 in 14, 46, 0.4, 4?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1937 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 + 5*r + 1. Let m be d(5). Let i = -1 - m. Is (15\/i)\/((-6)\/16) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2*a**3 + 2)*(3*a + 2*a - 3*a) + a**2 - a**2 + a**4 - a**2 + a**4 + a**2 - 3*a**4 - 5*a**4 + 3*a**4 + (3*a**3 + 3*a**3 - 4*a**3)*(0*a + 0*a - a).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + (-2896)\/(-240) - 633\/45?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 21*y - 1. Let w(g) be the first derivative of 43*g**2\/2 - 2*g + 269. Determine -13*l(z) + 6*w(z).\nAnswer: -15*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:01 AM and 3:32 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-72)\/(-152)*((-7552)\/(-177))\/(-32).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1463627, 4 in decreasing order.\nAnswer: 4, 1, -1463627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29\/(174\/(-12))*2\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2*((-20)\/110)\/(3\/(-33)). Put c, 0.14, 8\/5, 2\/15 in decreasing order.\nAnswer: c, 8\/5, 0.14, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16\/59 - 1250\/177. Is a >= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1488 + -2507. Let q = n + 1565. Is q a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {f: 1, u: 12, k: 1, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 604 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -21 - -23?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -80 - -123. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 2 + (3 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 - d**2. Let s be a(-3). Suppose -s = -3*v + p, v = -v + 3*p + 19. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2903, -1, 14450 in increasing order.\nAnswer: -2903, -1, 14450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1226339426 to the power of 1\/2, to the nearest integer?\nAnswer: 35019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001000011111011 - 10001?\nAnswer: -1001000100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 141658 and 658.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 979*p = 3*p - 64752 + 14976 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 821821 to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 b when three letters picked without replacement from {b: 5, d: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(832)*-2*-5)**2.\nAnswer: 332800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1386 + 2084. Let z(h) = -58*h + 3. Let x be z(-6). Suppose 0 = i + 3*r - x, 5*r - f = -i - i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.24808 - -0.89561. Round p to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 5*b = 260. What is the smallest common multiple of 12\/26 - 71\/((-35997)\/25116) and b?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -730*u**3 - 7*u**2 - 22*u - 5. Let b(m) = -2920*m**3 - 27*m**2 - 84*m - 19. Calculate -5*b(c) + 19*s(c).\nAnswer: 730*c**3 + 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**3 - 13*l**2 - 5*l + 20. What are the prime factors of d(-13)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -89 divided by -2073336\nAnswer: 89\/2073336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -603*y = -458*y + 1329*y - 22110 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 22*v**3 + v**2. What is f(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -1) + 23\/((-22126)\/52)*1.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the first derivative of 26\/3*f**3 + 73 - 2\/5*f**5 - 7\/2*f**4 + 0*f + 1\/3*f**6 - 6*f**2. Factor o(g).\nAnswer: 2*g*(g - 2)*(g - 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 111  (b) -5  (c) 0  (d) 1\/6  (e) 101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2\/4 + 81465*v + 651672.\nAnswer: 3*(v + 8)*(v + 108612)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -6*y**2 - 5*y + 1. Let l(p) = 164 + 0*p**2 - 17*p**2 - 14*p - 161. Determine 11*j(w) - 4*l(w).\nAnswer: 2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 648610256?\nAnswer: 2, 7, 73, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-7)\/(-12))\/(8\/(-32)). Which is greater: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*f - 19 + 19)*((f - f - 2*f**3)*(2*f + 0*f + 0*f) - f**4 - 3*f**4 + f**4).\nAnswer: -77*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (108\/(-63))\/(900\/(-315)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.74285 - -0.15325. What is h rounded to two dps?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1757, -3607, -6675, -10949, -16417, -23067?\nAnswer: -30887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of -m**6\/210 + m**5\/28 - 3*m**4\/28 + m**3\/6 - m**2\/7 - 3*m + 4. Factor q(z).\nAnswer: -(z - 2)*(z - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00090061409 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 104 - 36 = 0. Put 1, 3\/4, c in increasing order.\nAnswer: 3\/4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -2*z - 14. Suppose q = -4*y + z, 4*y - 6*q = -2*q + 24. Suppose 23 - 13 = 2*d - 2*i, -12 = -3*d + 4*i. Solve -s - y*w = 20, 0 = 2*w + d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 0.3  (b) 0.024  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18.93 + -19.52936. Let q = -0.6 - t. Round q to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 2*b**3 - 5*b**2. Let o(q) = 3*q**3 - 9*q**2 - 1. Determine 7*l(w) - 4*o(w).\nAnswer: 2*w**3 + w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 - o**2 + 4*o - 6. Let q(w) = -w**3 + w. Let r(j) = -3*q(j) - t(j). Let u be r(1). Which is the nearest to u?  (a) 8\/3  (b) -2\/9  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13375 is divided by 100.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*4\/(-64)*-8*-14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10892 and 543044.\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 215827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55) + sqrt(220)\/(sqrt(16)\/sqrt(4)) + 2*sqrt(1980))\/((sqrt(50)*-1*3)\/(sqrt(20)\/sqrt(32))) + 3.\nAnswer: -7*sqrt(11)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110100010001 - -1001111011110?\nAnswer: 10000011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 112\/18 + 2\/(-9). Let k(g) = -10*g + 86. What is the remainder when 233 is divided by k(w)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**3 + 2*d**5 - d**3 + (0 + 0 + 6*d)*(2*d - 2*d + d**4).\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37296?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -29*l + 25. Suppose 4*n + l + 3 = -4*b, b = -2*n + 1. Factor -6\/5 + 1\/5*w**n - w.\nAnswer: (w - 6)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.86 and -2\/33 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of 5*b**2\/2 - 4*b - 1. Suppose 0 = p - 99 + 95. What is s(p)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-1 + -2 + sqrt(425) + sqrt(425) + 4 - -2*(-6*(-1 + sqrt(425)) - sqrt(425)))*3)**2.\nAnswer: -14040*sqrt(17) + 552321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1721 and 49576847.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 1  (b) 5  (c) -175  (d) 1009\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4147 - 4146.8. What is the biggest value in 2\/11, j, -40, 0, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (22320\/426870)\/(8\/36*-6)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13723 + 16561. What is the remainder when h is divided by 150?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -52135 - 6?\nAnswer: -5213b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7615281*j**2*y + 150115*j*y + 15*j - y wrt j?\nAnswer: -15230562*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-119)\/(-196)*4 + (-35)\/(-490)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(343) + (sqrt(343) + (5*(sqrt(343) + 2) - sqrt(343)) - sqrt(343)) + -1)*-3)**2.\nAnswer: 5670*sqrt(7) + 77904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -495 by 45.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and 0.046.\nAnswer: 0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22 + -3. Suppose 0 = 5*y + w - 44. Solve 4*l + 4 = y*g - 2, 0 = -g - 2*l - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*o*w**3 + 392930*o*w**2 - 1193*o - 800 with respect to w.\nAnswer: 6*o*w**2 + 785860*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.7 and 34.\nAnswer: -23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2 - -2)*((-906)\/(-8) + -2). Let u = -436 + r. Calculate the smallest common multiple of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-14)\/(-60) + 5\/(-15). Let x = -2 + 1. Which is bigger: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 47cac - 30b?\nAnswer: 479a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -15*u + 1. What are the prime factors of q(-3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 24 = 2*r + 59, -2*b - 10*r + 32 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-1)\/2)\/((-6)\/111) and (0 + -25)*6\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(5) + 1 + 3 + -3 + sqrt(15)\/sqrt(3)))**2 + (sqrt(240)\/(sqrt(4)*-1))\/(sqrt(192)*-1).\nAnswer: 577*sqrt(5)\/4 + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 56*o**2 + 5*o**2 + 5*o - 59*o**2 - 3*o**3 to the form k*o**3 + i*o**2 + s*o + f and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 - 5. Let d(r) = -r**3 + 9*r**2 + 11*r + 1. Suppose 6*o + 21 = 7*o. What is the remainder when o is divided by d(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -441, 2 in descending order.\nAnswer: 7, 2, -441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 115285373?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 AM and 7:49 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.34 or -2?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o + 0 + 10 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 372 - 236. Let m(w) = v*w + 136*w - 4 - 273*w. Give m(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -3*d + 97, 5*d - 2*d - 3*o = 96. Suppose d + 15 = 4*p. Solve 2*q + 2*q = p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 19232499 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - ((-1 - 3) + 3). Suppose 3*w - 394 = w + j*q, -5*q - 597 = -3*w. What are the prime factors of w?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 - r**2 + 12*r - 10. Determine h(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 divided by -16640.\nAnswer: -21\/16640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*k**2 + 351 + 352 + 346 - 1049.\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 315 = 4*v. Suppose 3*h - v = 54. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, q: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 91942167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z - 124 = -4*x + 5*z, 0 = -2*x + 3*z + 84. Let a = 16 - -8. What is the greatest common divisor of a and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-980)\/4900*(-135)\/((-3)\/1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 50 = -5*j, 2*s - j - j - 4 = 0. Let x(a) = 5*a - 4. What is the lowest common multiple of 22 and x(s)?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -27017 - -27210. What is the remainder when 204 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84*y + 100158 + 67170 = 0. What are the prime factors of y?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 2*k**3 + 224*k**2 + 1057*k + 92697. Determine h(-111).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, -36, 6, -2774 in decreasing order.\nAnswer: 6, -3, -5, -36, -2774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-36864 + 73729 - 36865 + 9043*u)*(-3*u + 0 + 5*u + 1).\nAnswer: 18086*u**2 + 9043*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 5*z = -29, -5*z + 2*z + 7 = -4*a. Let j be (-2 - (-9)\/3) + a. Sort 4, -3, j.\nAnswer: -3, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -76*l**3 + 2*l**2 + 9893*l - 3564130 wrt l?\nAnswer: -228*l**2 + 4*l + 9893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 6  (c) 3  (d) -49  (e) 0.25  (f) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15 + 9. Is 74\/(7\/((-21)\/q)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2*1 + (-598)\/312. Let n(l) be the second derivative of 2*l**2 - b*l**4 + 4*l + 0 + 0*l**3. Give n(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 3*t. Let l(s) be the second derivative of -s**3\/3 + 6*s. What is l(o(n))?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*a**3 + 14 + 1129 - 28*a**3 - 2*a + 11*a**3 + 8*a**3.\nAnswer: -3*a**3 - 2*a + 1143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - 0\/1)*4. Let z be (-4)\/26 + (-164)\/(-52). Solve -c**2 - z*c**2 - 2*c - 61*c**3 + b*c**4 + 63*c**3 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 256 - 993 = b, -5*y = 2*b + 3694. Let i be (-4)\/(-24)*4 + y\/(-6). Let z = i + -60. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wjwwjwwwwwwjwwwwjw. Give prob of sequence wjjj.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of w**3 + 6*w**2 - 12*w - 139 wrt w?\nAnswer: 3*w**2 + 12*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 8\/9, -3.4, -8, -3?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nk when two letters picked without replacement from {i: 1, h: 2, t: 1, n: 1, k: 1, x: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(847) - (-2 + sqrt(847))) + sqrt(28)\/(sqrt(8)\/sqrt(2)))**2.\nAnswer: 6*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cf when two letters picked without replacement from cmmkf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 194290916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (31 + 22 + (-43 - -23) - 23) + 73\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -6*(0 + (2 + sqrt(396) - sqrt(396)))*6.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 38 + -32. Let q be -3*(-694)\/r + -4. Suppose 8*p - q = 929. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.17 * 697.\nAnswer: -118.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the first derivative of x**3\/3 + 5*x**2 + 27*x - 6075. Determine g(-16).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvvxvxxvvvvvv. What is prob of picking 3 v?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 4*l = 14*l + 40, -5*h = -3*l - 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -115540 + 115540 - 4*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 1 - 3 + 2 + m + 4. Let y be u(-3). Let t be 0 + 6\/3 + y. Let f(q) = q - 1. Let w(d) = 4*d - 1. Calculate t*f(b) - w(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -1502*m + 1505*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/((-8)\/(-2388)*1). Let h = 839 + n. Calculate the greatest common factor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*g - 0*g. Let c be ((-4)\/g)\/1 - -5. Suppose -48 + 9 = -c*r. What is the highest common divisor of 104 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - -5. Let r = -1.1 + k. Let d be (6\/8)\/(3\/(-2)). What is the closest to 0.1 in r, d, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -29797.1 and 2283765987.\nAnswer: 2283736189.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -4*g**3 - 3*g**2 + g + 4. Let i(p) = p**3 + p**2. Let z(h) = 5*i(h) + u(h). Determine z(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 460 = 4*r - 0*r. What is the highest common divisor of 23 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 149.7 - -5.3. Let u = b - 160. What is the fourth smallest value in 0, -0.2, 0.78, u?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 98693303 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -296 + 295.719. Which is the biggest value?  (a) 4\/3  (b) 0  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f*f*f**(-2\/9))\/f*(f**(-2\/3)*f)\/f*f**(3\/11)*f*f**(-3\/5)\/f assuming f is positive.\nAnswer: f**(388\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24500 (base 7) to base 10.\nAnswer: 6419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/3 of a minute in seconds?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1931095 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 w when three letters picked without replacement from wuwuu?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y - 495 = -483 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2073866?\nAnswer: 2, 457, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2245268 rounded to 3 dps?\nAnswer: 1.225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -277072.2 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + 2\/((-10)\/(-8)*48\/126). Is t greater than 0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of y**4\/6 - 121*y**3 + 722*y**2 + 7919*y. Determine v so that o(v) = 0.\nAnswer: 2, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 - 21*k - 37. Let u be a(28). Suppose -u = -2*n + 4*x + 59, x = 0. List the prime factors of n.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 2*h - 4*m - 4 = -4*h, 4*h - 10 = 7*h + 4*m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(5)*2*-2.\nAnswer: -4*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8\/403 or -1?\nAnswer: 8\/403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 52 = -2*q, -3*q - 5*c + 48 = -5. Let h be 0\/(-1) + q\/(-56). What is the smallest value in -2\/9, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1078)\/(-3080) - (-6)\/(-10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1174009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -4607*z - 3189. Let p(d) = 3072*d + 2125. Let w(c) = -5*n(c) - 8*p(c). Find the first derivative of w(s) wrt s.\nAnswer: -1541","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*w + 3*a + 3, 0 = -4*w - 4*a - a - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 7*o - 10. Let x(u) = -3 - 5*u + 4 + 0*u + 2*u**o. Let m(q) = 4*q**2 - 9*q + 2. What is 4*m(l) - 7*x(l)?\nAnswer: 2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15641 = -14*i + 3217. List the prime factors of i.\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n*(n\/(n**(25\/2)*n))\/n*n**19)**(11\/4) assuming n is positive.\nAnswer: n**(187\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 19 + (6 - (-3)\/(-1)). Let n(r) = 37 - 8*r - j - 16. Let y = 8 + -9. Determine n(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 - 6*u - 5. Let f be z(-6). Let d = -3 - f. Let s = 113 - 789\/7. Which is the nearest to d?  (a) 0.5  (b) s  (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67976288.1 rounded to the nearest 1000?\nAnswer: 67976000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -39d22 (base 14) in base 6?\nAnswer: -3015454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 130*f - 220*f - 4 in the form x*f + l and give x.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.264 + -0.464. Which is greater: k or -1\/74?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z*(z\/(z**(-2)*z))\/z)\/z)\/z**(-4)*z**(2\/11)*z\/(z**2*z*z))\/((z**(-5)\/z*z)\/z**(2\/21))**(-1\/7) assuming z is positive.\nAnswer: z**(3968\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of ((-80253)\/(-222))\/(2\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -3*d + 30. Let m be g(11). What is the hundreds digit of (-170)\/7*49\/21*m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1764 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25658877, 25658860, 25658843, 25658826?\nAnswer: 25658809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000549948 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85) + -2*((sqrt(85)*-3 - sqrt(85)) + sqrt(85)) + sqrt(85))\/((sqrt(5) - sqrt(35)\/sqrt(175) - sqrt(5)) + sqrt(5)).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = -47*j + 54*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 PM and 6:21 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 32 - 23. Suppose 2*d = p + 13. What is the greatest common divisor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.969 + -0.069. Let z = t - 2.8963. What is z rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 4*p = -0*p - 12, 3*t = -4*p + 12. Let d be (-2 - t) + 4 - 1. Solve -2*w + 3*w = d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/13?  (a) -0.4  (b) 0.18  (c) -0.5  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 27693.9989 to the nearest 100.\nAnswer: 27700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 131 + -1650?\nAnswer: -1516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 5, -9, -41, -97, -183, -305, -469, -681?\n\"Answer: -z**3 - 3*z**2 + 2*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 9*w**3 + w**2 - 2. Let z be s(-1). Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.03 and -6816050258.\nAnswer: -6816050257.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or 7172633?\nAnswer: 7172633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4377 is divided by 88?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*a + 59 + 11 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-28)\/(-16))\/(-7)*-4 - -3. Is l not equal to 16\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 142097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -159 - -114. Let g = i + 49. Find n, given that 14580*n - 32805 - 35*n**4 + 14*n**4 - 2430*n**2 + 180*n**3 + 8*n**4 + 8*n**g = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*r - r**3 + 147*r**2 + 3*r - 145*r**2 + 137*r**4 + 2*r**3 + 5*r to n*r**3 + f*r + d*r**4 + j + z*r**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 21 = g, -2*k - 2*k + 4*g = 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((1 + -1 + 0)\/1)\/(-1). Suppose -k + 9 - 7 = m. Suppose -6*o + k*o = 0. Solve o = -6*h + 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - ((-247)\/39 + 5). What is the biggest value in y, 5, -1, 30, 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**2 + 0 + 3 - 1 - 6 + 6*a. Is 17 a factor of t(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8*(-13)\/104*13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3480 by -116.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2313 divided by 2313?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 - -3)\/3 - -1. Suppose -5*o = -4 - 1. Suppose -b + s = -o. Let a(w) = -1. Let u(t) = 2*t + 2. Give b*a(x) + u(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 567*l + 416 = 380*l - 3137 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170) + 6*(sqrt(170) - sqrt(170)*-2) + sqrt(170) + sqrt(170)*3*2)\/((6*sqrt(10)*-2 - (sqrt(90)*-2)\/sqrt(9))*-3))**2.\nAnswer: 2873\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 3:46 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 - 2197*n + 39379. Calculate d(18).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -2\/57  (b) 5  (c) 63  (d) 2\/7  (e) 2\/3  (f) -58  (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 - -2a433?\nAnswer: 2a429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 + -11. Let a = h + -1. Which is smaller: a or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -0*l - l - 7, 3*l - 12 = -2*v. Let r be 6\/(-33) + 120\/55. Let b(g) = 3*g**2 - 2*g**2 - r*g + g**l + 3. Determine b(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-9)*135\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 + 25*m**2 - 34*m - 6. Let j be w(23). Let i be (j\/35 + 4\/14)\/2. Do i and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*q**2 - 7338*q + 35 + 14623*q - 35 - 7285*q.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + w = -r + 48, -3*w = -6. What is the common denominator of 40\/17 and (5 - 4)*-1*r\/22?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -121307100 to the nearest 1000000.\nAnswer: -121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5656490*b - 8805870.\nAnswer: 5656490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1711347527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5117\/44 - 465\/4. Let o = -203427348423879\/16592 - -12260568246. Let m = o + 11\/1037. Find the common denominator of s and m.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**2 - 7*j - 5. Let i be z(-5). Suppose 5*v + 15 = -i. Let y = 9 + v. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:55 AM and 1:35 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 221 a factor of 336356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 30 - 6. Suppose 2*j - 14 - 4 = 0. Calculate the remainder when j is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) 3\/5  (c) -2  (d) 5.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 45434 in 0, -4, 3\/8, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 127*l - 907. What is the tens digit of c(49)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -278 = -37*g + 573. Solve 5*j - 2 = g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**2 - 11*j + 13. Let g be l(-12). Solve g + 9 = -5*c + w, 0 = -5*c - 4*w + 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4*5\/(-40)*-6. Find the second derivative of 2*b - 3*b**3 - 16*b + 4*b**3 + c*b wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/2  (b) -0.28  (c) -6239  (d) -18\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4488*m - 748*m + 2392*m.\nAnswer: 6132*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108 = 47*o - 20*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*z + 4*z + 243 = 0. Calculate the remainder when z is divided by 356\/20 + (-42)\/(-35).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - 14*r**2 - 38040*r - 494347. Determine i(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -169*r**3 + 2*r**2 - 7*r + 5. Let f be j(2). Let s = 1354 - f. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -448 = 86*h - 70*h. Put -1, h, 6 in ascending order.\nAnswer: h, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -30688 + -1183.6109.\nAnswer: -31871.6109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 36838714973.99999863 + -36838715159. Let i = -185 - s. What is i rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(135\/(-10))*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 223543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 14*g - 5040 = 0. What are the prime factors of g?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2*w**2 + w + 10. Give m(6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2494 (base 10) in base 9?\nAnswer: -3371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24.36614ng to milligrams.\nAnswer: 0.00002436614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4826)\/8568 - 824\/(-1442). Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 453 is divided by 151.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001401068 rounded to 6 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) -2  (c) 1  (d) -5\/8  (e) -8502\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, k: 4, c: 1}. Give prob of sequence kq.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the third derivative of -11\/12*p**5 + 37\/210*p**7 + 0*p**4 + 0*p**3 - 10*p**2 - 1 + 0*p**6 + 0*p. What is the third derivative of d(y) wrt y?\nAnswer: 888*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 divided by -6?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7.28 + -7.19000064. Let u = w - 0.09. Round u to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 w, and 1 n when three letters picked without replacement from {t: 1, k: 3, c: 3, n: 3, w: 8, a: 1}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 628879768 and 424?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 25*z**2 - 12*z + 11. Let k be 18*(-4)\/(-72)*6. Let c(u) = -46*u**2 + 25*u - 23. Let l(v) = k*c(v) + 11*m(v). Factor l(i).\nAnswer: -(i - 17)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 23, 1, -2, 84, 0, 2 in increasing order.\nAnswer: -2, 0, 1, 2, 23, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -545\/6 + 90. Let i be (-6 - 119\/(-14)) + (-4 - 0). Sort i, -1\/2, q in decreasing order.\nAnswer: -1\/2, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 115\/30405306 and 75\/10135102.\nAnswer: 30405306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -41 + 35. Is (-4244)\/(-6)*5\/((-20)\/f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 7*w**3 + 22*w**2 + 38*w - 60. Let n(f) = f**3 + f**2 + f - 17. Let d(y) = g(y) - 6*n(y). What is d(-14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1483557770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -u + 64 - 59 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r, 3*x = r - 4*r. Solve 4 + 6 = -5*b, -5*u + 5*b - 5 = x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/76 and (-21)\/49 - 86\/126.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 6 = -4*u, 24 = 2*u + 4*q + 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 2*z + 16, -5*j + 7*j = 5*z + 29. Let v(r) be the first derivative of 0*r + j - 2*r**3 + 3\/4*r**4 + 0*r**2. Suppose v(i) = 0. What is i?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**3 + 5*n**2 - 5*n + 6. Let v = -4 + -2. Let s be x(v). Let u(g) = 3*g + s*g - 5*g**2 - 3*g. Let z(i) = -i. Determine z(u(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/(-26))\/(33*68\/14586)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 37 = s - 23, -l + 2*s = -20. Calculate the remainder when 319 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -6, -19, -2, -4, 2, 773.\nAnswer: -19, -6, -4, -2, 1, 2, 773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -59\/3, -23\/3, -1\/2, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -223976571 + 223976612.99999848. Let l = q + -42. What is l rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**2 - 5*a + 2. Let o be f(-5). Suppose -4*g - 20 + 276 = 0. Suppose 5*i - g = i. Solve -9*l = -4*l + 4*v - i, 2*v + o = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/9)*f*f)**(-8\/5))**(-50)*(f*f**3*f*f*f**(-3\/5))**(26\/7) assuming f is positive.\nAnswer: f**(51118\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -8*s**2. Let r be y(1). Let b(n) = -n**2 - 10*n - 12. Let d be b(r). Solve 5*k + 16 = l - 1, 0 = d*k - 3*l + 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (10 - 12) - (-1 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the third derivative of -w**4\/24 + 2*w**2. Let o be b(-1). Suppose 4*f + 24 = 2*g, -3*f = -51*g + 53*g + 4. Sort -7, o, g, 5.\nAnswer: -7, o, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1944 + 1990. Solve -34 = -4*l - m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 7645029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -43251*m**4 + 42420.\nAnswer: -173004*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 484 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*l**2 + 2)*(-3 - 1 + 5)*(-43 + 20 - 3*l**2 + 56).\nAnswer: 6*l**4 - 72*l**2 + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1013?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 17.0986 and -1934.\nAnswer: -33068.6924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + 3044440?\nAnswer: 3044433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -3*f**5 - 318*f**4 - 1797*f**3 + 318*f**2 + 1800*f = 0.\nAnswer: -100, -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 + -11. Suppose -3*p + 21 = 4*p. Let n(m) = m - p*m - v + 4. Give n(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -4*k + 26, -5*k - 5*o = -8 - 2. Let f be (-2 + (2 - 1))*-2. Suppose 0 = -j - f*j - 12. Sort j, k, 1.\nAnswer: j, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -49*s + 25. List the prime factors of i(-7).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 3*v - 6, -v + 5*m = -12 + 10. Let o be (-1)\/4 - 15\/(-28). Which is the nearest to o?  (a) -2\/9  (b) -0.1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1100111519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiri when four letters picked without replacement from {r: 3, i: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63 = 8*k - 39 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u**3 - 275*u**2 - 1790*u - 2440 = 0. What is u?\nAnswer: -4, -2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - -8da19ca?\nAnswer: 8da19cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 24995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3, 6694, -2, 0.3, 0, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6339 + 2707 - 2101 = -230*b + 4617 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 8*i**3 + 67*i**2 - 25*i - 11. Let s(j) = 4*j**3 + 33*j**2 - 12*j - 5. Calculate 5*b(a) - 11*s(a).\nAnswer: -4*a**3 - 28*a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -11e721e (base 15) in base 11?\nAnswer: -72aa096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -3*w - 29. Let r be c(-10). Suppose -2*v + r - 3 = 0. Let d be (2 - (v - 0)) + (-3 - -4). What is the closest to -1\/2 in 21, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -5*z + z. Suppose z*m = -2*m + 20. Let o(d) = -7*d**2 + 8*d + 10. Let h(g) = -4*g**2 + 4*g + 5. Let l(c) = 5*h(c) - 3*o(c). Calculate l(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**2 + 5*a + 5. Let t = -12 + -3. Let h(b) = -b - 1. What is t*h(i) - 3*f(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 2 g when four letters picked without replacement from {g: 4, d: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together 633259102 and 384.\nAnswer: 633259486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -86, -153, -220?\n\"Answer: -67*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (6*2)\/1*((-12)\/(-21))\/((-290)\/406)\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(55)*2)\/sqrt(11)*-2.\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -234 + 354. Let w = -15 - -30. What is the greatest common factor of g and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 2395945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -15536 and -48.467647.\nAnswer: -15584.467647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.04 in -14, -5\/2, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -184 - -195. Let l(r) = 4*r + 4. Let c(t) = -7*t - 7. Let u(v) = 3*c(v) + 5*l(v). Let y(d) = -3*d - 3. Let x(b) = h*u(b) - 4*y(b). What is x(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 - 1)*(-4*d - d + 4*d)*(12 + 3 - 2) - 6 + 6 - 2*d.\nAnswer: 37*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (4 + -4*(-5)\/(-4))*(-8 - 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 8 - 6*m**4 - 4*m**3 + m + 2*m**3 - 10 as b + c*m**4 + v*m**3 + j*m + h*m**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 102725 and 2800.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -143 - -209. What is the highest common divisor of t and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u - 124. Let n(x) = x**2 - 656*x. What is h(n(i))?\nAnswer: -i**2 + 656*i - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28 by -39710.\nAnswer: -14\/19855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o**2. Let l(g) be the first derivative of -130*g**3\/3 - 15. Calculate l(k(m)).\nAnswer: -520*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11882870 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:55 PM and 3:57 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 10 - 10)*(2*y**2 + 0*y**2 - y**2).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3\/2  (b) -21\/20  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, s: 2, m: 1}. What is prob of sequence msa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of h**2\/2 - 9*h + 19. Calculate w(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39334441.\nAnswer: 37, 47, 22619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vllxnxlcxlnv. What is prob of sequence nc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.025, -16, 6.2 in descending order.\nAnswer: 6.2, -0.025, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -402*k**3 - 2*k**2 + 2*k - 4. Let q be d(3). Let u = 260803\/24 + q. Calculate the common denominator of 2 + (-1218)\/77*2\/8 and u.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 43 + 16. What is the first derivative of -i*v**2 + 22*v**2 - 10*v**2 - 4 wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -59915.5764 rounded to the nearest ten?\nAnswer: -59920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/(-2)*93\/(2139\/(-69)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 23 + 42 = 0. Let n = s + 27. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 3*b = -5748 - 12158, 3*b = -w + 4472. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 133954648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3)\/12)\/(3\/(-36)). Let j(p) = 6*p + p + 6*p + l - 17*p. What is j(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 441780727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 842022984 by -324354.\nAnswer: -2596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22 - 2*m**2 + 17 + 72*m + 4*m**2 + 5 to the form p*m + t + v*m**2 and give p.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1027 - 1068. Put 2, l, -2 in descending order.\nAnswer: 2, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and -305.9.\nAnswer: 152.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -233 by -90765.\nAnswer: 233\/90765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, 1\/4, -4\/7, 34.2, 0.1 in descending order.\nAnswer: 34.2, 1\/4, 0.1, -2\/5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43, -36, -155, -314?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.21 rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 633*h**4 + 521*h**4 + 2019*h**4 + (0 - 2 + 1)*(-2 + 3 + 0)*(0*h + 0*h - h**4) to the form k + u*h**4 + l*h**3 + c*h + g*h**2 and give u.\nAnswer: 3174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.1, 7, 8, 5 in increasing order.\nAnswer: -0.1, 1, 5, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3*6*(-20)\/(-15). Find the second derivative of -3*o + 24 - 7*o**2 - r wrt o.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 10*z**2 + 31*z. Let t(k) = -9*k. Let r(x) = -39*x. Let s(c) = -2*r(c) + 9*t(c). Calculate s(p(o)).\nAnswer: -30*o**2 - 93*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from sssssbbbbsssbs.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.2026 - -0.3026. What is the closest to v in 0, 36, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -339*((-24)\/(-9) + -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) -5  (c) -7.5  (d) -0.73  (e) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -141842, -284075, -426308?\nAnswer: -568541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50*a + 1050*a**2 - 50*a.\nAnswer: 1050*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1\/3049, -1\/4, 1185, -8?\nAnswer: -1\/3049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**3 + 35*u**2 - 30*u.\nAnswer: -5*u*(u - 6)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 305.0001225 + -305. Round b to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2288984 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x**2 + 3*x**3 - 71*x**4 + 3 - x**2 + 70*x**4 to m + l*x + y*x**2 + f*x**3 + o*x**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 7*t - 9 = 414*b - 411*b, -3*t - 2*b - 6 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19 + -4. Let x be 1*1*52\/(-4). Let v(r) = -2*r. Calculate the remainder when v(x) is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 10682.9ug?\nAnswer: 10682900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 20 + 20. Suppose 2*h = -4*m - n + 2, -3*h - 7 = m. Is m <= -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53187393 divided by -543.\nAnswer: -97951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 69 + -39. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 33645865 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -238*k**3 + 328*k**2. Let u(c) = 2*c**3 + c**2. Suppose 0 = 20*z - 10 - 110. Let l(o) = z*u(o) - m(o). Find the third derivative of l(w) wrt w.\nAnswer: 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8623?\nAnswer: 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -525 divided by -105?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -1135, 5, -2\/15, 174 in decreasing order.\nAnswer: 174, 5, -2\/15, -1135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 34\/25 + -6479\/3900. Let s = k - -2\/39. Is -10 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dyg when three letters picked without replacement from ygnynggydnydgnn.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.62 - 0.38. Which is the fourth biggest value?  (a) 2  (b) -13  (c) 0.1  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 164*v**2 + 88*v**2 + 78*v**2 + 75*v)*(-1 - 11*v + 0 + 1) as h + n*v**2 + u*v**3 + y*v and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l = -3*f + 16, f + 44 = -2*l + 52 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23.532 + -0.432. Let p = -21 + x. Let b = p - 0.1. Put 3, -1, b in decreasing order.\nAnswer: 3, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - -10. Let h = -9 + 8. Calculate the remainder when (h\/(-2))\/(2\/148) is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1190 = 4959*q - 5044*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2976 - 2544. What is the highest common factor of 4176 and v?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -302556*w - 8471592. What is u(-28)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 13) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -319 + 55 = -57*l + 1479 - 261 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*g + 10 = -11*g - 3*h, -h = 2*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c. Let s(t) = -5*t**2 - 1. Give s(j(d)).\nAnswer: -5*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*(-1 + (-1 - 0)). Let x = 1363 + -943. Is f\/5 + x\/50 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26)\/(-195)*(136\/(-714))\/((-2)\/(-15))?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q + 299 + 135 = 0. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 5*j - 16 = 0. Suppose 2*n = -6*q + j*q - 20, -5*q = -5*n. Put n, 3, -6 in ascending order.\nAnswer: -6, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 3 - 1 - -1) + -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ql when two letters picked without replacement from qvvqlllvlqqqqqlv?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 4) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -41.44566 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (1 + sqrt(288) + -4 + sqrt(288))**2*3 + 0 + (sqrt(288)*-1 + sqrt(288))**2 + sqrt(288) + 5 + sqrt(288)*3.\nAnswer: -384*sqrt(2) + 3484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 181.2*-0.028\nAnswer: -5.0736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 14 = -3*l, 0 = -3*g + 4*g - 2*l - 10. Let d(h) = h**2 + 3*h - 27. Let i be d(-6). Let c be (5\/25*6)\/(i\/(-30)). Solve g*n - c*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 249616770.\nAnswer: 2, 3, 5, 13, 640043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the second derivative of -n**5\/20 + 5*n**4\/12 + 5*n**3\/6 + n**2 + 10*n. Suppose 0 = 11*k - 3*k - 48. Determine s(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -4*s - 15, -3*o = -4*s + 2*o - 25. Let r be 1\/2*(129 - s). Suppose 5*f + 8 = f, 0 = -5*u - 4*f + r. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -40 and -171.\nAnswer: 6840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -95 - -94.897. What is c rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -3*r + 5. Determine k(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 308198.\nAnswer: 2, 11, 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 3 a when four letters picked without replacement from iiiiaaa.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 17 = 8. Let m(x) = -x**2 + 4*x - 5. Let f(c) = -3*c + 4. What is i*f(a) + 2*m(a)?\nAnswer: -2*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 4. Let d = 98.27524 - 0.27524. What is the nearest to k in 3\/7, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 60 + 15 = 0. Let m be 3\/(-2)*(-483 + -1). Is (3\/g)\/((-2)\/m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 (base 6) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 44\/10 + 4\/(-10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*i + i. Differentiate i*l**2 + 2*l**4 - 2*l**2 - 17 + 14 wrt l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 2 + (12 - (-2 + 11)) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 + 4*c - 3. Suppose -45 = 12*v - 3*v. What are the prime factors of b(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6232422 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2331946?\nAnswer: 2, 19, 109, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1103000 + 0?\nAnswer: -1103000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (66 - 3 - 4)*(37 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - -23 - 27 - (-1 - -4 - 9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 288 divided by -8.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 252 = z, 6*z - 4*z = -f - 54. Let y = f + 105. Suppose -4*w - 3*j = -26 - y, -4*w + 60 = -4*j. Calculate the remainder when 89 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -49, -218, -499, -892?\n\"Answer: -56*w**2 - w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -6\/5  (b) -163600  (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9297406 + 3149.8.\nAnswer: 9300555.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.374 - -142.374. Let v = x + -142. Let z = -24 - -73\/3. Which is the second smallest value?  (a) z  (b) 2\/7  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -130759\/40 + 3268. Calculate the common denominator of -137\/60 and m.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 48*d**4 + 2333706*d**2 - 32859513?\nAnswer: 192*d**3 + 4667412*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x + 13. Let o be a(9). Let r(q) = q + 16. Let n be r(-14). Suppose -o*s - 42 = n*g - 536, 0 = -5*g + 4*s + 1179. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 117 = -d. Let f = d - -61. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 312\/(-702)*16038\/108\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2063*z - 93*z + 27144 = 3627*z - 1259*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((9\/18)\/((-48)\/(-192)))\/(-4)*-148.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*z - 5*y - 93 + 71, 0 = -3*y - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 45 divided by -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9 - 9*y**2 + 4*y + 8 - 1 - 2*y**2 wrt y?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 31 + 42 = -g, -4*g - 4 = 4*k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 87 = 39. Let g = -320 + 329. Calculate the highest common divisor of m and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 106, 184, 228, 232, 190, 96?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 5104*z - 19681. Give o(4).\nAnswer: 735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*r + 5 + 5 - 10 + 20*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 29314*p + 234344. Determine j(-8).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2621 take away -130.245?\nAnswer: 2751.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2676582, 5353165, 8029748, 10706331, 13382914?\nAnswer: 16059497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 640 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1440*s**2 - 52*s - 192560 wrt s.\nAnswer: -2880*s - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (14\/(-21))\/((-1)\/3). Let y = 5 - 4.92. Let b = -112 + 453\/4. Sort z, b, y.\nAnswer: y, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -865, -2653, -4225, -4429, -2113, 3875, 14687?\nAnswer: 31475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -36361565*u - 9343377.\nAnswer: -36361565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -342.3 to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 3 = -z, -2*z + 7 = -5*h + 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**4\/3 + 10*n**3\/3 + 14*n**2\/3 + 2*n = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g + 5 - 2*g - 9)*(2*g**4 + 3*g**4 + 0*g**4).\nAnswer: 5*g**5 - 20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 2*g = -l + 6, -l + 5*g = 2. Differentiate l - 6*m + 2 - 3 with respect to m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 5 = -4*a, -4*a = -5*i + 36. Let u be i\/(-72) + (-2)\/(-6). Factor -2\/3*h + u*h**2 + 0.\nAnswer: 2*h*(h - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -2958\/1141?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/6)\/(s*s\/s**(-2\/13)))**15*(s\/s**(1\/3))**(-31)*s**(4\/5)*s*s\/(s*s**(1\/2)) assuming s is positive.\nAnswer: s**(-9589\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -676, -688, -700?\n\"Answer: -12*n - 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 1022 - 2022 - 2*w + 962. What is t(-24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/304 and -43\/868.\nAnswer: 65968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bqvbiqiubvbbribbbb. What is prob of sequence iiqv?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*j**2\/5 - 2840528*j\/5 = 0. What is j?\nAnswer: -710132, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -t**4\/5 + 127*t**3\/5 - 854*t**2\/5 + 1688*t\/5 - 192 = 0.\nAnswer: 1, 2, 4, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/7  (b) 0.08  (c) 3  (d) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 291085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -2*g. Suppose -7*a + 94 = 24. Let q(o) be the second derivative of 0*o**2 + 0 - a*o - 5\/6*o**3. What is b(q(w))?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 28868 >= 28867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -g - 4*h, 0 = -g - 5*h - 45 + 58. Solve -4 = 2*i, g*r - 2*i = -39 + 37 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 - 70 = -11*l. Let j = 26 - 27. Suppose 0*n + 4 = 2*n. Sort n, j, l, 4.\nAnswer: j, n, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15.1 - -3.\nAnswer: 18.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 117945502.\nAnswer: 2, 19, 3103829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -2898735861442 plus 2.86?\nAnswer: -2898735861439.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 70584 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -433\/354653 or -1?\nAnswer: -433\/354653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -13*t + 5*t**2 + 13*t = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1059241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/(-14))\/((-2)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -1 - 5*p**2 - 4*p - p**3 + 2 + 0*p**3. Suppose 0 = -k - 4*u + 13, k + 7*u - 9 = 4*u. What is i(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74 = -2*p - 2*t, 0 = 4*p - 5*t + 118 + 21. Let a = p - -57. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 196  (b) 0.2  (c) -2\/3  (d) 2\/9  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 50 + -50. Let a be (-3)\/(-2)*80\/30. Suppose 6*l - 19 = a*l - 3*w, l + 2*w - 10 = t. What is the greatest common divisor of l and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/8  (b) -4  (c) -1  (d) -117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4 + -2 - -58)\/(-343 + 346). What is the greatest common factor of f and 1280?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 52*f**3 - 2*f**2 + 562*f.\nAnswer: 312*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -192 - -195. Find the first derivative of -1137*d**s + 3 + 510*d**3 + 550*d**3 wrt d.\nAnswer: -231*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-3 - 8) - -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -o + 2*i + 3, 3*o + 5*i = 34. Suppose -2*u = -4*x + 20, -x - 17 = u + 4*u. Solve -x*v + o = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 2. Let p(c) = c + 4. Let m be p(8). Suppose 0 = 2*w + 2*w + m. Sort w, h, 1 in decreasing order.\nAnswer: 1, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.23353279*3\nAnswer: 0.70059837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*i**3 + 25*i**3 + 38*i**2 - 88*i**2 + 50*i**2.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -5 * 23.1\nAnswer: -115.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -296920*k**5 + 2*k + 214653?\nAnswer: -5938400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15 + 0 + 3 - 7 - 10*f**2 with respect to f.\nAnswer: -20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.8 * -13956413.\nAnswer: 39077956.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.5 - 0.37. Let r = 0.03 - u. Let y = 16 + -11. What is the closest to r in -2, y, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iuvhhbbvhzvu. What is prob of sequence hu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -80805 divided by 14\nAnswer: -80805\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2458*p**2 + 765*p**2 + 1995*p**3 + 1575*p**3 - 937*p**2 + 1608*p**2 wrt p?\nAnswer: 21420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**3 + 30*f**2 + 8. Let i be v(-30). Suppose -i = -7*g + 20. Suppose -6\/5*k**3 + 2*k**g - 24\/5*k**2 + 0 - 8\/5*k = 0. Calculate k.\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41677985773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 + 7*u - 99. Give b(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 730 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 + 1.5. Let y be 22\/(-8) + 0 - -3. What is the closest to y in b, 5, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 18\/27 - (-11)\/(-3). Let b be -240000*l\/9*13. What is b rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -29 in -2, 2, 0.1, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 152 divide 55002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 407*q - 15244 = -212*q - 18601 - 31307 for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the third derivative of -u**6\/30 - u**5\/5 - u**4\/2 - 2*u**3\/3 + 4*u**2. Solve l(p) = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 6*p + 20. Let y(s) = -s + 15. Let o be y(7). Find x such that x**p - 8 + o = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1523623187 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -33 and -126.\nAnswer: 4158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 187195 is divided by 569?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6113*m*y**3 - 19*m*y**2 + 19*m*y - 9*m - 6*y**3 + 4*y - 33 wrt y.\nAnswer: 36678*m*y - 38*m - 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -91371 (base 10) to base 11.\nAnswer: -62715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s = 4*s + 150. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -551?\nAnswer: 110.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 4*d + 2 - 0, 2*k = 5*d + 4. Suppose n + 30 = -4*t + 83, 0 = n - k*t - 83. List the prime factors of n.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 take away 12477506?\nAnswer: -12477506.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/2655 and 49\/1770?\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -151 or -150?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 7*z. Let a be m(1). Let p be 102\/5 + 2\/(-5). Let v be 1 - 0\/2 - -1. Solve -a = -x + 2*y, v*y + 2*y = -p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 3:40 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32599 (base 13) to base 5.\nAnswer: -10403143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1 and 12675.\nAnswer: 12675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1532854 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -7*x**2 + 1582*x - 22317. Calculate q(14).\nAnswer: -1541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00225133194 to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 699 - 616. Calculate the highest common factor of 747 and k.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 185 + -184.5. What is the second biggest value in 5, -1\/4, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 772499716 to the nearest integer?\nAnswer: 27794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/7, 0.3, -1\/22 in decreasing order.\nAnswer: 3\/7, 0.3, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 127 + -32. Let k = -95.1 + l. Sort 4, k, 2\/9 in ascending order.\nAnswer: k, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -329\/922 + -66\/461. Which is the smallest value?  (a) -2\/3  (b) 14  (c) -1  (d) 1  (e) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16?  (a) 0.0188  (b) 50  (c) 0.03  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1150.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10) + sqrt(250)*-4 + sqrt(80)\/sqrt(2))\/((sqrt(360)*1)\/sqrt(5)*6).\nAnswer: -17*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 17 = -3*x + 34, 37 = 3*x - 4*s. Let m be x\/(-18)*(-6)\/20. Which is the third smallest value?  (a) m  (b) 2\/15  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 507 and 234?\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 43*l - 215. Let h be d(12). Suppose 53*t + 36 = h. What is w in 0*w**2 - 2\/7*w**t - 1\/7*w**3 + 0*w - 3\/7*w**4 + 0 = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1046\/5 - -210. Let x = 0.3 - 0.1. Let y = 43\/424 - 12\/53. What is the second smallest value in y, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -158.4 - 1046.6. Let g = v + 1207.108. Let f = g - 0.108. Is -2 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/14)\/(-13 - (-2145)\/(-154) - -27)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of -p**4\/4 + 5*p**2\/2 - 3*p. Let o(q) = -2 + 0*q + q**2 + 0*q. Let v(j) = 2*g(j) + 5*o(j). Let l(i) = -2*i. Calculate v(l(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -52 - -365\/7. Let v(y) = -y + 1. Let k(i) = i**2 - 15*i + 14. Let m(p) = -k(p) + 5*v(p). Let l be m(9). Is n > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 296053879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61322*j + 30660*j + 30660*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 58360106953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -30647 - -30646.99999987655. Round u to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1667.39 - 1667. Which is the second biggest value?  (a) -3  (b) i  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15215003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (3 - 1)\/(1848\/679) and 97\/48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}